EPA/600/6-89/001
                                          May 1989
 DEVELOPMENT OF RISK ASSESSMENT METHODOLOGY
 FOR LAND APPLICATION AND DISTRIBUTION AND
 MARKETING OF MUNICIPAL SLUDGE
Environmental Criteria and Assessment Office
Office of Health and Environmental Assessment
Office of Research and Development
U.S. Environmental Protection Agency
Cincinnati, OH  45268

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r
                                          DISCLAIMER

             This document has been reviewed in accordance with U.S. Environmental
          Protection Aaencv policy and approved for publication.  Mention of trade
          names or co^ercial products dSes not constitute endorsement or recommenda-
          tion for use.
                                                ii

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                                    PREFACE
      This  1s  one of a series  of reports  that  present  methodologies  for
 assessing  the potential  risks to humans  or  other  organisms  from the disposal
 or  reuse of municipal sewage  sludge.   The  sludge  management practices
 addressed  by  this  series  Include land  application practices,  distribution
 and marketing programs,  Iandf1ll1ng,  Incineration and ocean disposal    In
 particular, these  reports  provide methods  for  evaluating  potential  health
 and environmental  risks  from  toxic chemicals  that may be  present  in sludge.
 This  document addresses  risks from chemicals  associated with  land
 application and  distribution  and marketing  of  municipal sludge.

      These proposed  risk assessment procedures are designed as  tools to
 assist  In  the development  of  regulations for  sludge management  practices.
 The procedures are  structured to allow calculation of  technical criteria for
 sludge  disposal/reuse options  based on the  potential  for adverse health or
 environmental  Impacts.  The criteria may address  management practices (such
 as  site  design or process  control  specifications), limits on  sludge disposal
 rates or limits  on toxic chemical  concentrations  In the sludge.

  u J{e "»tho
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                            DOCUMENT DEVELOPMENT
Authors and Contributors
Reviewers: Food Chain Impacts
R.J.F. Bruins, Document Manager
A. Jarabek, Co-Document Manager
A. Molak
L. Fradkin
W.B. Peirano
Environmental Criteria and Assess-
  ment Office
Office of Health and Environmental
  Assessment
U.S. Environmental Protection Agency
Cincinnati, OH  45268
J. Ryan, Co-Document Manager
Water Engineering Research  Laboratory
Office of  Environmental Engineering
Technology and  Demonstration
U.S. Environmental  Protection Agency
Cincinnati,  OH  45268

J.D. Dean  and P.A.  Mangarella
Woodward-Clyde  Consultants
Walnut Creek, CA  94596

G. Dawson
ICF  Northwest
Richland,  WA 99352

E.E. Niebla  and B.A.  Corcoran
Wastewater Solids  Criteria  Branch
Office  of  Water Regulations and
   Standards
 U.S.  Environmental  Protection  Agency
Washington,  DC   20460

 Reviewers:  Food Chain Impacts

 Dr.  Dale E.  Baker
 Department of Agronomy
 Penn State University
 University Park, PA  16802

 Dr.  Rufus Chaney
 U.S. Department of Agriculture - ARS
 Beltsville, MD  20705

 Dr. Thomas Hinesly
 Department of Agronomy
 University of  Illinois
 Urbana, IL  61801
Dr. Lee W. Jacobs
Department of Crop and Soil Science
Michigan State University
East Lansing, MI  48824
Dr. Terry J. Logan
Department of Agronomy
Ohio State University
Columbus, OH  43210

Dr. Al Page
Department of Soil and Environmental
  Science
University of California
Riverside, CA  92521
 Dr. Bill Sopper
 Institute  for  Research on  Land and
  Water
 Penn  State University
 University Park,  CA  16802
 Reviewers:   Surface  Runoff  Modeling

 Dr.  Carl  Anderson
 Davidson  Hall
 Department  of  Agricultural
   Engineering
 Iowa State  University
 Ames, IA   50011
 Dr.  Douglas A. Haith
 Department of Agricultural
   Engineering
 Cornell University
 Ithaca, NY  14853
                                       1v

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                         DOCUMENT DEVELOPMENT (cont.)
 Reviewers: Health Effects

 Dr. Dale Johnson
 Department of Environmental Health
 University of Cincinnati Medical Center
 Cincinnati, OH  45267

 Dr. Martha Radike
 Department of Environmental Health
 University of Cincinnati Medical Center
 Cincinnati, OH  45267
Document Preparation
                                                  Bohanon-

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                                         TABLE OF CONTENTS
                                                                                    Page
             1.
INTRODUCTION AND DESCRIPTION OF GENERAL METHODOLOGIC APPROACH      1-1
                 1.1   PURPOSE AND  SCOPE	}  \
                 1  2   DEFINITION AND  COMPONENTS OF RISK  ASSESSMENT	1-2
                 1.3   RISK ASSESSMENT IN THE METHODOLOGY DEVELOPMENT PROCESS ...   1-3

                        131  EXPOSURE  ASSESSMENT 	   ^~3
                        l!s'.2  HAZARD IDENTIFICATION AND DOSE-RESPONSE ASSESSMENT.   1-7
                        1.3.3  RISK CHARACTERIZATION	1~8

                 1  4.   POTENTIAL  USES OF THE METHODOLOGY IN RISK MANAGEMENT .  .  .   1-10
                 1.5.   LIMITATIONS OF THE METHODOLOGY	   I-'1

            2.   DEFINITION OF MANAGEMENT PRACTICES	2-1

                 2.1.   INTRODUCTION	2~\
                 2.2.   LAND APPLICATION PRACTICES	2~3

                        2.2.1.   Agricultural Utilization	2-3
                        2.2.2.   Forest Land Utilization 	   z~3
                        2.2.3.   Drastically Disturbed Land Utilization	2-6
                        2.2.4.   Dedicated Land Disposal Site	2-7
                        2.2.5.   Summary 	   z 8

                 2.3.   DISTRIBUTION AND MARKETING PRACTICES 	   2-9

                        2.3.1.   Assumptions 	   2-11
                        2.3.2.   Requirements or  Potential Requirements	
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                      TABLE OF CONTENTS (cont.)
 4.3.
 4.4.
 4.5.
4.7,
4.8.
                                                                     Page

        4.1.2.   Contaminant Uptake Relationships	     4-10
        4.1.3.   Toxicity Thresholds for Nonhuman Organisms]  .  '  '   4-21
                 Human Diet	     4_23
                 Health Effects in Humans.	'.'.'.'.'.   4-29
 4.1.4.
 4.1.5.
 4.2.   SLUDGE-SOIL-PLANT-HUMAN TOXICITY EXPOSURE PATHWAY	4-41

                 Assumptions	 .                          4_41
                 Calculation Method	'.'.'.'.'.'.'.'.'.'.  4-41
                 Input Parameter Requirements	..'.'.'.'  4-63
 4.2.1.
 4.2.2.
 4.2.3.
 SLUDGE — HUMAN TOXICITY (SOIL INGESTION) EXPOSURE
 r MInWM!»••••,.»
                                                                    4-72
        4.3.1.   Assumptions 	                    4_72
        4.3.2.   Calculation Method	..'."!.' .'  .'  ,'  .' .'  4-72
        4.3.3.   Input Parameter Requirements. ..........  4-75
 EXPOSURE PATHWAYS FOR HERBIVOROUS ANIMALS FOR HUMAN
 CONSUMPTION	
                                                                    4-78
        4.4.1.
        4.4.2.
        4.4.3.
          Assumptions	             4_78
          Calculation  Method	..........   4-78
          Input  Parameter  Requirements.  ..........   4-33
 EXPOSURE  PATHWAYS  FOR  TOXICITY  TO  HERBIVOROUS  ANIMALS        4-86
 4.5.1.    Assumptions  	                    '   4_87
 4.5.2.    Calculation Method	     4-87
 4.5.3.    Input  Parameter Requirements.  ..........   4-97
4.6.    SLUDGE-SOIL-PLANT  TOXICITY  EXPOSURE  PATHWAY	4-;
                                                              87
       4.6.1
       4.6.2
       4.6.3.
         Assumptions	        4_87
         Calculation Method	.'....'..  .  4-88
         Input Parameter Requirements	  4-88
         PATHWAYS FOR TOXICITY TO SOIL BIOTA AND THEIR
                                                                   4-89
       4.7.1,

       4.7.2.
         Sludge-Soil-Soil Biota Toxicity Exposure
         Pathway	4_89
         Sludge-Soil-Soil Biota-Predator Toxicity
         Exposure Pathway	  4-90
EXAMPLE CALCULATIONS 	  4_93
       4.8.1,

       4.8.2.

       4.8.3.
         Sludge-Soil-Plant-Human Toxicity Exposure
         Pathway	4_94
         Sludge-Human Toxicity (Soil  Ingestion)  Exposure
         Pathway	4_105
         Exposure Pathways  for Herbivorous  Animals
         for  Human Consumption 	   4-107
                                vii

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                        TABLE OF CONTENTS (cont.)
                                                                       Page


           4.8.4.    Exposure Pathways for Toxicity to
                    Herbivorous Animals	4 MI
           4.8.5.    Sludge-Soil-Plant Toxicity Exposure Pathway .  .  .  4-111
           4.8.6.    Exposure Pathways for Toxicity to Soil
                    Biota and Their Predators	4-1 M
5.  EXPOSURE AND ASSESSMENT OF HEALTH EFFECTS FROM INHALED
    PARTICULATES	
                                                                   5-1
    5.1.   INHALATION OF PARTICULATES ................  5-1
5.2.   DUST EMISSION FACTOR
5.3.   DUST EMISSION RATE AND AIR CONCENTRATION DETERMINATION .

5.4.
                                                                         '
                                                                       5-2
EXAMPLE CALCULATION	5~4

        ATTfiM MFTHnns FOR SURFACE RUNOFF EXPOSURE
                                                            6-1
6.  CRITERIA CALCULATION METHODS FOR SURFACE RUNOFF EXPOSURE
    PATHWAY
    6.1.
    6.2.
    6.3,
       OVERVIEW OF THE METHOD
       ASSUMPTIONS
           6.2.1.   Loading Algorithm Assumptions  .  .  .  .	  6-7
           coo    Acciimn-Hnnc in Rereivina Water Analysis	b-lb

                                                               ....  6-16
       6.2.2.   Assumptions in Receiving Water Analysi


       CALCULATIONS
       6.3.1.
       632
                    Tier 1
                    Tier 2/3
                    Setting National  Criteria,  Surface  Runoff
                    Algorithms
     6.4.    INPUT  PARAMETER  REQUIREMENTS
            6.4.1.    Loading  Algorithms	
            6.4.2.    Data  Inputs  for Receiving  Water Analysis,
                                                                    6-31


                                                                    6-34


                                                                    6-34
                                                                    6-49
     6.5.    HEALTH  AND  ENVIRONMENTAL EFFECTS 	   6-50

            6.5.1.    Aquatic Life Protection .	|>-50
            6.5.2.    Wildlife Protection 	   &-5"
            6.5.3.    Human Health Effects	6-51

     6.6.    EXAMPLE CALCULATIONS 	   6~70

            6.6.1.    Site-Specific Application  	   6~70
     CRITERIA CALCULATION METHODS FOR THE GROUNDWATER EXPOSURE
     PATHWAY 	
                                                                    7-1
     7.1.   OVERVIEW OF THE METHOD 	
     7.2.   ASSUMPTIONS	
     7.3.   CALCULATIONS	  '~b
                                                                    7-1
                                                                    7-6

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                          TABLE OF CONTENTS (cont.)
                                                                        Page

            7.3.1.   Source Term	7_6
            7.3.2.   Unsaturated Zone Transport	'.'.'.'.'.  7-17
            7.3.3.   Saturated Zone Transport	'      7-17
            7.3.4.   Setting National Criteria	•'.'.'.'.  7-17

     7.4.   INPUT PARAMETER REQUIREMENTS 	  7-2Q

            7.4.1.   Fate and Transport: Pathway Data	7-20

     7.5.   EXAMPLE CALCULATIONS 	  7_20

            7.5.1.   Site-Specific  Application 	  7-20
            7.5.2.   National  Criteria Site-Specific Application .  .'  .'  7-30

 8.   CRITERIA  CALCULATION METHODS FOR THE VAPORIZATION  EXPOSURE
     PATHWAY .  .  . .	           g_1

     8.1.   OVERVIEW  OF  THE METHOD	                           8_i
     8.2.   ASSUMPTIONS	.".*."!.'!!!.'.*  .8-4

            8.2.1.    Vapor Pressure	                   8_4
            8.2.2.    Loss  Rate	.'.'*''*   8-4
            8.2.3.    Atmospheric  Transport	'.'.'.'.'.'.'.'.'.   8-6

     8.3.    CALCULATIONS	8_7

            8.3.1.    Tier  1	                               a_7
            8.3.2.    Tier  2	'.'.'.'.'.	8-9
            8.3.3.    Tier  3	........   8-13
            8.3.4.    Setting National  Criteria  ............   8-13

     8.4.    INPUT  PARAMETER REQUIREMENTS  	   8-17

            8.4.1.    Fate and Transport:  Pathway Data	8-17
            8.4.2.    Fate and Transport:  Chemical-Specific Data. '. '.  '   8-17
            8.4.3.    Health Effects Data  	   8_18

     8.5.    EXAMPLE CALCULATIONS	. .  .   8_30

           8.5.1.   Site-Specific Application  	          8_30
           8.5.2.   National Criteria	\ \  \  8_35

9.  REFERENCES	  9-1

    APPENDICES
    APPENDIX
    APPENDIX
    APPENDIX

    APPENDIX

    APPENDIX
   Reanalysis of the FDA Revised Total Diet Food List
   Parameter Guidance for USLE Parameters
   Rainfall Depths for the 5-Year Recurrence Interval for
   Storm Durations of 30 Minutes to 24 Hours
   Procedure for Incorporating Site-Specific Considerations
   in Receiving Water Analyses
5: Distribution Coefficients
4
                                    ix

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                              LIST OF TABLES


No.                                Title                               Page

2-1     Distribution of Sludges Between Disposal/Reuse Alternatives .  2-2

3-1     Exposure Pathways Applicable to Current (C) or Future (F)
        Land Use	3~3

4-1     Assumptions for Terrestrial Food Chain	4-2

4-2     Average Daily Dry-Weight Consumption of Food Groups, Based
        on a Reanalysis of the FDA Revised Total Diet Food List  .  . .  4-26

4-3     Distribution of Daily Consumption of Six Food Groups
        from a Survey Using 24-Hour Recall	4-28

4-4     Food Consumption of Lacto-Ovo-Vegetarians and Average
        25- to 30-Year-Old Males	4-30

4-5     Illustrative Categorization of Carcinogenic Evidence
        Based on Animal and Human Data	4-38

4-6     Assumptions for Sludge-Soil-Plant-Human Toxicity
        Exposure Pathway	4-42

4-7     Summary of Criteria Derivation Procedure Based on
        Curvilinear Uptake Response Model and Relative Uptake
        Response Values 	  4-44

4-8     Relationship Between the Experimental Basis for Reference
        Sludge Concentration (RSC) and Rules Governing Use of
        Sludges Meeting RSC	4-51

4-9     Summary of Criteria Derivation Procedure Based on Linear
        Uptake Response Model and Relative Uptake  Response Values  .  .  4-54

4-10    Experimental Basis for the Reference Application Rate of
        Pollutant  (RP) and Situations  Where RP  Applies	4-58

4-11    Summary of Criteria Derivation Procedure Based on Linear
        Uptake Response Model Without  Using Relative  Uptake
        Response Values  	  4-60

4-12    Choice of  Input Parameter Values  for Sludge-Soil-Plant-
        Human Toxicity Pathway, As Affected by  Exposure Scenario.  .  .  4-65

4-13    Human Population, Sludge Production, Cropland  and Cropland
        Required Annually for the Application of Sewage Sludge  in
        Illinois,  New Jersey and the United States  in  1970,  and
        Projected  Values for 1985	4-66

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LIST OF TABLES (cont.)
No.
4-14
4-15
4-16

4-17
4-18


4-19

5-1

6-1
6-2
6-3
6-4
6-5
6-6

6-7

6-8
6-9
7-1
7-2
7-3
Title
Annual Consumption Homegrown Foods. . .
Assumptions for Sludge-Human Toxicity (Soil Ingestion)
Exposure Pathway 	
Various Estimates of Daily Soil Ingestion in Children
of Ages 1-3 	
Assumptions for Pathways Dealing with Herbivorous Animals . .
Exposure Pathways for Herbivorous Animals for Human
Consumption: Effect of Management Practice on Various
Parameters 	
Assumptions for Sludge-Soil-Soil Biota-Predator Toxicity
Exposure Pathway 	
Particulate Exposure to Cadmium from Land Application of
Dewatered Sewage Sludge . . 	
Surface Runoff Methodology Assumptions 	 	
Input Parameters for the Runoff Pathway Methodology 	
Runoff Curve Numbers for Hydrologic Soil-Cover Complexes
(for Antecedent Rainfall Condition II) 	
Antecedent Rainfall Conditions and Curve Numbers
Daily Intakes of Drinking Water by Adults 	
Water Ingestion and Body Weight by Age-Sex Group in the
United States 	
U.S. Annual Per Capita Consumption of Commercial Fish
and Shellfish, 1960-1984 	
Fish Consumption by Demographic Variables . . .
Input Parameters for the Example Calculations ....
Assumptions for the Groundwater Pathway Methodology 	
Water Content of Sludges from Various Treatment Processes . .
Input Parameters for Example Calculations — Groundwater. . .
Page
4-69
4-73

4-76
4-79


4-80

4-91

5-5
6-8
6-35
6-40
6-43
6-54

6-55

6-64
6-67
6-72
7-7
7-16
7-21
        xi

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                          LIST OF TABLES (cont.)
No.

8-1

8-2

8-3





8-4



8-5
                                   Title
                                                               Page
Assumptions for the Vapor Pathway Methodology 	  8-5

Parameters Used To Calculate az	8~14

Dally Respiratory Volumes for "Reference" Individuals
(Normal Individuals at Typical Activity Levels) and for
Adults with Higher-than-Normal Respiratory Volume or
Higher-than-Normal Activity Levels	8-21

Illustrative Categorization of Carcinogenic Evidence
Based on Animal and Human Data	8~28
Input Parameters for Example Calculations: Vapor Loss
8-31
                                     xll

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                               LIST OF  FIGURES
 No.

 1-1

 4-1
 4-2
 4-3
 6-1

 6-2a

 6-2b

 6-3
 6-4

 6-5
 6-6
 6-7

 7-1

8-1
                            Title
                                                                Page
 Relationship of Risk Assessment Methodology to Other
 Components  of Regulation Development for Sewage Sludge
 Reuse/Disposal  Options	   1-4
 Curvilinear Uptake  of Sludge-borne  Metal  by Crops  ......   4-13
 First-Year  vs.  Multi-Year Observations	4-15
 Limitation  by Phytotoxicity  of  Linear Uptake Response  ....   4-19
 Schematic of  Surface Runoff  and  Erosion  from a  Sludge
 Land Application Area As  Addressed  by the  Methodology  ....   6-2
 Flow Chart  for  Estimating Long-Term Average Concentrations
 As Addressed  by the  Methodology	6-3
 Flow Chart  for  Estimating Event  Mean  Concentrations As
 Addressed by  the Methodology	6_4
 Mineral Bulk  Density of Soils of Varying Textures  	   6-38
 Erosion Potential for Storms of  Various Durations  for
 Soils With Selected  Infiltration Properties  	   6-44
 Field Capacity Water Content for Soils of Various  Textures.  .   6-47
Wilting Point Water  Content for Soils of Various Textures .  .   6-48
Soil  Classification  Chart Developed by Bureau of Public
Roads	6-49
Logic Flow for Groundwater Pathway Evaluation of Sludges
Applied to Land	7_3
Logic Flow for Vapor Loss Pathway Evaluation of
Land-Applied Sludges	8-3

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                            LIST OF  ABBREVIATIONS
«2
Y*
At

At
e
0
ee
0fc
©wp
w
%OM
A
Aa
ac
ADI
AMC
AR
ARa
ARC
As
AWQC
b

B
Standard deviation of the vertical concentration distance (m)
Density of sludge liquid (kg/9.)
Elapsed time since the beginning of operation (cannot equal
zero)
Time period over which application is proposed (years)
Available water capacity of soil (dimensionless)
Available volumetric water capacity of the top cm of soil
Effective porosity
Field capacity of soil (dimensionless)
Wilting point of soil (dimensionless)
Average windspeed (m/sec)
Percent organic matter
Acres tilled/8-hour day
Sorbed contaminant mass in top centimeter (mg/ha-cm)
Acres
Acceptable daily intake (mg/kg bw/day)
Antecedent soil moisture condition
Sludge application rate (t DW/ha)
Annual sludge application rate (t DW/ha)
Cumulative sludge application rate (t DW/ha)
Sludge application rate (kg/ha-year)
Ambient water quality criteria
Slope of matric potential and moisture content plot
(dimensionless)
Bulk density of soil (g/cm*)
                                    xlv

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                         LIST OF  ABBREVIATIONS  (cont.)
 BB
 BC  .
 BCF
 BCFa
 BCFU
 BI
 BI

 Bm
 BS
 BS
 BU
 bw
 C
 c
 CAG
 cc
 Cd
 C1
 ci test
 C.E.C.
CN
Cus
 Background concentration In soil biota (pg/g DW)
 Background concentration in crop tissue (yg/g DW)
 Bioconcentration factor (8,/kg)
 Adjusted BCF (Si/kg)
 Unadjusted BCF (a/kg)
 Background intake of pollutant (rag/day)
 Background intake of pollutant from a given exposure route
 (mg/day)
 Mineral  bulk density (g/cm3)
 Bulk  density saturated  zone
 Background soil  concentration  of pollutant (yg/g DW)
 Bulk  density unsaturated  zone
 body  weight  (kg)
 Concentration  of  contaminant in  sludge/soil  mixture  (mg/kg)
 "Cover management"  factor  (dimensionless)
 Carcinogen Assessment Group
 Compliance point  concentration (mg/ma)
 Cadmium
 Concentration  of  contaminant in water  (mg/S.)
 Receiving water criteria determined from test case (mg/S.)
 Cation exchange capacity
 Contaminant concentration in the liquid (mg/S.)
 Concentration of  i in the solution (mole/ma)
SCS runoff curve number (dimensionless)
Contaminant concentration exiting the unsaturated zone (mg/9.)
                                     xv

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                        LIST OF  ABBREVIATIONS  (cont.)
Cv-j
C(X)1
d
D
Da
DA

DC
D&M
DR
ds
Dv
DW
e
£
EDA
EH
FA
FC
Fi
FL
foe
N
FS
Concentration of i in air (mass/volume)
Atmospheric concentration (g/m3)
Incorporation depth (cm)
Dispersion coefficient
Dissolved contaminant mass in top centimeter (mg/ha-cm)
Daily dietary consumption of animal tissue food group
(g DW/day)
Daily dietary consumption of crop food group (g DW/day)
Distribution and marketing
Total storm runoff depth (cm)
Distance to property boundary (m)
Drainage volume (ma/ma-yr)
Dry weight (dried at 105°C until a constant weight is reached)
Base of natural logarithms, 2.71828 (unitless)
Emission factor (kg/ha)
Exposure duration adjustment (unitless)
Emission rate (g/sec)
Fraction of animal tissue food group  (unitless)
Fraction of crop  food group (unitless)
Contaminant loading rate to the SMA (mg/ha-yr)
Fraction of diet  that is adhering  soil (g soil DW/g diet DW)
Organic carbon content  (of soil or sludge) (dimensionless)
Saturated  soil moisture content (mVm2)
Fraction of animal diet that is sludge (g soil DW/g diet DW)
                                     xv1

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                        LIST OF ABBREVIATIONS (cont.)
ha
HCB
Hi
hy
la
If
JP
IR
Is
 !D
k2
Hectare
Hexachlorobenzene
Henry's Law constant for i (atm-mVmol)
Depth to groundwater (m)
Air inhalation rate (m'/day)
Human consumption of fish (kg/day)
Acceptable chronic pollutant intake rate (mg/day)
Irrigation (mVm2-yr)
Soil ingest ion rate (g DW/day)
Total water ingestion rate (8,/day)
Rate constant for contaminant: loss from soil (years-1)
Particle size multiplier (dimensionless)
"Erodibility factor" (metric tons /acre-year-unit 'R')
Lumped zero-order loss rate constant (mg/ha-year)
Lumped first-order loss rate constant (yr-i)
First-order loss rate coefficient for degradation (yr-i)
First-order loss rate coefficient for surface runoff losses
^ow
First-order loss rate coefficient for infiltration (yr-1)
FT - k0 (mg/ha-year)
Soil-water partition coefficient (cmVg)
Organic carbon distribution coefficient for the contaminant
(l/kg)
Octanol-water partition coefficient
                                    xvli

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          LIST OF ABBREVIATIONS (cont.)
ksat
L
LC(j
 e
L0
LOV
LS
M
Ma
Mc

MEI
Mg
MGD
MI event
Mm
MO
MS
mt
Saturated soil hydraulic conductivity (m/yr)
Initial moisture content of sludge (kg/kg)
Length of buffer strip (m)
Soil concentration (yg/S. DW)
Lipid content of dietary seafood (kg/kg)
Lipid content of experimental organism (kg/kg)
Average annual erosional loss delivered to stream (kg/year)
Average annual erosional loss of contaminant from SMA (kg/year)
Lacto-ovo-vegetarian
"Topographic or slope/length" factor (dimensionless)
Total mass
Total available mass of contaminant
Long-term average contamination level in sludge management
area (mg/ha)
Most-exposed individual
Megagram = 1 metric ton (10s g)
Million gallons/day
Mass of contaminant lost to surface water (mg/year for
long-term case, mg for event case)
Total event loading (mg)
Maximum contaminant mass per area of soil in the SMA (mg/ha)
Original mass loading of contaminant (mg/ha)
2x103 t/ha = assumed mass of soil in upper 15 cm
metric tons
Total snowmelt depth (cm)
                      XV111

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                        LIST OF ABBREVIATIONS  (cont.)
 MUSLE
 N
 N
 MI
 NI  criteria
 Ni  test
 NREL
 OHEA
 OS
 P
 P
 P
 P.
 Pa
 PB-PK
 PCB
 PFRP
 Pi
 PI
 POTW
Pqt
 Modified USLE
 Nitrogen
 Dry weight concentration of contaminant in sludge
 Contaminant concentration in sludge (mg/kg)
 Sludge concentration criteria (mg/kg)
 Sludge concentration in test case (mg/kg)
 NIOSH-recommended  exposure limit
 Office of  Health and Environmental  Assessment
 OSHA standard
 Phosphorus
 Plateau  value  (yg/g  DW)
 "Supporting  practice"  factor (dimensionless)
 Precipitation  (ma/ma-yr)
 Total  contaminant mass  in  top centimeter (mg/ha-cm)
 Physiologically based  pharmacokinetic
 Polychlorinated biphenyl
 Process to further reduce  pathogens
 Partial pressure of  i above the  solution (atm)
 Plateau increment value (ng/g DW)
 Publicly owned treatment works
 Dissolved contaminant loss from SMA (mg/ha)
 Dissolved contaminant loss from buffer strip (mg/ha)
Mass of dissolved contaminant from buffer strip (mg)
                                    x1x

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                       LIST OF ABBREVIATIONS (cont.)
Pt
Pt
Pxt
Pxt'
Pxt"
Q
Qf
qp
Qv
r'
R
R
Ra
RAC
RC
RC
Rd
RE
RfD
RF
RFC
RIA
RL
Maximum contaminant level (mg/ha)
Total pressure in the system (atm)
Sorbed contaminant loss from SMA (mg/ha)
Sorbed contaminant loss from buffer strip (mg/ha)
Mass of sorbed contaminant loss from buffer strip (mg)
Volume of runoff (ma)
Volumetric flow rate (mVsec)
Human cancer potency [(mg/kg/day)"1]
Mass flux input to the unsaturated zone
Peak runoff rate (ma/sec)
Contaminant flux rate due to volatilization (g/ma-sec)
Distance from center of source to receptor (m)
"Erosivity" factor (year -i)
Recharge (m3/m2-yr)
Average annual precipitation (cm/yr)
Reference air concentration (mg/m3)
Recharge rate (m/yr)
Reference starting aquifer concentration (mg/S,)
Retardation factor (dimensionless)
Relative effectiveness of exposure (unitless)
Reference dose (mg/kg/day)
Acceptable mass flux of contaminant (mg/m^-year)
Reference feed concentration (pg/g DW)
Adjusted reference intake (yg/day)
Risk level (unitless)
                                     xx

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                        LIST OF ABBREVIATIONS (cont.)
RLC
RMCL
RO
Rp
RP
RPa
RPC
RPM

RPS
RQ
RSC
Rt
RTI
RU
RWC
RX
s
S
S
S
SC
 Reference soil concentration of pollutant  (yg/g  DW)
 Recommended Maximum Contaminant Level
 Runoff  (mVmz-yr)
 Annual  application rate of pollutant  in sludge (mg/m2-yr)
 Reference application rate of pollutant (kg/ha)
 Reference annual application rate of  pollutant (kg/ha)
 Reference cumulative application rate of pollutant (kg/ha)
 Maximum pollutant application rate based on phytotoxicity
 (kg/ha)
 Reference single-application rate of  pollutant, with no
 waiting period (kg/ha)
 Reference single-application rate of  pollutant, followed by
 waiting period or land-use conversion period (kg/ha)
 Reference flux rate due to volatilization  (g/m2-sec)
 Reference sludge concentration (yg/g  DW)
 Total storm rainfall depth (cm)
 Reference tissue concentration increment (yg/g DW)
 Relative uptake response (unitless)
 Reference water concentration (mg/fi.)
 Reference starting leachate concentration  (mg/8.)
 Silt content of soil (%)
Water retention parameter (cm)
 Storage capacity of sludge (kg/kg)
 Solids content of the sludge (kg/kg)
 Sludge concentration (ug/g DW)
Sediment delivery ratio (dimensionless)
                                     xx1

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                        LIST OF ABBREVIATIONS (cont.)
SL
SMA
SRR
SRR
SW
t
t
T
TA
TBI
TC
TCLP
TKN
TL
TP
Tr
TT
Tu
UA
UB
UC

USLE
Site length
Sludge management area (ha)
Source receptor ratio
Source-receptor ratio (sec/m)
Site width
Metric ton
Time (years)
Waiting or land-use conversion period (years)
Threshold feed concentration (yg/g DW)
Total background intake (mg/day)
Tissue concentration (tig/g DW)
Toxicity Characteristic Leachate Procedure
Highest tissue concentration increment (yg/g DW)
Total Kjeldahl nitrogen
Plant tissue concentration limit (yg/g DW)
Threshold phytotoxic application rate of the pollutant (kg/ha)
Storm duration (hours)
Total travel time across all layers of unsaturated zone  (years)
Steady-state travel time across an unsaturated  zone  soil  layer
(years)
Uptake slope of pollutant  in animal tissue  [v»g/g(vg/g)-i]
Uptake response slope in soil biota [vg/g(kg/ha)-i]
Uptake response slope of pollutant in crops
  [yg/g(kg/ha)-i] or [vg/gdig/g)-*]
Universal Soil Loss Equation
                                     xxli

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 V
 vave
 W
 US
 X
 X
V1
          LIST OF ABBREVIATIONS (cont.)

 Volume  of receiving water  (mVyear  for  long-term case,
 ma  for  event  case)
 Vertical term for transport  (dimensionless)
 Average velocity across the  unsaturated zone  (m/year)
 Width of the  buffer zone (cm)
 Water content of sludge (kg/kg)
 Leachate concentration (mg/cma)
 Leachate concentration of contaminants (mg/S.)
 Sediment loss rate for long-term case (mt/ha-year)
 Length or width of source (m)
 Sediment loss rate for event case (mt)
 Lateral  virtual  distance (m)
Mole fraction of i  in  the gas phase (dimensionless)
Density  of  the sludge  liquid (kg/a)
                                   XX111;

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       1.   INTRODUCTION AND  DESCRIPTION  OF  GENERAL  METHODOLOGIC APPROACH
 1.1.   PURPOSE AND SCOPE
     This  is   one  of  a  series  of   reports  that  present  methodologies  for
 assessing the  potential  risks to  humans  or other organisms  from management
 practices  for  the  disposal   or  reuse  of  municipal  sewage  sludge.    The
 management  practices  addressed   by this  series  include  land  application
 practices, distribution  and  marketing programs,  landfilling,   incineration
 and  ocean  disposal.   In  particular,  these  reports  deal  with  methods  for
 evaluating potential  health  and environmental  risks from  toxic  chemicals
 that may be present  in  sludge.   This document  addresses  risks from chemicals
 associated with land  application  and  distribution  and  marketing  of sludge.
     These proposed  risk  assessment procedures   are  designed  as  tools to
 assist in  the development  of  regulations for sludge management  practices.
 The  procedures are structured to allow calculation of technical criteria  for
 sludge disposal/reuse options  based  on the potential  for  adverse health or
 environmental  impacts.   The criteria may  address  management practices (such
 as site  design or process control specifications), limits on sludge disposal
 rates  or  limits on toxic chemical concentrations in the sludge.
     The   methods  for  criteria  derivation  presented  in  this   report  are
 intended  to  be used  by  the U.S.  EPA Office of Water Regulations and Stan-
 dards  (OWRS)  to develop  technical  criteria for  toxic chemicals  in sludge.
 The  present  document  focuses   primarily on methods  for the  development of
 nationally  applicable criteria  by   OWRS.    It  is suggested  that a  user-
 oriented  manual  based   on   these  methods   be   developed  for  wider  use  in
 deriving  site-specific   criteria  for  these  sludge   management  practices.
 Additional uses  for the methodology  may exist, such  as  developing guidance
 for  the   selection  of sludge  management options  by  local  authorities,  but
these uses are not the focus of these documents  and will  not be discussed.

                                     1-1

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    These documents do not  address  health risks resulting  from  the  presence
of  pathogenic  organisms  in sludge.   The U.S.  EPA will examine  pathogenic
risks  in a  separate  risk  assessment  effort.  These  documents  also do  not
address  potential  risks  associated with  the treatment,  handling  or storage
of  sludge;  transportation to  the  point of reuse or  disposal;  or  accidental
release.
1.2.   DEFINITION AND COMPONENTS OF RISK ASSESSMENT
    The  National  Research  Council  (NRC,  1983)  defines risk  assessment  as
"the  characterization  of  the potential  adverse  health  effects  of  human
exposures to  environmental  hazards."   In this document, the NRC's definition
is  expanded  to include effects of  exposures  of  other organisms as well.  By
contrast, risk management is defined as  "the  process of evaluating alterna-
tive  regulatory actions  and  selecting among  them" through consideration of
costs, available technology and other nonrisk factors.
    The  NRC  further  defines  four components  of  risk  assessment.  Hazard
identification is  defined as  "the  process of determining whether  exposure to
an  agent can  cause an  increase  in the  incidence  of  a health condition."
Dose-response  assessment  is  "the process   of  characterizing  the relation
between  the dose  of  an agent ...  and  the  incidence  of (the) adverse health
effect 	"   Exposure assessment  is "the process  of measuring  or estimating
the intensity, frequency and  duration  of ...  exposures  to  an agent  currently
present or of estimating hypothetical  exposures  that might arise  	"  Risk
characterization  is  "performed  by combining  the  exposure  and  dose-response
assessments"  to estimate the  likelihood  of  an effect (NRC,  1983).  The U.S.
 EPA has broadened  the definitions  of  hazard  identification and  dose-response
 assessment   to include  the  nature  and  severity  of  the  toxic  effect   in
 addition to the incidence.
                                      1-2

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     Figure 1-1 shows how  these components are Included in the development of
 these  risk  assessment methodologies  for  sludge  management  practices.   The
 figure further shows  how each  methodology may be used to  develop  technical
 criteria, and  how  these  criteria  could  be  used or  modified  by  the  risk
 manager to develop regulations  and permits;
 1.3.    RISK  ASSESSMENT  IN  THE METHODOLOGY DEVELOPMENT PROCESS
    As illustrated in Figure 1-1,  the methodology development process  begins
 by defining  the   management  practice.    Even  within a given  reuse/disposal
 option,   "real  world"  practices  are  highly  variable,  and  so  a  tractable
 definition must  be given  as  a starting  point.   As  a  general  rule,  this
 definition should include  the types of practices  most  frequently  used.   That
 is,  the  definition  should not  be  limited  to  ideal engineering practice  but
 also  need not include practices judged to  be  poor or substandard  (unless  the
 latter are  widespread).   This  definition, presented  in  Chapter 2 of this
 document,  helps to determine the  limits  of applicability  of the methodology
 and the  exposure  pathways  that  may be of concern.  However, as also shown in
 Figure  1-1  and   as discussed   in  Section  1.4.,   this  definition  could  be
 modified  as  the  methodology  is applied,   since  the methodology  itself will
 help to define acceptable practice.
 1.3.1.    Exposure  Assessment.   The exposure assessment  step  begins  with the
 identification  of  pathways  of  potential   exposure.  Exposure pathways  are
migration  routes  of  chemicals from (or within) the disposal/reuse site to a
target organism.   For those  pathways  where humans are the target of  concern,
special  consideration  is   given  to  individual   attributes  that  influence
exposure  potential.   Individuals   will   differ widely in  consumption  and
contact  patterns   relative to contaminated media  and,  therefore, will  also
vary widely in their degree of exposure.
                                     1-3

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                                                                i
                                                                
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HI


LU

(3
CO

£
                                                                                           e
                                                                                           u
                              UJ
2
                                         1-5

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    An ideal way  to  assess  human exposure is to  define  the full  spectrum of
potential levels  of  exposure and  the number of  individuals at  each  level,
thus  quantifying   the  exposure  distribution profile  for  a given  exposure
pathway.  The  methodologies described in  these reports will not  attempt to
define  exposure  distributions   in  most  cases,  for  the following  reasons.
First, it is  very difficult to estimate  the total distribution  of exposures,
since  to do   so   requires  knowledge of  the distributions of  each of  the
numerous  parameters  involved in  the exposure  calculations and  requires  the
modeling  of actual  or hypothetical  population  distributions and  habits in
the  vicinity  of   disposal   sites.   Such  a  task  exceeds   the  scope of  the
present methodology development effort.
    Second, while knowledge of  the total exposure distribution may be useful
for  certain types of decision-making,  it  is  not necessarily  required  for
establishing  criteria  to  protect  human  health  and  the   environment.   If
criteria  are  set so  as to be  reasonably protective  of  all  individuals,
including those at greatest risk, then as long as the risk assessment proce-
dures  can reasonably estimate the risk to these  individuals, the quantifica-
tion of  lesser risks experienced by  other  individuals is not required.
    The  drawback, however,  of examining only a maximal-exposure situation is
that  the true  likelihood of such a  situation  occurring may be quite small.
The  compounding  of  worst-case  assumptions  may  lead to improbable results.
Therefore,  the key  to effective  use of  this  methodology  is  a  careful  and
systematic  examination of  the  effects  of  varying each  of the input param-
eters,  using  estimates of  central tendency  and upper-limit values  to gain an
appreciation  for  the variability of  the  result.
                                      1-6

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     Therefore, exposure will  be determined for a most-exposed individual, or
 MEI.*   The  definition  of  the  MEI  will  vary  with   each  human  exposure
 pathway.   Chapter  3 of this  document will  enumerate the  exposure  pathways
 and will  define the  MEI  in  qualitative  terms; for  example,  for the  "home
 garden" scenario, the  MEI  is  a person producing much of his or her own crops
 on sludge-amended soil.  The  MEI  will not be quantitatively defined  in this
 chapter,  but  relevant information  that  allows the  user to do  so (such  as
 available data on the  ranges  of crop consumption  rates) will  be provided in
 later   chapters.    For  exposure  pathways  concerning  organisms  other  than
 humans, the  term  "MEI"  is not applied,  but  conservative  assumptions  are
 still   made  regarding   the  degree   of  exposure.    The  remaining  chapters
 (Chapters  4-8  in this  document)  explain  the  calculation  methods  and  data
 requirements  for  conducting  the  risk  assessments for  each pathway.
 1.3.2.   Hazard  Identification  and   Dose-Response  Assessment.   To determine
 the  allowable  exposure level for a given contaminant, the hazard  identifica-
 tion  and  dose-response  assessment  steps  must  be  carried  out.    For human
 health  effects,  these  procedures already are  fairly  well established  in the
 Agency  (although they  still  require improvement,  and  specific  assessments
 for  many chemicals  remain  problematic).  Hazard  identification  in this case
 consists  first of all  of  determining  whether or  not  a chemical  should be
 treated  as  a  human  carcinogen.   Procedures for weighing evidence of carcino-
 genicity have  been  published in the Federal Register (1986a) and  are  further
*The definition  of  the MEI does  not  include workers exposed  in  the  produc-
 tion,  treatment, handling or  transportation of sludge.   This methodology is
 geared toward protection of the  general  public and the  environment    It is
 assumed that  workers  can be  required  to use special measures or  equipment
 to  minimize  their exposure  to  sludge-borne  contaminants.  Agricultural
 workers,  however,  might  best  be  considered members of  the  general  public
 since  the  use of sludge may  not be integral  to their occupation
                                     1-7

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discussed in  later sections of this  document.   If a chemical is  treated  as
carcinogenic,  dose-response  assessment  would   then   include  the  use  of
Agency-accepted  potency   values.    If  none  are   available,   cancer   risk
estimation  procedures  published  by  the  Agency  (Federal  Register,  1986a)
would be used to determine potency.
    If   a   chemical   is   not   carcinogenic,   hazard    identification   and
dose-response  assessment   normally   consist   of  identifying  the  critical
systemic  effect,  which is  the  adverse effect occurring  at the  lowest  dose,
and  the  reference dose   (RfD),  which  is  "the  daily  exposure  ... that  is
likely  to  be without appreciable  risk  of  deleterious effects  during  a
lifetime"   (U.S.   EPA,   1987a).    Further  description  and  procedures  for
deriving  RfDs are published in U.S. EPA (1987a).
    For  certain  disposal  options,  effects on other organisms are of concern.
In  these cases, existing  Agency methodologies  have been used  where  avail-
able.   For example,  existing  guidelines for  deriving  ambient water quality
criteria   (AWQC)   (U.S.  EPA,   1984c)  are  used  to  determine  levels  for
protecting   aquatic   life.   Where  effects  on  terrestrial   species  are  of
concern,  there are no existing Agency  guidelines,  but suggested procedures
for identifying  adverse effects (hazard  identification)  and  threshold levels
(dose-response assessment)  are provided.
1.3.3.    Risk Characterization.   Risk characterization  consists  of combin-
ing the exposure and  dose-response assessment procedures to  derive criteria.
Risk  assessments  ordinarily proceed  from source  to receptor.  That is, the
source,  or  disposal/reuse  practice,  is  first  characterized   and  contaminant
movement away  from  the  source is  then modeled  to estimate  the degree of
exposure to the  receptor, or MEI.   Health  effects  for   humans  or  other
organisms are then predicted based on the  estimated exposure.  The calcula-
tion  of  criteria, however, involves  a reversal  of this process.   That  is, an

                                      1-8

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 allowable exposure,  or  an  exposure  that is  not  necessarily allowable  but
 corresponds  to  a given  level  of risk,  is  defined  based  on health  effects
 data,   as specified  above.   Based   on  this  exposure  level,  the  transport
 calculations   are either  operated  in reverse  or performed  iteratively  to
 determine the corresponding source  definition.   In this case, the  resulting
 source  definition   is   a  combination of  management  practices   and   sludge
 characteristics,  which  together constitute  the criteria.   These steps  are
 carried out  on a chemical-by-chemical basis, and criteria  values  are  derived
 for  each chemical assessed and  each  exposure pathway.   An  example illustrat-
 ing  how  these  calculations  may be carried out  is  provided in this document
 for  each pathway assessed.   However,  as  indicated  by Figure 1-1, the  compi-
 lation  of data on specific chemicals  to be used as inputs  to the  methodology
 is a process  separate from methodology development.  Health effects data  for
 individual chemicals  must be  collected  from the  scientific literature.  In
 many cases,  the  U.S.  EPA has  already published approved  values  for cancer
 potency  or RfD.  Data  pertinent to  a chemical's fate  and  transport charac-
 teristics,  such  as   solubility,   partition   coefficient,  bioconcentration
 factor  or environmental  half-life,  must  also  be  selected  from  the litera-
 ture.   In some  cases,  data for particular health  or  fate  parameters were
 gathered  for a  variety  of chemicals  in the process  of developing  the method-
 ology.  Where  this was  done,  the information may appear as an appendix.  In
most  cases,  however,  such  information  does  not appear in  the  methodology
document and  must be  gathered as a separate effort.
    Once these data have  been  selected,  even  on a  preliminary  basis,  it may
be useful  to carry out a rough  screening exercise,  using these data  plus
information on occurrence in sludges,  to  -set  priorities for  risk  character-
ization.   Screening  could  reveal  that certain pollutants  are unlikely  to
                                     1-9

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pose any  risk,  or that  data  gaps  exist that preclude more  detailed  charac-
terization  of  risk.   Methods for  carrying out  such a  screening  procedure
will not be discussed in this document.
    Following  chemical-specific  data  selection,   risk  characterization  or
criteria  derivation  may  be  conducted.   The  values derived  as  limits  on
sludge concentration  or  disposal  rate, together with the management practice
definitions, will  constitute the  criteria.   When  calculating  the numerical
limits,  it  is  advisable  to  vary  each of  the  input  values used over its
typical or plausible  range to determine the sensitivity of the result to the
value  selected.   Sensitivity  analysis helps to give  a  more  complete  picture
of the potential variability  surrounding the result.
1.4.   POTENTIAL USES OF THE  METHODOLOGY IN RISK MANAGEMENT
    The results  of the risk  characterization step  can then be used as inputs
for  the   risk  management  process,  as shown  in  Part  II   of   Figure  1-1.
Although  this  document  does  not specify how  risk  management should  be con-
ducted,  some  potential  uses  of   the  methodology  in  the   risk  management
process  are  briefly  described  here.   These  optional  steps  are  shown  as
dashed lines in  Figure  1-1.
    As  suggested  by  the  National  Research  Council  (NRC,  1983),   a  risk
manager  may evalute  the  feasibility  of  a set  of criteria  values based on
consideration  of costs, available  technology  and other nonrisk  factors.  If
 it  is   felt   that   certain  chemical  concentrations   specified  by  the
calculations would  be  too  difficult  or  costly to  achieve, the  management
practice  definition could be modified by  imposing controls  or  restrictions.
 For example, requirement  of subsurface injection  or waiting periods  before
 grazing   is  permitted  on   sludge-applied   lands   could  result  in  higher
 permissible  concentrations   for   some  pollutants.   The   same   degree  of
 protection would still  be achieved.

                                      1-10

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      Following  promulgation  of  the  criteria,   it  may  also be  possible to
  evaluate  sludge  reuse or disposal  practices  on  a site-specific basis, using
  locally  applicable data to  rerun  the criteria  calculations.  Criteria could
  then  be  varied  to reflect local conditions.  Thus,  the risk manager can use
  the methodology as a tool to develop and fine-tune the criteria.
  1.5.   LIMITATIONS OF THE METHODOLOGY
     Limitations of the  calculation methods for each pathway are given in the
 text  and  in tabular  form  in  the  chapters  where  calculation methods  are
 presented.   However,  certain limitations  common  to all  of the methods  are
 stated here.
     Municipal  sludges   are   highly  variable  mixtures  of   residuals   and
 by-products  of   the   wastewater treatment  process.   Chemical  interactions
 could affect the  fate,  transport and toxicity of individual components,  and
 risk  from  the  whole  mixture may  be  greater  than that of any  single  compo-
 nent.   At present, these methodologies  treat  each chemical  as  though  it acts
 in  isolation from all the others.  It  should  be noted  that  EPA's mixture
 risk  assessment  guidelines  (Federal  Register,  1986b)  caution  that a great
 deal  of dose-response  information  is  required before  a risk assessment may
 be  quantitatively modified  to  account  for  toxic   interactions.   Future
 revisions  to these documents  to include consideration of interactions will
 most likely be limited to qualitative discussion of such interactions.
    Transformation  of  chemicals occurring  during  the disposal  (including
 combustion)   practice  or  following  release   may  result  in  exposure  to
 chemicals  other  than  those originally found  in  the sludge.   In many cases
these assessment procedures may  not adequately characterize  risks from these
transformation products.
                                     1-11

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    In  addition,  these  methodologies  compartmentalize  risks  according  to
separate exposure pathways.   The  use  of an  MEI  approach, which  focuses  on
the most highly exposed  individuals  for each pathway, reduces the likelihood
that  any single  individual  would simultaneously  receive such exposures  by
more  than  one pathway, and  therefore  the addition of doses  or  risks  across
pathways  is  not  usually  recommended.   However,   it  is  possible that  risk
could be underestimated in a small number of instances.
    Finally,  the  methodologies  look  at  exposed organisms  in  isolation.
Population-level  or  ecosystem-level  effects  that  could  result  from a reuse
or disposal practice might not be predictable by this approach.
                                      1-12

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                    2.  DEFINITION OF MANAGEMENT PRACTICES
 2.1.   INTRODUCTION
     Municipal  sludge production  was  estimated at  6.84 million  metric tons
 dry weight*  (t DM)  in  1982.   By  the year  2000,  production  is  expected to
 nearly  double  (12  million  t DW/year).   A  survey  of  6.5% of  the  U.S.
 treatment  plants  in  1982  revealed  the  distribution  between  disposal/reuse
 options  presented  in  Table  2-1.   Land  application  and distribution  and
 marketing (D&M) practices accounted  for  2.87 t DW,  or 42% of the  total (Booz
 Allen  and  Hamilton,  1982;  U.S.  EPA,  1983b).   If  the  relevant distribution
 among  alternatives remains  constant,  it  would be  expected  that 5.0 million t
 DW of  municipal  sludge will  be applied  to land annually in  the  year 2000.
     This  chapter will briefly  define  the many practices included within  the
 land application and D&M management options.   A detailed  description  of  the
 process  design  for  each of  these  practices  will  not  be  given  here;  addi-
 tional  information may be found in U.S.  EPA  publications such  as the  Process
 Design  Manual  for Land Application of Municipal Sludge  (U.S. EPA, 1983b) and
 Composting  of Municipal  Wastewater  Sludges  (U.S.  EPA,  1985b).  The  defini-
 tions  given here will be limited to certain aspects that help  to outline the
 scope  for  the  risk  assessment  methods  that follow.   These  definitions
 include  stated  assumptions  or requirements  regarding the forms  that these
 practices may  take.   Some  of these assumptions or requirements allude to the
 potential  exposure pathways  from each  practice.   The pathways  themselves
will be more fully discussed in Chapter 3.
 m^n 9HH.H  »t M?™™*"?-',  the  tm   dry Weight"  should  be Considered  to
 mean dried  at 105'C  until  a constant  weight is  obtained.   Analysis of  a
 K?JU  h C1°"taminant maV  be done  on a wet weight  or  as  is basis,  but  the
 results should be expressed  on a  dry weight basis.
                                     2-1

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                                 TABLE 2-1

       Distribution  of Sludges  Between  Disposal/Reuse Alternatives^
         Alternative
Million Dry Metric Tons
     (10*t DW)
                                                                      Percent
Incineration
Land application
Human food chain crops
Nonfood chain crops
Distribution and marketing
Landfilling
Ocean disposal
Other0
TOTAL
1.85
0.82
0.82
1.23
1.03
0.27
0.82
6.84
27
12
12
18
15
4
12
100
asource: Booz Allen and Hamilton, 1982; U.S.  EPA, 1983b

bBased  on  a  1982 random  survey  of  1011 treatment plants  (6.5% of  total
 number of plants)

cother  includes  lagoons  and  impoundments  that  constitute  storage  rather
 than disposal.   Ultimately,  these facilities will be closed  as landfills or
 the sludge will  be  exhumed and sent for disposal by one of the alternative
 means.  There  are no  data at  this  time from  which  one  can quantitatively
 ascertain  the  distribution  of  sludge  volumes  among the  ultimate  disposal
 alternatives.
                                     2-2

-------
  2.2.    LAND  APPLICATION  PRACTICES
      Land  application refers  to  the distribution of  sludge  on or just below
  the  soil  surface where it  is employed as a fertilizer or soil conditioner to
  grow  human food-chain and  non-food-chain  crops or to utilize the  land as a
  sludge  treatment  system.   Potentially  adverse environmental or  animal  and
  human  health effects can  be prevented  by  establishing  acceptable pollutant
  concentrations,  application  rates,   good   management  practices  (such  as
  physical barriers  or record-keeping requirements)  or, in certain cases, land
 deed  stipulations   to manage  conversion  to  uses  that  could have  greater
 potential   for  exposure.    Four  major designations  for land  application  are
 listed below:

      Agricultural utilization
      Forest land  utilization
      Drastically  disturbed  land utilization
      Dedicated  land disposal  site

 These  options are not mutually exclusive; there is  an overlap in several of
 their  characteristics.  However, for the purpose of  regulating  the  use of
 sludge  in  each option, it  is necessary  to  clearly  define  each practice and
 differentiate between  them.
 2.2.1.   Agricultural  Utilization.    Agricultural  use  of  sludge  includes
 sludge  application  to land  used  for a wide  range of crops including grains,
 animal  feeds  and  non-food-chain  crops.   The objective of this practice is to
 improve  the  soil-conditioning  properties   and  nutrient  status,   and  to
 increase crop production.    This practice  is  probably of most concern because
 it may  involve  incorporation  of  the pollutant  in the  human  food  chain.   The
following assumptions or requirements will be made regarding  this  practice.
                                     2-3

-------
 2.2.1.1.   ASSUMPTIONS —


1.  Human  food-chain  and  non-food-chain crops  are  expected  to  be
    grown where this practice is utilized.

2.  Work practices  that reduce  the  possibility of  offsite contami-
    nation,  such  as  washing  of  application  equipment,  will  be
    assumed.

3.  Agricultural  lands  have  a  potential   of  being  converted  to
    residential usage after sludge application to crops.


  2.2.1.2.   REQUIREMENTS OR POTENTIAL REQUIREMENTS —
1   Sludge  will  be  applied  at  no  greater  than  agronomic  rates,
    defined  as  annual  rate  at which nitrogen  (N)  or phosphorus (P)
    supplied  by  the  sludge  does  not  exceed  the  annual  N   or  P
    requirement  of  the  crop.    The  range  varies  from  2  to  35  t
    DW/hectare  (ha)  for  most sludges,   but  may be  as high as  70  t
    DW/ha  for some  composts.   (It should  be noted  that  P often is
    more limiting than  N.)

2   A  waiting  period  after  application  may  safely  allow  higher
    application  rates  of  sludge because  of  chemical  immobilization
    or degradation   of  constituents.   Therefore,  the  need  for  a
    waiting  period before planting crops  will  be evaluated, as will
    a  waiting period  before grazing of treated  pasture land.

3.  The  criteria  derivation  procedures  given  herein will evaluate
    the need for  differences  in  criteria based  on  soil pH.

4  The  criteria  derivation procedures  given  herein will evaluate
    the  need for criteria  based on varying certain  physical  charac-
    teristics  of  potential  sites.   These  characteristics  include
     slope,   depth  to  water  table,  permeability,  infiltration and
     proximity to  surface  water.

     All  publicly  owned treatment works  (POTWs) will  be  required  to
     analyze  the  chemical  composition of sludge using proper  quality
     assurance procedures.

     Records  on the  locations  and amounts  of sludge application  and a
     copy of  the  POTWs analysis of sludge composition  will be  main-
     tained by the POTW.

     Incorporation  of  sludge  into  the  soil  (either  by  injection  or
     tilling) is  required  before crops  are planted for human consump-
     tion.    The  criteria  derivation procedures   given  herein  will
     evaluate the  need for  requiring soil-incorporation before  other
     uses (such as use  for pasture or other crops).
5.
6.
7.
                                   2-4

-------
2.2.2.   Forest  Land Utilization.   Application  to  forest lands  decreases

the concern over  direct  entry of the pollutant into the human  food chain and

thus  has  an  advantage over agricultural utilization.   However,  forest  lands

may be converted  to  agricultural  or residential use,  so  protection of  these

lands for  their potential  future  use is generally accepted.   The following

assumptions and requirements will  be made regarding this practice.

    2.2.2.1.    ASSUMPTIONS —
    1
    3.
The  majority of  plants grown where  this practice  is  utilized
are  not  in  the human  food  chain.   The  only human  food  chain
crops,  for  example,  might be mushrooms  and wild  berries  con-
sumed by  humans  or plants consumed by wildlife, such as deer or
birds.

Sludge  may  be   applied  at  levels  higher  than  the  agronomic
rates.   It  has  been shown  that  forest  surface  litter  layers
have  a  comparatively high  storage capacity;  therefore,  higher
application  rates  than  those allowed on  agricultural  soils  may
be  applied  in  many  instances  without changing  the degree  of
protection  from nitrate  leaching to  sensitive  aquifers.   The
range may vary from 10 to 100 t DW/ha every 3-5 years.

Work  practices  that reduce the possibility  of  offsite  contami-
nation,   such  as  washing  of  application   equipment,  will   be
assumed.

Forest  application  of sludge will occur  at  different  stages  of
plant growth.  Therefore,  application  is  not limited by season,
except that application  on frozen land is  not permitted.

Forest  lands have  a  potential  of being  converted  to  agricul-
tural or  residential use  after  sludge  application.   However,
such  conversion  would  not  be  immediate;  an  elapsed  time  or
conversion period following sludge application may be assumed.
    2.2.2.2.    REQUIREMENTS OR  POTENTIAL REQUIREMENTS —
        Public  access is restricted by  signs  adjacent to public roads.
        The  signs prohibit  use  of the  area  or  its  products for human
        food consumption.

        The  public  will  be restricted  to a  given  distance  downwind
        during  spray  application.
                                    2-5

-------
    4.


    5.
The  criteria  derivation procedures  given herein will  evaluate
the  need  for criteria based on  varying  certain characteristics
of potential sites.   These  characteristics include slope, depth
to  water  table,  permeability,  infiltration  and proximity  to
surface water.

The  POTW  will  be  required  to analyze the chemical  composition
of sludge using proper quality assurance procedures.

Records on  the locations and amounts of  sludge application and
a  copy of  the POTW's  analysis of  sludge composition will  be
maintained by the POTW.
    6.  Sludge application on frozen land is not permitted.


2.2.3.   Drastically  Disturbed  Land  Utilization.   Sludge  application  to

drastically disturbed  lands  is  often  referred to  as land  reclamation.   In

this  practice,   barren  lands  are  treated  to improve  site aesthetics  and

utility through  regrowth  of  vegetation and  landscaping.  These  barren  lands

can be  a  result of mines, quarries  or sand and gravel pits.  They  may have

problems such  as acid  runoff,  high erosion  rates,  low  nutrient  levels and

high  toxic  levels of polutants.   All  these characteristics  can  be  improved

by  sludge  application if the  site  and sludge use are properly  managed.  In

these practices,  the  amounts of sludge applied can  be drastically different

than  those  applied  for  agricultural and forest use.  The following is a list

of assumptions and requirements that will be made for this practice.

    2.2.3.1.   ASSUMPTIONS —


    1.  Because  sludge  application  is  expected to  drastically  enhance
        or  to be a  substitute for topsoil, a much larger application of
        sludge may  be necessary to establish vegetation  and improve the
        physical  properties  of  the  surface  material.    It  is  often
        applied  to  disturbed land  in a one-time, large application,  but
        repeated applications may also occur.

    2.  Work  practices  that reduce  the  possibility  of  offsite contami-
        nation,  such  as  washing  of   application  equipment,  will  be
        assumed.
                                     2-6

-------
         Disturbed lands have a  potential  for being used as agricultural
         or residential lands following  reclamation with sludge.   Unless
         the  same  restrictions   that  protect  these  latter  uses   are
         applied  to  reclamation  practices, it  is  assumed  that the  land
         will   be   tested   and  evaluated   to  determine  its  suitability
         before it is used  for agriculture  or  residences.

         Land  conversion to its  intended use  would not be  immediate;  an
         elapsed  time  or  conversion period following sludge  application
         may be assumed.
     2.2.3.2.    REQUIREMENTS  OR  POTENTIAL  REQUIREMENTS —
    2,


    3.
The  criteria derivation  procedures  given herein  will  evaluate
the  need  for criteria based  on  varying certain characteristics
of potential  sites.   These characteristics include slope, depth
to  water  table,   permeability,  infiltration  and  proximity  to
surface water.

The  POTW  will be  required to analyze  the chemical composition
of sludge using proper quality assurance procedures.

Records on  the  locations and amounts of  sludge application and
a  copy of  the  POTW's  analysis  of  sludge composition will  be
maintained  by the POTW.

Public access is  restricted  by signs adjacent  to  public  roads.
The  signs  prohibit use  of the area  or its products  for human
consumption.
2.2.4.   Dedicated  Land  Disposal  Site.   The  primary purpose of  the  site is

long-term  disposal  of  sludge.   The  objective  is  to  employ  soil  as  a

treatment  system  by  allowing  soil  to  retain  the  metals  and   allowing

sunlight, microorganisms and  chemical  processes  to degrade organic  matter in

the  sludge.   The  following is a  list of  assumptions  and  requirements  for

this disposal practice.

    2.2.4.1.    ASSUMPTIONS  —
    1.   It is  assumed  that any  crops  produced on  "dedicated  land"  are
        unfit for human consumption  (or  for consumption  by animals  that
        will  be consumed by humans).   Crops produced  on  dedicated sites
        may  be  utilized for  human  consumption  or  for consumption  by
        animals  that  will  be   consumed   by  humans  only   if  their
        compositon  is  found to  be  acceptable.   Also,  feed  crops  for
        animals  not  consumed  by  humans   may be  grown  if
        analyzed  and  evaluated  before use.
                                                      crops
                                                       they
are
                                     2-7

-------
    2.  It  is  assumed  that these  sites  are  totally  controlled  by  a
        responsible governmental agency.


    2.2.4.2.   REQUIREMENTS OR POTENTIAL REQUIREMENTS —


    1.  Work practices  that reduce the  possibility  of  pffsite contami-
        nation,  such  as  washing  of  application   equipment,  will  be
        required.

    2.  Public access  is  restricted  by signs  and  fences  adjacent  to
        public  roads.    The signs  prohibit  use  of the  area  or  its
        products.

    3.  The  criteria  derivation procedures  given herein  will  evaluate
        the  need  for criteria based  on  varying  certain characteristics
        of potential sites.  These  characteristics  include slope,  depth
        to  water  table,  permeability,  infiltration and  proximity  to
        surface water.

    4.  The  POTW  will  be  required  to analyze the  chemical  composition
        of sludge using proper quality assurance procedures.

    5.  Records on  the  locations and  amounts of  sludge application  and
        a copy of  the  POTW's measurement of sludge  composition  will  be
        maintained by the POTW.

    6.  Future property  owners  are  notified  by a  stipulation in  the
        land record or property deed  that states that  the property  has
        received  solid  waste at high contaminant application  rates  and
        that  unless soil   analyses  show  an  absence of  hazard,  human
        food-chain  crops  should  not be  grown and young children should
        not be permitted  access  to  the  site because of possible health
        hazards.

    7.  It  is  assumed  that closure  and  hazard evaluation  procedures
        will be established  and  will  be required before sale  of a site
        or use for another purpose.


2.2.5.   Summary.   There  are differences  among  land uses and  sludge  appli-

cation practices.   The potential  changes in land use may  blur some of these

distinctions where  risk  assessments are concerned.   Forest,  agricultural  and

reclaimed  lands   can  potentially  become  agricultural   or  residential.  For

agricultural use,  sludge  application  is limited to  agronomic  rates,  whereas

for forest and reclamation  uses it typically is  higher.  A second  difference

is that  for forest use,  there will be  restricted  use  of  the  forest  and  its
                                     2-8

-------
products  for human  consumption,  and a  conversion period  Is  assumed before
agricultural  use  occurs.   Third, an  assumption for  forest  and reclamation
usages  is that  there  will be  a  conversion period  before agricultural use.
Conversion  periods before  residential  use are  also  assumed  for nonresiden-
tial  lands.  A  critical  difference between  forest, agricultural  and land
reclamation  use  vs. dedicated-land  disposal  is that  in  the  latter, conver-
sion  of land use  is not  assumed.   Therefore,  if a dedicated  site  is  to be
converted,  its suitability for the  intended use needs to be carefully evalu-
ated.   This  evaluation  is ensured by the  requirement  of  a warning statement
in the  land record or property deed.
2.3.    DISTRIBUTION AND MARKETING PRACTICES
    Distribution  and marketing  (D&M)   refers  to  the give-away  or  sale  of
sludge  or  sludge products either in bulk or bagged to the public, commercial
growers or  local  governments  for use as fertilizers or soil conditioners for
food- and  non-food-chain  vegetation.   Potentially adverse environmental  or
animal  and  human  health  effects can be  prevented  by  establishing acceptable
pollutant  concentrations,  application   rates   and   labeling  requirements.
Establishing and  monitoring of good management practices  or record-keeping
requirements by users are not feasible using this option.
    Usually, in  this practice  the sludge has  undergone some method  of treat-
ment  to either  dewater  or reduce the volume of sludge before  distribution.
Sludge  treatment  before  D&M varies  among  POTWs  and  may include, but is  not
limited, to the  following:
    Aerobic digestion
    Anaerobic digestion
    Heat drying/treatment
    Mechanical dewatering
    Composting
    Air drying
                                     2-9

-------
In addition,  humus material  or  nutrient additives  may be  blended  with the
sludge to increase its fertilizer or soil-conditioning value.
    Distribution and  marketing programs  currently  practiced by  POTWs range
from  simple  give-away programs,  in  which the local  citizen  picks  up sludge
that  has  been  stockpiled  at  the  treatment plant,  to detailed  marketing
programs, such  as  the distribution of a  bagged  product to retail and whole-
sale  outlets.   The various  end-uses associated with these programs  can  be
classified as shown below:
           Residential
            Gardens
            Lawns
            Landscaping
 Commercial
Nurseries
Turf farms
Golf courses
Other horticul-
 tural uses
Institutional
Parks and
 recreation areas
Cemeteries
Roadsides
School grounds
 and other public
 lands
The  end-use  and  demand for  sludge-derived  D&M  products  is based  upon  the
characteristics of the  sludge,  which include nutrient content (concentration
and  availability  of  nitrogen and  phosphorus) and  physical  nature (moisture
content and consistency).
    These  end-uses  of   D&M  sludge  products  determine  the  populations  and
environments initially  exposed  to  contaminants  that may  be present  in  the
product.  For  instance,  expected  human exposure to sludge-borne contaminants
would  be much  higher  for  sludge  applied  to home  gardens  than  for sludge
applied  to cemeteries or roadsides.  Sludge ingestion by  children by either
hand-to-mouth  play  or   pica  would  be  a  possibility   for   the  residential
settings, but  is  less likely for commercial  or  institutional applications.
                                     2-10

-------
 In  addition  to end-use of the D&M sludge product, however, future use of the

 land  to which the product has been  applied  is also important  in determining

 potential  risk.   Therefore,  the potential for land-use conversion must also

 be  considered.

    The  following assumptions are made for this option.

 2.3.1.   Assumptions.
    1.


    2.


    3.
Both  food-chain  and  non-food-chain crops  are grown  using D&M
sludge products.

Few,  if  any,  site  controls  or  record-keeping  requirements are
employed.

Animals consumed by  humans  are not expected to  forage on crops
grown  on  sludge-amended soil  in the residential,  commercial  or
institutional  D&M  end-uses.    Applications  to  parks or recrea-
tional areas where  hunting  is  permitted would  constitute forest
land utilization  rather than D&M.

All  lands  to  which  D&M sludge  products  are applied,   with  the
exception  of  roadsides,  are  considered  to have  the  potential
for  conversion   to  residential  use,   including   use  for  home
gardens.    In many  cases,  however,  such conversion would  not  be
immediate;   an  elapsed  time  or  conversion  period  following
sludge application  may be assumed.
2.3.2.   Requirements or Potential  Requirements.


    1.  A printed  handout  (in  the  case of  bulk  distribution)  and  a
        label  (for  bagged  products)  will provide information  on  essen-
        tial   plant  nutrient  content,  instructions  for  proper  use  on
        different plant  types  and  loading  rates  (such as  number  of
        square feet  per bag,  ratio  of  sludge  to  soil  in  sludge-soil
        mixture)  that should not  be exceeded.
                                    2-11

-------

-------
          3.   EXPOSURE  PATHWAYS AND MOST-EXPOSED INDIVIDUALS (MEIs)

    Humans or other organisms  may be exposed  to the  contaminants  in land-
applied sludge  by  a variety of pathways.  The relative importance of a given
pathway is influenced  by the type of  land  application  practice employed and
by  potential  future  uses  of  the  land  receiving sludge.   The definitions,
assumptions and  requirements  stated for  these practices in Chapter 2 will be
used  here to  identify  those  pathways that  may be of  concern for  a given
practice and those that can be eliminated a priori.
    If  a  particular exposure pathway  is  stated here to be  of  concern for a
given management  practice, this  means that the  assessment  methods  for that
pathway,  described  in  the  latter chapters of this  document,  should  be used
to  determine  whether  criteria will  be   required.   It  does  not  necessarily
mean that criteria will be needed.
    For each  exposure  pathway,  it is  important  to  identify the most-exposed
individual,  or  MEI.   Occupational  exposures  (other  than  of  agricultural
workers) are  not considered,  as discussed in Chapter 1.  While many individ-
uals of  the  general public may  be  exposed  to  a varying degree, the MEI is
that individual  who would  be  expected to experience the greatest  risk and,
therefore, requires the,  greatest  protection.   The MEI  is a hypothetical (not
actual)  individual,  but  care  should  be   taken  that the definition  be real-
istic.   The  definition depends on  many  of the  assumptions  and requirements
made concerning each management practice listed in  Chapter  2.   The  pathways
and MEIs will  be  described qualitatively in this  chapter  and quantitatively
in the following chapters where criteria  calculation methods are given.
                                     3-1

-------
    The upper portion  of  Table 3-1  summarizes the selection of pathways that
are  relevant  to each  land  application or  distribution  and marketing  (D&M)
practice, according to  either  current or future land use.   Some judgment was
required in making  these  selections,  since practice definitions may  vary or
overlap.   The  pathways selected  are  those  judged  to  have  a  reasonable
probability of becoming important for each management practice.
    The  resulting  matrix of  pathways and  practices is complex,  reflecting
the  complexity  of  sludge utilization practices and of the  environment.   To
provide  a   more manageable  framework  for  conducting risk  assessments,  a
reduced number  of  practice categories  is  suggested,  as  shown  in  the  lower
portion of  Table 3-1.  For example,  since all land application sites  other
than those  dedicated  to sludge  disposal  are considered to  have a  potential
for  eventual  conversion to agricultural  lands or residential gardens, all 13
pathways may  apply  either currently or in the future.   Except for  roadsides,
all  lands to  which  D&M sludge products may be applied  are  also considered to
have the potential  for conversion  to residential use (see  Section 2.3.1.).
Therefore,  highway  landscaping has  been  singled out from all  other D&M uses
for  special  treatment.   Any  other  D&M  later shown  to  fit  this  criterion
could be handled in a  similar  fashion, however.
    A  future  exposure may entail lower  risk than a current one,  since some
contaminants  applied  in  sludge  may  be  lost  over  the  time  period  elapsed
before  land-use conversion.    For  simplicity,  the  suggested  categorization
ignores  the  conversion  period.    However,   methods   to   account  for  the
conversion  period in  criteria  calculations  are provided  in  Chapter 4 and can
be used if  desired.
                                     3-2

-------









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3.1.   TERRESTRIAL FOOD-CHAIN PATHWAYS AND MEIs
    These  pathways  refer not  only to the  human food chain  but  also to the
ecological  food  chain.  Terrestrial  trophic  relationships are  numerous and
complex.   A few pathways  have been  selected  as perhaps  most  important for
assessing  sludge applications.   These  ecological  pathways  involve  plants,
soil biota  and  their consumers.  Pathways leading to human exposure are also
given special consideration.
3.1.1.   Crops  for  Human  Consumption.    This  pathway  (sludge-soil-plant-
human toxicity)  is  important  wherever crops for human  consumption  are grown
or may  be  grown  subsequent to sludge application.   Uptake of sludge contami-
nants  is assumed  to  occur through  the plant  roots.   Direct adherence  of
sludge or  soil  to  crop surfaces is minimal; crops  are washed before consump-
tion.
    The  relevant practices  for this pathway include agricultural  use and use
of D&M  products for  home  gardens  or in commercial  enterprises  where crops
for  human   consumption  are   raised,   whether  in  pots   (e.g.,   hothouse
production) or in the field (e.g., truck  farming).
    For  agricultural  use and  field  use  of  D&M products,  the  MEI could  be
defined  as  an   individual  residing  in   a  region  where  a  relatively  high
percentage  of the  available   cropland receives sewage  sludge  applications.
All  crops  in the diet could be  presumed to be affected owing to crops  from
sludged  and  nonsludged  lands  being completely mixed within the  region.   The
percentage  of the  diet  potentially affected  would be  much  higher,  however,
where  D&M  products are  used  for  home  gardening.   A  scenario  in which  the
Individual  grows a large proportion  of  his or her own  food  would  result  in
higher risk.
                                     3-4

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    The  future uses  of  agricultural lands  may include residential develop-
ment.   Risk is therefore  assessed on the  basis  of eventual suitability for
home gardening.*
    It  is  assumed  that few plants  grown  on forest lands are ordinarily con-
sumed  by humans and  that foods  present  where sludge  has  been applied will
not be  harvested,  since required warning signs  restrict access (see Section
2.2.2.).   This pathway is,  therefore,  not  considered  for  forest land under
its  current  use.    However,   the  future  use  of  forest  land may  include
agricultural use or residential  development.  Since criteria are intended to
protect  future use,  risk  is  assessed on  the basis  of eventual suitability
for  agriculture   or  home   gardening.*    Similarly,   reclaimed   land  may
eventually be used for agriculture or residences.
    Lands  dedicated  to  sludge  disposal  do  not  require assessment  by this
pathway, however,  since crops for human consumption are not grown and future
property owners are notified that such crops should not be grown.
    D&M  products  not suited  for home garden  use may  be applied  only where
there  is considered  to be  virtually no  likelihood  of land  conversion  to
residential use (i.e.,  roadsides).   All  other D&M uses require an assessment
by this pathway.
3.1.2.    Soil   Ingestion  by  Children.   Human  adults may  ingest  some  soil,
but  the amounts   consumed  by  young  (i.e.,  preschool)  children  are  much
greater.  These  children  constitute the  MEI  for  this  pathway (sludge-human
*If physical terrain or  some other factor(s) completely  preclude  the  possi-
 bility  of  any  such  future  use,   it  may  be  desirable  to  conduct a  site-
 specific  risk  assessment  based  on  continued  use  as  an  agricultural  or
 forest site.
                                     3-5

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toxicity).    Since  D&M  sludge  is not  necessarily soil-incorporated, it  is
assumed  that  children may  ingest sludge  directly.   Preschool children  are
assumed to be exposed  in residential  areas where D&M sludge has  been applied
to  gardens,   lawns,  landscaped  areas  or  turf  farms  providing  turf   for
residential  use.   Park   and  recreational  areas  could  also  be  sites  of
exposure.  Sludge application to  agricultural,  forest and  reclaimed lands is
assumed  not   to  result  in  exposure   of  preschoolers.   Following  land-use
conversion,   however,  such  exposures  are   considered   to  be   possible.
Dedicated  land  is  not assessed  according  to  future use because  of warning
statements in the deed and  required hazard evaluation procedures  if land is
converted (see Section 2.2.4.2.).
3.1.3.   Herbivorous  Animals  for Human  Consumption.  Two  separate  pathways
are  considered  whereby animal products  may  become contaminated:   1) sludge-
son-plant-animal-human  toxicity,  and  2)  sludge-animal  (direct  ingestion)-
human  toxicity.   By  the  first pathway,  row  crops (e.g.,  corn)   or  other
forage  crops  (e.g., grasses) are  grown on sludge-amended  soils and take up
contaminants  through  the roots.   The  crops are harvested  for animal consump-
tion.   By the   second,  sludge  is applied  over growing  forage  crops  and
adheres  to crop  surfaces or remains in the thatch layer on the soil surface.
The  crop  is  then  harvested  or  grazed  shortly  after  sludge  application,
resulting  in  direct ingestion of sludge particles.  Alternatively, sludge is
incorporated  into   the  soil.   The  land is  then  grazed,  and heavy grazing
pressure  is   assumed   to maximize  soil  ingestion.   The  MEI  is  the  human
consumer of these animal  products.
     The  first  of   these two  pathways  (uptake)  is  clearly  important  when
sludge  is applied   to  agricultural  lands,  since animal feeds  may  be grown.
                                     3-6

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 The importance of  the second  (direct  ingestion)  is  partially dependent  on
 whether or not  surface applications without  soil-incorporation are  permit-
 ted.   The methodology assumes  soil  incorporation is not  required for  pasture
 crops;  the criteria calculation procedures  can  be used to determine  whether
 or not  this practice would  be  acceptable  (see Section  2,2.1.2.).
    When  sludge  is applied to  forests,  forage  plants  may be contaminated  by
 uptake  or  by direct  adherence.   Herbivores,  such as deer that  are wide-
 ranging,  may  forage  in sludged areas  and may be  taken  by hunters in other
 areas.   An individual  consuming large amounts of wild  game would be the MEI.
 Conversion  of  forest  or  reclaimed  lands  to agricultural  use would  also
 result  in  human exposure through meat consumption,  as discussed above.
    Reclaimed  lands are to be protected  according to potential future use,
 including  forest  or  agricultural  use,  as stated  earlier.   Dedicated lands
 for sludge disposal need  not  be  regulated  for  these  pathways, since human
 food-chain  crops  are  not  produced,  and conversion of  use  is only permitted
 following  hazard  evaluation (see Section  2.2.4.).   Grazing  or  production of
 feed for  animals  consumed  by humans is assumed not to occur where D&M sludge
 products are used (see Section  2.3.)
 3.1.4.   Toxicity   to   Herbivorous  Animals.   The exposure  pathways   for
 herbivorous animals are as  described  in the previous  section,  but  the  end-
 point of  concern  is toxicity to the animals themselves, which constitute the
 MEI.  The  pathways are 1)  sludge-soil-plant-animal  toxicity, and  2) sludge-
 animal toxicity (direct ingestion).   For these pathways, it  does not  matter
whether  the  animals  are  subsequently  consumed  by humans.  The management
 practices  to  which  these  pathways apply  are the  same as described  above,
except that it is  assumed  that wildlife may forage on lawns, gardens, etc.,
where D&M sludge  products  are used.
                                     3-7

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3.1.5.   Phytotoxlcity.   This  pathway  is  described  as  sludge-soil-plant
toxicity.  Toxic  effects in  plants  are of concern for  most  sludge applica-
tion practices, since  the  purpose of most types of utilization is to promote
plant  growth.   On  land dedicated to  sludge disposal,  plant growth  may  be
important in stabilizing the  soil to curb erosion  and  in protecting ground-
water  by  removing  available  nitrogen.   However,   not all  dedicated-land
disposal  programs  encourage  vegetation,   and  therefore  evaluation of  this
pathway  is  not  required.   This  pathway  should  be  evaluated for  all  other
management practices,  however.   The  MEI,  or vegetation type to be protected,
may  be  varied  to  match  the land  use if sufficient data are  available  to
adequately  assess  effects  for  different vegetation  types;   otherwise,  the
most  sensitive  plant  for which data  are  available  will   be  assumed  to
represent all plants.
3.1.6.   Toxicity  to Soil   Biota  or Their Predators.   Two pathways are con-
sidered  here:   1)  sludge-soil-soil  biota toxicity,  and 2) sludge-soil-soil
biota-predator toxicity.   The term "soil  biota"  is intended to be  interpret-
ed  broadly.   The  first pathway examines  effects on  a  broad  range of organ-
isms  including microorganisms,  soil  invertebrates  such  as  earthworms,  or
various  arthropods  living  in or  near  the  soil,  as long as potential effects
in  these  organisms  can  be  related  to  soil   concentrations.    The  second
pathway  examines  effects  on  predators of these organisms, especially small
mammals  and  birds.   These predators could include  insectivores,  for example,
as  long  as  available  data  permit  the contaminant  concentrations in their
prey  to  be related  to  soil  concentration.
3.2.    PARTICULATE  RESUSPENSION PATHWAY
     Particulate resuspension  leading to human  inhalation   exposure may be of
concern  in  certain situations.   This concern  probably  can be  limited  to
                                      3-8

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 practices in  which  sludge  is  applied to  large areas  (>1  ha) where  estab-
 lished vegetation is  lacking or  where  mechanical  resuspension,  such as  by
 tilling,  may occur.  These  situations include agricultural use,  land  recla-
 mation use and dedicated  land  disposal,  and  also  outdoor nursery  operations,
 truck  farms, turf  farms  and highway  landscaping projects  using  D&M  sludge
 products.   A tractor driver  performing tilling  operations  is  examined  as  the
 MEI.
 3.3.    SURFACE  RUNOFF PATHWAY
    Contaminants  in  sludge   applied  to   soil  may be  transported  in surface
 runoff to receiving  waters   including streams,  lakes  or estuaries.  Harmful
 effects  could,  therefore, occur  in aquatic  organisms  residing in the water
 or  in  humans  and  animals drinking the water or consuming aquatic organisms
 living in the  water..  The   runoff  pathway  should  be considered to  pose a
 potential  problem except  where  the   sludge  is  completely  contained,  as   in
 indoor nursery  operations.   Site  size tends  to  be more limited for most D&M
 applications  than  for the  other  land application practices,  and therefore.
 the likelihood  of  runoff  impacts  is usually  minimal.   However, since appli-
 cation to large sites is not  ruled out, D&M uses are not excluded.
 3.4.   GROUNDWATER PATHWAY
    Subsurface  transport  of  contaminants to  groundwater,  and  subsequent
 ingestion  by humans,  may be of   concern where sludge  is applied  to  land.
 Like surface  runoff,  this  pathway is considered potentially important except
where  sludge  is completely  contained.   The  MEI  is  an  individual  obtaining
drinking water from a nearby well.
3.5.   VAPORIZATION PATHWAY
    Volatile contaminants  may vaporize from  land-applied  sludge,  and  subse-
quently may  be  transported  downwind  to  cause human exposure.   Vaporization
                                     3-9

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1s not  a potential  problem where composted, heat-dried or  air-dried  sludge
1s used;  in  these cases  volatile  contaminants are  considered  to have  had
adequate  time to  escape.   Therefore,  D&M  uses are  not evaluated for  this
pathway,  but  agricultural, forest and  land-reclamation uses  and  dedicated-
land  disposal require evaluation.
                                     3-10

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               4.  CRITERIA CALCULATION METHODS FOR TERRESTRIAL
                         FOOD-CHAIN EXPOSURE PATHWAYS
 4.1.   TERRESTRIAL FOOD CHAIN — GENERAL CONSIDERATIONS
     Several factors affect many  of the exposure pathways associated with the
 terrestrial food chain.  These  factors are addressed below and  will  then be
 referred to  in  later  chapters  dealing with specific pathways.   The  assump-
 tions involved are presented  in  Table 4-1  and also are discussed  in the text.
 4.1.1.    Calculation of Application  Rates To Achieve Specified  Soil  Concen-
 trations.   The criteria calculation  procedures  given in the  following pages
 frequently  calculate   a  reference  soil  concentration,  RLC  (in  yg/g  DW),
 that will  protect human health  or the environment.  It  is  then  necessary to
 translate  the  RLC  into  a  corresponding  reference application  rate  of  the
 pollutant,   RP  (in  kg/ha).    Calculation   of   the   RP  must reflect  soil
 incorporation  practices and also  loss  rate  of the contaminant  from the  soil.
     4.1.1.1.   SOIL  INCORPORATION  OF SLUDGE --  In  many, but not all,  land
 application  practices,  sludge is incorporated  into the  upper layer of  soil
 before   crops  or  other  vegetation  are  grown.   Incorporation   is  usually
 accomplished  by  disking or  chisel plowing  of  surface-applied sludge  or by
 direct  injection  into  the  soil.   An assumption typically  used  is  that  sludge
 is  mixed into the  soil to  a depth of  15 cm (6  in), and that the soil has
 a  bulk  density  of  1.33  g/cm3; therefore,  the  dry mass  of   this  upper-
 layer  of  soil  is   2xl03  t/ha  (Naylor and Loehr,  1982;  Donahue et al.,
 1983).   This  assumption  results  in  the  following  relationship  between
 contaminant application rate and   initial contaminant concentration in soil:
where:
                     RP = RLC x MS x 10 3
RP   = reference application ratie of pollutant (kg/ha)
RLC  = reference soil concentration of pollutant (yg/g DW)
MS   = 2x103 t/ha = assumed mass of soil in upper 15 cm
10-3 = conversion factor (kg/g)
                                     4-1
                                                                       (4-1)

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From  this  equation,  a  soil  concentration of  1  yg/g  DW  corresponds to  a
pollutant application rate of 2 kg/ha.*
    Equation 4-1  is simplified  in  that  is does not take  into  account back-
ground concentrations of  the pollutant that may already  be  present,  whether
natural or from  other pollution sources.  If it is assumed the total  mass of
the soil-sludge  mixture  is  equal  to  MS,  then  the amount of  soil  is MS-AR,
where AR is  the  sludge  application rate  (in  t  DW/ha).   The reference appli-
cation rate, RP,  must be  reduced by an  amount  corresponding to the contami-
nant mass contributed by the soil:
                    RP =  [(RLC x MS) - BS(MS-AR)] x 10~3               (4-2)
where  BS  =  background  concentration  of  pollutant in soil  (yg/g  DW).   If AR
is  very  small  compared  with MS, as is often the case, AR may be dropped from
Equation 4-3.  The equation then reduces to the following:
                          RP = (RLC-BS)  x MS x 10 3                    (4-3)
where:
       RP   = reference application rate of pollutant (kg/ha)
       RLC  = reference soil concentration of pollutant (yg/g DW)
       BS   = background concentration of pollutant in soil (yg/g DW)
       MS   = 2x103 t/ha = assumed mass of soil in upper 15 cm
       10-a = conversion factor (kg/g)
    For  organic pollutants  the  background concentration  in  soil  (BS) ordi-
 narily  is assumed  to  be zero,  so that criteria  for sludge application are
 calculated  independently  of  other contamination episodes.  Equations 4-2 and
 4-3 thus ordinarily reduce to Equation 4-1  for organics.   However, Equation
 4-2  or  4-3 may still  be appropriate for  organics  on a site-specific basis,
 if warranted by existing contamination.
 *If  soil  incorporation  depth  were greater,  i.e.,  20 cm,  an  area/mass of
  2.6x103  t/ha  would  be  calculated.   In  this  case,  if  RLC = 1  yg/g DW,
  then  RP  =  2.6  kg/ha.
                                      4-4

-------
      If  the contaminant  persists  indefinitely in  the upper  soil  layer once
  applied,  then RP  in  the above  equations  represents a  cumulative pollutant
  application  rate,  which will  be denoted  as  RP .    if the  pollutant  is lost
  over  time,  then  the calculated RP gives the  amount that could be applied in
  a  single  sludge  application,  where  no  waiting   or conversion  period  is
  assumed.   This   rate  will   be  denoted  as  RP^   To calculate  a  permissible
  single-application  rate that  is  to  be  followed  by  a waiting  period  or
  land-use  conversion  period (RP^)  or  to calculate an annual  application
  rate (RPa), the loss rate from soils  must also be considered.
     4.1.1.2.   CONTAMINANT   LOSS  FROM SOILS - Contaminants  may be lost  from
 soils as a  result  of  numerous  processes, including leaching,  volatilization,
 and chemical  and biological degradation.   These processes  may be occurring
 simultaneously and  at  different rates.
     Many of the  inorganic   contaminants of  concern  are  not  subject to vola-
 tilization  or degradation,  and leaching  is  minimal  because  they are tightly
 bound  to soil.   Particulates may be  lost to  runoff,  but if sludge is soil-
 incorporated,  loss  of  some   soil and  sludge particles will not affect contam-
 inant  concentration  in  the remaining  soil.   Therefore,  this  methodology
 usually  assumes  that  inorganic  contaminants  are conserved  indefinitely in
 the  upper  layer.   [Inorganics  may be treated in the same manner as organics,
 however, if a  loss rate constant can be estimated.]
    Organic  contaminants, on the  other hand, may be  subject to all of these
 loss processes that  are  extremely difficult to model in  order to predict the
 rate of  loss.   A simpler means to  estimate loss  is based on  empirical  data
 from soil  systems where  soil  concentrations have  been  followed over  time.
These data may be used to estimate a first-order loss rate  constant for  the
pollutant.    The  use  of such  a  rate   constant  is  recognized  to  be  an
                                     4-5

-------
over-simplification,  since  the  processes  involved  are  complex  and  not
necessarily  first  order.   Rate  constants  should be derived  from  field data
wherever  possible,  or may  be estimated by analogy  to  other  closely related
chemicals. Where  no basis  for an estimate  is available, no  loss should be
assumed.
    First-order loss is represented by the following equation:
                                         -kt
                                     coe
                                                         (4-4)
where:
       Ct = concentration at time t (yg/g)
       C0 s concentration at time zero (yg/g)
       e  - base of natural logarithms, 2.718 (unitless)
       k  = loss rate constant (years-*)
       t  - time (years)
 If BS  is assumed to be zero, the following is true:
                                            -kT
where:
        RP<
                              RPS = RPsT
reference single-application rate, with no waiting
period (kg/ha)
                                                         (4-5)
        RPsT s  reference  single-application  rate  followed by waiting
               period  (kg/ha)
        k    »  rate  constant  for  contaminant loss from  soil (years-*)
        T    =  waiting (or  land-use  conversion) period  (years)
        e    «  base  of natural  logarithms, 2.718  (unitless)
 Thus,  from Equations 4-1  and  4-5,  an  expression can be derived  for  calculat-
 ing the  permissible  application  rate of  a pollutant subject  to loss  over
 time when a one-time application will  be  followed by a waiting  period:
                         RPsT = RLC x MS X 10
                                 x e
                                                   kT
(4-6)
 where:
        RPsT ~ reference single-application rate followed by waiting
               period (kg/ha)
                                      L-K

-------
         RLC  = reference soil  concentration  of pollutant (yg/g DW)
         MS   = 2xl03  t/ha = assumed  mass  of  soil in  upper 15  cm
         k     = rate constant for contaminant  loss  from  soil (years-1)
         T     = waiting  (or land-use  conversion)  period  (years)
         e     = base of  natural  logarithms, 2.718 (unitless)
     Ordinarily,  however, it  is desired  to  determine  an amount  that can be
 applied  annually,  RPa  (1n  kg/ha).   To do so,  it  is  first necessary to
 solve Equation 4-2 for the  reference soil concentration, RLC:
                          RLC  =
                                RP x  103  + BS
                                         MS
                                                                        (4-7)
 where:
        RLC = reference soil  concentration of pollutant (yg/q DW)
        RP  = reference application rate of pollutant (kg/ha)
        IDs = conversion factor (g/kg)
        BS  = background concentration  of pollutant in soil  (vg/g  DW)
        MS  = 2x103  t/ha - assumed  mass of soil  in  upper 15  cm
        AR  = sludge application  rate  (t DW/ha)
 When the  first annual  application,  RPa,  is  applied, the  background  BS  is
 assumed to  be  zero.   Therefore, the  initial  soil concentration  (LC )  is  as
 follows:
                               LC0 =
RPa x IP3
   MS
                                                                       (4-8)
After  1  year's  time,  but before a second application, the soil concentration
(LC1,) is as follows:
                         .  = LC
  |RPa  x  1Q3
      MS
                                                                       (4-9)
                                       \         /
When  the  second  application  is  made  at  year 1,  the  soil  concentration
(L^)  is  determined  from  Equation 4-7,  using  the  residual  concentration
from the first application,  LC],,  as the  value  of BS:
                          = Rpa x 1Q3 + LCr (MS-ARa)
                                       MS
                                    4-7

-------
                   RPa x 103  + [(RPa  x 103)/MS]e-k(MS-ARa)
                                     MS
                         RPa x IP3
                            MS
                                                      (4-10)
Similarly, when applications  are  repeated  annually for n years, the  concen-

tration Immediately following the nth application (LCn) is as follows:
      ,c  =
Rpa x 1Q3
   MS
                                De-k  + D2e-2k
where:
       D - (MS-ARa)/MS

When  the  reference  soil concentration,  RLC,  from the  criteria calculation

procedures  given  later  is  used  for  LCn,  then  RPfl  is  the  corresponding

reference  application rate  that can be applied annually.  Solving for RPa,
RPa = RLC x MS x 10-3 C1
                      D2e-2k+
                                                    Dn-le(l-n)k]-l    (4-12)
 This  equation can be further  generalized to  include the case where a waiting

 or conversion period, T,  follows  the  nth application:

     RPa = RLC x MS  x  ID- ekT  n  + De-k + D2e-2k  + . . . + on-led-")*]  (4-13)


        RPa  = reference annual application  rate of pollutant  (kg/ha)
        RLC  = reference soil  concentration  of pollutant (yg/g DW)
        MS   = 2xlQa t/ha = assumed mass of  soil in upper 15 cm
        10-3 = conversion factor (kg/g)
        e    = base  of natural  logarithms, 2.718 (unitless)
        k    = loss  rate constant (years-1)
        T    = waiting (or land-use conversion) period  (years)
        D    = (MS-ARa)/MS
        ARa  = annual  application rate (t  DW/ha)

 Thus,  annual  application rates  for  dissipating   compounds may  be  calculated

 as.  a  function  of  the  limiting  soil  concentration,  pollutant  loss  rate

 constant, waiting  period since last  application  and sludge  application rate.
                                      4-8

-------
 As  noted  previously, in most  cases  ARa is very  small  compared  with MS, and
 0 reduces to 1 and may be dropped from Equation 4-13.
     4.1.1.3.   INPUT  PARAMETER   REQUIREMENTS   FOR  CALCULATING  APPLICATION
 RATES — Several  input  parameters may be  required  for calculating pollutant
 application rates from  the  reference soil concentration.  The soil mass, MS,
 and  loss   rate  constant,  k,  have  been   discussed  previously.   The  other
 parameters are discussed in  the following  text.
     4.1.1.3.1.    Waiting  Period  or  Land-Use   Conversion  Period  (T)  — As
 mentioned  in  Section 2.2.1.2., waiting periods following  sludge  application
 may be evaluated  as  a  useful  means  of reducing  risk  from certain  activities,
 such as grazing  of  cattle or  planting  of  crops.   Suggested values for  T in
 these  instances will  be given  as part of  the  discussion of those  specific
 exposure  pathways rather  than here.   As also mentioned  in Chapters 2 and  3
 (see  Table  3-1),  certain  exposure   pathways  may  not  be  relevant  until
 land-use conversion  occurs.   It may be  assumed  that  some period  of time, T,
 is  required for  such conversion to occur.  This  report  will  not attempt to
 specify  the time  periods that could  be   associated  with  various  types of
 conversion, however.
     4.1.1.3.2.   Number  of  Annual Sludge  Applications  (n) —  Since there is
 no established  limit  to the  number of  sludge applications that may occur in
 most utilization  practices,  an infinite number should ordinarily be assumed.
 In   practical  terms,   if   n = 5.6/k  then  the  final   term,   e(1~n)/k,   in
 Equation 4-13 will be <0.01, and the  result of  further increasing n will be
negligible.   This  approach   will  be  used here.   In  certain  utilization
practices,  however,  especially where site-specific information can  be  used,
it may be  appropriate to assume a more finite value of  n.  For example,  land
reclamation may involve only  1  or a few years of  sludge  application.
                                     4-9

-------
    4.1.1.3.3.    Sludge  Application  Rate  (AR)  — A  cumulative  rate,   ARC
(in  t  DW/ha),  is  used  in  Equation  4-2,  and  an  annual  rate,  ARg  (in  t
DW/ha),  is   used  in  Equations  4-12 and  4-13.    Since  large  values  of  AR
slightly increase RP,  low values should ordinarily  be assumed  for a protec-
tive  approach.   AR   typically  is  ~5  t  DW/ha  for many  agricultural  uses.
                   9
AR   can be  much  higher, since  it  is  assumed  that sludge  applications  may
be  repeated  indefinitely,  but  if  only  a  single  application  is  made,
AR  = AR .   Therefore,   AR   should   ordinarily  be  considered   zero   for
  c     a
purposes of  criteria calculation.
    4.1.1.3.4.   Background   Soil   Concentration   of   Pollutant  (BS) —As
stated   previously,   BS   (in   yg/g  DW)  may   be  the   natural  background
concentration  or  may  result  from other  pollution  sources.    In  national
criteria derivation,  it is suggested that mean  values, such as  those arising
from  natural  background or  very  widespread  pollution   (such  as  lead),  be
used.    Locally  elevated   concentrations,   either   from  unusual   natural
background  levels  or localized  pollution sources,  should  be dealt with on  a
site-specific  basis.   Values  of  BS  should  be  derived  from  national  or
regional  surveys of  soil  concentration.   For metals,  pollutant additions in
sludge are  considered  on the  basis  of total  metal, rather than  extractable
metal.  Therefore,  soil  analyses should  also  be of total  metal.  Extractable
metal  is that which can  be extracted by  dilute acid (such as 1 N HNOg) or
a  chelating  agent   (such  as  EDTA),   whereas   total  metal  is  approximated
 following a complete digestion  of  the sample with concentrated acid (such as
 nitric-perchloric acid digestion).
 4.1.2.   Contaminant Uptake Relationships.
     4.1.2.1.   PLANT  UPTAKE OF  CATEGORY 1  CONTAMINANTS — Rates  of  uptake
 of inorganic  chemicals,  especially metals,  by plants  grown in sludge-amended
                                      4-10

-------
  soils  have been  intensively  studied.  Recent  reviews of plant-metal uptake
  relationships  include  those by  CAST (1980),  Ryan  et al.  (1982),  Logan and
  Chaney  (1983)  and U.S.  EPA (1987a).  In  an  effort  to relate the response of
  total dietary  cadmium  (Cd)  to sludge-applied Cd for the purpose of assessing
  risk,  Ryan  et  al.  (1982)  used  linear  regression  (of  plant  tissue  Cd
 concentration  against  applied  Cd)  to  derive  uptake  response  slopes  for
 various crops.*   The  slope of the  crop  response curve to added soil  Cd  was
 different for annual and  cumulative Cd  additions.   The annual  response curve
 represented  the   more  responsive  situation;  therefore,  they  felt  it  was
 judicious  to  use this curve  and thus  err on  the  conservative side  (i.e.,
 overestimate  human exposure).   Presently  from  our understanding of  long-term
 metal  availability from land application  of  sewage  sludge (U.S. EPA,  1987a),
 it  is known  that the first-year  response  curve [annual  response curve from
 Ryan  et  al.   (1982)]  generated   by a  large,   single sludge addition will
 overestimate  long-term  metal  accumulation  in   vegetative  tissue  and that
 response  curves  generated 4 or  more years following  sludge  application are
more appropriate  models.   At any  rate, the underlying assumption is that for
each incremental  increase  in soil  metal  there  is a  constant  linear increase
in  plant  tissue   concentration.    By  this   approach  a  cumulative  metal
application limit  can be  reached  above which no  further  additions  of sludge
containing metal would  be  allowed.
         docume.nt, the term  "uptake  response"  (or simply "response")  is  used
                       V, tissue  concentration in response to'  exposure  tla
 P       sure

                                    4-11

-------
    More recently,  however,  others have  argued that  Cd  response  is  curvi-
linear  and  approaches  a  plateau,  the level  of which  is  not dependent  on
cumulative  application  rate  but  rather  on  the  metal  activity  in  the
soil/sludge  solution.  This  argument,  as  summarized by  Logan  and  Chaney
(1983)  and  U.S.  EPA  (1987a),  is  based  on  the  premise  that as  the  total
amount  of sludge  added to soil increases, Cd availability becomes controlled
by  the adsorptive  characteristics of  the sludge  rather than of  the  soil.
Since  with  increasing  sludge  addition the  soil  Cd increases, crop response
increases with application  rate  at low  application rates where  the  soil's
adsorptive   capacity  controls  metal  activity.    However,   if   the  metal
adsorptive  capacity of the  sludge is  high compared  with  the soil (usually
assocated  with high  sludge  rates),  the  soil  adsorption sites  that  can be
filled  at the  activity supported  by the sludge will  result  in only a small
decrease  in  solution  activity,  and  the sludge  adsorption  properties will
control solution  activity  and thus plant  uptake.   At some point, where  the
sludge adsorption  capacity  is  controlling  metal  solution  activity,  plant
concentration will  reach a  maximum (plateau)  and  further addition of  sludge
will  not change  plant tissue  concentration.   The  sludge properties that  are
thought  to   control   its  adsorption   capacity  include  Cd  concentration,  Fe
 concentration, Al  concentration,  P concentration  and pH  (U.S.  EPA,  1987a).
 A  thorough  critical  review  and  acceptance  of  this  hypothesis   by   the
 scientific  community and  development of  the  data base  will be  necessary
 before  it  can  become a  basis  for  regulatory   criteria.   However,  in  an
 attempt  to  reflect the  current  state of  knowledge,  the present methodology
 will tentatively accept this hypothesis.
     A  comparison  of  the  response  curves  generated  by  the  linear  and
 curvilinear  models  are   illustrated   in Figure  4-1.   In the  case  of  the
                                      4-12

-------
Crop Metal
Concentration
(ug/g)
                                A - linear response

                                B - curvilinear response
                       Cumulative Sludge Application Rate (t/ha)
                              FIGURE 4-1

          Curvilinear Uptake  of Sludge-borne Metal by  Crops



                                  4-13

-------
curvilinear model  the  plant tissue  concentration reaches a maximum  value  P
(plateau),  whereas  the  linear  model   assumes  that  no  maximum  value  is
reached.   At  low  loading rates  both  models predict  the  same plant  tissue
concentration,  whereas  at  higher loading  rates  the  linear  model  predicts
higher   plant  tissue   concentration.    If   the  acceptable   plant   tissue
concentration were  greater  than P, the curvilinear  model  would  allow for an
infinite  amount of  sludge  to  be  applied,  whereas  the  linear  model  would
allow for a finite amount of sludge to be applied.
    An  additional  complicating  factor is that  crop  response during the first
year  of sludge application is  higher than  that observed  several years after
the  first  sludge  application  (U.S.  EPA,  1987a).  This  is  illustrated  in
Figure  4-2 for both the  linear  and curvilinear  model.   The implication  of
this  is  that  for  long-term consideration,  response curves generated several
years  after  an initial sludge addition,  or after  multiple  years of  sludge
addition, would be more applicable.
     Both the linear model  and  the plateau model  can  be  useful  for assessing
 effects  of  sludge applications.   Linear  response  slopes are  easily derived
 and  usually  available for  various  crops, thereby  providing  a  means  for
 comparing  relative  responsiveness among  crops.   Plateau data,  on the other
 hand, may be most appropriate  for estimating long-term impacts of cumulative
 sludge   addition.   However,  where  insufficient  data   exist  to  determine
 plateau  levels in  sensitive  crops,  linear response  slopes  provide  a highly
 conservative  means  of  assessing  risks from crop  uptake  of  metals.  Guidance
 for  determining   linear  response  slopes  and  plateaus  is  given  below.
 Specific  use   of   these   values  to  derive  criteria  for  various  exposure
 pathways is  discussed  in later chapters.
                                       4-14

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    Crop Metal
    Concentration
    (WJ/9)
                                     A - linear response
                                     B - curvilinear response
                           Cumulative Sludge Application Rate (t/ha)
                                  FIGURE  4-2
                   First-Year Vs. Multi-Year  Observations

a = Crops grown in the first year of sludge application
b = Crops grown 1  or more years following sludge  application,  or where appli
    cations have been repeated annually
                                     4-15

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    The report  (U.S.  EPA,  1987a)  also advances the  hypothesis  that relative
response among  crops  is  fairly consistent across soils and sludges, at least
for  similar soil  pH.   In  other words,  if  the  linear  response slope  of  a
metal  in  crop A is  5 times higher  than that in crop B  in  a well-conducted
experiment  using  a given soil  and sludge, then  it  will  also be   5 times  as
high when  a different sludge or soil  (of  a  similar pH)  is used, even though
absolute   response  may  differ  substantially   between   the  two  studies.
Therefore,  the  response  of any crop theoretically  can be expressed in terms
of  any other crop,  as long as the  two have been  studied in the  same valid
experiment.  The  response  of all  crops could thus be expressed in terms of a
single,  frequently  studied  (and  relatively  responsive)  index crop  such  as
lettuce.
    The hypotheses regarding the uptake response plateau and relative uptake
response  relationships remain to  be  rigorously  validated  for each chemical
that  may   require  criteria  derivation.   Therefore,  criteria  calculations for
specific   chemicals   should  include  discussions  of  pertinent uptake  data
verifying  that  these  hypotheses hold in each case.
    4.1.2.1.1.   Determination  of  Linear Uptake  Response   Slopes — Linear
response  slopes can  be  calculated  from  any data  set  where tissue analyses
and  cumulative metal application rates  have been recorded.   Tissue analyses
from  various  application  rates  in  a  single  year   (whether  or not previous
sludge additions  have  been  made)  are  generally  more  easily  interpreted
because year-to-year variability of conditions  is  eliminated.   Data from the
first  year of sludge application will  generally  result  in higher  slopes than
those  from  later  years,  as mentioned  above.   Multi-year slopes may be more
representative  of  typical  sludge application practices.
                                      4-16

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     Data derived from sludge  applications  in the field are  most  appropriate
 for use  in  risk assessments.   Greenhouse  studies where plants are  grown  in
 pots are known  to  often  overpredict uptake under field conditions (Logan and
 Chaney,  1983).  However, in the absence of field data, data  from  pot studies
 may be useful,  especially where large pots are  used  to minimize  restriction
 of  root  growth.   Studies  using metal  salts,  added either  to   soil  or  a
 sludge-soil  mixture,  also tend to  overpredict  field response.   Therefore,
 metallic  salt uptake  data should not be used  for risk assessment if  sludge
 data are  available.
     Studies  where plants  are  grown  in  solution  culture  also  should not be
 used,  as there  is  no  reliable  way  to  relate concentration  in  solution to
 total  soil  concentration  in  the field  or  application  rate.   Studies where
 sludge  has  been  applied  over growing  plants demonstrate physical adherence
 rather  than  physiological uptake and therefore  should not  be  used.  Their
 use  in  assessing effects from contaminated  animal  forage  is  discussed later
 (see Sections  4.4. and 4.5.).
     Uptake response  slopes  are calculated by regressing plant tissue contam-
 inant  concentration  (in  pg/g  OW)   against  cumulative  contaminant applica-
 tion  rate  (in  kg/ha)  for  the  various  treatment  levels,  including  the
 control.  Note that where the control application  rate is zero,  the tissue
 concentration  is  greater  than  zero because of background occurrence of these
 elements.  Where data from a  pot study  are used,  soil  concentrations must
 first  be  converted  to application  rates  using  the  relationship discussed
 previously (see Section 4.1.1.1.).
    Some  additional  considerations  may  be  important  when   linear  response
 slopes  are  calculated.   If a  data  set shows a curvilinear tendency,  linear
 regression  may  underestimate   the  slope  at  low  application   rates  (and
overestimate  the slope  at  high  rates).  Since many  studies  use   very  high

                                     4-17

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application rates  to demonstrate an  effect,  and rates of concern may  be  In
the lower  part  of  the curve, it may  be  appropriate to recalculate the slope
after dropping some of the higher points.
    Conversely, a  linear  slope  is  sometimes used to  estimate  tissue concen-
trations at  application rates  well  beyond the  range  of  the  available data.
If  the  contaminant  is  phytotoxic,  this  extrapolation  could  result  in
predicting  very  high  tissue  concentrations  that  in  actuality would  have
resulted  in  death  of  the  plant  (and  therefore cause  zero risk  to  higher
trophic  levels).   A  straightforward  means of addressing  this  problem is  to
determine  a  maximum  tissue  concentration for a given crop,  based  on  avail-
able  phytotoxicity  data,  and  to  assume  this  value  as  an  upper  limit  to
uptake.  The  plant tissue concentration  limit (TL)  is not that which occurs
at  a  phytotoxic threshold (that is,  the  level  at or above which symptoms of
phytotoxicity,  such  as  a  modest  yield  reduction  or foliar discoloration,
first  appear),  since threshold effects  do not necessarily preclude contami-
nant  passage up  the food chain.   Ratherp maximum concentrations  are those
associated with severe yield reduction  (>75%) or death of the plant.  When  a
maximum tissue  concentration   (TL)  is   imposed  as  a  ceiling,  the  resulting
assumed uptake  relationship   is  as  shown   in Figure  4-3.    Plant  tissue
concentration  at which  phytotoxicity occurs  is dependent upon  a  number of
soil  and  sludge  factors  and  can  be  expected  to  vary over  a wide  range.
Therefore, the  value used  in  criteria  calculations  for specific  chemicals
should  include  a  discussion  of  pertinent data.
    4.1.2.1.2.    Determination  of  the   Uptake  Response  Plateau—  If  uptake
response is  assessed on the  basis  of a  plateau, the  tissue  concentration at
which a plateau  occurs must  be  estimated for  a  given  study.  The shape or
                                      4-18

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                     TL
      Crop
      Metal
      Concentration
                                Cumulative Contaminant Application Rate (kg/ha)
                                  FIGURE 4-3

            Limitation  by Phytotoxicity of Linear Uptake Response*
*For explanation,  see  text.
                                      4-19

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slope of the  lower  portion  of the curve is not important.   Nonlinear regres-
sion techniques for  fitting  a curve to the data  and  determining and placing
confidence limits  around  the  asymptote  should be used.  If an  upper confi-
dence limit  of the  asymptote is used  as the plateau, the  number  of points
and goodness-of-fit  of  the  data will help determine how low a  plateau can be
assumed.   This  would provide  a built-in measure of safety  when  using less-
than-ideal data  and would  be consistent with  procedures  currently  used  in
the Agency for estimating cancer potency, that is, the use of  an upper bound
value rather  than the  maximum-likelihood estimate of  the  parameter sought.
However, the  maximum-likelihood estimate would also be useful, especially in
illustrating the variability associated with this parameter.
    Nonlinear  regression  may  be  carried out  with  the same type of data as
used  for  linear  regression,  that is,  tissue  contaminant  concentrations (in
pg/g DW) vs. cumulative contaminant applications  (in kg/ha DW).
    4.1.2.2.   PLANT   UPTAKE   OF  OR6ANICS — Linear  uptake  response  is
assumed  for  organic chemicals and is calculated  as described  for inorganics,
but  with  some  important differences.   Because  organic  compounds  tend  to
degrade  in  soil,  plant  tissue  concentration   is  usually expressed  as  a
function  of  a measured soil  concentration, rather than application rate, in
most  available  studies.    Therefore,  the  soil  concentration (in  yg/g dry
weight)  is used as  the  x  axis  to  determine the  slope.
     In  addition,  because soil  concentration  rather than  application  rate is
used,  and because  most of the compounds of  concern  are xenobiotics, tissue
concentration  can  be   assumed  to be  zero  when  soil  concentration is  zero.
Therefore, the slope reduces  to  a  bioconcentration factor (BCF) that can be
derived  from  a  single data  pair,  as is commonly done to derive BCFs for
aquatic  organisms.  Few  studies  have  quantified uptake of  organic  compounds
from land-applied sludge.  Estimations  of  response slope may  need  to rely on

                                      4-20

-------
 other data,  such  as  from  soil-applied pesticide studies where  plant  uptake
 through roots occurred.
     4.1.2.3.    CONTAMINANT   UPTAKE   BY  ANIMAL  TISSUES — Linear   response
 slopes are derived  for uptake  of inorganics  or organics  by animal tissues
 consumed  by humans.   Tissue concentration  is  regressed  against  concentration
 in feed.   Tissue concentrations  in  the literature may be expressed  in  dry or
 wet weight,  but  dry weight  is  preferred.   For  uniformity in applying  this
 methodology,  all  slopes should  be  derived  based  on dry-weight (moisture-
 free,  but including fat) concentrations  in tissue and feed.  Conversion  from
 wet to dry weight  for various tissues  should  be made according to  percent-
 moisture  values given  in USDA  (1975).
     For  lipophilic  organics,  tissue concentration  is often expressed on a
 fat basis (ng/g  fat).   If  so,  the slope should also be expressed  on  a  fat
 basis  rather  than  converted  to dry-weight  basis.   Also,  the slope   for
 organics  may  be the same as a BCF derived from a single data point (that  is,
 animal  tissue concentration *  feed concentration),  as  described previously
 for plant uptake of organics (Section 4.1.2.2.).
     The  best  studies  for  deriving  uptake  information  are  those  in  which
 sludge or  sludge-grown crops  are used as part or all  of the diet for animals
 (such  as  cattle,  sheep, swine  and  poultry)  typically  consumed  by humans.
 Studies  in  which the  diet  has  been amended with  pure  chemicals should be
 used only in  the  absence of these data, since the added  forms often  are more
 bioavailable.    Tissues  analyzed  may  include  muscle,   kidney,   liver  and
 various other organs less frequently consumed by humans.
4.1.3.   Toxicity Thresholds  for Nonhuman Organisms.  Detailed methods have
been developed by the  U.S.  EPA for determining toxicant  exposure  levels that
should not  be exceeded  in  humans (Federal  Register,  1980).  When sludge is
applied to  land,  other  organisms,  such as  soil  biota and their predators,

                                     4-21

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plants and grazing  animals  should  be protected as well  as  humans.   However,
specific methods for  selecting  threshold levels for protecting these diverse
groups  have  not  been articulated.   It  may be  difficult to  determine  what
studies are most appropriate,  what effects are of concern,  and how to select
protective values based on the available information.
    The  U.S.  EPA  Guidelines  for  Deriving  Numerical National  Water Quality
Criteria  for  the Protection  of Aquatic Organisms and Their  Uses  (U.S.  EPA,
1984c)  comprehensively address  these issues  with  regard to  aquatic organ-
isms.   These  Guidelines  list  acceptable types of toxicity  tests  and estab-
lish  a minimum data  base for  the number  of  species required  to  have been
tested.   The  threshold,  or "chronic  value," is defined as the geometric mean
of  the lowest  exposure  level  causing,  and the highest  level  not  causing, a
statistically  significant, adverse   effect  in a  given   species.   The final
value  is  then calculated as the level that protects  95%  of the  tested genera
of  aquatic species.   If  a commercially or recreationally important  species
requires  greater protection, the final value is lowered accordingly.
     It would be desirable to  use similar procedures for protecting  terres-
trial  organisms;  however, sufficient information may not be available for a
comparably  systematic  approach.     The   following   general   guidelines   are
suggested for  determining  toxicity  thresholds  in  plants,  invertebrates  and
vertebrates:
     1.  Long-term   inhibitory  effects  should   be   considered  adverse
         unless  evidence  to the  contrary  is  available.   These effects
         usually include  reductions  in  growth,  fecundity,  lifespan  or
         performance,    as  well   as   symptomatic   manifestations   of
         toxicity.    However,   temporary  reductions   in   soil   microbial
         activity or  diversity  should not  be  considered adverse  unless
         there   are   demonstrated   long-term   effects   on   ecosystem
         parameters.   Where   effects  cannot  be   attributed  to   one
         chemical,   such   as   studies  where  exposure   is  to  sludge,
         thresholds  ordinarily cannot be determined.
                                      4-22

-------
     2.  The  geometric  mean  of  exposure  levels  bracketing an  adverse
         effect should be  used  as the threshold.  For  example,  if  expo-
         sure  levels  are  1,  10 and  100, and effects are  significant  at
         100,  a  value  of  -30  (~[10xlOO]l/2)   should  be   used.   Where
         effects  occur at  the  lowest  exposure   level,  and  other studies
         better defining the  threshold  value are unavailable,  no thresh-
         old value can be  determined.   Where results were  not  statisti-
         cally  tested, careful  judgment  should  be used to  determine  the
         meaningfulness  of  a given change.

     3.  The form  of  a  contaminant  used in  a  study should not  be  con-
         sidered  equivalent  in  bioavailability  to  the form present  in
         sludge or migrating  from  sludge  unless  no  better  data are
         available.  Studies  with sludge or sludge-grown  crops  usually
         cannot be used  to  establish  a  toxicity  threshold  because of the
         presence  of other  pollutants.   Therefore,  it  may  be  necessary
         to rely on results of  studies  using pure forms of  the contami-
         nant.   If, however, a  study  using  sludge, sludge-grown crops  or
         some other appropriate  vector  demonstrates  lower  bioavailabil-
         ity in a  realistic exposure situation,  such information should
         be taken  into  account  when establishing the  threshold.  How-
         ever,  a study showing  little  response  to a  sludge-borne chemi-
         cal  in species  A cannot  be  taken to indicate that a more sensi-
         tive  response to   the  pure  form  in species  B should be  dis-
         regarded.

    4.   Where  studies with few species  are  available for a  given chemi-
         cal,  the  results  with the most  sensitive  species should be used
         to  determine  the  threshold.   Where   eight  or  more  diverse
         species  have  been  studied,  procedures  for estimating  the fifth   --—
         percentile of response may be used, as  described in the Aquatic
         Life  Guidelines  (U.S.  EPA,  1984c),  as  long as   commercially
         important  species are protected.

    5.   Where  several  tests  have been  conducted  for  a given  species,
         results appearing to be outliers should  be disregarded.


    These  general  guidelines  should  be  applied  together with  careful  scien-

tific  judgment to  derive   toxicity  threshold  values  for  various  types  of

organisms.

4.1.4.   Human  Diet.  Humans  may be  exposed to  sludge-borne contaminants  in

crops  or animal products that have taken up  the contaminants  by the soil  or

diet,    respectively.   To   quantify   potential   dietary  exposures,   it  is

necessary  to estimate the  amounts  of various  types of foods  in the  human

diet.   The most up-to-date  and  detailed source  of information  regarding food
                                     4-23

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consumption  habits  of  the U.S.  population  is  the  FDA Revised Total  Diet
Study food list  (Pennington,  1983).   This list  is  based on combined results
of the  USDA  Nationwide  Food  Consumption Survey  (1977-1978)  and the  Second
National  Health   and  Nutrition  Examination  Survey  (1976-1980).    The  list
provides  average,  fresh-weight  consumption  data  for   over  200 foods  (201
adult foods;  33   infant/junior foods)  for eight age/sex groups  ranging  from
Infancy to 60-65  years of age.
    While  the  Pennington  (1983) food  list provides a  very detailed picture
of the  human  diet,  it cannot be used  in  its  published  form for risk assess-
ments of  the present type.   Many  of  the food items listed  are  complex  pre-
pared foods  (such as  soup, pizza), rather then  the raw commodities (such as
crops,  meats)  for which  contaminant  uptake  data  are available.  Therefore,
to  predict  the   impact  of   sludge  application  using   uptake   data,  it  is
necessary  to  reorganize  the  diet  to  determine the   respective  consumed
amounts of these   raw commodities.
    Two previous  efforts  have been made to reorganize  the  Pennington  (1983)
diet.   In  1981,  the U.S. EPA Office of Solid  Waste proposed an approach that
grouped  the  201   adult  foods into the 12 dietary categories   used   in  the
previous  FDA  Total  Diet  Study  food  list, for the  purpose  of estimating  the
amount  of  cadmium  in  the  typical   U.S. diet  (Flynn,  1981).    This  was
necessary  because metal  analyses for  foods on the  revised food  list were not
then available,  and  still are not.  These twelve  categories  include several
to which  uptake   data may be  applied  (such as grains'and cereals,  potatoes,
leafy  vegetables)  and  therefore  can  be  used  to estimate  the impacts  of
sludge  application  on  contaminant  amounts  in the  diet.   However,  the indi-
vidual  foods were not broken  down according  to  their  contents;  for example,
beef  and  vegetable  stew  was  listed  in the "meat,  fish  and poultry" group.
                                     4-24

-------
 In  addition, some  of  the listed items consist  largely of added water,  such
 as   canned,   reconstituted   bouillon   (also   listed   under  "meat,   fish  and
 poultry").   Therefore,  the  resulting  consumption values  for each  still did
 not  reflect  the  raw commodities.
     A  second  approach  was   presented in  the  draft  Air  Quality  Criteria
 Document  for Lead (U.S.  EPA, 1984b).  Here many of the  individual foods  from
 the  Pennington  (1983)  diet were fractionally apportioned  into different  food
 groups.   For example,  the  food item  "pancakes" was  apportioned as follows:
 60%  food  crops,  10% dairy and 30% meat,  representing  the contribution  from
 grains,  milk and  eggs,   respectively.  However,  the number of  food  groups
 employed  was too  few for   use  with   the  present  methodology;  that is,  all
 crops  were  lumped  into  a single category.   In  addition,  the apportionments
 were made not on the basis  of  weight  of  each ingredient as desired for this
 analysis, but on the basis of the amount of lead in each ingredient.
    Therefore, a  new analysis of the  Pennington (1983)  diet was required for
 this methodology.   Each  item  in  the  Pennington diet (including  the infant/
 junior  foods)  was  broken   down  into  its  components  based on  information
 available in  FDA  (1982)  and  USDA (1975).   The percentages of dry matter and
 fat  for each  component were  also listed.   These components  were then  aggre-
 gated  into  the  specific  commodity  groups required for  this  methodology.  A
 summary of consumption for each category  by each  age/sex  group  is presented
 in Table 4-2.  Data for the entire analysis are compiled in Appendix 1.
    The consumption  values  from  the   Pennington  (1983)  diet, and  therefore
 from Table  4-2  as well,  are  average  values  based  on 24-hour recall by  sur-
veyed  individuals.  Additional  statistics indicating the  range  of  consump-
tion values  for  the populations studied would also be  useful  for indicating
ranges  of exposure; this  information  was  not  given,  however.   Yost and Miles
(1980)  reanalyzed data  from  a 1965-1966 USDA survey  of  food  consumption  and

                                    4-25

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 presented   cumulative-percent  distributions  of   consumption   for   six   food
 groups.   These data,  shown in Table  4-3,  were  also from a  survey of 24-hour
 consumption recall.   The  data  show  that  for each  of  six  food groups,  con-
 sumption  at the  95th  percentile exceeds  the mean  by  a factor ranging  from
 3.6  (potatoes)  to 7.5 (root vegetables).
     These  factors indicate interindividual  variability on  a  given sampling
 day.   To   estimate  the  interindividual  variability  in   long-term average
 intake,  intraindividual  variability  over  several  sampling   days  must be
 known.  Sempos  et al.  (1985)  have shown that the  ratio of intraindividual to
 interindividual  variability (as  expressed  by the  ratio  of  the variances) is
 >1  for a  variety  of  dietary parameters.   For example, the ratios  for  four
 elements  (Ca,  Fe, Mg,  Zn)  were  1.2,  2.6, 1.3 and  2.4,  respectively.    This
 would  seem to  indicate  that  the variability associated with  1-day consump-
 tion  is  greater than that for  long-term  consumption.   Therefore,  the  95th
 and  99th  percentile values  given in Table 4-3  overestimate  those values for
 long-term  consumption.  Another  limitation of these higher percentile values
 is  that  they  cannot  simply  be  summed  to  predict total  dietary  response,
 since  no   single  individual  would  be  likely to  consume  all   affected  food
 items  in   95th- or  99th-percentile  amounts.  Matrix methods,   or  stochastic
methods such as  Monte Carlo  analysis, would  be required  for combining  these
values to  estimate total  dietary intakes representative of  the  95th or 99th
percentile (Yost et al.,  1980).
    Vegetarians  have  been viewed as a  group possibly  at  higher risk  from
land application  practices.   Ryan et  al.  (1982)  showed  that   under  certain
assessment scenarios,  cadmium intake  of  lacto-ovo-vegetarians  could  be  about
50%  higher than that  of the population  as  a  whole.  This was  determined by
comparing   the Loma Linda  lacto-ovo-vegetarian (LOV)  diet (Loma Linda Univer-
sity, 1978) with the 1974  FOA  Total  Diet  (after adjustment  of the  latter to

                                     4-27

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-------
 a comparable caloric basis).   Consumption  data from the LOV diet (as report-
 ed by Ryan  et  al.,  1982)  are presented in  Table  4-4.   Comparison of the LOV
 data with  fresh-weight consumption  data  for  25- to. 30-year-old males  from
 Appendix 1  shows  that LOV  consumption is  substantially  higher  for  several
 vegetable crop  categories  and lower for potatoes.
     The  Pennington  (1983)  data base  is  more  adequate  for most  features  of
 this analysis.   Therefore,  the  Pennington  data,   as  reanalyzed  here  (Table
 4-2),  will  be employed in the following criteria  derivation procedures.   If
 desired,  the results  may  be  adjusted  to  reflect  the LOV diet by  adjusting
 the  dry-weight consumption  values  for these categories  by the ratio of the
 fresh-weight values  shown  in  Table  4-4.
 4.1.5.    Health  Effects in  Humans.  An adjusted   reference  intake  (RIA,  in
 yg/day)  will be defined as  the increase in  dietary intake of a  contaminant
 that  is  used to  evaluate  the potential for  adverse effects on human health
 as  a  result  of   land  application  of  sewage  sludge.  That  is,  given  the
 practice  definitions and assumptions stated  previously  in this methodology,
 the  criterion for a  given sludge  contaminant  is   that  concentration in the
 sludge,  or  that application  rate  to land,  which  is  calculated  to result in
 dietary  intakes not  exceeding the RIA in exposed individuals.  To exceed the
 RIA  would  be a basis  for concern  that adverse health  effects  may occur in
 those individuals.
    The  RIA   is termed "adjusted"  because  it  is  a  health-based reference
 intake value  that  has  been adjusted from a  per-weight basis to a particular
 human  body  weight  and  also  to account  for contaminant  intake  from other
 sources.
    The  procedure  for  determining  RIA  varies   according  to  whether  the
pollutant acts by  a threshold or nonthreshold mechanism of  toxicity.
                                     4-29

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                                 TABLE 4-4
                 Food Consumption of Lacto-Ovo-Vegetariansa
          and Average 25- to  30-Year-Old Males  (selected  va1ues)b
      Food Group
                                    Consumption (g/dav fresh weight)
                           Lacto-Ovo-Vegetarians
                 25- to 30-Year-Old Males
Dairy products
Grains and cereals
Potatoes
Leafy vegetables,
root vegetables and
garden fruits
Legume vegetables
Fruits
Oily fats, shortening
Sugars and adjuncts
Beverages
Meat, fish and poultry
584
203
 43
252

166
284
107
110
600
  0
193
 68
107

 50
aSource: Loma Linda University, 1978
^Source: Pennington, 1983, as reanalyzed in Appendix 1 (see Table Al-2)
                                     4-30

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     4.1.5.1.    THRESHOLD-ACTING   TOXICANTS — Threshold  effects  are  those
 for  which a safe (subthreshold)  level of  toxicant  exposure  can  be estimated.
 For  these toxicants, RIA  is derived as follows:
                      RIA = [(RfD x bw/RE)  - TBI] x 103                 (4-14)
 where:
        RIA = adjusted reference  intake (yg/day)
        RfD = reference dose (mg/kg/day)
        bw  = human body weight (kg)
        TBI = total background intake rate  of pollutant  (mg/day)  from
             all other sources of exposure
        RE   = relative effectiveness of ingestion exposure (unitless)
        103 = conversion factor (pg/mg)

 The  definition  and  derivation of each of the parameters used to estimate RIA
 for  threshold-acting  toxicants  are  further  discussed  in  the  following
 sections.
    4.1.5.1.1.    Reference  Dose  (RfD)  -- When  toxicant   exposure   is   by
 ingestion,  the  threshold  assumption  has  traditionally been used to establish
 an "acceptable  daily intake," or ADI.  The Food  and  Agricultural  Organiza-
 tion and  the World  Health Organization have defined ADI as "the daily intake
 of  a  chemical  which,  during  an  entire   lifetime,  appears  to be  without
 appreciable risk  on the  basis  of all the known  facts at  the  time.   It  is
 expressed  in milligrams of  the  chemical  per kilogram of body weight (mg/kg)"
 (Lu,  1983).  Procedures for  estimating the ADI from various  types of  toxico-
 logical data were outlined  by the U.S. EPA in 1980 (Federal  Register,  1980).
More recently the Agency  has  preferred the use of  a new term, the "reference
dose,"  or  RfD,  to  avoid the  connotation  of  acceptability,  which is  often
controversial.
                                     4-31

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    Values of RfD  for  noncarcinogenic or systemic toxicity have been derived
by several  groups  within  the  Agency.  An  effort is currently  under  way  to
corroborate these  values  and  to produce a master list of RfDs for use by the
various  Agency  programs.   Most   of  the  noncarcinogenic  chemicals  that
currently are  candidates  for  sludge  criteria for the  land  application  food
chain pathways are included  on the Agency's RfD list, and thus no new effort
will  be  required  to establish RfDs  for  deriving sludge  criteria.   For any
chemicals  not   so  listed,   RfD  values  should  be  derived  according  to
established Agency procedures (U.S. EPA, 1987b).
    4.1.5.1.2.    Human   Body Weight  (bw) — The  choice  of  body weight  for
use in risk assessment  depends on the  definition of  the individual  at risk,
that  in  turn depends on exposure and  susceptibility to adverse effects.   The
RfD  (or  ADI)  was  defined  before  as  the  dose on  a  body-weight basis  that
could  be safely  tolerated over  a lifetime.   Food  consumption on a  body-
weight  basis   is  substantially  higher  for  infants  and  toddlers  than  for
teenagers or adults.   Certain  behaviors,  such as mouthing  of  dirty objects
or direct  ingestion of soil,  which  could  also contribute  to  exposure,  are
also  much  more  prevalent  in  children  than  adults.   Therefore,  infants  and
toddlers would  be  at greater  risk of  exceeding an RfD when  exposure  is  by
food  or  soil ingestion.   However,  the effects on which  the RfD is  based may
occur after a cumulative  exposure  period,  in some  instances  approaching the
human lifespan.  In these cases,  it may be reasonable to base the derivation
of criteria upon adult  values  of bw.    In  cases  where effects have  a shorter
latency  (<10 years)  and where children  are  known to be at  special  risk,  it
may be more appropriate to use values  for toddlers or infants.
    4.1.5.1.3.    Total   Background   Ingestion  Rate  of Pollutant  (TBI) — It
is  important  to  recognize that sources  of exposure  other than the  sludge
                                     4-32

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 reuse  or disposal practice may exist,  and  that the total  exposure  should be
 maintained  below  the  RfD.   Other  sources'  of exposure  include background
 levels  (whether natural  or  anthropogenic)  in  drinking water,  food or air.
 Other  types  of exposure that are due to occupation or  habits  such as smoking
 might  also   be   included  depending  on  data  availability   and  regulatory
 policy.   These exposures are summed to  estimate TBI.
     Data   for  estimating  background  exposure  usually   are derived  from
 analytical  surveys of  surface,  ground or tap  water,  from FDA market basket
 surveys  and  from air-monitoring surveys.  These  surveys  may report means,
 medians,  percentiles  or  ranges,  as  well as  detection  limits.  Estimates of
 TBI  may  be based  on  values representing central tendency or on upper-bound
 exposure   situations,   depending   on   regulatory  policy.   Data  chosen  to
 estimate  TBI  should be  consistent with the  value of  bw.  Where background
 data are  reported  in  terms of a  concentration  in  air or water, ingestion or
 inhalation  rates  applicable to  adults  or children  can be  used  to estimate
 the  proper  daily  background  intake value.   Where data  are reported as total
 daily dietary intake  for adults and similar values for children are unavail-
 able, conversion  to an  intake for children may be  required.   Such a conver-
 sion  could  be estimated  on  the basis  of  relative  total  food intake  or
 relative total caloric intake between adults and children.
    As stated in  the  beginning of this  subsection,  the  TBI is  the  summed
 estimate  of   all  possible background  exposures,  except exposures  resulting
 from a  sludge  disposal  practice.   To  be more exact,  the  TBI  should be  a
 summed total  of  all  lexicologically  effective intakes  from all  nonsludge
 exposures.  To determine  the  effective TBI,  background  intake  values  (BI)
 for each  exposure  route  must  be divided by that route's  particular relative
effectiveness   (RE) factor.   Thus, the TBI  can be  derived  after  all  the
background exposures have been determined, using the  following equation:
                                     4-33

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Tnr /  ,,,  x
TBI (mg/day) =
BI (food)   BI (water)   BI (air)
RE (food) + RE
                                                           BI (n)
                                                           RE
(4-15)
where:
      TBI = total  background  intake  rate of  pollutant from  all  other
            sources of exposure (mg/day)
      BI  = background intake of  pollutant  from a given exposure route,
            indicated by subscript (mg/day)
      RE  = relative  effectiveness,  with  respect to  dietary  exposure,
            of the exposure route indicated  by subscript (unitless)
    When  TBI  is  subtracted  from  the  weight-adjusted  RfD,  the  remainder
(after  adjusting for RE)  defines the increment that  can  result from sludge
disposal without  exceeding  the  threshold.  If upper-bound data (such as 95th
percentiles)  were  used  to  estimate  TBI,   then  an   increase  in  exposure
corresponding  to  this  increment, if  realized,  would cause  the RfD  to  be
approached or  exceeded  in  a relatively small  percentage  (5%)  of the exposed
population.   If   central-tendency  data  (the  median)  were used  to  estimate
TBI,  such  an  increase would  cause the  RfD  to be approached  or exceeded  in
about half  of  the exposed population.   If TBI were set at zero  for lack  of
exposure  data,  the  allowed  increase  resulting  from   sludge  disposal  would
result  in an  unknown  degree of exceeding the RfD, depending on whether other
sources of exposure exist.
    4.1.5.1.4.   Relative  Effectiveness  of  Exposure  (RE) —  RE  is  a  unit-
less  factor  that shows  the relative toxicological effectiveness  of  an  expo-
sure  by a  given  route when compared with another route.  The value of RE may
reflect  observed   or  estimated  differences  in   absorption  between  the
inhalation  and  ingestion  routes  that can then significantly  influence  the
quantity of  a chemical  that  reaches  a particular target  tissue,  the length
of  time  it takes  to  get there,  and  the degree and duration  of the effect.
The  RE  factor may also reflect  differences  in  the  occurrence  of  critical
                                     4-34

-------
 toxicological   effects   at  the  portal  of   entry.    For  example,  carbon
 tetrachloride  and  chloroform were  estimated  to be 40  and 65% as effective,
 respectively,  by inhalation as by  ingestion  based  on absorption differences
 (U.S. EPA,  1984e,f).   In addition to route differences,  RE can also reflect
 differences  in  bioavailability  due to  the  exposure matrix.   For  example,
 absorption of  nickel  ingested  in water has been estimated to be 5 times that
 of nickel  ingested in diet  (U.S. EPA,  1985d).   The presence of  food  in the
 gastrointestinal tract may delay absorption  and reduce  the  availability of
 orally administered compounds,  as demonstrated for halocarbons (NRC,  1986).
     Physiologically based  pharmacokinetic  (PB-PK)  models have evolved  into
 particularly  useful  tools  for  predicting disposition  differences  due  to
 exposure route differences.  Their  use  is  predicated  on  the  premise  that an
 effective (target-tissue) dose achieved by one  route  in a particular species
 is  expected to be  equally  effective when  achieved by another exposure  route
 or  in some other species.   For  example,  the  proper measure of  target-tissue
 dose  for a chemical with pharmacologic  activity would be  the tissue concen-
 tration  divided  by  some  measure  of  the receptor binding constant for  that
 chemical.   Such models account  for  fundamental  physiologic and biochemical
 parameters  such as  blood  flows, ventilatory parameters, metabolic capacities
 and  renal clearance, tailored  by the physicochemical  and biochemical prop-
 erties of the  agent  in  question.  The behavior of  a  substance administered
 by  a  different exposure  route  can  be determined  by  adding  equations  that
 describe  the  nature of  the  new  input  function.  Similarly,  since  known
 physiologic  parameters  are  used,  different species (e.g., humans vs.  test
 species)   can  be modeled  by replacing the appropriate constants.   It should
 be emphasized  that  PB-PK models  must be used  in conjunction with  toxicity
and mechanistic  studies  to  relate  the effective  dose  associated  with  a
certain  level  of  risk   for  the  test   species  and   conditions   to  other

                                     4-35

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scenarios.   A  detailed  approach for  the  application  of  PB-PK models  for
derivation of  the RE  factor is beyond  the scope of this  document,  but the
reader  is referred  to the  comprehensive  discussion  in  NRC  (1986).   Other
useful  discussions  on considerations necessary when  extrapolating  route to
route are found in Pepelko and Withey (1985) and Clewell and Andersen (1985).
Since most  exposures  in  this  group of  pathways  occur by  food consumption,
the  RE   factors  applied  are  all   with  respect  to  ingestion  in  food.*
Therefore, the  value of  RE in Equation 4-14 gives the relative effectiveness
of  the   exposure  route and  circumstances  on  which  the  RfD was  based  when
compared  with   food.   Similarly, the  RE factors  in  Equation  4-15  show the
relative  effectiveness, with respect to exposure in food, of each background
exposure  route and matrix.
    An  RE factor should  be applied  only where  well  documented/referenced
information   is   available   on   the   contaminant's   observed   relative
effectiveness   or  its  pharmacokinetics.    When  such  information  is  not
available, RE is  equal to  1.
    4.1.5.2.    CARCINOGENS — For    carcinogenic    chemicals,   the   Agency
considers the  excess  risk of  cancer to be linearly  related to dose (except
at  high  dose  levels)  (Federal   Register,  1986a).   The threshold assumption,
therefore,  does  not  hold,  as  risk  diminishes with dose  but does not become
zero  or background until dose becomes zero.
    The decision whether  to treat  a  chemical  as a threshold- or nonthresh-
old-acting  (carcinogenic)  agent depends on the  weight of  the evidence that
it  may  be  carcinogenic  to  humans.   Methods  for  classifying chemicals as to
their  weight  of  evidence  have been  described  by  the  U.S.  EPA  (Federal
 *The  only exception is exposure  from  soil  ingestion.   In  this  case  RE  values
  should  take  into  account  the  soil  matrix  if  supporting data  are available.
                                      4-36

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 Register, 1986a),  and  most  of  the chemicals  that presently are  candidates
 for  sludge   criteria  have  recently  been  classified   in  Health  Assessment
 Documents or  other reports prepared by  the U.S.  EPA's Office of  Health  and
 Environmental Assessment  (OHEA),  or  in  connection with  the development  of
 Recommended    Maximum   Contaminant   Levels   (RMCLs)    for   drinking   water
 contaminants (Federal  Register,  1985).   To  derive values  of RIA,  a  decision
 must be made as  to which  classifications constitute sufficient  evidence  for
 basing a  quantitative  risk assessment on a presumption of  carcinogenicity.
 Chemicals in classifications A and  B,  "human carcinogen" and "probable  human
 carcinogen,"  respectively,  have  usually  been   assessed   as   carcinogens,
 whereas  those  in  classifications  D and  E,  "not classifiable  as to  human
 carcinogenicity  because of  inadequate  human and  animal data" and "evidence
 of  noncarcinogenicity  for  humans,"  respectively,  have  usually been  assessed
 according  to threshold effects.  Chemicals  classified  as  C,  "possible  human
 carcinogen,"   have  received   varying  treatment.   For  example,   lindane,
 classified  by  the  Carcinogen  Assessment  Group  (CAG)  of  the  U.S.   EPA  as
 "B2-C,"  or between  the  lower range of the B  category and  category C, has
 been  assessed both  by  using the linear model  for tumorigenic effects  (U.S.
 EPA,  1980b)  and  based  on threshold effects  (Federal  Register,  1985).   Table
 4-5  gives  an  illustration  of  these  EPA  classifications  based  on  the
 available weight of evidence.
    The  use  of  the weight-of-evidence classification, without  noting the
 explanatory  material  for a  specific  chemical,  may lead to a flawed  conclu-
 sion  since  some  of  the  classifications  are  exposure   route   dependent.
 Certain  compounds  or   elements,  such  as  nickel,  have been  shown  to  be-
 carcinogenic  by  the  inhalation  route  but  not   by   ingestion  (U.S.  EPA,
 1985d).   Similarly,  arsenic  has  been  shown to cause  carcinogenic  effects
when  certain inorganic  forms are  ingested in  water,   but   no carcinogenic

                                     4-37

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                                 TABLE 4-5

            Illustrative  Categorization  of  Carcinogenic  Evidence
                      Based on Animal and Human Data*
Animal Evidence
Human
Evidence

Sufficient
Limited
Inadequate
No data
No evidence

Sufficient

A
Bl
B2
B2
B2

Limited

A
Bl
C
C
C

Inadequate

A
Bl
D
D
D

No Data

A
Bl
D
D
D

No
Evidence
A
Bl
D
E
E
*The above  assignments are  presented  for  illustrative  purposes.   There may
 be nuances  in the  classification  of  both animal and  human  data  indicating
 that  different categorizations  than  those  given  in  the  table  should  be
 assigned.  Furthermore, these  assignments are tentative and may be modified
 by ancillary  evidence.  In  this regard  all  relevant  information  should be
 evaluated to  determine if  the designation of the overall weight of evidence
 needs to be  modified.  Relevant factors  to be included along with the tumor
 data from human and animal studies include structure-activity relationships,
 short-term test  findings,  results  of  appropriate physiological, biochemical
 and  toxicologies!   observations,  and  comparative  metabolism  and  pharmaco-
 kinetic  studies.   The nature  of these findings may cause  an adjustment of
 the overall categorization of the weight  of evidence.
                                     4-38

-------
 potential  has  been demonstrated  for the  organic  forms normally  present in
 many  foods  (U.S.  EPA,  1984a).  The issue of whether or not to treat an agent
 as carcinogenic by ingestion remains controversial for several chemicals.
     If a  pollutant  is  to be assessed according to nonthreshold, carcinogenic
 effects,  the  adjusted   reference  intake,  RIA  (in  yg/day),  is  derived  as
 follows:
                         RIA =
 where:
                                   x BW
                                    x RE
                                 - TBI
X 103
                                                                        (4-16)
RIA
Ql*
RL
BW
RE
TBI
              adjusted  reference intake (pg/day)
              human  cancer potency [(mg/kg/day)-i]
              risk  level  (unitless)  (e.g.,  10-s,  10-*,  etc.)
              human  body  weight  (kg)
              relative  effectiveness  of ingestion exposure  (unitless)
              total  background intake  rate  of pollutant  (mg/day); from
              all other sources  of exposure
        103 = conversion factor  (yg/mg)

The  RIA,  in  the case of carcinogens, is thought to be protective recognizing
that  the  estimate  of  carcinogenicity is an upper  limit  value.   The defini-
tion  and  derivation  of each  of  the parameters  used to  estimate  RIA for
carcinogens are further discussed in the following sections.
    4.1.5.2.1.   Human   Cancer   Potency   (q *) — For   most   carcinogenic
chemicals,  the linearized  multistage model  is  recommended  for  estimating
human  cancer  potency  from  animal  data  (Federal  Register,  1986a).   When
epidemiological  data  are   available,  potency  is  estimated  based  on  the
observed  relative   risk  in  exposed  vs.  nonexposed individuals,  and on  the
magnitude  of  exposure.  Guidelines  for  use of these procedures have  been
presented  in  the  Federal  Register  (1980,  1985) and  in  each  of a series  of
                                     4-39

-------
Health Assessment Documents  prepared  by OHEA (such as U.S.  EPA,  1985c).   The
true  potency  value  is  considered  unlikely  to  be  above  the  upper-bound
estimate of  the  slope  of the dose-response curve  in  the low-dose range,  and
it  is  expressed in  terms  of  risk-per-dose,  where dose  is  in  units  of
mg/kg/day.   Thus,  q^   has  units  of  (mg/kg/day)"1.    OHEA  has  derived
potency  estimates for  each  of  the  potentially carcinogenic  chemicals  that
currently are  candidates  for sludge criteria.  Therefore, no new effort will
be required  to develop potency estimates to derive sludge criteria.
    4.1.5.2.2.   Risk  Level  (RL) — Since  by  definition   no  "safe"  level
exists  for  exposure  to nonthreshold agents,  values of  RIA  are calculated to
reflect  various  levels  of cancer risk.  If  RL is  set at zero, then RIA will
be  zero.   If  RL is  set at 10"6,  RIA will  be the  concentration  that,  for
lifetime  exposure,  is  calculated  to have an  upper-bound cancer  risk of one
case  in one million  individuals exposed.   This risk level  refers  to excess
cancer  risk, that is, over  and  above the background  cancer  risk  in unexposed
individuals.   By varying RL, RIA may  be calculated for any level of risk in
the   low-dose  region,  that  is, RL <10~2.   Specification   of  a given  risk
level  on which to base  regulations  is  a  matter of policy.  Therefore, it is
common   practice  to  derive  criteria   representing   several  levels  of  risk
without specifying any  level as  "acceptable."
    4.1.5.2.3.    Human  Body  Weight  (bw)  -- Considerations  for  defining bw
are  similar to  those stated in Section 4.1.5.1.2.   The CAG assumes a value
of  70  kg  to  derive  unit   risk  estimates  for air  or  water.   As discussed
previously, ingestion  exposures may  be  higher in  children  than  in adults
when  expressed  on  a body-weight basis.   However, if  exposure   is  lifelong,
values  of bw are usually chosen  to  be  representative  of  adults.
                                      4-40

-------
     4.1.5.2.4.   Total  Background   Intake   Rate  of  Pollutant  (TBI) — As
 discussed  in  Section 4.1.5.1.3.,  it is important to  recognize  that sources
 of  exposure  other than the  sludge  reuse  disposal  practice  may exist.   The
 total exposure  to a  given  pollutant should  be maintained  below the deter-
 mined cancer risk-specific exposure level (RL).
     4.1.5.2.5.   Relative   Effectiveness  of  Ingestion  Exposure  (RE) — In
 some cases  potency  estimates have been  derived on  the basis of  a  different
 type of  exposure than  may  occur from  food-chain  contamination.   In  these
 cases,  the  use  of RE  for carcinogens  is  similar to that described earlier
 for threshold-acting toxicants  (see  Section 4.1.5.1.4.).   As stated  in  that
 section,  an RE  factor should only be applied  where well documented/refer-
 enced   information   is  available   on the   contaminant's   observed   relative
 effectiveness   or  its  pharmacokinetics.   When  such  information   is   not
 available,  RE  is  equal to  1.
 4.2.   SLUDGE-SOIL-PLANT-HUMAN TOXICITY EXPOSURE PATHWAY
 4.2.1.   Assumptions.   In  addition  to   many  of  the  assumptions  listed in
 Table  4-1,  some additional assumptions  relating to  relative  uptake  response
 of  crop  food  groups  and  percent of  diet affected by sludge  application are
 made  for  this  pathway.  These assumptions  and  their  potential ramifications
 are summarized in Table 4-6 and further discussed in the following text.
 4.2.2.   Calculation Method.
    4.2.2.1.   CATEGORY 1  CONTAMINANTS —
    4.2.2.1.1.    Procedure Based  on  Curvilinear ("Plateau")  Uptake Response
Model and  Relative Uptake Response Values — Criteria for inorganic pollu-
tant concentrations in sludge  applied to land where  crops  for human consump-
tion are  grown  may  be  calculated using a  curvilinear  response model  and
relative response  values,  if  sufficient  data are available.  The procedure
                                     4-41

-------
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                                                             4-42

-------
 for deriving  criteria  for a given contaminant is summarized in Table 4-7 and
 described in detail as follows:
 steP A-	Determine Relative Uptake Response Values for Each Crop
     Relative response values  for  the  metal at hand  should  be  determined for
 as many  crops as permitted by the  available data.  As discussed  in  Section
 4.1.2.1., relative response is  determined  within and not across  studies  and
 is determined with respect  to  an  index crop that is  both  sensitive (in  terms
 of response) and frequently studied.   (Lettuce  is an example of a crop  often
 meeting these criteria.)   The index crop  should  also  be  one for  which  data
 showing  a  plateau  are  most   widely   available   (see  Step D).   A relative
 response  value for  crop A  would be determined  as  follows:
                                        EA
                                        UCi
                                  (4-17)
where:
       RUAI = uptake response for crop A relative to index crop
              (unitless)
       UCA  = linear uptake response slope of crop A (yg/g [kg/ha]-*)
       UCi  = Linear uptake response slope of index crop in the same
              experiment in which UCA was measured
    Some  studies  (Davis  and  Carl ton-Smith,  1980;  Carlton-Smith  and  Davis,
1983)  showing  the  response of  multiple  crops  to different  sludge-amended
soils do  not report  contaminant  application rates and, therefore,  values  of
the  linear response  slope  UC  cannot  be  calculated.   However,  if  tissue
levels for  crops  A and  I were  both  measured in  two  different  soils,  then
RUA]. can be estimated as  follows:
                               RUAI  =
A2 ~ AT
12 - II
(4-18)
                                    4-43

-------
                             TABLE 4-7

Summary of Criteria Derivation  Procedure Based on Curvilinear Uptake
         Response Model and Relative Uptake Response Values
Step
A

B

C

0

E

F
Description
Determine relative uptake response values for
each crop
Determine relative uptake response values for
each food group
Determine the reference tissue concentration
increment (RTI) for the index crop
Sort available uptake response data for the
index crop
Determine plateau increment values (PI) for the
index crop
Determine reference sludge concentration (RSC)
Text Page
4-43

4-45

4-46

4-47

4-48

4-48
G
not causing reference tissue concentration
increment (RTI) to be exceeded

Check the reference sludge concentration (RSC)
by substituting other crops for the index crop
                                                                   4-49
                                  4-44

-------
 where  A?  denotes tissue  concentration of  crop  A  in  soil  2,  and  so forth.
 As  a  practical matter, this  procedure should  only be used when  it. is clear
 from the  data  that  the contaminant concentration  is  substantially  higher in
 soil  2  than   in  soil  1,  so  that  the  difference  between  I  and  I   is
 meaningful.  A  control soil, if used,  is  the  best choice for  soil  1.  This
 procedure was  used in U.S. EPA (1987a).
     Uptake response  relative to the  index  crop should be determined  for as
 many crops as  possible.   Where  more  than one  relative  response value can be
 determined for  one  crop,  a  value  determined  under high-response  conditions
 (such  as at low  pH)  should  ordinarily  be  selected  as a  conservative  measure.
 If a given crop  (A)  has not been studied  in the  same experiment as the index
 crop (I),  but  has been co-studied with another  crop (B) for which  response
 relative to  the  index  (RUgI)  has  been  determined, relative  response  for
 crop  A  (RUAI)  can  be  estimated  as  follows:
                              RUAI -  RUBI X RUAB
(4-19)
where  RUAg  is  uptake  response of crop A  relative to crop B.
steP B-—Determine Relative Uptake Response Values for Each Food Group
    Once  relative  response  has  been  determined  for  as  many  crops  as
possible, these crops  should  be  divided into the crop  food  groups shown in
Table  4-2.   A  single  relative response  value should be assigned to each food
group  in  most  instances.   This value may be determined as a weighted mean of
all the  available response  values  where weighting is according  to the dry-
weight consumption  of each crop.   Where there are no response  values  for a
particular  crop,  care  should  be  taken  in   assigning  values  so that  the
response  value  is from a  closely related  crop.   If the data do  not permit
determination of a weighted  mean,  an unweighted mean may  be  taken, or to be
conservative the  highest  single value  may  be chosen to represent  that food
group.
                                     4-45

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    If the  data  indicate that a food  group  consists of some crops  that  are
relatively  high  accumulators  and  some  that are  relatively  low  (such  as
lettuce,   spinach  and  chard  vs.  cabbage and  the other  coles  in the  leafy
vegetable food group), then  it may be worthwhile to subdivide the food group
on  this   basis.   If  no  relative   response  value  can  be  determined for  a
particular  food  group,  the  highest  value  for  any  of  the  other comparably
responsive food groups should be assigned to that group.
Step  C.   Determine  the  Reference  Tissue  Concentration Increment  (RTI)  for
the Index Crop
    Once  a  relative  response  value has been determined  for each food group
potentially  affected  by  sludge application, the response  values  are coupled
with  the dry-weight  consumption  values for  each   group.   In this manner,
total  dietary  response to sludge application can be related to  the  response
of  the  index  crop.   A  reference  tissue concentration  increment  (RTI,  in
yg/g  DW) based  on  human  health  effects and  fraction  of  diet  affected  can
then  be  determined  for the index crop:
                                       RIA
                       RTI =
                                 (RUi x  DCi x  FCi)
(4-20)
where:
        RIA  =  adjusted  reference  intake  (yg/day)
        RUi  =  relative  uptake  response for  ith  food  group  (unitless)
        DCi  =  daily  dietary  consumption  of  ith  food  group  (g  DW/day)
        FCi  =  fraction  of  food group  assumed  to originate  from sludge-
              amended soil (unitless)
 Reference intake, RIA, is  derived based  on  health effects  data  as  discussed
 1n Section 4.1.5.  RTI,  as derived  from  Equation 4-20,  is  the tissue  concen-
 tration  increase for  the  index  crop  that,  if  exceeded, indicates that  the
 health-based  intake level used to derive  RIA will be  exceeded.
                                      4-46

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 Step D.   Sort Available Uptake Response Data for the Index Crop
     The  available  response  data  for  the indicator  crop should be  grouped
 according  to whether soil  pH was  <6.0 or >6.0,  and  according to whether the
 plateau  was observed in  the  first year of sludge application  or over several
 years.   If  criteria  are  to  be  derived  based on  the  assumption  (or  the
 requirement)  that pH  will  be  maintained  >6.0 in sludge-amended  soils  where
 food crops  are grown,  then  studies  with  pH  <6.0  should not  be  used  for
 derivation  of criteria.  If  soil  pH will  not  necessarily  be maintained  >6.0,
 then studies with  pH  <6.0  should  be   used  as a conservative measure,  since
 these  studies  normally  show higher  metal  uptake.    This procedure differs
 from the existing  approach  (40 CFR  257.3-5)  of  using  pH 6.5 as the cutoff
 between  different  permissible application  rates.   The  Las  Vegas  workshop
 report   (U.S.  EPA,  1987) concludes that plant  response  to  metals  is  not
 significantly   increased  when  the  soil  pH  (as  determined  using  a   1:1
 soil-water  suspension)  decreases  from 6.5 to 6.0  (although  it may increase
 at  pH <6.0).   The  report  further  concludes  that  the  use  of  soil  cation
 exchange  capacity  (C.E.C.)  as a  basis  for  determining  metal  application
 limits  is  not  supported  by  current evidence.   Therefore, no  difference in
 approach based  on  C.E.C.  is  recommended here.   The  use  of this methodologic
 approach should  be  conditioned upon acceptance  of the  final  workshop report
 by  the  workshop  participants  and  other scientists  knowledgeable   in  this
 field.
    That report  also indicates that data  based  on the  first  year of sludge
application  will  tend  to  show  higher  response rates  and   higher  plateau
values than  data from  annually repeated  sludge  additions.  It  is  unlikely
that any individual  would be exposed,  year after  year,  to crops grown imme-
diately  following  a  first  application of sludge, and therefore  basing  risk
assessments  solely  on  first-year  data  may be  unreasonable.   On the  other

                                     4-47

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hand, some  exposure  to  such  crops would  presumably occur.  In the  case  of
chronic exposure this would  not be a problem.   However,  for acute exposure,
separate criteria calculations  should  be carried out based on first-year and
multi-year application to determine the potential range of results.
Step E.  Determine Plateau Increment Values (PI) for the Index Crop
    All available response data in the  index crop  for the metal at hand for
the  groups  identified   in  Step  D  should  be   examined  to  determine  which
studies show  a  plateau  for tissue concentration.   As  suggested  earlier (see
Section  4.1.2.1.2.),  the  plateau value  (P,  in  vg/g  DW) may be  determined
using  nonlinear regression  and estimation  of  confidence limits  around the
asymptote.  A value  derived  from P will  be  used in subsequent calculations,
e.g.,  the plateau increment  value,  PI  (in  yg/g  DW),  which is  the  plateau
value  (P)  minus the  background tissue concentration  (BC)  for the experiment
in which P was  determined.
Step   F.    Determine  Reference   Sludge  Concentration  (RSC)   Not  Causing
Reference Tissue Concentration  Increment  (RTI) to be Exceeded
     For  each  grouping of  plateau data described in Step  D  above, it should
be  determined whether a  reference sludge  concentration (RSC) can be identi-
fied  that gives  a  plateau  increment  (PI) not  exceeding the RTI.   To make
such  a  determination,   several  steps   are  necessary.   First,   it  must  be
demonstrated  that all sludges  with metal concentration  at  or  below the RSC
always  result  in tissue concentration  increments  below  the   RTI   in all
available  sludge-field   studies  within  that  grouping,  regardless   of the
sludge  (or contaminant)  application  rate.  This  finding must  hold  true  in
studies  that do  not show a  plateau,  as  well  as  those that do.  Second, an
adequate  number  of   studies  must be  available  to clearly  demonstrate the
relationship  between  sludge  concentration  and  plateau  increment  (PI),  so
that there can be  a high  degree of confidence  that  the use of  a different

                                     4-48

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 sludge or soil will  not  result in exceeding the  RTI.   This methodology will
 not attempt  to define the  number or  quality  of  studies  necessary to  make
 this  determination;   the  validity  of  a  derived  value  of  RSC  should  be
 determined by expert  peer  review.
     Studies  at soil  pH <6.0  may be used to help  validate an  RSC  for soil  pH
 >6.0,  but the  reverse does  not apply.   Similarly,  first-year studies  may  be
 used to validate an  RSC for  multi-year applications, but the reverse  should
 not be done.
 steP  6-	Check  the  Reference Sludge  Concentration (RSC)  bv  Substituting
 Other  Crops for the Index  Crop
     According to  the  relative  response  hypothesis,  it  should  be possible  to
 use any crop  as the  index crop and arrive at about the  same  value for  RSC.
 Thus,  RSC can  be  checked  against  other crops,  even if  plateau  data are not
 available  for  those  crops.    To  do  so,  RTI$  for  the  substitute  crop  is
 first  determined as follows:
                             RTI  - RTI  x RU
                                ^      1
(4-21)
where:
       RTIS = reference tissue concentration increment for substitute crop
              (yg/g DU)
       RTIi = reference tissue concentration increment for index crop
              (vg/g DM)
       RU$i = uptake response in substitute crop relative to index crop
              (unitless)
Steps  D-F are then  repeated using  data  for the  substitute crop.   If  data
showing a  plateau  are  not found, it can  still  be  determined from the avail-
able  data whether  application   of  sludge at  or below  RSC  ever  results  in
tissue  concentration  increments  exceeding   RTI .    If  so,  RSC  should  be
                                                 O
revised downward  so that RTI$ is not exceeded.
                                     4-49

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    RSC should  be tested  in  this manner  using all crops  for which  RU  has
been determined.   If RU  for  a given  food group was  derived as  a  weighted
mean (see  Step B, above),  then  RTI   may be  exceeded  for certain  crops in
                                    O
that food group.  However, the following condition should hold:
                                  TIs
                                 RTIS ~ RUG
                                                                       (4-22)
where:
               highest  tissue concentration  increment  (i.e.,  increase
               above  background)   observed   in  substitute  crop  when
               sludge having concentration 
-------
                                  TABLE 4-8

       Relationship Between the Experimental Basis  for Reference Sludge
     Concentration (RSC) and Rules Governing Use of Sludges Meeting RSC*
          Data Used To
          Generate Limit
                                                 Soil pH
                                 >6.0 and/or <6.0
                                                           <6.0 only
        Multi-year and/or
        first-year

        First-year only
A.


B.


C.


D.
Applies  to  cumulative application  if  soil  pH  will remain  >6.0 without
liming.  Separate, annual application limit applies.

Applies  to  cumulative  application.   The pH requirement is dependent upon
data.  Separate, annual application limits apply.

Applies  to  cumulative application  if  soil  pH  will remain  >6.0 without
liming.  Separate, annual application limit not required.

Applies  to  cumulative  application.   The pH requirement is dependent upon
data.  Separate, annual application limit not required.
*For explanation, see text.
                                     4-51

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studies  in  which  RSC was  determined.   That  is,  even though annual  appli-
cations  of  sludge with a  concentration of  metal  X of 10  pg/g  never caused
RTI to be exceeded  when  10 t OW/ha of sludge was applied  over several years,
it cannot be  assumed  that  a single application  of  50  t OW/ha will  not cause
it to  be exceeded.   Therefore,  an annual  contaminant application  limit  of
(10  t  OW/ha  x  10  yg/g)  0.1  kg/ha should  apply in this  case,  although  no
cumulative  limit  is needed. Alternatively,  the  annual  application  limit  may
be based on the procedure using the linear model (see Section 4.2.2.1.2.).
    When crops  for human  consumption  are grown on agricultural lands  that
have received sludge,  liming  is  often practiced to  maintain  soil  pH >6.0 so
as to  lessen uptake  of  metals.    However,  it cannot  be assumed  that liming
will continue after  the   land  is  sold  to another  farmer or developed  for
residential   use,  since  there  is  no  requirement that   future  owners  be
informed of  sludge  applications.   Therefore,  it is recommended that criteria
based  in whole or  in part on  data from soils  of pH  >6.0  be employed  only
where  soils  are  expected  to  remain  at pH  >6.0  even when  liming  is  not
practiced.   Similarly,  if   RSC is  derived  using data  from  soils at  pH >6.0,
sludges  meeting  this  RSC  value could  be applied without  cumulative  applica-
tion limits  as  long as soil pH was expected to remain >6.0.  If  based  only
on soils with pH  <6.0,  the pH requirement  would  be  that  of  the  data used.
For  example,  if the  pH  of the  study used  was  5.5 there would be  a pH  5.5
requirement.
    4.2.2.1.2.   Procedure  Based   on  Linear   Uptake Response   Model   and
Relative  Uptake  Response  Values —  Criteria  based  on   the  assumption  of
linear uptake (as  opposed  to  curvilinear uptake)  will also  be  required  for
use  in the  following  situations:   1)  if the  available data are  insufficient
to  support  derivation  of   RSC  values;  2)  if RSC  for acid soils cannot  be
                                     4-52

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 derived  and  pH maintenance  is not  viable;  or 3)  to  govern application  of
 sludges  that do  not meet  RSC.   The criteria  derivation procedure based  on
 linear uptake  is  summarized  in Table  4-9 and  described in detail in  later
 sections.
 Step  A.  Determine  Relative Uptake  Response Values  for  Each  Crop
    This  step  is  the same as  described  for  the curvilinear model  procedure
 in  Section  4.2.2.1.1.
 Step  B.  Determine  Relative Uptake  Response Values  for  Each  Food Group
    This  step  is  the same as  described  for  the curvilinear model  procedure
 in  Section  4.2.2.1.1.
 steP  C.	Determine  the  Reference   Tissue  Concentration Increment  (RTI)  for the
 Index  Crop
    This step  is the same as described  for  the curvilinear model procedure
 in  Section  4.2.2.1.1.
 Step D.  Sort Available Uptake Response Data for the Index Crop
    This step is the  same as described  for  the curvilinear model procedure
 in  Section  4.2.2.1.1.
 Step E.  Determine Appropriate Uptake Response Slopes for the Index Crop
    The highest valid  uptake  slope  for each of the categories established in
 Step  D  should  be   identified.   That  is, field  studies  where   sludge  was
 applied  should  be  considered  to  provide the  most  valid   information;  pot
 studies with  sludge  should  be used  where  the  latter are not available.   Pot
 studies  with added   metal  compounds  are considered   less  useful,  even  if
 sludge was  also  applied.   It  should be  realized  from  previous  discussion
 (Section  4.1.2.1.1.)  that  pot  studies  will  overestimate plant response  in
field  situations.
                                     4-53

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r
                                             TABLE  4-9
                  Summary of  Criteria  Derivation  Procedure  Based  on  Linear Uptake
                        Response Model and Relative Uptake Response Values
              Step
               E

               F

               G
                Description
index crop
Determine appropriate uptake response slopes
for the index crop
Determine reference" application rate of the
pollutant (RP)
Check the reference application rate of the
pollutant (RP) by substituting other crops for
the index crop
Adjust the reference application rate of the
pollutant (RP) for phytotoxic effects
Text Page
A
B
C
D
Determine relative uptake response values for
each crop
Determine relative uptake response values for
each food group
Determine the reference tissue concentration
increment (RTI) for the index crop
Sort available uptake response data for the
4-53
4-53
4-53
4-53
                                                                                  4-53
   4-55
   4-55
                                                                                  4-55
                                                 4-54

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Step F.  Determine Reference Application Rate of the Pollutant (RP)
    For  each  category established in Step 0,  the  reference application rate
of  the  pollutant  (RP,  in  kg/ha)  is calculated  from  the  reference tissue
concentration  increment  (RTI,   in   v>9/9  PW)  and  the  index  crop   response
slope  (UCr, in yg/g DW [kg/ha]'1), as follows:
                                RP • RTI/UCj                           (4-23)
This  is  analogous to  the determination of  a  reference sludge concentration
(RSC)  in Step  F of  the curvilinear model  method (see  Section  4.2.2.1.1.)
except that  instead of  a plateau,  that relates  tissue concentration incre-
ment  to  a  sludge concentration,  a  slope  is  used  that  relates  the tissue
concentration increment to a pollutant application rate.
Step  6.    Check  the  Reference Application  Rate  of  the  Pollutant  (RP)  bv
Substituting Other Crops for the Index Crop
    This step  is analogous  to  Step  G  of  the  previous  section  (see Section
4.2.2.1.1.).  A  reference  tissue concentration  increment for a  substitute
crop  is  determined   using  Equation  4-21.    Using response  slopes  for  the
substitute crop  from the appropriate category established in Step  D,  RP  is
recalculated  from  Equation 4-23.   Studies  at  soil  pH  <6.0  may  be  used  to
help validate an  RP  value for soil  pH >6.0,  but  the reverse does not apply.
Similarly,   first-year studies  may  be  used  to validate  RP for  multi-year
applications,  but the  reverse  should not be done.   If the recalculated RP is
less than RP  based  on the index crop, the  recalculated value should be used,
except when Equation 4-22 holds true.
Step  H.   Ad.iust  the Reference Application  Rate   of  the Pollutant  (RP)  for
Phvtotoxic  Effects
    Since  the linear  uptake model  projects  continually increasing  tissue
concentrations with  increasing  pollutant application,  it is  possible  using
                                     4-55

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this model  to predict  increases  in tissue  concentration that  in  actuality
would  be  prevented by  toxic  effects  in  the plant.   If  so,  the application
rate calculated  in the  soil-plant  pathway (see Section  4.6.) will  be lower
than that  calculated  in  the  present  pathway,  and therefore  adjustments  to
the rate calculated here may  be unnecessary.   However, an  adjustment method
will  be  presented  so   that  each  pathway  may  stand alone  and  to  avoid
overestimating  the  potential  for  human  health  effects  from  phytotoxic
pollutants.
    A  maximum  pollutant  application  rate   (RPM.)  based  on  phytotoxicity
should  be determined  for each crop group  that  was used in Steps B and  C  to
help determine RTI:
                                                   r)                   (4-24)
                       RPM1 = (TL. - BC.)/(RU. x
where:
       TL.j = maximum tissue concentration for crop category i, above
             which crop production is virtually eliminated by phyto-
             toxicity (yg/g DW)
       BCi = background concentration for crop category i (yg/g DW)
       RUi = relative uptake response value for crop category i
             (unitless)
       UCj = uptake response slope for index crop, used to determine
             the RP value being adjusted (yg/g DW [kg/ha]-i)
    The  calculated  RPM.   represents   the  pollutant  application  rate  at
which, according  to the  linear response model,  the  tissue concentration in
crop  category  i   reaches  its  maximum  level;   higher  concentrations  would
effectively  terminate  crop  production.    Values  of  RPM.  are  compared  with
RP.   If  RPM,  
-------
 indicate   effective   removal   of   crop   i   from   the  diet.   Since  RP  is   a
 permitted,  but  not   required,  application  rate,  is  is  assumed  that  lower
 rates  would be  used  on more sensitive crops.]
     For  all  crops   for  which  RPM.  RP.   Thus, the  summation in
the  numerator  has  units  of   pg/day  and  denotes  the constant   amount  of
contaminant  in  the diet  contributed  by  those  crops assumed to  be at their
maximum   concentration.    This  amount   is  subtracted  from  the  adjusted
reference  intake,  RIA,  to determine the  remaining  intake  amount  that can be
partitioned into those crops still uptake-dependent in the denominator.
    If  Equation 4-25 is  used,  RTI will  increase,  since uptake  response has
been  limited  in  some  crop  categories.   Therefore,  RP will also increase
(from  Equation  4-23), and  may exceed  RPM.  for additional crops,  requiring
additional recalculation  of  RTI using Equation 4-25.  This iterative process
is repeated until there is no further change in RP.
    Once  the  above  steps have  been  followed,  RP  represents  a  cumulative
application rate for  inorganic  pollutants that should  not be exceeded where
crops for  human  consumption  are grown.  As was the case when  the  curvilinear
response model  was used  (see  Section 4.2.2.1.1.), the  interpretation  of  RP
depends  on the  data  used  in  its derivation  (see Step 0 above).   If  only
first-year data were  used  in  Steps  E-G, then  RP constitutes  a  cumulative
                                     4-57

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limit.   If  multi-year data  were  used  (with  or without  support  from first-
year data,  see  Step  G),  RP is a cumulative  rate  limit,  but may not be fully
protective  in  the first  year of application.   RP based  on  first-year data
could be used as an annual limit.
    If  derived  using data  from soils  at  pH >6.0  (with or  without  support
from  data  derived  at pH  <6.0),  RP  is a  cumulative application  limit  for
soils  expected  to  remain  at or above that  pH  value.   If  based  only  on
studies with pH <6.0,  then RP is a cumulative  application limit that can be
applied  to  all   soils,  regardless  of  pH.   The   relationship  between  the
experimental  basis  for  RP  and  the  resulting  rules  is  illustrated  in
Table 4-10.
    4.2.2.1.3.    Procedure  Based  on   Linear  Uptake  Response Model  Without
Using  Relative  Uptake Response Values  — Criteria  are  calculated  using this
procedure  if  relative response values cannot be  determined  for  an adequate
number  of  crops to  characterize  the  various affected  food  groups.  Instead
of  relative uptake   response values,  which  are  unitless,   absolute uptake
response  slopes,   in units   of  pg/g  DW  (kg/ha)"1,  are  used to  determine
dietary  response  to  the sludge-borne  contaminant.  The  main  disadvantage of
using  slopes is  that  the slopes for each crop  used will  likely  originate
from  different  experimental  conditions.   To  examine total  dietary  response
to a  change in  conditions (such as  soil pH), all of the response slopes need
to be changed,  instead  of individually examining  the change in  response of
an  index crop  and  several  substitute  crops  as can  be done  using  relative
response  values.   The  use  of  the curvilinear model  is also  precluded  in
practical terms.   The  steps for this  procedure are summarized in Table 4-11
and are described in detail below.
                                     4-58

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                                 TABLE 4-10

   Experimental  Basis for the Reference Application Rate of Pollutant (RP)
                      and Situations Where RP Applies*
          Data Used To
          Generate Limit
                                                 Soil pH
>6.0 and/or <6.0
<6.0 only
        Multi-year and/or
        first-year

        First-year only
A.  Applies to  cumulative application  if  soil pH  will  remain  >6.0  without
    liming.  Separate, annual application limit applies.

B.  Applies to cumulative  application.   The  pH requirement is dependent upon
    data.  Separate, annual application limits apply.

C.  Applies to  cumulative application  if  soil pH  will  remain  >6.0  without
    liming.  Separate, annual application limit not required.

D.  Applies to cumulative  application.   The  pH requirement is dependent upon
    data.  Separate, annual application limit not required.
*For explanation, see text.
                                     4-59

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                              TABLE 4-11

    Summary of  Criteria  Derivation Procedure Based on Linear Uptake
     Response Model Without Using Relative Uptake Response Values
Step
                Description
Text Page
 A


 B


 C
Sort available uptake response data for all
food crops

Determine uptake response slopes for each food
group

Determine reference application rate of the
pollutant (RP)

Adjust the reference application rate of the
pollutant (RP) for phytotoxic effects
   4-61
   4-61
   4-61
                                                                    4-62
                                  4-60

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 Step A.   Sort Available Uptake Response  Data  for  All  Food  Crops
    The  data for  all  crops  consumed  by humans  are sorted  as  described  in
 Step D of the previous procedures  (see Sections 4.2.2.1.1.  and 4.2.2.1.2.).
 Step B.   Determine Uptake Response Slopes for Each  Food  Group
    This  step  is  analogous  to  that  described  in Step  B of  the previous
 procedures   except   that   response  slopes,    with    units   of   yg/g   DW
 (kg/ha)"1,  are  substituted  for unitless  response  values.   For  each  food
 group,  a  separate  response  slope  should  be  derived   for.. each  of  the
 categories established by sorting in Step A.   However,  as described in  Step
 F  of  the curvilinear  procedure  (see Section 4.2.2.1.1.)  and Step G of the
 linear  procedure using  relative  response  values  (see  Section  4.2.2.1.2.),
 studies  at  pH   <6.0  may  be  used  to   augment  the  data  for  pH  >6.0,  and
 first-year studies  may be  used  to augment the data  for multi-year studies,
 but the reverse should not be done.
 Step C.  Determine Reference Application Rate of the Pollutant (RP)
    Since there  is  no index crop,  a  reference  tissue  concentration  is not
 calculated.   Instead,  the reference application  rate of  the  pollutant  (RP,
 in  kg/ha)  is  calculated  directly  from  the  response  data by the following
 equation:
                                 	RIA
                         RP =
                              .
                              1=1
                                     i x DCi x
(4-26)
where:
       RIA = adjusted reference intake (vg/day)
       UC-j = uptake response slope for ith food group (yg/g DW [kg/ha]"1)
       DC-j = daily dietary consumption of ith food group (g DW/day)
       FCj = fraction of food group assumed to originate from sludge-
             amended soil (unitless)
                                     4-61

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Step  D.   Adjust  the Reference  Application  Rate of  the Pollutant  (RP)  for
Phvtotoxlc Effects

    This step  is  identical  to Step H of  the  linear procedure using relative
response  values  (see  Section   4.2.2.1.2.)  except  that,   instead   of  first
recalculating  RTI  (see Equation  4-25) before recalculating  RP,  RP  is  calcu-
lated directly from the following equation:
                   RP
                        RIA -  I  [(TLj-BCj) x OCj x FCjJ
                              k=l
                                  (UCk x DCk x FCk)
(4-27)
where  subscript  j   indicates  those  food  groups  for which  RPM. RP.    RPM..   values  are
calculated  as  in   Equation 4-24,  except that  UCj  must be  substituted  for
the  quantity RLL  x  UCj.   The  interpretation   of  values  of  RP  derived  by
this procedure  is as illustrated in Table 4-10.
    4.2.2.2.    CATEGORY  2  CONTAMINANTS — The criteria  derivation procedure
for  organic contaminants by the  sludge-soil-plant-human  toxicity pathway is
largely  the  same  as  the  procedure  for  inorganics  based  on   the   linear
response   model  and  not  using   relative   response  values   (see  Section
4.2.2.1.3.  and   Table  4-11).    One difference  is that  uptake data  are  not
segregated  on the  basis  of either  soil  pH  or  years of sludge application,
since  no  reason  for  doing  so  has  been demonstrated.   In  addition,  the
procedure  for calculating  response slopes for organics differs somewhat from
that  for  inorganics,  in that  tissue concentration  is  treated  as  a  linear
function of soil concentration rather than application rate, as explained in
Section   4.1.2.2.    Thus,  Equations   4-26  and   4-27   yield  a  reference
                                     4-62

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 concentration   in  soil  (RLC)  in   yg/g   DW,   rather  than  the   reference
 application  rate  of pollutant,  RP,  in kg/ha.   This assumes  that the  soil
 background  concentration,  BS,  is  zero.    If  BS^O, then  Equations 4-26  and
 4-27  yield RLC-BS.   That  is,  BS must  be added to the  result  to derive  RLC.
    RLC  is  the soil concentration that should not  be  exceeded.  The value of
 RLC  may  be  used in  Equation 4-13,   along  with  values  for  degradation  rate
 constant  in soil   (k,  in years"1),  waiting period  before  planting  (T, in
 years),  and assumed annual  sludge  application  rate  (AR  ,  in  t  DW/ha), to
                                                         3
 find  RPg, the annual  application  rate  of the  pollutant  (in  kg/ha).  RP
                                                                            a
 is the  application  rate that can be  repeated  indefinitely without exceeding
 RLC.   If  only  a single sludge application  is to be made,  the single applica-
 tion  rate of  the  pollutant,  RP   (in kg/ha), is derived  from Equation 4-6.
 The preplant waiting period,  T, may be employed if desired.
 4.2.3.    Input  Parameter  Requirements.   The following  sections  discuss in
 more  detail  the individual  parameters required to calculate criteria for the
 sludge-soil-plant-human toxicity  pathway.    In many cases  the  assignment of
 parameter values  depends  on  the  specific  type of  land  application practice
 assumed.  As  explained  in  Chapters  2 and  3,  it is  assumed that  all lands
 other than dedicated  land and highway roadsides can  eventually  become agri-
 cultural  land  or home  gardens.   Therefore, this methodology will  not make
distinctions between the  risks  associated  with  various  sludge utilization
practices; only the  practices with  highest risk need  be examined.   However,
 it is difficult  to  state  a priori whether  application to  agricultural lands
or home  gardens entails the  highest  risk.   A  home  gardener may grow  a high
percentage of  certain types  of  foods, but  a wider number of  food types would
probably be affected by agricultural  use.   Therefore,  both of these exposure
                                     4-63

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scenarios should  be examined  to  determine for  each contaminant of  concern
that entails the  higher  risk.   The resulting restrictions  should be  applied
to all lands except dedicated lands and highway roadsides.
    No special consideration will  be  given to hothouse  or  other indoor crop
production  except to  examine  potential  risk  from  any  crops  grown  only  in
that setting.  The  only  such crop not already covered  under the home garden
or  agricultural   use   scenarios  is mushrooms.   An  analysis of  contaminant
uptake  data for  mushrooms  should  be  conducted  to  determine  whether  pre-
cautions  based  on other  crops will   be  sufficient  to  prevent  any  excessive
accumulations.  For  example,  Logan and  Chaney (1983)  presented a  review  of
data  showing  particularly  high  uptake  of  mercury  by  mushrooms.   They
suggested that  sludge  composts might  not be suitable  for use in  mushroom
production.    Parameter choices are discussed  below and  also are  summarized
in Table  4-12 for agricultural and home  gardening  practices where  crops for
human consumption are grown.
    4.2.3.1.   FRACTION  OF  FOOD   GROUP  ASSUMED  TO  ORIGINATE   FROM  SLUDGE-
AMENDED  SOIL  (FC) — This  exposure  pathway deals with   crops  for  human
consumption  and   thus  potentially  includes  grains  and cereals,  potatoes,
leafy vegetables,  legume  vegetables,  root vegetables, garden fruits,  peanuts
and  mushrooms  (see  Table  4-2).   Some  food  groups might  be  assumed  to  be
unaffected  by certain  sludge application practices; in these cases,  FC would
be  set  at  zero.   For  food  groups  that may  be  affected,  FC is  set  between
zero and  one, based  on the percentage likely to  have originated from sludge-
amended soils.
    4.2.3.1.1.   Agricultural   Utilization—Sludge   production   in   the
United  States  is  not  sufficient  to  enable application  to  all  U.S.  cropland
(Table 4-13).  Therefore,  not  all  of the U.S. diet will be affected,  even  if
                                     4-64

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                                 TABLE 4-12

    Choice of Input Parameter Values for Sludge-Soil-Plant-Human Toxicity
                 Pathway, As Affected by Exposure Scenario*
       Input Parameter
                                               Exposure Scenario
                                   Agricultural Use
                        Home Garden
Crops Included
Fraction of crop (FC)
all except
mushrooms
0.025
all except grains
and cereals,
peanuts, mushrooms

0.60 vegetables
0.45 potatoes
0.17 dried legumes
*For explanation, see text.
                                    4-65

-------






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 all  sludge produced were  applied  to agricultural  soils.   However,  the degree
 to which any individual's diet  will be affected will  depend  on  the degree  of
 mixing of  food  products before consumption.   If mixing  were complete on  a
 nationwide basis,  FC for  the  individual's  overall diet could not  exceed the
 fraction  of cropland  available  in  the  United  States  that would be  required
 to  receive all   sludge  produced   (assuming   that  fertilization/irrigation
 achieves  equivalent  yields  where  sludge  is  not used).   Table 4-13, taken
 from CAST  (1976),  illustrates  the  percentage of  total  available  cropland
 that would be  required, based on nitrogen content, to dispose  of the total
 sludge  production  for  the entire United States.   Estimates  for 1985  (based
 on 1975  information)  ranged  from  0.49 to  1.98%.  If mixing were  complete
 only on  a more geographically limited basis, such as  statewide, the  fraction
 could  be  much  higher, especially in  areas  where  available cropland  is small
 compared  with  population  size (such as  55% for  New  Jersey).  It is quite
 unlikely  that  all  crops consumed in any state, especially a highly urbanized
 one,  would originate within  that  state.  However,  it may be insufficiently
 conservative to assume  complete mixing  nationwide.   If  an   average  of  the
 U.S.  and  New   Jersey cases  based  on   4%  available   nitrogen  is  taken,  a
 somewhat arbitrary value of 29% results.
    Not  all of the  sludge  produced  is  presently  land  applied,  and  the
 percent applied to  human food-chain land is lower (16%)  for  large treatment
 plants [>10 million gallons/day  (MGD);  characteristic  of population centers]
 than  for  small  plants  (31%  for  plants <1  MGD;  characteristic  of  rural
areas).   A  weighted average of  17% applies to all sludge produced (Pierce
and Bailey, 1982).
    It may  be  desirable to base values of  FC  on  a more recent  and thorough
regional   analysis   of  sludge  application,  land  use  and  food  distribution
                                     4-67

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practices,  as  well  as  sludge  nitrogen  content.  No  such  analysis will  be
attempted  here.    For  purposes  of  example  only,   a  value  of  5% or  0.05
(~0.29x0.17)  will   be  employed  here  as  a  reasonable worst-case  estimate.
The use  of this value  of  FC  for  all  food groups will tend  to overestimate
exposure,  since  not all  sludge-grown  crops are  for human  consumption.   For
example,  livestock  feed,   export  and  seed  uses of grain  produced in  the
United  States  exceed  the  amounts  used  directly   for  human  food  products
(CAST,  1976).   Thus,  a   value  of  2.5%  could  be employed  as a worst  case
estimate of FC for crops grown for human consumption.
    4.2.3.1.2.   Home  Gardens — It  will  be  assumed that  home  gardeners
produce  and  consume potatoes,  leafy  vegetables,   legume  vegetables,  root
vegetables  and  garden  fruits,  but  not  grains  and cereals,  peanuts  or
mushrooms.   The USDA  (1966)  survey of  U.S.  food   consumption  in  1965-1966
includes  data  on  the percentages of foods  consumed  that  were homegrown, for
urban,  rural  nonfarm and rural farm households.  The  highest percentages of
homegrown  foods  were for  rural farm  households, which  consitituted  c.6% of
all  U.S. households (Table 4-14).   The  rural farm  dweller  will  be taken as
the  MEI  for  the  home  gardening  scenario  in  this pathway.   Values  of FC
(after  rounding)  are 0.60  for all  vegetables  (except dried  legumes),  0.45
for potatoes and 0.17 for dried legumes.
    4.2.3.2.   UPTAKE  RESPONSE  DATA:  RELATIVE  UPTAKE RESPONSE  VALUE (RU),
PLATEAU   INCREMENT   VALUE   (PI)  AND   UPTAKE  RESPONSE  SLOPE   (UC) -- Uptake
response data  are  required for as  many  crops as possible in the food groups
for  which  FC#),  as  determined in  the  previous section.   Instructions for
deriving the  needed uptake  parameters  are  given   previously:   for  RU see
Section  4.1.2.1.  and Step  A of 4.2.2.1.1.;  for  PI see Section  4.1.2.1.2. and
Step  E  of 4.2.2.1.1.; and for  UC see Section  4.1.2.1.1.
                                      4-68

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                                  TABLE 4-14

                    Annual  Consumption  Homegrown  Foods3»D
Food Group
Milk, cream, cheese
Fats, oil
Flour, cereal
Meat
Poultry, fish
Eggs
Sugar, sweets
Potatoes, sweet potatoes
Vegetables (fresh, canned, frozen)
Fruit (fresh, canned, frozed)
Juice (vegetable, fruit)
Dried vegetables, fruits
Percent Homegrown bv llrhaniyatinn
Rural Farm
39.9
15.2
1.6
44.2
34.3
47.9
9.0
44.8
59.6
28.6
n.o
16.7
Rural Nonfarm Urban
4.0
1.6
0.8
6.1
11.9
9.1
5.0
14.6
26.7
11.5
4.1
6.9
0.04
0
0
0.8
2.9
0.6
1.6
1.2
5.1
2.8
0.7
2.6
aSource: Calculated from data presented in USDA (1966)

bfhe percentage  of the  U.S.  population, represented  by  households  from each
 urbanization  at  the  time of  this  survey were  6%,  24%  and 70%  for rural
 farm,  rural nonfarm and urban,  respectively.
                                     4-69

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    Response  slope  (UC)  or  plateau  increment  value  (PI)  for  many  contami-
nants  varies  inversely with  soil  pH  and number of years  of  previous sludge
applications  (or  years  since  most  recent  application).    The  following
assumptions  should   be applied  when  selecting response  data  to  represent
different  types  of   land application.   Soil pH may be  controlled  (>6.0)  or
uncontrolled  (possibly <6.0,  as  determined using a 1:1  soil-water  paste)  in
agricultural  utilization.  Therefore,  both situations  should be evaluated  to
determine  whether  pH control  is  warranted.  However, pH  control  should  not
be  assumed in  home gardens;  studies  with  soil  pH <6.0  should  be  used  to
determine  UC  or PI.   In agriculture  and home  gardening,  crops may  be grown
in  the  first year  of sludge  application.  Therefore,  data  of this  type
should  be used  to  determine  annual  application limits,  but data  based  on
prior  sludge  applications  (or intervening  years without  sludge application)
may be  used to  determine  cumulative limits.  For site-specific  calculations,
if  future use of land  may  include  raising food crops but present  use does
not, then first-year response data should be avoided.
    4.2.3.3.   DAILY DIETARY CONSUMPTION  OF FOOD  GROUP  (DC)  — Values  for
daily  dietary consumption  (DC, in g  DW/day) are needed for  each  food group
for which FCj^O.  The  values chosen should be  appropriate  for the  MEI,  an
individual  with  higher than average  intake of  the  affected  food  groups.
Consumption data presented in Pennington (1983) and reanalyzed in  Table  4-2
are mean  values  for each  of  eight age/sex  groups.  One  could define the  MEI
in terms  of the  age/sex  group having the  highest consumption for all of  the
food groups combined,  or for each individual food  group.   Alternatively,  one
could  estimate  a 95th-percentile  consumption  level based on variability  of
1-day consumption; however,  this  procedure risks overestimation of  long-term
                                     4-70

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 consumption.  The  appropriate  use of dietary data to characterize the MEI is
 more fully discussed in Section 4.1.4.
     4.2.3.4.   BACKGROUND  CONCENTRATION  IN CROPS  (BC)  — Background  concen-
 tration  data  are  required  for  index  crops   (BCj)   and  substitute  crops
 (BCS)  used  to determine  the  plateau increment, PI  (see  Section 4.2.2.1.1.,
 Step E).   Whenever possible, values  for  BCj  should be taken  from  the  study
 used to determine  the  plateau  value,  P, and  reference  sludge  concentration,
 RSC.  Values for BCS should be  taken  from  each study used  to check RSC.
     Background data  are  also  required  whenever a  maximum pollutant appli-
 cation   rate  based  on   phytotoxicity  (RPM)   is   calculated   (see  Section
 4.2.2.1.2.,  Step H).   If  possible,  BC  should  be  taken from the same  study
 from which  TL  was derived  (see Section 4.2.3.5.).
     4.2.3.5.   MAXIMUM   TISSUE   CONCENTRATION  (TL) — TL   is  the  tissue
 concentration  limit, above which  crop production  is virtually eliminated by
 phytotoxicity.   TL   is  used as  a  limit  to  linear  response, as explained in
 Section 4.1.2.1.1.   The maximum  pollutant application  rate based on phyto-
 toxicity  (RPM) must be  calculated  for each food crop.  If  a  given  crop was
 used  to determine  the  linear response slope,  UC, for a food  group, then TL
 for  the same  crop  should   be used,  if possible, to calculate  RPM.   If the
 same  crop  cannot be  used, or if  UC   was  based  on a weighted  mean,  then TL
 should  be based on that crop for which the  highest tissue TL value is found.
    4.2.3.6.   WAITING  PERIOD  (T) - If  a  waiting period (T,  in  years)
 occurs  following  the  last sludge  application  before  crops are  grown,  the
 value  of  RPa  for  organic  compounds  will   increase.    (Refer  to  Section
4.1.1.  for  methods  of  calculating  RPa, from  RLC.)   Ordinarily,  no  waiting
period  is assumed.   However,  current  regulations [40 CFR 257.3-6(b)(3)]  call
for a waiting  period of  1.5  years if the  sludge has not  been treated  by a
                                     4-71

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"process to  further reduce  pathogens"  (PFRP)  and if crops that  contact  the
sludge  are  grown.   It  is  suggested that  values of T = 1.5  years  and  T = 0
years  be  used  for comparison  when deriving  criteria  for land  application
practices  for this  exposure pathway.   For D&M practices,  T = 0  should  be
assumed.
    4.2.3.7.   ADJUSTED   REFERENCE   INTAKE"   (RIA)  — Values   for   adjusted
reference  intake  (RIA,  in  vg/day)  are  derived  based   on  health  effects
data, as described in Section 4.1.5.
4.3.    SLUDGE — HUMAN  TOXICITY (SOIL INGESTION) EXPOSURE  PATHWAY
4.3.1.   Assumptions.   In  addition to many  of the  assumptions  listed  in
Table  4-1,  some  additional  assumptions are made for this  pathway relating to
the  degree  of sludge ingestion that could  occur and the  method of assessing
potential  effects.  These assumptions  and  their potential ramifications are
summarized  in Table 4-15 and are further discussed  in the  following sections.
4.3.2.   Calculation   Method.    A   reference  soil  concentration  (RLC,  in
yg/g  DW) may be  determined based on human health effects data, as follows:
                             RLC = RIA/(Is X DA)                        (4-28)
where:
        RIA  = adjusted  reference  intake  (yg/day)
        Is   = soil  ingestion  rate (g  DW/day)
        DA   = exposure  duration adjustment  (unitless)
 The procedure for ensuring  that RLC will  not be exceeded  depends  on whether
 or not  the  sludge  is  soil-incorporated.   If  it  is  not, then  it will  be
 assumed that  the  uppermost soil  layer,  which  children  may ingest, is  100%
 sludge.  Therefore,   sludge  concentration  should  be  controlled.   If  soil
 incorporation is practiced, then  pollutant  application rate is the basis for
 criteria calculation.   For  organic  compounds,  soil degradation must also  be
                                      4-72

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taken into account.   Equations  relating soil concentrations to sludge appli-
cation rates, with and without degradation, are presented in Section 4.1.1.
    4.3.2.1.    SURFACE  APPLICATION — It  is  assumed  that surface  applica-
tion, without  soil  incorporation,  may occur for many D&M sludge uses.  These
practices could  result in  exposure of children, either  immediately  or fol-
lowing  land-use  conversion.  The calculations  for  determining the reference
sludge concentration, RSC (in yg/g DW) are as follows.
    4.3.2.1.1.   Inorganics — Since  degradation  ordinarily is  not  assumed,
the reference sludge concentration, RSC, is equal to RLC.
    4.3.2.1.2.   Organics — If  immediate  exposure  potential  exists  follow-
ing  application,  the procedure  for organics is the  same  as  for inorganics.
This  assumption  is  followed  for  the  purposes of  deriving  criteria,  since
conversion  periods  are  neglected   (see  Chapter 3).   In  some  instances,
however,  it  may be  desirable  to assume a land-use conversion period (T,  in
years)  before  exposure  of children is  likely.   Since degradation  may occur,
the  initial   soil   concentration prior  to conversion,  RLCQ,  is  calculated
from  RLC  by  the  following  equation,  which  is  derived from Section 4.1.1.2.,
Equation 4-4:
                              RLC  = RLC x e
                                 o
                                            kT
(4-29)
The reference sludge concentration, RSC, is then set equal to RLCQ.
    4.3.2.2.   SOIL   INCORPORATION — Soil   incorporation   is   required   in
agricultural  utilization when  crops  for  human  consumption are  grown,  and
such  a  requirement will be evaluated  for  pasture  lands as well (see Section
2.2.1.2.).   If  agricultural,  forest or  reclaimed lands  are  converted  to
residential  use,  it is assumed that  soil incorporation will occur during the
process  of  land  conversion,  if it has  not  already occurred.   The reference
application  rate of  the  pollutant (RP,  in kg/ha)  is  determined from RLC as
                                     4-74

-------
 described in Section  4.1.1.,  using Equation 4-3 for inorganics, and Equation
 4-6 or 4-13 for organics, for single or multiple applications, respectively.
 4.3.3.   Input Parameter Requirements.
     4.3.3.1.   SOIL INGESTION  RATE  (y-Soil  ingestion  has been  recog-
 nized as  an important  source  of exposure  to  pollutants such  as  lead.   For
 adults,  a value of  0.02 g/day has been used to estimate dust ingestion (U.S.
 EPA,  1984b).   Children  may ingest  soil  by either  inadvertent  hand-to-mouth
 transfer or by intentional direct  eating.   When such behavior  is  frequent,
 it is called  pica.  Lepow  et  al.  (1975)  estimated that children  frequently
 mouthing their hands  may inadvertently ingest at  least  100 mg of soil  per
 day.   Studies   aimed at  more  accurately  determining the  range  of  ingestion
 rates  have  yielded  some data  but are as  yet   inconclusive.  Binder  et  al.
 (1986)  conducted  a pilot  study  to  establish  methods  for  determining soil
 ingestion  rates  in children   living   near  a  lead  smelter.   Three   tracer
 elements,  aluminum, silicon and  titanium,  were  measured  in soil  and dust
 samples  and  in  stool samples of 70 children.   Results for the three elements
 were   often   in   disagreement,   indicating  either  a   metabolic   loss  or
 unrecognized sources of one  or more of the elements.
    Assuming that  the  lowest  estimate  for  a  given child was accurate, and
 that  the higher  estimates  for the other  two  elements  represented sources
 other than soil,  the following results were obtained  (in  g  DW/day):  for 59
 children with   soil  and   stool  measurements, mean  ingestion  was 0.108;  the
median was  0.088;  the  geometric  mean was  0.065;  the range  was 0.004-0.708
and the 95th percentile was 0.386 (Table 4-16).
    Estimates based on aluminum and  silicon were possibly the most  accurate,
since  these  were  in relatively  close  agreement, and  the titanium results
should probably be dismissed as anomalous  (since these averaged  higher by a
                                     4-75

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 factor of 10).  This assumption  produces  slightly higher estimates,  as  shown
 in Table  4-16.   Based  on  these  preliminary data,  a value  of  0.5  g/day  is
 suggested as  a reasonably  protective  value  for  I .    Further  studies are
 being undertaken by  the U.S.  EPA  to  improve  these  estimates.
     4.3.3.2.    ADJUSTED   REFERENCE   INTAKE   (RIA)  — Values   for   adjusted
 reference intake  (RIA,  in  yg/day)  are  derived  based  on  health   effects
 data,  as  described  in  Section  4.1.5.   Some  special provisions  may apply,
 since this exposure  occurs only in children  (1-6 years of  age).
     4.3.3.2.1.   Human  Body  Weight  (bw)  — A   body weight  of  10  kg,  the
 approximate median body weight at 12 months  of age,  should be used.
     4.3.3.2.2.   Total  Background Ingestion Rate  of Pollutant (TBI) — The
 value  of  TBI  should be  based  on   a  body  weight  of 10 kg.  FDA  data for
 infants/toddlers may be available;   otherwise it  is suggested that ingestion
 amounts  be  adjusted downward.   A  factor  of  3  is suggested  for  such  an
 adjustment.  TBI  should not  include pollutant  ingestion  in  soil,  since the
 background concentration in soil is handled separately in Equation 4-3.
    4.3.3.3.   EXPOSURE  DURATION  ADJUSTMENT (DA)  — An  adjustment   to  the
 RIA  may  be  required  based  on the brief duration of this  exposure.   Values of
 RfD  and  q^   are  usually  calculated  to  be  representative  of  a  lifetime
 exposure.  Adjustment of RfD  values  for exposure duration is not  recommended
 because  higher exposures  may  lead  to more  severe toxic  effects.   However,
time  adjustment  of  cancer  risk  estimates  is consistent with the  method  in
which  potency  estimates (q^)  are  derived, and  has been used  previously.
Therefore, a DA value is  suggested  for use with carcinogenic  chemicals.   The
value  is derived  on  the   basis  of  exposure  duration   divided  by  assumed
lifetime, or 5 years/70 years =  0.07.  This adjustment  should be  carefully
                                     4-77

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evaluated on a case-by-case  basis  to ensure that an  exposure  of RIA/DA will
not lead to toxic effects other than carcinogenesis.
4.4.   EXPOSURE PATHWAYS FOR HERBIVOROUS ANIMALS FOR HUMAN CONSUMPTION
4.4.1.   Assumptions.   Animal  forage  may  be  contaminated  by  uptake  of
sludge  pollutants  through  the  plant  roots  (sludge-soil-plant-animal-human
toxicity)  or by  adherence   of  sludge  to  plant  surfaces or  roots  [sludge-
animal  (direct  ingestion)  human toxicity].  As explained  in Section 3.1.3.,
soil  incorporation  is  not  assumed  when sludge  is  applied to  pasture,  and
direct  ingestion  may occur.   Therefore, the  criteria  calculation procedure
should  be  used to  evaluate whether  soil  incorporation  should  be required.
In  forest  use, soil  incorporation often is not  feasible,  and direct inges-
tion  is possible  by animals such  as deer that will be  taken by hunters in
unsludged  areas.   Deer  and  other game  may also feed  in agricultural areas
and  be  taken and consumed by  hunters.   However,  the amount of game consumed
is  assumed  not  to  exceed  the consumption  of  home-produced meat  by  farm
dwellers.   Therefore,  the  farm dweller is taken as  the  MEI.   Criteria  that
protect the  MEI  are  assumed to  be protective  of  hunters as  well.   It is
assumed that  sludge application  to  this  farmland  may  have  occurred  as a
current or  previous  agricultural  application  practice,  or  as  a previous
forest  or disturbed-land  application  practice.  Additional assumptions  are
listed  in  Table 4-17.   Various  aspects of  the assessments  for these pathways
are shown  in Table 4-18.
4.4.2.   Calculation Method.
     4.4.2.1.   UPTAKE  PATHWAY:  SLUDGE-SOIL-PLANT-ANIMAL-HUMAN  TOXICITY -- A
 reference  concentration  of  contaminant in animal   feed  (RFC,  in  yg/g  DW)
                                      4-78

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-------
 may be  calculated  based on  human  health  effects  data,   uptake  by  animal
 tissues  and  consumption  of those  tissues  by  humans:
                                   	RIA
                          RFC =
                                     i x DA-i x FA-j)
(4-30)
where:
        RIA = adjusted  reference  intake of  pollutant  in  humans
           = uptake  response  slope of pollutant  in the  ith animal
             tissue  [yg/g tissue DW  (yg/g  feed DW)-i]
           = daily dietary consumption of  ith animal tissue  food group
             (g OW/day)
        FAi = fraction  of food group  assumed to be derived from sludge-
             amended soil or  feedstuffs
RFC  is the  increase  in feed  concentration  of  the  animal's total diet that
will  cause  contaminant intake in exposed  individuals  to equal  the RIA.  The
actual  feed  concentration   includes background concentration  as well  and
therefore may be higher.
    Following the calculation of RFC,  the reference application  rate of the
pollutant (RP,  in  kg/ha)  is calculated.   The procedure differs  for category
1 and category 2 contaminants, since the units of crop uptake differ.
    4.4.2.1.1.   Category   1   Contaminants —  For   inorganics   that   are
conserved  in  the  soil, a  cumulative  application  rate  (RP ,  in  kg/ha)  is
calculated:
                                RP  = RFC/UC
(4-31)
where:
       RFC = reference feed concentration of pollutant (yg/g OW)
       UC  = linear response slope of forage crop [yg/g crop DW (kg/ha)"1]
    4.4.2.1.2.   Category   2   Contaminants — For   organic  compounds   and
inorganics that are  not  conserved  in the soil,  before  determining pollutant
application  rate,  a  reference  soil  concentration  (RLC,   in  yg/g  DW)  is
calculated:
                            RLC =  (RFC/UC) + BS                        (4-32)

                                     4-81

-------
where:
       BS = background soil concentration of pollutant (yg/g DW)
       UC = linear response slope of forage crop [yg/g crop DW (yg/g
            soil
The procedure  for  estimating  application rate of pollutant,  RP,  from RLC is
given  in  Equations  4-6  and  4-13  for  single  and  multiple  applications,
respectively.
    4.4.2.2.   ADHERENCE PATHWAYS: SLUDGE-ANIMAL  (DIRECT INGESTION)  — HUMAN
TOXICITY — The  reference  feed  concentration (RFC,  in  yg/g DW)  is  calcu-
lated  as  for  the uptake  pathway  (see Equation 4-30)  but  the  values  will
differ because  fewer  human  food categories will  be affected.  If soil incor-
poration  is  assumed,  the upper parts  of crops are assumed  to  be uncontami-
nated  in  agricultural  use,   and  thus  only grazing  animals (e.g.,  cattle,
sheep) are affected.   If  soil  incorporation is not assumed, the upper parts
of pasture crops  may  be contaminated and may be harvested as feed for cattle
or sheep,  or they may be grazed  directly by these animals.  Sludge can also
accumulate  in  the thatch  layer of  pasture and  can  be  directly consumed by
grazing  animals.   Domestic   animals consuming  grains  or  other nonpasture
crops  (such as pork, poultry) are assumed not to be affected.
    4.4.2.2.1.   Soil  Incorporation of Sludge -- Following  the  calculation
of RFC,  RFC is adjusted by the amount  of soil in the  diet to  determine the
reference  soil concentration  (RLC, in yg/g  DW) :
                             RLC = (RFC/FL)  + BS                        (4-33)
where:
       RFC = reference feed concentration of pollutant (yg/g
       FL  = fraction of diet that is adhering soil (g soil DW/g diet DW)
       BS  = background soil concentration of pollutant (vg/g DW)
                                     4-82

-------
 A pollutant  application rate,  RP,  is  calculated  from RLC  as  described  in
 Section  4.1.1.   Equation 4-2 or 4-3  is  used for inorganics;  Equation 4-6  or
 4-13  is  used  for organics.
    4.4.2.2.2.   Surface   Application   Without   Soil   Incorporation — When
 sludge  is  consumed directly from plant  or  soil  surfaces,  contaminant intake
 by  the grazing animal  is more closely  related  to  sludge  concentration than
 contaminant application  rate.   Therefore, criteria are  derived in terms of a
 reference  sludge  concentration  (RSC,   in  yg  DW/g)  rather  than   RP.   For
 inorganics and organics, RSC is derived  as follows:
                                  RSC =
where:                                  FS
       FS = fraction of animal diet which is sludge (g sludge DW/g
            diet DW).
(4-34)
If  a  waiting period  (T,  in  years)  is assumed  and occurs  between  the most
recent  sludge application  and grazing, RSC may  be  multiplied  by the expres-
      kT
sion e  , where k is the loss rate constant (in years'1).
4.4.3.   Input Parameter Requirements.
    4.4.3.1.   FRACTION OF  FOOD  GROUP ASSUMED  TO  BE  DERIVED  FROM SLUDGE-
AMENDED  SOIL OR FEEDSTUFFS  (FA)  — As was the  case with  FC  in  the  crops-
for-human-consumption pathway (see Section 4.2.3.1.),  this  parameter  deter-
mines which food groups are included in the analysis.
    For  the  first  of  these two  pathways  (sludge-soil-plant-animal-human
toxicity),   all  meat  groups  except fish  will  be  assumed  to be  affected.
These  include   beef,  lamb,  pork,  poultry, dairy  products and  eggs.   The
second  pathway  [sludge-animal(direct  ingestion)-human  toxicity]  is assumed
to  affect   only grazing  animals;  beef,   lamb  and dairy  food  groups  are
included.
                                     4-83

-------
    As for the  pathway  dealing  with crops for human consumption,  the MEI  for
these two pathways  is  chosen as a farm family raising a substantial  percent-
age of their  own  meat  and other animal products.  The choice of FA values is
based on the  percentage  of homegrown foods consumed by rural farm households
(see  Table  4-14).   These values  have  been  reiterated  in  Table 4-18.   As
stated previously,  it  is  assumed that these  FA  values  are sufficiently high
that  an  individual  consuming  wild game  from  sludged  areas  will  also  be
protected.
    4.4.3.2.   DAILY DIETARY CONSUMPTION  OF  FOOD  GROUP  (DA)  — Values  for
daily dietary consumption (DA,  in  g DW/day)  are needed  for each food  group
for   which   FA#).   As   was  described  for  DC   (see   Section   4.2.3.3.),
consumption data  are taken from Table 4-2 or other information presented in
Section  4.1.4.    The  food item  "beef  liver"   in Table 4-2  includes various
other organ meats consumed by humans in smaller amounts, such as kidneys and
hearts.   Individuals  with  a preference for  those organs  are  expected  to
consume  them  at  the  rates given  for  beef liver.   It is also assumed that
consumption of  wild game  does  not  exceed  the  values of  DA for  other meats
(beef, lamb)  and  that  criteria derivation procedures based  on consumption of
these meats will  also protect hunters.
    4.4.3.3.    FRACTION  OF ANIMAL  DIET  THAT  IS SOIL  (FL)  OR SLUDGE (FS) —
Studies  of grazing  animals  indicate  that  soil  ingestion  ordinarily ranges
from  1   to  10% of  dry weight  of diet  (but  may range  as high  as  20%)  for
cattle  and  may be  30%  or higher for sheep during  winter months  when forage
is  reduced  (Thornton and  Abrams,  1983).  Since lamb contributes relatively
little  to  the  U.S. diet, a  value of  FL  =  10%  or 0.10,  based largely on
cattle,  will  be used to represent a  reasonably high  exposure situation.
                                     4-84

-------
    Studies of  sludge adhesion  to  growing forage  following  applications  of
liquid  or filter-cake sludge  show  that when  3-6 t/ha  of sludge  solids  is
applied,  clipped  forage initially  consists  of  up  to 30%  sludge on  a  dry-
weight basis  (Chaney  and  Lloyd,  1979; Boswell, 1975).  However, this contam-
ination  diminishes  gradually  with  time  and   growth,  and  generally  is  not
detected  in  the following  year's growth.   Where pastures amended  at  16 and
32 t/ha  were  grazed  throughout  a  growing 'season (168 days),  average  sludge
content  of  forage  was only 2.17 and  5.17%,  respectively  (Bertrand et  al.,
1981).
    In  the  draft Las  Vegas report,  Chaney  et  al.  (1987)  review  these  and
other data on  sludge  adherence to  forage crops,  and  show that by 21-28  days
following  sludge application,  the  amount  of  sludge in  or  on  forage  was
0.5-5.4%  (DW/DW),   depending  on  the  sludge   moisture  content  and  forage
species.   Sludge  in  the  feces  of  cattle   rotationally  grazed  on  these
pastures  at  least  7-21   days  following  sludge application  was  slightly
higher,  as  high as  7.7%,  probably  indicating  some ingestion  of  sludge  from
the soil  surface.   Therefore,  a  value of FS = 30%  or 0.30 is recommended  if
no waiting  period  is  employed  before grazing  or harvest of  sludge-amended
pasture.  A  value  of  0.08  is recommended  if  a  waiting  period of  T = 0.082
years (30 days) is  employed.
    4.4.3.4.    UPTAKE  SLOPE OF  POLLUTANT  IN  ANIMAL TISSUE  (UA)  --  Uptake
slopes  for affected   tissues  consumed  by humans  should  be calculated  as
described in Section  4.1.2.3.  The  form and availability of  uptake response
data will affect the  types  of food  groups  included  in the calculation  of RFC
(see  Equation  4-30)  and  therefore  the  choice  of  values for  FA and  DA  as
well.   If values  of  UA  can  be  calculated  for  several  different types  of
meats (beef muscle,  pork  muscle,  beef liver,  etc.), then each of  these meats
                                     4-85

-------
can be separately  included  in Equation 4-30.   If data for only a single type
of meat  are available, it may  be  necessary to as'sume that  similar  types  of
meat  from different  species have  similar UA  values.   These  tissues  would
then  be  grouped in Equation  4-30.   It should not be assumed,  however, that
organ  meats  and  muscle  have  similar UA  values,  since  organ meats  often
accumulate more highly.
    This  analysis  also assumes that  UA values for wild game  species  are  no
greater  than those  for the  domestic animals to  which  most  available data
apply.   If  data  contradicting  this  assumption  are  available,  these  values
may be used  in Equation 4-30 to calculate RFC.
    4.4.3.5.   LINEAR  UPTAKE  RESPONSE SLOPE OF  FORAGE CROP  (UC) --  The crop
chosen for UC  should  be  the one  showing  the highest response slope  appro-
priate for the exposure  scenario  involved.   Grains,  legumes  (such as soy-
beans), silage or grasses could be affected in agricultural use.
    4.4.3.6.   ADJUSTED   REFERENCE   INTAKE   (RIA) — Values   for   RIA  (in
yg/day)  are  derived  based on  health effects data  as  described  in Section
4.1.5.
    4.4.3.7.   WAITING  PERIOD (T)  — If  a  30-day waiting period  is assumed
as  discussed previously  (see  Section 4.4.3.3.),  then  a  value  of  T = 0.082
years  is  used  in  calculations dealing  with the  nonincorporation  scenario
(see  Section  4.4.2.2.2.).
4.5.   EXPOSURE PATHWAYS FOR TOXICITY  TO  HERBIVOROUS ANIMALS
    These  two  pathways  [sludge-soil-plant-animal  toxicity;   sludge-animal
toxicity   (direct   ingestion)]   are  similar  to  the  two  just  discussed.
However,  since  toxicity to the animal  itself  is now the endpoint of concern,
the  list  of animals to be considered is  broadened to include all herbivores
found  in  the agricultural  or  forest  environment.   For  example, herbivorous
                                     4-86

-------
rodents or birds  should  be  considered,  as well  as large herbivores and other
domestic animals.   However,  the  pathway for adherence  of  agricultural  soils
to plant  roots  still  is  limited to grazing animals  that  ingest significant
amounts of soil  (cattle,  sheep).
4.5.1.   Assumptions.  The  assumptions  pertaining to this  pathway have been
stated in Tables 4-1 and  4-17.
4.5.2.   Calculation Method.   The  calculations  for  these pathways  are  the
same  as  given  in  the  previous   section,  except  that  a  feed  concentration
corresponding to  a  toxicity threshold  in a  sensitive herbivore  should  be
substituted  for the reference feed concentration, RFC,  in all  calculations.
Since RFC was defined  as the increase  in  feed  concentration resulting in an
adverse condition in humans, RFC  is redefined for these pathways as follows:
                               RFC =  TA - BC                           (4-35)
where:
       RFC = reference feed concentration (pg/g OW)
       TA  = threshold feed concentration (pg/g DW)
       BC  = background concentration in feed crop (pg/g DW)
Equations 4-31  to 4-34 are  then used to determine criteria, in  the  form of
either RP or RSC.
4.5.3.   Input  Parameter Requirements.   The  focus  of  the methodology  for
these pathways  is the  identification of the appropriate  threshold feed con-
centration,  TA.   Procedures for selecting TA  are  generally  discussed  in
Section 4.1.3.  An  important source of relevant data for inorganic chemicals
is found  in  NRC (1980),  "Mineral Tolerances of Domestic Animals."  Values of
TA are  needed  for  various  types  of  herbivorous animals,  including  grazing
animals, many birds and many small mammals.
4.6.   SLUDGE-SOIL-PLANT TOXICITY EXPOSURE PATHWAY
4.6.1.   Assumptions.
                                     4-87

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    The assumptions pertinent to this pathway have been stated in Table 4-1.
4.6.2.   Calculation Method.
    Determination of criteria  for  this  pathway is straightforward,  involving
few or no  calculations.   A threshold phytotoxic application rate of the pol-
lutant,  TP   (in   kg/ha),   can  in  some  cases  be  derived  directly  from
phytotoxicity  studies.   If  the pollutant  is  not  subject  to loss,  then  a
reference cumulative application rate, RP  (in kg/ha), is simply
                                  RPc = TP                             (4-36)
    If the  pollutant is  subject  to  loss  from soils, then  RP  is derived  by
substituting  TP  for the  expression  RLC x  MS  x  10    either in  Equation
4-6,  if  a single  application  is to  be used, or Equation  4-13,  if multiple
applications are to be used.
    If   instead   of   TP,   a   value   of  the  threshold   phytotoxic   soil
concentration,  RLC   (in  yg/g DW),  is derived, then  RP is  calculated  using
either  Equation  4-3  (for  nondegrading  pollutants)  or  4-6  or  4-13,  as
appropriate (for degrading pollutants).
4.6.3.   Input  Parameter  Requirements.   The  focus  of  the methodology  for
this  pathway  is the  selection  of the  appropriate  application  rate  (TP)  or
soil concentration  (RLC)  that  corresponds to the threshold level for adverse
effects in plants.   The  threshold  is generally defined  in  Section  4.1.3.  as
the geometric mean  of  the  lowest  exposure   level  causing,  and the  highest
level   not causing,  a  significant adverse effect.   The  terms  "significant"
and "adverse" are further defined in that section.
    As for  uptake data, it would  be preferable to derive  these  values  from
sludge application  studies conducted  in  the field.   When such  data  are not
available, less appropriate data,  such  as from greenhouse  studies  or pesti-
cide application studies, may be used.
                                     4-88

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    Values  of TP  or RLC may  be available for  numerous  plant species for a
 given  chemical.    Ordinarily the  recommended procedure  is  to  identify the
 most  sensitive species  and ensure  that  it  will  be protected  by  the value
 selected,  unless  that  species  does not  grow in the  United  States (or in a
 given region,  if site-specific criteria are derived).
    Phytotoxicity  of metals may be  altered by  soil  pH.  If  TP or  RLC values
 can  be  segregated based  on pH (i.e.,  >6.0 or  <6.0),  then separate criteria
 can  be  established  on  this basis  as  well.  However,  criteria based  on  pH
 >6.0 should  be applied  only where soil pH is expected  to remain >6.0 without
 addition of  lime.
 4.7.   EXPOSURE PATHWAYS FOR TOXICITY TO SOIL BIOTA AND THEIR PREDATORS
    This  section  deals  with  two pathways:   toxicity  to  soil biota (sludge-
 soil-soil  biota  toxicity)  and  toxicity  to predators  of  soil biota (sludge-
 soil-soil  biota-predator toxicity).   As  explained  in  Section 3.1.6.,  the
 term "soil biota"  is intended  to refer to a broad range of organisms includ-
 ing  microorganisms  and  various  invertebrates  living  in  or  on   the  soil.
 Their predators  similarly include a variety  of  organisms.   The availability
 of data determines what  species are considered.
 4.7.1.    Sludge-Soil-Soil Biota  Toxicity  Exposure Pathway.   Procedures  for
 this  pathway  are  identical  to  those   described  above  for  phytotoxicity
 (Section  4.6.),  except  that the  threshold  levels,  TP  and  RLC,   deal  with
 effect thresholds  in  soil biota  rather than in  plants.  As was touched on  in
Section  4.1.3.,  "adverse"  effects  can be  particularly difficult  to  define
where microorganisms  are  concerned.  It  is assumed that long-term  reductions
 in  soil   microbial   activity  or  diversity that  can  be  attributed  to  the
chemical  should be considered adverse in  lieu  of information to the  contrary.
                                     4-89

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4.7.2.   Sludge-Soil-Soil Biota-Predator Toxicity Exposure Pathway.
    4.7.2.1.   ASSUMPTIONS — In addition  to many of  the  assumptions  listed
in  Table  4-1,  some additional  assumptions  pertinent to  this  pathway  are
stated in Table 4-19.
    4.7.2.2.   CALCULATION  METHOD — Calculations   of  criteria   for   this
pathway  may  take  either  of  two  forms,  depending  on   the  type  of  data
available concerning  contaminant uptake  by soil biota.   If  uptake response
(that is, the  increase  of concentration) in soil biota, UB, can be  expressed
in  terms  of a  pollutant application rate,,  then criteria  are  calculated  as
follows:
                                     TA - BB
                                RP =
                                       UB
                            (4-37)
where:
       RP = reference application rate of pollutant (kg/ha)
       TA = threshold feed concentration for the predator (yg/g DW)
       BB = background concentration in soil biota (yg/g DW)
       UB = uptake response slope in soil biota [yg/g (kg/ha)-1]
    If the  chemical  is  not subject to  degradation  or loss in  soil,  RP  is  a
cumulative  rate  (RP ).   Otherwise, the value  of  RP from  Equation  4-37 can
                    I*
be  substituted  for  the  expression  RLC  x MS x  10~3  in  Equation 4-6  to
derive a single-application  rate,  RP   ,  or  in Equation  4-13 to derive  an
annual rate, RP .
               3
    If soil biota  response  is measured  in  terms  of a soil concentration,  as
is more often the case,  the following equation is used:
                                   TA - BB
                             RLC =
                                     UB
+ BS
(4-38)
                                     4-90

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                                 TABLE 4-19

               Assumptions  for  Sludge-Soil-Soil  Biota-Predator
                         Toxicity  Exposure  Pathway
  Functional Area
     Assumption
Ramifications/Limitations
Contaminant uptake by
soil biota
Use of available data
to protect a variety
of species
Response in tissues
of soil biota can be
represented by a
linear function.

It is assumed that use
of the highest avail-
able response slope in
soil biota and the low-
est available dietary
threshold in predators
will result in protec-
tion of untested species,
Probably oversimplifies
a more complex relation-
ship.
This conservative assump-
tion could be overprotec-
tive of some species; the
extent to which it under-
protects others is
unknown.  A "match" of
data for a consumed organ-
ism and its predator
usually is not possible.
                                     4-91

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where:
       RLC = reference soil concentration of pollutant (yg/g DW)
       UB = uptake response slope in soil biota [y/g (yg/g)~l]
       BS = background soil concentration of pollutant (yg/g DW)
and other parameters  are as defined above.  RLC is then used in Equation 4-3
(for nondegrading chemicals)  or Equations 4-6 or  4-13  (for degrading chemi-
cals), as appropriate.
    4.7.2.3.   INPUT PARAMETER REQUIREMENTS —
    4.7.2.3.1.   Threshold  Feed Concentrations  for the  Predator (TA)  —  A
wide  variety  of organisms  may prey on  soil  invertebrates,  including  birds
and insectivorous mammals.   For a given  chemical,  information  on subchronic
or chronic  toxicity  for  oral  administration may be  available for only a few
species, and  thus the value chosen for  TA  may  be  for a species not actually
preying on  soil  biota.   In general, the  lowest  dietary adverse effect level
(and the accompanying  no-adverse-effect  level)  found for birds or small mam-
mals are  used to determine the threshold.   The threshold  is  calculated  as
discussed in Section 4.1.3.
    4.7.2.3.2.   Uptake  Response  Slope  in Soil  Biota (UB)  — UB  may take
any of  several forms, depending  on the characteristics of  the chemical and
the data available.   UB  is derived by linear regression of tissue concentra-
tion on  either pollutant application rate  or soil  concentrations,  depending
on which  is reported.   Use of a  pollutant application rate is preferable.
As for plant  and  animal  tissues (see Section 4.1.2.),  two  or more points are
needed to derive  the  slope for inorganics; for synthetic organic compounds  a
single data pair can be used to derive a bioconcentration factor.
    The highest available  uptake  response slope will be used to estimate the
level   of  dietary contamination to which predators of  soil biota  would  be
subject.  This  fact is  important  to bear  in mind when evaluating  data for
                                     4-92

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 earthworms.   Some studies  go to  lengths  to distinguish between  contaminant
 physiologically  absorbed  and that  which  is  due  to the  gut contents  (the
 "cast")  or soil  contamination of  the  sample.  While  one  may "suspect  that the
 absorbed   contaminant   is   rendered  more  available  to  the  higher   trophic
 levels,  this is  probably  not proven  or  quantified.   Since a predator would
 ingest  the gut  contents  as  well  as  the  rest  of  the  organism,  there is no
 need  to distinguish between  absorbed and  unabsorbed contaminant.   Wherever
 possible,  analyses used should be  based on the whole  organism.
    4.7.2.3.3.   Background  Concentration in Soil  Biota "(BB)  -- This value
 should be  obtained from the same study from which UB  was  derived.
 4.8.   EXAMPLE CALCULATIONS             -
    In this  section,  examples will be provided for each  of the criteria  cal-
 culation  procedures  for the  different terrestrial  food-chain pathways  des-
 cribed in  Sections 4.2-4.8.
    One  of the most  important steps  in criteria calculations is the selec-
 tion of  values for each of the parameters involved.  Value selection must be
 based on  careful  literature searches and evaluations of available data.  For
many parts of this methodology,  value-selection will be a very data-inten-
 sive exercise.   Since  the  calculations  presented  in this  section are  only
 for the  purpose  of examples,  the values employed will not be based on liter-
ature searches, but will  rely on a few'sources  of readily available informa-
tion.	Therefore,  the  results do  not constitute actual  recommendations  for
criteria.   The   toxic  metal  cadmium  and  the organic  compound  hexachloro-
benzene (HCB) are used  for the following examples.
                                     4-93

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4.8.1.   Sludge-Son-Plant-Human Toxicity Exposure Pathway.

    4.8.1.1.   PROCEDURE  BASED  ON  CURVILINEAR  ("PLATEAU")  UPTAKE  RESPONSE

MODEL AND RELATIVE UPTAKE RESPONSE VALUES —

Step A. Determine Relative Uptake Response Values for Each Crop

Equation 4-17

                                        UCA
                                 RUAI -
                                        UCJ
where:
            = uptake response for crop A relative to index crop
              (unitless)

            - linear response slope of crop A [yg/g (kg/ha)-1]

       UCj  = linear response slope of index crop [yg/g (kg/ha)-1] in
              the same experiment in which UCA was measured

Equation 4-18 (an alternative procedure to Equation 4-17)

                                      A2 - A-|

                                    ~ 12 - 11

where A_ denotes tissue concentration of crop A in soil 2, etc.

Data Examples for Cadmium (Source:  Dowdy and Larson, 1975)
    Crop type
    Linear response slope,  UC [yg/g (kg/ha)-*]
    Tissue concentration (mean)  (yg/g)
    Control tissue concentration (yg/g)

Example Calculation of Equation  4-17

                          RU   = 0.20/0.605 = 0.33

Example Calculation of Equation  4-18
                                                      Crop
                                                        A
                                                     Carrot
                                                      0.20
                                                      0.93
                                                      0.48
RUAI =
                                0.93  - 0.48
                                1.89  - 0.61
                                             = 0.35
                                         Index Crop
                                             I
                                         Lettuce
                                          0.605
                                          1.89
                                          0.61
                                     4-94

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     In this last example,  the  mean of tissue concentration from three treat-

 ments  was  used  for  A2  and l^  and the  control  concentration  tissue  con-

 centration  was  used  for A  and  I  .

 steP B.	Determine Relative Uptake  Response Values  for Each Food Group

 Data Examples for Cadmium

    For  the "root vegetable" food  group,  two crops have  values  of RU (Dowdy

 and  Larson, 1975).   Consumption  data  from Appendix  1  are used  to derive  a

 weighted  average RU.   Consumption  data for the 25- to 30-year-old male  are

 used.
    Crop type                                        Carrot
    Relative uptake  response  value, RU  (unitless)    0.33
    Dry-weight consumption  (g DW/day)                0.55
                                                       Radish
                                                        0.093
                                                        0.021
Example Calculation for Weighted Mean  (Equation not presented  in text)

            RUroot veg. - <0-33x0.55) * (0.093 x 0.021) =
                                   0.55 -i- 0.021

5i£e—C.	Determine   the  Reference  Tissue  Concentration  Increment  for the

Index Crop

Equation 4-20
                      RTI  =
                                     RIA
                             I (RU-j  x  OC-j  x  FC-j)
where:
       RTI



       RIA


       RUj




       FCn
= reference   tissue   concentration   increment   in  index  croo
  (yg/g DW)

= adjusted reference intake (jag/day)

= relative uptake response for ith food group (unitless)

= daily dietary consumption of ith food group (g DW/day)

= fraction   of   food   group   assumed   to   originate   from
  sludge-amended soil (unitless)
                                     4-95

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Data Examples for Cadmium

    Values of RU  in  this example are based  on  very few crops (data of Dowdy

and Larson,  1975).   Values  of DC are obtained from Table 4-2 (and Appendix 1

for legumes).   DC  values chosen are those for the age/sex group with highest

consumption  of  that  food group.  Values of  FC  are those for the home garden

scenario,  from  Table 4-12.   The only legume data  available  in  this example

data set  are for pea pods and pea fruit.  The mean RU value will be used for

dried  legumes  as well.  The  RIA value  for cadmium is not  based on Equation

4-14,  as  would normally be  the case, since an  Agency-approved  RfD value is

still  pending.   Instead,  the  FAO/WHO  (1972)  provisionally  tolerable daily

intake  of 57-71  pg/day is  used to  derive  a  mean of  64 yg/day.   When the

Agency's  RfD value for cadmium  is determined it should be used to derive the

RIA  based on Equation  4-14.   The  value of BCj  in this example  is 0.61 jjg

Cd/g and  is that  for lettuce  from Dowdy and  Larson  (1975).   In actuality,
BC  should be taken from the study from which RSC is derived.
         Food Group

Potatoes
Leafy vegetables
Legume vegetables, nondried
Legume vegetables, dried
Root vegetables
Garden fruits
Grains and cereals
Peanuts
Mushrooms
TOTAL
     RU
DC
             FC
RU X DC x FC
0.063
1.0
0.008
0.008
0.32
0.12
	
	
	
31.85
2.78
3.38
8.51
2.28
5.94
	
	
	
0.45
0.60
0.60
0.17
0.60
0.60
0
0
0
0.903
1.668
0.016
0.012
0.438
0.428
0
0
0
                                    3.465
Example Calculation
                     RTI =
64 ug Cd/dav
3.465 g/day
= 18.5
       Cd/g
                                     4-96

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 Steps  D and E.  Sort Available  Uptake Response Data for the  Index Crop, and

 Determine  Plateau  Increment Values for the  Index Crop

 Data Examples  for  Cadmium

    Examples  are not readily available  for these  very data-intensive steps.

 Therefore  a hypothetical  data set for response in lettuce will be created to

 illustrate  these steps.   For each hypothetical study,  it  is stated whether

 soil  pH (when  the plateau was  achieved)  was <6.0  or  >6.0,  and  whether the

 plateau  was observed  in  the first  year of  sludge  application or  after >1

 year.   The sludge  concentration  (SC,  in pg/g DW) of  cadmium is  listed, and

 the  plateau  increment  value (PI,  in  vg/g  DW),  which  is  assumed  to  have

 been  confirmed  by appropriate  statistical  techniques  and represented  by  a

 95% confidence  limit, is also listed.
    Stud\
      1
      2
      3
      4
      5
      6
      7
      8
<6.0
>6.0
Year

first

multi

first
multi
                                                SC
                                  DM)
200
 10
200
 15
300
300
200
 15
   PI
(ug/g DW)

   50
    5
   30
    3
   20
   10
   12
    2
Step F.  Determine Reference Sludge Concentration (RSC) Not Causing Reference

Tissue Concentration Increment (RTI) to be Exceeded

    Four  groupings  of  studies 1-8  are  possible  based  on soil  pH and  on

whether  the  data  are  from  a  first-year or multi-year  study,  as  shown  in

Table 4-8.                               ;..''...

Group A:  Soil  pH >6.0  or <6.0; multi-year or first-year data

    All  eight  hypothetical  studies  can  be included  in  this category,  but

studies  with  pH  <6.0  and first-year  response data  are  included  only  if

necessary to round out the available data.   Studies  6, 7  and 8 yield three P
                                     4-97

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values (10,  12  and  2  yg Cd/g,  respectively),  all of  which are  well  below
the  RTI  value  of  18.5  yg  Cd/g.   Assuming that  these sludges  represent  a
variety of  sludge  types and  study  conditions,  the highest SC  value,  300  yg
Cd/g,  can  be  selected  as  the  RSC.   Examination of  all  other  uptake  data
(i.e.,  including  studies  not  showing a  plateau) must  also  show that  no
sludge with  SC  <300 yg  Cd/g will  cause  RTI  to be exceeded  in a multi-year
study using  soil pH  >6.0,  regardless of the annual or cumulative application
rate.  If  this  were an actual  value,  based on expert  evaluation  of all  the
available  data,  this would  indicate that  all  sludges having  SC of 300  yg
Cd/g  or  lower   could  be  applied  at  unlimited  cumulative  rates to  soils
expected to  remain >6.0  without pH control measures.   Although no cumulative
rate  would  apply,  an annual  Cd  rate  would apply since  crops  in  the  first
year  of  sludge  application  could  have a  higher cadmium  content (see  Table
4-8).  The annual   Cd  rate  would  have to  be  less  than  the  highest  rates
employed  in  study  5,  for example,  since  RTI was exceeded  at  the  plateau.
The  annual  rate is  determined  based  on further evaluation of  rates used  in
studies 5-8, or based on the procedure using the linear model.
Group B:   Soil pH <6.0 only; multi-year or first-year data
    Studies  1-4  are  potentially included  in this group; studies 1 and 2 are
included  only if  needed to  augment  the  available  data.   Studies 3 and  4
Indicate that sludges with  SC of 200  yg  Cd/g may cause RTI  to be exceeded,
but  those  with  SC  of  <15  yg  Cd/g  will  not.  Studies 1  and  2 strengthen
this  conclusion; therefore, RSC is set at 15 yg Cd/g.  If  an  actual  value,
this would mean  that sludges not exceeding this  cadmium concentration  could
be  applied  in unlimited  cumulative amounts to  all  soils regardless  of pH.
An annual application rate would still apply,  however.
                                     4-98

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 Group C:  Soil pH >6.0 or <6.0;  first-year only
     Studies 1, 2  and  5  potentially fit this group.   Study 5 shows only that
 one sludge  with  SC of  300 yg  Cd/g  will  just  cause RTI  (18.5  yg Cd/g)  to
 be exceeded.   Therefore  studies 1  and 2  must  be included as well, and  they
 indicate that  an  SC of  200 yg  Cd/g caused  RTI  to  be exceeded in  the  first
 year,  but  that an SC  of 10  yg Cd/g did  not.   Based on  these observations
 an RSC  of  10  yg  Cd/g   is  determined.    If an  actual   value,  sludges  not
 exceeding  this concentration  could be applied  with no annual or  cumulative
 rate  limit  to  soils  expected to  remain at  pH  >6.0 without  liming.
 Group  D:  Soil  pH  <6.0 only; first-year data  only
    Only studies  1 and 2  may  be considered.  These  studies show only that  an
 SC of 200  yg  Cd/g  caused  RTI  to  be substantially  exceeded  and  that an  SC
 of 10 yg Cd/g stayed well  under  the RTI.   RSC would be  set  at  10 yg Cd/g
 if the data were  judged  to be  reliable.   If  an actual  value,  sludges not
 exceeding RSC  =  10  yg Cd/g could  be applied to all  soils regardless  of  pH
 and without  annual or cumulative rate limits.
 steP	
-------
Example Calculation
                  RTI  = 18.5 pg Cd/g x 0.33 = 6.1  pg Cd/g
                     O
    Steps D-F  are then  repeated  using plateau data and  other  response  data
for the substitute crop.  RSC is adjusted downward  if necessary.
    4.8.1.2.   PROCEDURE BASED  ON LINEAR UPTAKE RESPONSE MODEL  AND RELATIVE
UPTAKE RESPONSE VALUES —
Steps A-C
    Steps  A-C  are   identical  to  Steps  A~C  using  the  curvilinear  uptake
response model.  For cadmium, an RTI of 18.5 pg Cd/g is derived.
Steps D-E
    Steps  D-E utilize a  sorting procedure  identical  to that described  for
the  curvilinear approach,  except  that values of  the  uptake  response  slope
(UC) for the  index crop are sorted, rather than plateau values (P).
Step F.  Determine Reference Application Rate of the Pollutant (RP)
Equation 4-23
                                RP = RTI/UC,
where:
       RP
       RTI
                                           'I
             = reference application rate of pollutant (kg/ha)
             = reference  tissue concentration  increment of  index crop
               (yg/g
       UCj   = uptake response slope of index crop [pg/g (kg/ha)-i]
Data Examples for Cadmium
    Index crop               RTI
    Lettuce                  TsTs
Example Calculation
              RP = (18.5 pg Cd/g)/[0.605
                 = 30.6 kg Cd/ha
                                                            UCi
                                                           0.605
                                                           "1
                                            Cd/g (kg Cd/ha)"]
                                     4-100

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Step  G.   Check  the  Reference  Application Rate  of  the  Pollutant  (RP)  by
Substituting Other Crops for the  Index Crop
Data Examples for Cadmium
    RTI  is derived using Equation 4-21, as shown previously.
                                                            UCs
Substitute Crop
Carrot
RTIs
 6.1
                                                            0.20
Example Calculation (see Equation 4-23. above)
                RPS = (6.1  pg Cd/g)/[0.20 pg Cd/g (kg Cd/ha)-i]
                    = 30.5  kg Cd/ha
    RPS  is  in  virtual  agreement  with  RP  (except  for  rounding  error)
because both of  the UC values used were also used to derive values of RU and
RTC.   This  will  not  always be  the  case, however,  since values  of  UC from
different sorting  groups established  in Steps D and E will be used to calcu-
late various values of RP,  as shown in Table 4-10.
Step  H.   Ad.iust  the Reference  Application  Rate  of  the  Pollutant  (RP)  for
Phytotoxic Effects
    A  maximum  pollutant  application  rate  RPM.  (kg/ha) based  on  phyto-
toxicity is determined for each crop group used to calculate RTC.
Equation 4-24
where:
                   RPMi  = (TU  - BCi)/(RUi  x  UCj)

   TLi    = maximum tissue concentration  for crop category  i,  above
           which  crop production  is virtually eliminated by  phyto-
           toxicity (pg/g DW)
   BCi    = background  concentration  for crop  category  i  (pg/g  DW)
   RU-j    = relative  uptake   response  value   for  crop   category   i
           (unitless)
   UCj    = uptake  response slope  for  index crop,  used  to determine
           the  RP  value  being adjusted [pg/g  DW  (kg/ha)-i]
                                     4-101

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Data Examples for Cadmium
    Data for RU,  DC  and FC (which will be needed below) are those used above
to determine  RTI.  Data  for  TL and  BC are matched  values (i.e.,  from the
same study) and are selected or estimated from U.S. EPA (1985e).
      Croc
RU
TL
NA
668
28.2
28.2
29.8
15
BC
NA
12.2
5.7
5.7
2.4
0.1
DC
31.85
2.78
3.38
3.38
2.28
5.94
FC
0.45
0.60
0.60
0.17
0.60
0.60
RPMi
NC
1084
4649
4649
142
205
t. (subscrip
0.903 (k)
1.668 (k)
0.016 (k)
0.012 (k)
37.5 (j)
53.1 (j)
Potatoes           0.063
Leafy vegetables   1.0
Legume vegetables,
 nondried          0.008
Legume vegetables,
  dried            0.008
Root vegetables    0.32
Garden fruits      0.12
    RPM,  for each  crop group  is  compared  with  RP.    If  RPM.  RP  (31.6 kg  Cd/ha)  for
all  crops,  indicating that  phytotoxicity  will not occur in  any  crop before
RTC is reached in the reference crop.
    To demonstrate  what should  be done if  RPM.  
-------
         RTI =    r640-(37.5+53.1)1pqCd/daV
               (0.903 + 1.668 + 0.016 + 0.012)'g/day

RP is now calculated using Equation 4-23, as shown previously.

         RP = (211 yg Cd/g)/[0.605 vg Cd/g (kg Cd/ha)'1]

            = 349 kg Cd/ha

    The adjusted  RP  is  somewhat higher (349 >306)  because the Cd concentra-

tions  in  root vegetables  and  garden fruits  have been  held  at their phyto-

toxic tissue concentrations, and have not been allowed to exceed them.

    4.8.1.3.   PROCEDURE BASED  ON  LINEAR  UPTAKE RESPONSE MODEL WITHOUT USING

RELATIVE UPTAKE RESPONSE VALUES —

Steps  A  & B.  Sort  Available  Uptake  Response  Data for All  Food  Crops,  and

Determine Uptake Response Slopes for Each Food Group

Data Examples for Cadmium

    Sorting  of  studies  according  to  soil pH  and  whether a  first-year or

multi-year study  is  done  as shown  previously.   Using the  data  of  Dowdy  and

Larson (1975)  (pH >6.0;  first-year  response  data), response  slopes  for  two

crops are used to derive a weighted mean response slope for the "root veget-

able"  food  group.   Consumption data  are those  for the  25-  to  30-year-old

male, from Appendix 1.
    Crop type
    Linear uptake response slope, UC [pg/g (kg/ha)-*]
    Dry-weight consumption (g DW/day)
                              Carrot  Radish
                               0.20    0.056
                               0.55    0.021
Example Calculation of Weighted Mean (equation not presented in text)
                UCpoot  veg. =
(0.20 x 0.55)  + (0.056 x 0.021)
         0.55  + 0.021
                            = 0.19 yg Cd/g (kg Cd/ha)
                                                     —i
                                     4-103

-------
Step C.  Determine Reference Application Rate of Pollutant (RP)

Equation 4-26

                                       RIA
                         RP = —
where:
                              .2  (UCi x DC-j x FC-j)
       RP    = reference application rate of pollutant (kg/ha)

       RIA   = adjusted reference intake (ng/day)

             = uptake response slope for ith food group
               [pg/g DW (kg/ha)-i]

             = daily dietary consumption of ith food group  (g DW/day)

       FC-j   = fraction  of  food  group assumed  to  originate  from sludge-
               amended soil (unitless)
Data Examples for Cadmium

    The  UC  data  set from Dowdy  and  Larson (1975) is  used  to  illustrate this

step.   Values  of  DC,   FC  and  RIA  (64  yg  Cd/g)  are  the  same  as shown

previously.

   Food  Group                 UC      DC       FC      UC x DC x FC
Potatoes
Leafy vegetables
Legume vegetables,
 nondried
Legume vegetables,
  dried
Root vegetables
Garden fruits
0.038
0.605
31.85
 2.78
0.0053  3.38
0.0053
0.19
0.073
 8.51
 2.28
 5.94
0.45
0.60

0.60

0.17
0.60
0.60
0.545
1.009

0.011

0.008
0.260
0.260
TOTAL
                            2.093
 Example  Calculation of  Equation 4-26

                             64 vig  Cd/day
                   RP =
                        2.093  pg/day  (kg/ha)-i
                  =30.6 kg/ha
                                      4-104

-------
 Step  D.   Ad.iust  the  Reference  Application Rate  of the  Pollutant  (RP) for
 Phytotoxlc Effects
    The  procedure  for adjusting RP (using Equation  4-27)  is nearly identical
 to that  shown previously using Equation 4-25, and will not be repeated here.
    This  value  of  RP (30.6 kg  Cd/ha)  is  in  agreement  with that calculated
 using   the   previous   procedure,  because  the  same  data   set  was  used.
 Ordinarily,  UC  values  for  various  crops  would  be obtained  from different
 studies when this procedure  is used.
    The  interpretation  of RP depends on  the data sort  (Step A  of this pro-
 cedure) from which the UC values were taken, as explained in Table 4-10.
 4.8.2.   Sludge-Human Toxicity (Soil Ingestion) Exposure Pathway.
    4.8.2.1.   CALCULATION   OF   ADJUSTED   REFERENCE    INTAKE   (RIA) — The
 organic compound hexachlorobenzene  (HCB)  will  be used as  an example.  Since
 HCB is a carcinogen, Equation 4-16 is used.
 Equation 4-16
                              /
                                  x bw
                       RIA «
                       /RL )
                       Vh*
                                   x REi
- TBI
X 103
where:
       RIA   = adjusted reference intake (pg/day)
       q-|*   = human cancer potency [(mg/kg/day)-1]
       RL    = risk level  (unitless) (10-s,  10-*, etc.)
       bw    = human body weight (kg)
             = relative effectiveness  of ingestion exposure (unitless)
RE
TBI
             = total background intake  rate  of  pollutant (mg/day);  from
               all other sources of exposure
       IQa   =  conversion factor (yg/mg)
Data Examples for HCB
    The human  cancer potency (q *) for HCB  has been determined by  the  U.S.
EPA to  be 1.7  (mg/kg/day)'1  (U.S.  EPA,  1985c).   RL, bw  and  RE are  set  at
                                     4-105

-------
10
  —6
10  kg  (for  a  1-year-old  child)   and  1.0  for  this   example.    A
current TBI of  HCB  from all other sources has  not  been determined for 1986;

for illustrative purposes a value of  0 is used here.

Example Calculation of Equation 4-16

                              10~6 x  10 kg
                  RIA =
                                          - 0  x  103
    4.8.2.2.

Equation 4-28
                  1.7 (mg/kg/day)-i x 1.0

               =  0.0059  yg/day  for  a  10-kg  child

        CALCULATION OF REFERENCE SOIL CONCENTRATION (RLC)  —
                             RLC  =  RIA/(Is  x  DA)
                                                                (4-28)
where:
       RLC = reference soil concentration of pollutant (yg/g DW)
       RIA = adjusted reference intake (yg/day)
       Is  = soil ingestion rate (g DW/day)
       DA  = exposure duration adjustment (unitless)
Data Examples for HCB

    RIA  is  0.0059 yg/day  for a  10-kg  child,  as  derived  above.  I$  and  DA

are 0.5 g/day and 0.07, as explained in Section 4.3.3.

Example Calculation of Equation 4-28

                RLC = (0.0059 yg HCB/day)/(0.5 g/day x 0.07)

                    = 0.17 yg HCB/g soil

    4.8.2.3.   CALCULATION  OF  REFERENCE  SLUDGE  CONCENTRATION  (RSC) -- If

sludge  is  not  soil-incorporated,  and  assuming that  immediate  potential

exists for exposure of children, then RSC = RLC = 0.17 yg HCB/g.

    4.8.2.4.   CALCULATION OF  REFERENCE ANNUAL APPLICATION RATE OF POLLUTANT

(RP ) — Assuming  that  sludge will  be  soil-incorporated  and that  annual
   3
applications will be made, Equation 4-13 is used to calculate RP  from RLC.
                                     4-106

-------
Equation 4-13
  RPa = RLC x MS x 10~3 x ekT [1 + De k

where:
                                          D2e 2k +
Dn-le(l-n)k]
            -1
       RPa    = reference annual application rate of pollutant (kg/ha)
       RLC    = reference soil concentration of pollutant (ng/g DW)
       MS     = 2x103 t/ha = assumed mass of soil in upper 15 cm
       10-3   = conversion factor (kg/g)
        e     = base of natural logarithms, 2.718 (unitless)
        k     = loss rate constant (years-*)
        T     = waiting (or land-use conversion) period (years)
        D     = (MS-ARa)/MS
       ARa    = annual application rate (t DW/ha)


Data Examples for HCB

    RLC  is  0.17  yg  HCB/g  soil,  as  determined above.  A  k value  of  0.165

years 1  (corresponding   to   a  soil   half-life  of  4.2  years;  U.S.   EPA,

1985f)  is  used.   No  waiting  period will  be assumed  (T  =0).  AR   is  5 Mg
                                                                   3
DW/ha  and  therefore  D  = 0.9975  *  1.0.  The  number of annual  applications

is assumed to  be  infinite,  and therefore n  =  5.6/k = 5.6/0.165 = 34 will be

used, as explained in Section 4.1.1.3.2.

         RPa = 0.17 vg HCB/g x 2000 t/ha x 10~3 kg/g x e° x
               [1  + 1 e-0.165 + 12 e-2(0.165) + ...  + 133 e-33(0.165)]-i

             = 0.17 vg HCB/g x 2000 t/ha x 10~3 kg/g x 1  x  [6.6]"1

             = 0.052 kg HCB/ha

4.8.3.   Exposure Pathways for Herbivorous Animals for Human Consumption.

    4.8.3.1.    CALCULATION  OF  REFERENCE   FEED  CONCENTRATION   (RFC) — The

toxic metal  cadmium will be  used as  an  example.  Equation 4-30  is  used to

calculate RFC.   Calculations  for the  "uptake"  pathway  (sludge-soil-plant-

animal-human   toxicity)   and   "adherence"   pathway   [sludge-animal(direct

ingestion)-human  toxicity] are presented.
                                     4-107

-------
Equation 4-30
                          RFC =
                                        RIA
where:
       RFC
                   (UAi  x  DAi x  FAi)
reference feed concentration of pollutant (yg/g OW)
       RIA   = adjusted reference intake of pollutant in humans (vg/day)
       UAi   = uptake  response  slope of  pollutant in  the  ith animal  tissue
               [yg/g tissue DW (yg/g feed DW)-i]
       DA-j

       FA,
daily  dietary consumption  of  ith  animal  tissue food  group
(g DW/day)
fraction  of   food  group assumed  to  be  derived  from  sludge-
amended soil  or feedstuffs
Data Examples for Cadmium
    The  RIA  of  64  yg/day  was  explained  previously.   Values   of  UA  for
various  animal  tissues are  taken from U.S. EPA  (1985e)  (converted from wet
to  dry weight  basis).   The  value  listed  for  "beef  liver"  is actually from
sheep  kidney;  it is the highest  UA value  for an organ meat,  since the beef
liver  consumption  data  are assumed  here  to  represent any organ  meat.   No
data were  available for pork;  an average of the values for beef and lamb was
used.   Data were  also  unavailable for  eggs   and  dairy  products.   In this
example  they are assumed  to be  similar  to poultry  muscle  and beef muscle,
respectively.   The  DA values are derived from Table  4-2.   They include fat,
since  the  UA  values  are  on  a  dry  weight  (including fat)  basis.   The  FA
values   are  from  Table 4-18;  they  differ  for  the  uptake   and  adherence
pathways.
                                     4-108

-------
Animal
Tissue
Group
Beef
Beef liver
Lamb
Pork
Poultry
Dairy
Eggs
UA
0.003
9.9
0.005
0.004
0.08
0.003
0.08
DA
56.2
1.22
0.37
32.7
11.0
83.1
11.5

Uptake
0.44
0.44
0.44
0.44
0.34
0.40
0.48
FA
Adherence
0.44
0.44
0.44
0
0
0.40
0
UA x DA x FA
(when FA/0)
0.074
5.31
0.0008
0.058
0.30
0.10
0.44
     TOTAL
           6.29
Example Calculation of Equation 4-30
For the uptake pathway:
                             64,fl/day  , -            g
                             6.29 g/day
For the adherence pathway:
          RFC =
                             64 yig/day
= 11.7 wg Cd/g
                [6.29  - (0.058 + 0.30 + 0.44)]  g/day
    4.8.3.2.   CALCULATE A REFERENCE APPLICATION RATE FOR THE UPTAKE PATHWAY
Equation 4-31
                                RP  = RFC/UC
where:
       RPC = reference cumulative application rate of pollutant (kg/ha)
       RFC = reference feed concentration of pollutant (yg/g DW)
       UC  = linear response slope of forage crop [yg/g crop DW (kg/ha)-i]
Data Examples for Cadmium
    RFC  for  the uptake  pathway  is  10.2  yg Cd/g as calculated above.   A UC
value  of  0.14  yg  Cd/g  (kg  Cd/ha)"1  based  on corn  silage  will  be  used
(U.S. EPA, 1985e).
Example Calculation of Equation 4-31
              RPC  = (10.2  yg Cd/g)/(0.14  yg  Cd/g[kg  Cd/ha]'1)
                   = 72.9 kg Cd/ha
                                     4-109

-------
    4.8.3.3.   CALCULATE  A  REFERENCE  APPLICATION  RATE   FOR  THE  ADHERENCE
PATHWAY,  ASSUMING  SOIL INCORPORATION  OF SLUDGE -- A  reference  soil  concen-
tration of pollutant RLC (yg/g DW) is first calculated using Equation 4-33.
Equation 4-33
                             RLC  = (RFC/FL)  + BS
where:
       RFC = reference feed concentration of pollutant (yg/g DW)
       FL  = fraction of diet that is adhering soil (g soil DW/g diet DW)
       BS  = background soil concentration of pollutant (vg/g DW)
Data Examples for Cadmium
    RFC  for the  adherence  pathway  is  11.7 yg  Cd/g, as  calculated  previ-
ously.   FL is  0.10,  as  explained in  Section  4.4.3.3.   BS  is 0.2 yg  Cd/g
(U.S. EPA, 1985e).
Example Calculation for Equation 4-33
          RLC  = [(11.7  yg  Cd/g)/0.10]  + 0.2  yg Cd/g = 117.2 yg  Cd/g
A reference application rate is next calculated  using Equation 4-3.
Equation 4-3
                          RP =  (RLC-BS)  x MS x 10~3
where:
       RP   = reference application rate of pollutant (kg/ha)
       RLC  = reference soil concentration of pollutant (yg/g DW)
       BS   = background concentration of pollutant in soil (yg/g DW)
       MS   = 2xlOa t/ha = assumed mass of soil  in upper 15 cm
       10-3 = conversion factor (kg/g)
Data Examples for Cadmium
    RLC is 117.2 yg Cd/g,  as calculated above, and BS is 0.2 yg Cd/g.
Example Calculation of Equation 4-3
         RP = (117.2 yg Cd/g - 0.2 yg Cd/g) x 2000 t/ha x 10~3 kg/g
            = 234 kg Cd/ha
                                     4-110

-------
    4.8.3.4.   CALCULATE A  REFERENCE SLUDGE CONCENTRATION  FOR  THE ADHERENCE
PATHWAY, ASSUMING SLUDGE IS NOT SOIL-INCORPORATED —
Equation 4-34
where:
                                  RSC = RFC
                                        FS
       RSC = reference sludge concentration (yg/g DW)
       RFC = reference feed concentration (yg/g DW)
       FS  = fraction of animal diet which is sludge (unitless)
Data Examples for Cadmium
    RFC  is  11.7  yg Cd/g as calculated  above.   FS is 0.08  if  a  30-day wait-
ing period before grazing or harvesting is assumed (see Section 4.4.3.3.).
Example Calculation of Equation 4-34
                   RSC =  (11.7  yg  Cd/g)/0.08  =  146 yg Cd/g
4.8.4.   Exposure Pathways for Toxicity to Herbivorous Animals.
    4.8.4.1.   CALCULATE  A  REFERENCE  FEED  CONCENTRATION  —For  the  uptake
pathway  (sludge-soil-plant-animal  toxicity), a  wider variety of  herbivores
may  be  affected  than  for  the  adherence   pathway   (sludge-animal  toxicity
[direct ingestion]),  which  affects  only grazing animals.  An example will be
shown for the uptake pathway.
Equation 4-35
                                RFC  = TA - BC
where:
       RFC = reference feed concentration  (yg/g DW)
       TA  = threshold feed concentration  (yg/g DW)
       BC  = background concentration in feed crop (yg/g DW)
Data Examples for Cadmium
    TA  is  calculated  as  a  geometric  mean  of levels  just causing and  not
causing  an  adverse  effect,  as  described in  Section  4.1.3.   In a  48-week
study  with  chickens,  feed  concentrations  of   3  and  12 yg  Cd/g (added  as
                                     4-111

-------
     )  showed  no  adverse effect  and decreased  eggshell  thickness,  respec-

tively  (U.S.  EPA,  1985e).   A geometric  mean  of  (3xl2)1/2 = 6  pg Cd/g  is

calculated.  A  BC of 0.1 pg Cd/g is typical of corn grain.

Example Calculation of Equation 4-35

                 RFC = 6 pg Cd/g - 0.1 pg Cd/g = 5.9 pg Cd/g

    4.8.4.2.    CALCULATE  A REFERENCE APPLICATION  RATE OR  REFERENCE SLUDGE

CONCENTRATION — Criteria  derivation   procedures  for  the  herbivorous animal

toxicity  pathways  utilize Equations  4-31  to 4-34, as  have just been demon-

strated.

4.8.5.   Sludge-Soil-Plant  Toxicity  Exposure  Pathway.  No  calculations are

required for  this  pathway, except in  some cases to convert RLC to RP, as has

already been demonstrated.

4.8.6.   Exposure Pathways for Toxicity to Soil Biota and Their Predators.

    4.8.6.1.    SLUDGE-SOIL-SOIL   BIOTA  TOXICITY   EXPOSURE  PATHWAY — This

pathway also  does  not  require calculations, except  in  some cases conversion

of RLC to RP, as has already been demonstrated.

    4.8.6.2.    SLUDGE-SOIL-SOIL  BIOTA-PREDATOR TOXICITY  EXPOSURE PATHWAY —

Calculations use either  Equation  4-37 or 4-38,  depending  on  the units asso-

ciated with  the uptake  response  slope in  soil biota,  UB.   In  this example,

Equation 4-38 is used.

Equation 4-38
                      RLC =
                                     UB
                                             BS
where:
RLC
TA
BB
UB
BS
             reference soil concentration of pollutant (pg/g DW)
             threshold feed concentration (pg/g DW)
             background concentration in soil biota (pg/g DW)
             uptake response slope in soil biota [pg/g(pg/g)~1]
             background soil concentration of pollutant (pg/g DW)
                                     4-112

-------
Data Examples for Cadmium
    TA  is  6 jjg  Cd/g,  as derived  previously based  on  effects  in  chickens.
BB  and  UB  are   4.8   yg  Cd/g  and  13.7  yg  Cd/g  (yg  Cd/g)'1,  respec-
tively, based  on  observations  in  earthworms (U.S.  EPA,  1985e).   BS  is  0.2
vg Cd/g, as given previously.
Calculation Examples for Cadmium
                DIP   6 ug Cd/g - 4.8 yg Cd/g  .  n 0  _  rAln
                RLC = —Ka	a	"	   + 0.2 yg  Cd/g
                       13.7  yg Cd/g (yg Cd/g)-i
                    = 0.088  +0.2 yg Cd/g
                    = 0^29 ug Cd/g
RLC is then converted to an  application rate, as previously demonstrated.
    This last  example  demonstrates  the need for thorough  data  analysis  and
peer  review  of calculated  results.   The  TA  value  of 6 yg Cd/g  is based on
effects of  CdSO  on chickens.   This value is only  slightly  higher than  the
background  concentration of  cadmium   in  earthworms (4.8  yg  Cd/g)  in  the
study  giving the  highest UB.   [Other  studies  list  background concentrations
of  as  high as  17  yg  Cd/g  in earthworms  (U.S.  EPA,  1985e).]  The resulting
calculation suggests that an increase of less than one-half of the mean soil
background concentration would cause toxicity in birds  consuming earthworms.
This  unlikely   result  suggests  either that  chickens are more  sensitive to
cadmium  than birds  that feed  on  earthworms,  or that  CdSO  is  an inappro-
priate  surrogate  for cadmium  in  earthworms.   Therefore,  thorough evaluation
of  all  available  data  on species' sensitivities  to  various forms of cadmium
is  needed to select the most appropriate values for criteria derivation.
                                     4-113

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   5.   EXPOSURE  AND ASSESSMENT  OF  HEALTH  EFFECTS  FROM  INHALED  PARTICIPATES

5.1.   INHALATION OF PARTICIPATES

    The inhalation of particulates  generated  by application and wind erosion

is  a  potentially  significant  source  of human  exposure to  sludge  contami-

nants.  A  rough  quantitative  analysis  was  performed  for  cadmium  in  this

pathway to estimate  exposures  by inhalation.   It was assumed  that exposures

from  wind  erosion would  be  far  less than exposures  during  application,  and

that  injection  of  liquid  sludge  into the surface soil would not generate any

particulates.   Therefore, particulate  emissions  from   spreader  application

and subsequent  tilling  of dewatered sludge were examined.  The  analysis  was

done  using the  emission factor for agricultural  tilling (use of a disc,  land

plane or sweep plow)  presented  in AP-42 (U.S.  EPA,  1983a).

5.2.   DUST EMISSION FACTOR

    The quantity  of  dust  emission  from agricultural tilling of  sludge  per

hectare  of  land  tilled  may  be  estimated   using  the  following  empirical

expressions (U.S.  EPA,  1983a).
                             E  =  k  (5.38)  (s)
                                            0.6
                                                  (5-1)
where:
        E = emission factor (kg/ha)
        s = silt content of soil (%)
        k = particle size multiplier (dimensionless)

The  particle  size  multiplier  (k)  in the  equation varies with  aerodynamic

particle size range as follows:
                    Aerodynamic Particle Size Multiplier
                                     (k)
         Total
      Particulate
          1.0
<30 vim
 0.33
0.25
          <10 vim
0.21
          <5
0.15
          <2.5
0.10
                                     5-1

-------
     A number  of assumptions  have  been made  that  enable  the  use of  this
 expression for agricultural  tilling  of sludge.   These assumptions  follow:
     1.   The sludge and  soil particulates  are  emitted in proportion to
         their concentration  in  the tilled  zone  (the top  15 cm).
     2,   The sludge  and  soil  are well  mixed.
     3.   The silt content  of  the soil  is  20% (s  = 0.2).
     4.   The size  of  the  particulates  inhaled and  ingested  is  <30 urn
         (k = 0.33).
 Therefore,
                  E = (0.33)  (5.38)  (0.2)0'6 = 0.6759 kg/ha
     These  are all conservative  assumptions,  which  will  tend to overestimate
 the  sludge  particulate  emissions  generated from  tilling.    Therefore,  the
 results  provide  a  conservative indication  of  the  relative  significance of
 sludge particulate emissions.
 5.3.   DUST  EMISSION RATE AND AIR CONCENTRATION DETERMINATION
    As shown in Section 5.2., the emission  factor  of tilling sludge-treated
 soils  can  be  calculated  to  be  0.6759 kg/ha based  on  the assumptions  made.
 An emission  rate (EM)  in g/sec  can  be calculated using this emission factor
 as follows:
        EM = E x (1000 g/kg)  x A x (0.405 ha/ac) x (8 hr/28,000 sec)    (5-2)
where:
        EM = emission rate (g/sec)
        E  = emission factor (kg/ha)
        A  = acres tilled/8-hour day

    Assuming 100 acres  (ac)  of  land  are tilled  in 8 hours, the dust emission
 rate is 0.95 g/sec.   This dust emission rate is  obtained  from the following
expression:
  EM  =  (0.6759  kg/ha)(1000 g/kg)(100 ac/8 hr)(0.405  ha/ac)(8 hr/28,800 sec)
     » 0.95 g/sec
                                     5-2

-------
The height  is  assumed to  be  0.5  m with the initial horizontal  and  vertical

dispersion  parameters set at  0.5.   The  tractor  driver  is  assumed  to  be

between  1   and  2  m  from  the  tiller at  a receptor  height  of 2.44 m.   A

Gaussian   Integrated   PUFF   model,   INPUFF,   is   used   to  estimate   the

concentrations  of dust to  which the driver is  exposed.   INPUFF  (Petersen et

al.,  1984)  is  based  on  Gaussian puff  assumptions  including  a  vertically

uniform wind direction field and no pollutant removal or chemical reactions.

    In Gaussian-puff  algorithms,  source  emissions are treated as a series of

puffs emitted  into the atmosphere.   Constant  conditions of  wind  and  atmos-

pheric stability  are  assumed during  a  time interval.  The  diffusion  param-

eters are functions of travel  time.

    During each time  step,  the  puff centers are determined by the trajectory

and the  inpuff  distributions are assumed to  be Gaussian.   Thus,  each  puff

has a  center and a volume  that are  determined separately by  the  mean  wind,

atmospheric stability and  travel time.

    INPUFF  was   performed   across  a  range  of  windspeeds  under atmospheric

stabilities D and  B.   The  table below lists characteristics  of  the meteoro-

logical conditions defining the  turbulence types (stabilities).

                                   	Daytime Isolation
            Surface Wind-
            Speed (m/sec)

                 <2
                  2
                  3
                  6
                  6>

    A = Extremely unstable
    B = Moderately unstable
    C = Slightly unstable
    0 = Neutral  (also applicable to heavy overcast)
Strong
A
A-B
B
C
C
Moderate
ATB
B
B-C
C-D
D
Slight
B
C
C
D
D
                                     5-3

-------
The   INPUFF   modeling  results  range  between   2.4x10     and  2.6x10
                                                                      ..-6
                                                               -.-3
                                                                     g/m
g/m     for   stability   D   and   between   3.3x10     and   1.5x10
for stability B.
    The  1- to  2-meter  distance corresponds to  extremely short travel times
for  the puff modeling.   Also, the  tractor driver  is  a  fixed  distance from
the emission  source but this  fixed  framework  is moving with the wind field.
The model  is  not capable of properly  accounting for this relationship.  The
results  are quite rough,  but  of all  the atmospheric models currently avail-
able, INPUFF is considered to  be the most appropriate.
5.4.    EXAMPLE CALCULATION
    Using  the   amount   of   3.3xlO~2  g/m3  as  worst  case,  the  following
calculations  were  made  for  cadmium  assuming:   1) 8-hour daily  exposure;
2) no   controls  for   dust   exposure   (no  personal  protection   or  dust
suppression);  and 3) a total  of  20  kg/ha  of  cumulative  cadmium added,  the
amount  currently  allowed  to protect the human  food  chain.   The calculations
and  results   are shown  in  Table  5-1.    The  cadmium  concentration  in  the
worker's  breathing  zone  resulting  from  the  application  of  sludge  was
determined  to  be  330  ng/m3.   This  value  is  0.17%  of  the  Occupational
Safety  and Health Administration  (OSHA)  Standard for cadmium dust,  and 0.83%
of  the  more  conservative  National  Institute   for  Occupational  Safety  and
Health  (NIOSH)    recommended  exposure  limit  of  0.04  mg/m3   (CDC,  1983).
Therefore, the above analysis  suggests that the  public health  impact of  the
inhalation  of   cadmium  in   airborne  particulates  generated   from  land
application of  municipal  sewage sludge may be  relatively insignificant.   In
the case of residential  use, the time spent tilling the  soil  and generating
particulates   that  could   be   inhaled  is  less  than  that  found  in  the
agricultural  setting.
                                 5-4

-------
                                     TABLE  5-1
               Particulate  Exposure to  Cadmium  from Land  Application
                            of Oewatered Sewage Sludge
Exposure (ng/day) = Particulate concentration of <30 \im particles x pollut-
                    tant concentration in soil
Input Data
    Pathway specific:   Particulate concentration = 3.3xlO~a g/m3 - 33xl06 ng/m3
    Pollutant specific:   Pollutant added to soil = 20 kg Cd/ha
                         Mass in top 15 cm = 2x10« kg soil/ha
Pollutant concentration in soil =
                                    20 kg Cd/ha
Exposure
                       2x106 kg soil/ha
                     = 10x10-6 kg Cd/kg soil
                     =10 mg Cd/kg soil
33xlQ6 ng soil   10 mg Cd
               x          = 330 ng/ms
     m3          kg soil
OSHA Standard = 0.2 mg/m3 8-hour time-weighted average (TWA)
                          1
    330 ng/m3 x
                0.2 mg/ma x 10e ng/mg
                           x 100 = 0.17%
NIOSH Exposure Limit = 0.04 mg/m
                           1
    330 ng/m3 x
0.04 mg/ma x
                                 ng/mg
                       x 100 _ 0
                                '
                                        Occupational Safety and
                                        Health Administration (OSHA)
                                            National Institute for
                                            Occupational Safety and
                                            Health (NIOSH)
                                     5-5

-------

-------
     6.   CRITERIA  CALCULATION METHODS  FOR SURFACE RUNOFF  EXPOSURE PATHWAY
 6.1.    OVERVIEW OF THE METHOD
     The surface   runoff  portion  of the  risk  assessment  methodology has been
 designed  for application on a site-specific  basis.   This allows the regula-
 tory program  to  consider site-specific  characteristics  that may greatly
 affect  overall  risk  levels.   Site-specific  approaches  can  be  difficult  to
 implement,  proportional   to  the  level  of  detail  to  which  the  analysis  is
 taken.   The more specific  the analysis, the more data  are required to sup-
 port  it and, therefore,  the greater  the difficulty.  Thus, a tiered approach
 has  been  devised.  The first  tier  is conservative  but requires little data.
 If  applicants  are not satisfied  with the results of  this  level  of inquiry,
 they  have the option to  go to a  more detailed level  of analysis  at greater
 effort.   The tradeoff between effort and degree of  restrictiveness is left
 to the  applicant.
     Figure  6-1  shows  the plan  and  elevation  view  of  a  sludge  management
 area.   The  system consists  of an application area within a larger watershed
 area.   There may  be  an intervening buffer zone between  the application area
 and  the receiving water  body.  The receiving water body might  be  a stream,
 lake or estuary.   Important processes are also indicated  in the figure.
    The  overall  scheme for evaluating  concentrations of pollutants in sur-
 face  waters that  are due  to  surface  runoff  from  sludge management  areas
 (SMAs)  is shown  in  Figures  6-2a and  6-2b.  Figure 6-2a  shows the  flow chart
 for  determining   long-term  average  concentrations   in   streams,  lakes and
estuaries;  figure 6-2b shows  the  flow chart for determining concentrations
 in  receiving waters  resulting from  single storm  events.  The  computations
have  been  separated  into these  two  problem  types  to evaluate  both chronic
and  acute   exposures.    This   methodology   is   designed  to   address   toxic
                                     6-1

-------
                              PLAN VIEW
                                     ©
                                 Buffer Zone
                                Runoff
                                                    Receiving
                                                    Water
                                                    Zone
                                                 £ Boundary of
                                                 x' Contaminant
                                                   Plume
                                                                 ^ "receptor
                                                                   location-
                           ELEVATION VIEW

                         Precipitation
Sludge-Soil
Mixture       I
Zone
                          Infiltration
                           Important Processes
                  1.   Precipitation, Infiltration, Runoff
                      Erosion
                      Contaminant Speclatlon, Pathways

                  2.   Precipitation, Infiltration, Runoff
                      Erosion
                      Sedimentation
                      Dilution/Infiltration of Contaminant

                  3.   Initial Mixing
                      Advectlon/Dlsperslon
                      Settling
                           FIGURE 6-1

Schematic of Surface Runoff and  Erosion from a Sludge Land
     Application  Area As  Addressed  by the  Methodology
                               6-2

-------
                                                                                         •\
                      Yes
                                    Calculate Total Mass of
                                      Contaminant ( MC)
                                      Added to SMA/Year
Calculate Total Annual
Flow(Q{)
of Receiving Waters


                                                           No
                                 Data on Site, Current/Proposed
                                     Site Management, etc.
\
•~— — '-^.
Calculate Average
Concentration in
In situ Soii/Sludge
                                  Calculate Annual Soil/Sludge
                                     Loss Due to Erosion
                                          (USLE)
                                           1
                                     Calculate Sediment
                                          Delivery
                                           1
                                    Calculate Mass Input to
                                       Receiving Water
                                   Calculate Concentration in
                                     Receiving Water C.
                                 Identify Acceptable Management
                                         Practices
                                                                 No
--* 	
\

Calculate Average
Concentration in
In situ Soil/Sludge
                                                               No
                                                                   •-Exit
                                                                                              Tlerl
                                                                                          )   Tier 2 and 3
                               FIGURE  6-2a

Flow Chart for  Estimating  Long-Term  Average  Concentrations
                 A'S  Addressed by the Methodology
                                     6-3

-------
                        Data far Silt Characterization Cucrent/
                          Prapceod Management Practices
                          Calculate Event Rovw/Vokimet
                               (SCS Curve Noe.)
                           Calculate Evint SwiiMnt Low
                                  (MUSLE)
                        EtOntf* ConoMrtntion in Soldt/Runoff
                                   
-------
contaminants,  not  nutrients.   Therefore,  consideration  of  species such  as
nitrate deals only with the health implications,  not eutrophication.
    For Tier  1,  the concentration  in  the  receiving water is equated  to  the
ratio of  the mass of  contaminant added to  the site sludge management  area
each year to  the  annual  flow  of the  receiving water.  This  concentration
presents the upper boundary.   In  Tier 2, the average level  of  contaminant in
the  sludge  over  the life  of operation  is  first computed.  The  computation
differs  if  single  or  multiple   applications   occur.   Once  the  long-term
average levels in  the  SMA  are known, the average annual  solids loading  rate
from the  SMA can  be  computed.  This is accomplished .using  the univeral  soil
loss equation  (USLE).   The effects of a buffer  zone  between the  SMA and  the
receiving water body can also be calculated.
    The receiving water  analysis  for constant loading may be conducted for a
stream, lake or estuary and involves a simple dilution  calculation,  assuming
complete mixing.    If applicants desire 'to  pursue a  more rigorous  evaluation,
they may  apply receiving  water  models that emphasize  analytic solutions  to
simplified  systems  (O'Conner .and  Mueller,  1981).   The latter  are  described
in  Appendix  4.  Decay  or  transformation processes  that  would decrease  the
amount  of  chemical  in  the  system are  neglected   to  provide  conservative
results.   Instantaneous  equilibrium given  by a  linear isotherm (where  the
proportionality constant  is  the   distribution  or  partition coefficient)  is
assumed to govern the distribution of dissolved  vs.  adsorbed chemical.
    Tier  1  corresponds  to direct discharge  of  al.l  sludge-applied  contami-
nants to  an initially  mixed  zone near  the  point  of  loading.   If  the  pre-
dicted  concentrations   (x  )   from  a  Tier   1  analysis  (near  field  mixing)
                         3
exceed  the  criteria  (RWC), more  complex  equations are  provided  in  Tier  2
that take into account  infiltration  of dissolved  contaminants and  degrada-
tion in  SMA and  sediment  deposition  in the buffer  zone.   Input  parameters
                                     6-5

-------
for  the Tier  2  analysis are  derived  by  selecting  literature  values on the
basis  of  site characteristics.  If predicted concentrations  from  the Tier 2
analysis  exceed the  criterion,  the  user  may   choose  to  conduct  a  Tier 3
analysis  where,  although the  equations  used  are the same  as  in  Tier 2, the
inputs  are obtained directly  from site-specific  data.   At any  time in the
process,  the  user  may  elect to consider  alternative management practices as
shown  in  Figure  6-2a.   When such practices reduce predicted contaminant con-
centrations to acceptable  levels,  they are written  into the regulations/per-
mit  as required.   Possible practices include runoff diversion  ditches,  man-
datory depths of incorporation and contour plowing.
    The  flow chart  for calculation  of  event  average contaminant  loads is
shown  in  Figure  6-2b.   In  this methodology, the Soil  Conservation Service's
Curve  Number  approach  is used to estimate event surface runoff from the SMA.
Solids  loss  rates  are  then calculated using the modified  USLE (MUSLE).   The
total  quantity  of the  contaminant  in  the  sludge  is  then  assigned  to  a
dissolved  or  adsorbed  fraction  using  a  partition coefficient, and  the  mass
loadings  of  dissolved  and  adsorbed  contaminant  to  the  receiving water are
calculated.   The   effects  of  a  buffer  zone  on  these  loadings can  also be
assessed.
    Event  loadings are  considered  in  the methodology to provide  an  estimate
of  acute   exposure.  The loading  is  assumed  to  be completely  mixed  in  a
volume  of  water equal   to  the stream  flow times the duration  of  the event.
Once again,  if an applicant  chooses,  a more rigorous approach can  be taken
allowing for dispersion and sedimentation.
    This methodology has been constructed  from  principles and process  des-
criptions  typically used  to  describe  the movement  of   contaminants  from
source  area   to  receiving  waters  and  thence  to  compliance  points  during
                                     6-6

-------
 nonpoint source  runoff  events.   Equations  have been simplified and  certain
 assumptions  have  been  made to  provide  tractable solutions.  These are  dis-
 cussed  in the  next section.  To adapt  these  equations  to the sludge  runoff
 problem,  modifications must  also be  made  to equation  parameters.   In  some
 cases,  there  is  considerable  uncertainty  concerning  the extent  of modi-
 fications.   The  method  intends  to  yield an  initial estimate of  loads and
 concentrations.    More  detailed  analysis  in  areas  of  uncertainty  may be
 desirable.
 6.2.    ASSUMPTIONS
    A  number of   assumptions  were  required  to  develop  the  surface   runoff
 pathway portion  of the methodology.  This  section  first  discusses assump-
 tions for the  runoff (or loading) algorithms.   These are organized by long-
 term  and  short-term analyses.   A discussion of  the  assumptions  used  in the
 receiving water algorithms follows.
 6.2.1.    Loading  Algorithm  Assumptions.   The  important  assumptions utilized
 for  the  development  and application  of the  sludge surface  runoff loading
 algorithms are listed in Table 6-1.
    6.2.1.1.    LONG-TERM  ANALYSIS — The  major  assumption  for  estimating
 long-term average  concentrations is that these  concentrations are produced
 primarily by the  release  of contaminants from particulate  material  that  has
 been transported  from  the SMA and deposited in the receiving water body.   In
 Tier  1,  all  contaminants  are  assumed  to  be  transported  to the  receiving
water each year.   Thus, no  infiltration losses, degradation or  settling in
the buffer zone are considered.   All  contaminant is  subsequently assumed to
be dissolved  in  the receiving waters.
                                     6-7

-------
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6-9

-------
    In Tiers 2  and  3,  the deposited particulates  are  assumed  to contain the
same  concentrations  of contaminants as  the long-term average  levels  in the
SHA.   This  concentration  is  higher than  actually would  be  found on  the
solids alone.   Therefore,  long-term concentrations in receiving water bodies
are a  function of  the mass  loading  of  contaminant from the  SMA associated
with  solids  and the  subsequent dissolution.  The  only  contribution to dis-
solved contaminant  comes  from desorption of contaminant  from  entrained par-
ticles.
    It  is assumed  that no  enrichment  or  preferential  transport  of  solids
takes  place  in the  SMA.   In  reality,  during  the  erosion  process, smaller,
less  dense particles  are  more easily transported  to the  edge  of  the  field
than  heavier  particles.    Contaminants  are  more  commonly associated  with
these  lighter,  finer particles as they  usually  consist  of  clays and organic
matter.   Therefore,  the concentration  of contaminant by weight  is  higher in
these  particles  causing  an  apparent  "enrichment"  over the  concentrations
observed  in  the in  situ soils.  Normally, when calculating erosion-associat-
ed  contaminant  loss,  this  effect must be accounted for, unless sediment mass
transport is calculated for  various particle  sizes.   Because there  are no
data  to   quantify enrichment  from SMAs,  this process  has  not  been  accounted
for in this methodology.   Since the assumption  is  that all  eroded material
is  transported  to the edge of  the  field, loadings to the receiving  water are
maximized.
    The  same assumption is  made if the effects  of  a buffer  zone are con-
sidered  in the  calculations;  no enrichment  is  assumed  in the buffer zone.
This  assumption  would underestimate contaminant  transport if  some form of
enrichment actually does  occur.  The assumption  is also made that  the  effec-
tiveness  of  the  buffer zone  is  constant over  the entire  operating life of
                                     6-10

-------
the  SMA.   Normally,  the buffer zone would  lose its effectiveness over time,
as  solids  and contaminant  accumulate there.   This  assumption,  therefore,
will  also tend to yield  an underprediction of  the  mass  flux of contaminant
through  the buffer  zone.   By calculating loads to  the receiving water body
with  and  without the  buffer zone influence, one can  bracket the effects of
this assumption.
    Other  less important assumptions  have  also been  made  in developing the
methodology.   These  assumptions  deal  primarily with the  use  of certain con-
ventions  or  simplifications  of equations  so that analytical solutions can be
developed.  These  assumptions,  discussed  below, do  not  necessarily  lead  to
conservatism or other bias in the results.
    In the  development  of  long-term loadings, it is assumed that the USLE is
an  appropriate algorithm  for computing  average annual  solids  losses  from
SMAs.  The  USLE was originally  developed to  predict  annual  soil  loss  from
croplands east of the Rocky Mountains.   It  is  assumed that  the  'K1  and  'C1
parameters  can be adjusted  for  sludge incorporation  or  sludge surface  dis-
posal  to yield  appropriate  solids  loss estimates.   The  values  of  these
parameters  are improving  as studies  are completed  on  erosion  of  sludge-
amended soils.   Parameter selection is  discussed in  Section  6.4.
    In the calculation  of  long-term average  bulk density, it is assumed  that
the  sludge  mineralization  process  results   in  a material  of the same  bulk
density as  the original soil.   Therefore,  over  long  periods  of time  after
cessation  of  application,   the  soil   would  return   to  its  original   bulk
density.   This assumption does  not  have a great impact on  the outcome  since
the sludge and  soil bulk density differ only  by a factor of  less than  2.
                                     6-11

-------
    In the calculations  of  the effects of the  buffer  zone,  an algorithm for
the effects of  buffer  zone  on soil loss from construction sites is used.  It
is assumed  that the buffer strip would  affect a similar reduction  in soil
and  sludge  solids  loss  from  SMAs.    Young  et al.  (1980)  measured  (on the
average) 19.5  and  22.1% of the  solids  from feedlot  runoff  passing  through
vegetated  buffer  strips of  27.43 m  (average of  corn,  orchard  grass  and
sorghum/Sudan  grass  plots)  and  21.34 m  (average of  corn  and  oats  plots).
The  predictions  from the equation used  in this methodology would be 37 and
39%, respectively.   Edwards et al. (1983) measured 50  and  27% of the solids
from a  feedlot passing  through  tall  fescue  buffer strips of  30 m and 60 m,
respectively.   Methodology  predictions  would  be  36  and 31%,  respectively.
Asmussen et  al. (1977), however, measured  only  4% (average  value)  of soil
particles  from a  Cowarts   loamy  sand  soil  moving  through  a  24.4-m  grassed
waterway.   The methodology prediction would  be 38%.   It  appears that for
animal waste solids, therefore,  the  algorithm  used in  the  methodology gives
reasonable results.  The predicted results do not agree well with the obser-
vations  of  Asmussen et  al. (1977).   A loamy  sand  soil, however, can have
70-95%  of  the  particles in  the  sand  size  fraction.   Sand-sized particles
would not  be as easily  transported  through  a  buffer as  smaller,  less dense
sludge or fecal particles.
    6.2.1.2.   EVENT ANALYSIS  — Similar  assumptions  are made  for the esti-
mation  of  short-term  concentrations.    In  Tiers  2  and  3,  the  single most
important assumption is  that the contaminants will be mixed into a volume of
water equivalent  to the receiving waterflow  for  the duration  of the storm
event.   Therefore,  the  proper selection of  the storm  rainfall  depth  and the
diluting flow  in  the  stream are  important.   The magnitude  of the  rainfall
event chosen has  a direct   bearing on  the  magnitude  of the pollutant loading
                                     6-12

-------
 event.  This,  together with  the  streamflow chosen, directly  influences  the
 calculated  instream  concentration.   In  the absence  of  specific  guidelines
 for choosing  recurrence  intervals,  a l-in-5-year design  storm  together with
 a  l-in-5-year mean daily  low flow  are  used  as  examples in this  document.
 The recurrence  interval  of  the instream  concentration  resulting  from this
 joint   event  is  not   determined   here,   but   may  be   estimated   using   the
 approximate  analytical  method  of   Di   Toro   (1984)   or  by   site-specific
 rainfall-runoff  simulation.
     Another important  issue  is  the  duration  associated  with  the  instream
 criterion.   For instance,  if a  24-hour  LC5Q  is  the  criterion,  then   the
 rainfall  and  streamflow  event should also  be  of  24-hour duration; that  is,
 the duration  of the  rainfall  and  streamflow  event  should be selected  to
 match  the  criterion.
     Within  the  source  area,  mass  fluxes  in   both  runoff  water   (dissolved
 phase)  and transported sediment/sludge  particles  (adsorbed  phase)  are con-
 sidered.   The  major assumption is that the equilibrium between the dissolved
 and  adsorbed phases is  achieved instantaneously and can be completely speci-
 fied by  an adsorption  partition coefficient.   If  in  fact the dissolution  of
 contaminants from  the  soil/sludge mass is  kinetically  limited,  this assump-
 tion will  tend to  overpredict dissolved phase  concentrations during the run-
 off  event.   The total  mass flux from the  SMA  will  also  be overpredicted.
 Thus, this  assumption produces an  environmentally conservative  loading esti-
mate.
    In  the  buffer  zone,  calculations for  short-term  concentrations  (as  in
the  long-term  concentration  analysis)  assume that no enrichment occurs dur-
ing transport.    In  addition,  no  erosion  is assumed to occur  from  the buffer
                                     6-13

-------
zone.  These assumptions  could  bias the estimated mass  fluxes  toward  lower-
than-expected values.  This  set of assumptions, used in conjunction with the
"no buffer zone" assumption, will tend to bracket the true values.
    Additional   assumptions  of  the event  mean  loading  algorithms  are  dis-
cussed in the following paragraphs.
    Runoff  from  the SMA  is predicted  using  the  SCS  Runoff  Curve  Number
approach.  This  approach has never been applied to  this  particular problem
set.   It was  developed   on  data from  many  years of  storm flow  records  of
agricultural watersheds  with a  wide  variety  of  soil types.   It  is assumed
that  the  curve  number,  CN,  can  be  changed  to reflect  the  lower  runoff
resulting from  the  additions of organic matter to soils (see  Section 6.4.).
It  is  also  assumed  that  the MUSLE used to predict event sediment loadings is
appropriate.  If  the USLE is appropriate for annual  sludge/soil loss predic-
tions, this seems a  reasonable and logical extension.
    The  algorithms  for the estimation of dissolved  and  adsorbed  contaminant
loss from SMAs  was  developed by Haith (1980).  They were originally designed
to  predict pesticide losses from agricultural fields.  The algorithms assume
that  runoff  is  generated  from the top  1  cm  of soil  and  that  contaminant
below  that depth  is unavailable for runoff.   Partitioning of the chemical is
assumed  to  be  instantaneous,   linear  and   completely   reversible.   It  is
assumed  that the  rainfall is sufficient to fill the available water capacity
of  the top centimeter of soil  and that  the  available dissolved  contaminant
is  distributed  into the  runoff,  percolation  and  residual soil  water  com-
ponents  by the  fractions of the rainfall going to  each.  The calculation of
the  runoff rate assumes a trapezoidal hydrograph.
     The  reduction of solids through the buffer zone is accounted for through
use  of a sediment delivery ratio.  It is also assumed that the resistance to
flow through  the buffer  strip  is  not  affected  by  the  slope  of  the buffer

                                     6-14

-------
or  the  type of vegetation.  The  approach  where the flow  is  affected  by the
slope and  other  properties  of  buffer zone requires an iterative solution for
the  flow  rate through the  buffer (Khaleel et al., 1979).  Since  that level
of  detail  was not  warranted  in this methodology, the  only management vari-
able for the buffer zone is the length.
6.2.2.   Assumptions  in  Receiving  Water  Analysis.   This section  describes
assumptions made  to determine  maximum concentrations that could  result from
predicted mass loadings from the SMA.
    The  Tier  1  analysis  assumes  complete mixing  of  contaminants  into  the
receiving water.  Therefore, whether a stream, lake or  estuary,  the concen-
tration  is defined  as the  ratio of  the  mass of  contaminant input  to  the
total throughput  of water  for the  time  period of interest.   For  long-term
exposures  (chronic  exposure criteria),  the  period of  interest  is  1  year
(i.e.,  contaminant  mass  added/year  and  total annual  flow volume).   For the
event analysis,  the period of  interest  is the duration of the  event  (i.e.,
mass of contaminant  carried  in event runoff,  and  total  flow of the  receiving
water during  the storm event).   This assumption  overpredicts concentration
in  that  it does  not  allow for  dispersion,  and  underpredicts  concentration
where mixing  is  poor and  exposure zones of interest  are in  the path  of  the
contaminant plume.   The  analyst  has the  choice  of  using the total mass  of
contaminant (dissolved and  adsorbed) or making independent comparisons with
relevant  criteria for each phase.   Currently,  there  are no criteria  for
sediments  and  therefore,  the  adsorbed phase  cannot  be evaluated  directly.
The  evaluation  of  individual  sites considering  complex  receiving  water
dynamics  requires a  significantly different set of assumptions  that reflect
the type of water body under consideration.   While this approach will  not  be
employed to evaluate and  select best management practices  for the  regulatory
                                     6-15

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program, a procedure  is  offered  for guidance in Appendix 4.   The assumptions
for this approach  and  the procedure are described to illustrate the approach
applicants may take.
6.3.   CALCULATIONS
    The  evaluation  of the  impact  of surface  runoff from sludge  management
areas  involves  the prediction of  runoff, sediment  loss and the  concentra-
tions  (or  loadings)  of contaminants in each of these phases.  From a health-
based  perspective,  it  may  be  important to  predict both long-term average
concentrations  (for  chronic toxicity  or  carcinogenic  risk  analyses)  and
short-term (event)  concentrations  (for  acute toxicity analyses).  Therefore,
it  is  important to  develop algorithms that predict both  long-term (average
annual)  and   short-term  (event)  loadings  from  the  sludge  management  areas
into receiving waters.
    The  algorithms  for predicting  runoff and sediment  loss  from these  areas
utilize  the  Universal  Soil Loss  Equation (or its modifications) and the Soil
Conservation  Service Curve Number Hydrology computations.
    Long-term loadings are discussed first, followed by event  loading  algo-
rithms.   A discussion of  the Tier  1 approach is given  first,  followed  by a
discussion of the Tier 2/Tier 3 approaches.
6.3.1.   Tier 1.   By  design,  the  Tier  1  methodology  is  a  simple construct
to  screen out  sludge  land application practices that  clearly  will not pose
significant  risks  to human health or the  environment.   The  assumptions made
in  Tier 1  are intentionally conservative so  that risky sites  are  not waived
from further scrutiny.  As a tradeoff, many alternatives may proceed to Tier
2 before it  can be  shown  that they also will pose no significant risks.
    The  Tier 1 method addresses both  long-term exposure and  acute events.
In  both cases, it  is  assumed  that the runoff  pathway  is  the only transport
                                     6-16

-------
 route  for  physical  removal  of  contaminant  from  the  system.   As a  conse-
 quence,  soil  contaminant  concentrations  will  increase until annual  runoff
 losses equal  the  mass of  contaminant applied  each  year.   (No  provision  is
 made  for degradation.)  Hence,  the  flux  (F.)  of contaminant  in runoff  is
 described:
 where:
AS
ha
             annual  mass  flux  of  contaminant  (mg/ha-year)
             contaminant  concentration  in  sludge  (mg/kg)
             sludge  application rate  (kg/ha-year)
             hectare
 The  total  maximum  mass of  contaminant (M.)  lost  to surface  water is then
 defined:
                             = F.(SMA) = N.(As)SMA
                                                                (6-2)
where:
       SMA = sludge management area (ha)
    The  long-term exposure  concentrations (C.)  in the  receiving  water are
calculated on  the basis of the  volume  of  water (V) in which the transported
mass will be assimilated:
                              C. = MVOOOO V)                         (6-3)
where:
       Ci   = long-term exposure concentration (mg/SL)
       Mi   = annual mass of contaminant transported (mg/year)
       V    = volume of dilution water (ma/year)
       1000 = conversion factor to equate V to liters
Combining Equations 6-2 and 6-3,
                               Ci =
                                                               (6-4)
                                       1000  V
If the  receiving  water is a stream  or river,  V, is determined as  the  total
annual  flow [i.e.,  the  product  of  volumetric  flow  rate,  Qf (mVsec)  and
31,536,000  (sec/year)].   For  estuaries  and  lakes, V  would  be  the  annual
                                     6-17

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throughput volume  defined  as  the  product of  the  sum of the  outflow volum-
etric rates,  Qf (mVsec) and 31,536,000 (sec/year).
    The   calculated   concentration  (C.)   is   compared  with   the  chronic
reference  water  concentration  (RWC).   If  it  exceeds  the  RWC,  a  Tier  2
analysis  of  long-term exposure  is required.   If  the concentration  is  less
than the RWC, the long-term analysis can be terminated for that contaminant.
    The event  exposure  analysis  differs from the long-term exposure analysis
in that  it focuses  on the concentrations resulting from runoff from a single
storm  event  and compares  them with acute  RWC.   For  Tier  1,   it  is  assumed
that the  total  mass  of contaminant applied  to  the field in a  year is trans-
ported by the design storm event as indicated:
                            "i event = MA^SMA                       (6-5)
where:
       Mi event= total mass of contaminant transported in a given
                 storm event (mg)
       NT      = contaminant concentration in sludge (mg/kg)
       As      = sludge application rate (kg/ha-year)
       SMA     =  area to which  sludge is applied  (ha)
The  concentration of  contaminant  in the  receiving water  as  a result  of  a
given storm event is determined:
                        Ci event = "i event dOOO v)                   <6-6>
where:
         ci event = event concentration (mg/a)
         HI event - mass °f contaminant transported in a storm event (mg)
         1000     = conversion of V from m3 to a.
         V        = volume of water in which M^ event ^s diluted (m3).
                    For rivers, V is the product of the mean flow rate and
                    the duration of the storm.  For estuaries and lakes, V
                    would be the product of the throughput  or drainage
                    volumetric rate and the duration of the storm event
                                     6-18

-------
     The  computed  Ci  event  is  compared  with  the  acute  RWC.   If  C.
                                                                      1
 exceeds  the  RWC,  a  Tier  2  analysis  is  required.    If  C.        is  less
                                                             i  event
 than  the   threshold,  no   further  event  analysis  is  required  for  that
 contaminant.
 6.3.2.    Tier 2/3.
     6.3.2.1.   LONG-TERM  AVERAGE  LOADINGS — As  previously  mentioned,  con-
 taminants from SMAs are  introduced  into  receiving waters by  both runoff and
 erosion.   These loadings  tend  to  occur over relatively  short periods of  time
 over the year.  Therefore,  the time frame  over  which  the dissolved  constitu-
 ents resulting  directly  from  the  event  influence the  long-term levels of
 contaminant  in the  system  is  of  short  duration,  especially in the case of
 streams.   In  contrast,  the  system  is  typically  in  an "interstorm"  state.
 The  levels  of  contaminants  in  receiving  waters  during  such  periods  are
 derived  from subsurface  flows,  interflows or  from dissolution of solid  con-
 taminants  that have been  deposited  in-stream  following major storm events.
 Since  this analysis is  limited to  determining  the impact  of surface  runoff
 only,  the issue  of  interflows  or  subsurface  flows is  not addressed.   Such
 pathways  should  not  yield   significant loads  of  contaminants  that  interact
 with soils.   Contaminants  with an affinity for soil particles are more like-
 ly to  be  found in sludges, since soluble compounds are typically lost in the
 wastewater effluent.   Exceptions would be  low molecular weight organics with
 low  partition  coefficients   (Kd),  or anionic species  such  as  nitrates  that
 form as sludge  ages.   For this analysis  it is assumed  that  long-term average
 concentrations of contaminants  in  receiving waters can be estimated  based on
 predictions of average  annual sediment loss.
    Thus,  the problem  of  predicting  long-term average  concentrations reduces
to the  prediction  of  the  solids loading  rate  from  the sludge  management
                                     6-19

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area.  More  specifically,  the  emphasis  is  on the average  loading  rate  over
the life of the project, and not in year-to-year values.
    6.3.2.1.1.   Erosion Loss  Algorithm —  An appropriate way to  compute  an
average annual solids  loading  rate is to use the USLE (Wischmeier and Smith,
1978).  The  USLE  is  an empirical function designed to predict sheet and  rill
erosion losses from  cropland.   By judicious parameter selection  (see Section
6.4.1.),  the algorithm  should  also  be  capable  of  predicting erosion  from
sludge management areas.
    The algorithm is as follows:
                            X   = 2.24R  K  (LS)  C  P                       (6-7)
                            e
in which:
         Xe = sediment loss rate (metric tons/ha-year)
         R  = the "erosivity factor" (year-*)
         K, = the "credibility factor" (metric tons/acre-year-unit 'R')
         LS = the "topographic or slope/length" factor, dimensionless
         C  - the "cover management" factor, dimensionless
         P  = the "supporting practice" factor, dimensionless

A more detailed discussion of factors in USLE is found in Appendix 2.
    6.3.2.1.2.   Estimation  of  Contaminant  Concentration  in iin  situ  Sludge
and Soil — Repeated  applications  of sludge will result  in  the  gradual  ele-
vation  of  contaminant levels  in  the sludge  management  area.   These concen-
trations  will  continue to  rise until,  at some point,  the losses  from  the
system  (e.g.,  through erosion, volatilization,  biodegradation)  equalize  the
input.   At this  point a  "steady-state"  level  will   result.   Under certain
conditions, this  steady-state  level  might not  be  reached over  the life of
the   facility.    An   appropriate   level   to  use  for   long-term   loading
calculations  would  be  the  maximum  soil  contaminant   level  occurring  during
the life-of-operation of the facility.  An expression for this level  is:
                                                                      (6-8a)
                             •"m
                                     6-20

-------
 where:
        Mm =
        At =
 the  maximum  contaminant  mass  per area  of  soil  in  the SMA
 (mg/ha)
 the  elapsed time  since  the beginning  of  operation (notice At
 cannot equal zero)
 a  lumped   first-order  loss  rate  of   the  contaminant  (vr~i)
 i.e. k! = leu + k1R + k1D
        k2
 in which:
        k0 =
the contaminant loading rate to the SMA (mg/ha-yr) and
a  lumped  zero-order loss rate of  the  contaminant (mg/ha-yr).
     For most  sites,  there  will be  no zero-order  losses  and k   = F..   If
 infiltrate  concentrations  are solubility limited,  losses may  be zeroth  order
 and  defined  by:
                                                                       (6-8b)
where:
        k0 = a  lumped zero-order loss rate of the contaminant (mg/ha-yr)
        A  = the leachate concentration (mg/cma)
        Rc = the recharge rate (m/yr)
Three   first-order   loss    mechanisms   are   likely   to  be   encountered:
infiltration,  surface  runoff  and  degradation.   If equilibrium  between  the
soil  and  water  is assumed,  the first-order  loss  for infiltration  can  be
described by:
where:
        C  -
       B   =
       d   =
                                     (B d Kd)
                                             (102)
                                                        (6-8c)
the   first-order   loss  rate   coefficient  for  infiltration

the recharge rate (m/yr)
the bulk density (g/cm3)
is the depth of incorporation (cm)
the partition coefficient (cma/g)
                                    6-21

-------
Again, if  infiltrate  concentrations  are  thought to be solubility  limited,  a
zeroth  order  rate  is  more  appropriate.    The  first-order  loss  term  for
surface runoff is:
                                   (Bd)
                                        (10-=)
(6-8d)
where:
       k1R =   the  first-order  loss  rate  coefficient  for  surface  runoff
               losses (yr-i)
       Xe  =   the calculated sediment loss rate (t/ha-yr)
       B   =   the bulk density (g/cma)
       d   =   the depth of incorporation (m)
The case of first-order degradation is described by:
                                   k1D = K                            (6-8e)
where:
       k!D =   the first-order loss rate coefficient for degradation (yr-1)
       X is obtained from literature values or derived empirically (yr-1)
    Several  assumptions must  be made  to use  equation  6-8a.   The  first  is
that  any  loss process  (e.g., volatilization, leaching, erosion, degradation)
can be  represented  by  a zero-order or first-order approximation.  The second
is  that  F,  must  be  greater  than  kQ  so  that  k2  is  not  negative.   A
third  is  that  the  background  levels  are  negligible  compared  with  the
steady-state  level.
    If  no first-order  loss  term is  appropriate  or available,  then equation
6-8a  cannot  be used.   The solution for  multiple application when only a zero
order loss term  is known is as follows:
                             Mm = \  (Fi - k0)At
(6-9a)
                                     6-22

-------
    Another  situation  that might arise is the  single  application of a large


 quantity  of  sludge.   The  level  of  contaminant  is  initially  highest  and


 tapers  off  with  time.   The expression for the  average  contaminant level in


 the SMA if both zero- and  first-order losses are considered is:
                      Mm =
                            k,
           M,
0-e
--klAt  - Sift
                         )
                              (6-9b)
where  MQ is  the  initial  mass  loading  in kg/ha, or  if  no first-order decay


is considered:
                               Mm = MO -
                                               (6-9c)
    Care  must  be taken  in  using 6-9b  and  c,  as at some  time  the equations


will  produce a  negative contaminant  level.   If this  occurs,  M   should  be
                                                                 m

taken as:
        Mm =
                                    ~7
                                    At
                              (6-9d)
in which:
         At1 = the elapsed time in which Mm becomes zero



         MAtl= tne average contaminant level  from initial  application

                   until  that time.
The variable At1  can be determined by:
At1 = In   I/O
                                                                       (6-9e)
if equation 6-9b is used,  or by:
                                 At1  =
                                        ko
if equation 6-9c  is  used  to  calculate
                                       At1'
                                               (6-9f)
                                    6-23

-------
    Once  the  contaminant  level  in  the facility  is  known, a  concentration
must be  calculated.   This is  done  by dividing the contaminant level  by  the
affected  mass  of  soil  or  sludge.    For  surface  applications, the  affected
mass is  the bulk  density  of the sludge times  the  depth of sludge.   For soil
incorporation,  the  affected  mass is  the  average bulk density  of the  sludge
and soil mixture times the incorporation depth.
    The  mass of affected  soil  is then calculated  by  multiplying  the average
bulk density by the  affected soil/sludge volume (the application area times
the incorporation depth).
    The  maximum  concentration,   C   (mg/kg),  of  contaminant  is  then  the
quotient  of  the total maximum contaminant  mass per area  of  soil M   (kg/ha)
                                                                   m
and the  soil/sludge mass:
where:
                               C = 10Mm/(d B)
       d  = the incorporation depth (cm)
       B  = the soil/sludge bulk density
       10 = conversion factor to adjust for units
(6-10)
    6.3.2.1.3.   Annual  Erosion  Contaminant Loss — The  maximum  annual  loss
of the contaminant from the SMA, L  (kg/yr), is then
                                  o
                            LQ = 10   Xe C (SMA)
(6-11)
in which:
         SMA  = area of land to which sludge is applied (ha)
         Xe   = the sediment loss rate (mt/ha-yr)
         C    = the long-term concentration (mg/kg)
         10~3 = a conversion factor to allow for different units

    6.3.2.1.4.   Effect of  Buffer Zone — Conservatively,  it  can  be assumed
that  the buffer zone has only  a short effective  life and  that the loadings
generated  from  the SMA enter the receiving  water directly.   If  the  buffer
                                     6-24

-------
zone  is  maintained, however,  it can  be  an effective  means  of reducing the
solids  loads from  the  SMA.  The  reduction of  sediment  load  as  the runoff
moves  across the  buffer  is  quantified  in a  factor  known as  the sediment
delivery ratio.
    Only limited work  has  been done on the attenuation of solids by vegeta-
tive  buffers.   For the  level  of detail of the  long-term  analysis,  the only
relationship of any particular value seems to  be  that  presented in Mills et
al.  (1982).   In  their  formulation, the  sediment delivery ratio (SJ)  is  a
                                                                     d
function of the length of the buffer strip normal to the direction of runoff:
                             Sd » (3.28tb)~0>22                        (6-12)
in which:
         L  = the length of the buffer strip (m).
Therefore,  the  maximum annual  load  of contaminant  delivered  to  the  stream
through an intervening buffer zone, Le (kg/yr), would be:
                      Le  3  Lo  (Sd>  =  10~3  Xe c                 <6-13>
This  formulation assumes that  there  is no enrichment of the contaminant con-
centration across the  buffer  strip.   That is,  there is  no preference of con-
taminant for finer,  more easily transported sludge particles.
    6.3.2.2.    EVENT LOADINGS — During the rainfall/runoff  event,  contami-
nants  can  be  transported  both  in  the dissolved  and  adsorbed  phases.   The
loading to the  receiving water body depends upon  volume  of runoff and sedi-
ment  mass  transported  as  well  as  concentrations  in  each phase.   In  this
methodology,  runoff is predicted  using the SCS  Curve Number  Hydrology rela-
tionship and  sediment transport by the  MUSLE (Williams,  1975;  Haith,  1985).
    6.3.2.2.1.    Prediction of  Runoff  Volumes — Runoff  from a  storm  event
on a  given area depends  primarily on two  factors:   the infiltration proper-
ties  of the  soil and  the water status  of  the soil  at the  time that the storm
occurs.  The  SCS method accounts for these factors.
                                     6-25

-------
    The depth  of  runoff from the watershed area  is  estimated by the follow-
ing equation:
                           OR =
                    (Rt + Ht - 0.2S)2
                    (Rt + Mt + 0.8S)
where:
       OR
       Rt
       s
       "t
depth of runoff in the watershed area (cm)
depth of total rainfall for the storm event (cm)
watershed retention parameter (cm)
depth of snowmelt during the storm event (cm)
S, the watershed retention parameter, is calculated using:
                           S = 2.54 [(1000/CN)-10]
(6-14)
                                                           (6-15)
where:
         CN = the SCS Runoff Curve Number (dimensionless).
The storm runoff volume can be calculated by:
                               Q  = lOO(SMA)  D
                                             R
                                                           (6-16)
where:
       Q   = total storm runoff volume (m3)
       SNA = SMA area (ha)
       Dp  = depth of runoff (cm)
To use the MUSLE, the peak storm runoff rate must also be known.
    6.3.2.2.2.   Estimation  of  Peak  Storm  Runoff — In  order to  estimate
peak storm  runoff  a  hydrograph shape must be  assumed.   Commonly,  a triangu-
lar or  trapezoidal shape  is  used.  A  trapezoidal  hydrograph  is  used  here.
The equation for the peak runoff rate is
                             0.028 (SHA)  PR  Rt
                         qp  =
                                Tr (Rt-  0.2S)
                                                           (6-17)
                                     6-26

-------
where:
       qp  = peak runoff rate (ma/sec)
       SMA = watershed area (ha)
       Rt  = rainfall depth in the storm event (cm)
       DR  = runoff depth from storm event (cm)
       Tr  = storm duration (hr)
       S   = water retention parameter (cm)
For development of the above equation see Haith  (1980).
    6.3.2.2.3.    Single Event  Sediment Loads — Soil erosion  is  governed  by
two processes:   detachment  of  soil  fines and transport of  soil  fines to the
receiving water body.   Detachment  of soil fines can be accomplished  by ero-
sive rainfall or  by  shear forces at the soil surface created by surface run-
off.  One  of the  shortcomings  of the  USLE  is  that  it does  not explicitly
consider transport  nor detachment by runoff.  Williams (1975)  modified the
USLE by  replacing the  "R"  factor with  a "runoff energy"  factor to  provide
more  accurate  sediment   loss   prediction   for  single  storm  events.   In
addition,  this  modification eliminates  the  need  for  the  sediment  delivery
ratio.  The form of this modification is:
                        xs = 11.8 (Q qp)°-56K(LS)C P
(6-18)
where:
       xs = sediment loss from a single storm (mt)
       Q  = volume of runoff (m3)
       qp = peak runoff (mVsec)

       Other terms are as previously defined in Equation 6-7.
    6.3.2.2.4.   Determination  of  Contaminant  Runoff  Loss — The basis  for
this  analysis is  that the  contaminants  in the  sludge will  partition  into
soluble  (dissolved)  and  insoluble  (adsorbed)  fractions when water  is  mixed
with the sludge/soil  mass.   The development also assumes that runoff is gen-
erated  from  the top  centimeter of the  soil/sludge  mixture  and  that within
that  centimeter,  equilibrium  partitioning  is  attained.   For event  simula-
tions,  the maximum concentration realized over the  life-of-operation of  the
                                     6-27

-------
facility  should  be used.   For a  single  application, this  concentration is
the  initial  contaminant concentration in the  sludge.   For multiple applica-
tions,  the  following is  used to estimate the  maximum contaminant level for
degradable constituents (P , kg/ha):
                            Pt -
(6-19)
where  k   and  k   are  loss  rate  constants  as  defined  for  Equation  6-8.
For  nondegradable  constituents, the maximum contaminant  level  is calculated
as follows:
                                       - lco)  At
(6-20)
where F, and k  are as defined in Equation 6-2.
    Since  the  following algorithms  assume  runoff occurs  only from  the  top
centimeter,  the  value  of  P   above  should be  divided by  the incorporation
                            I*
depth  if  tilling  occurs,  or  the sludge  depth  1f  applied  to  the  surface
before being used.
    Therefore, Equations 6-19 and 6-20 are rewritten as:
and
                            Pa = (Fi - K0)
                                                                       (6-21)
(6-22)
respectively, where:
    Pa « mass of contaminant in the top centimeter of sludge or soil
         (mg/ha-cm)
    k2 = Fi ~ ko
    F^ « contaminant loading rate to the SMA (mg/ha-yr)
    k0 = lumped zero-order loss rate constant (mg/ha-yr)
    d  = depth of incorporation or of sludge if applied to surface (cm)
    k] = lumped first-order loss rate constant (1/yr)
    At = elapsed time since beginning the operation (yr)
                                     6-28

-------
    To determine the  magnitude  of runoff loss, the  quantity of adsorbed and


dissolved contaminant is  first  determined.   Total contaminant  is  the  sum of


the adsorbed and dissolved fractions:
                                P  = A  + D
                                 a    a    a


The adsorbed quantity A  is given by the following:
                       3
A  =
 a
                                        e/K.B)]  Pa
                                           U      a
while the dissolved fraction, D ,  is as follows:
                               9
                                      +  KdB/e)]  Pa


The loss of adsorbed contaminant is given by:


                           P   = [x /100(SMA)B]  A
                           xt      s            a

and the dissolved contaminant loss is as follows:
In the above equations



         Aa  = adsorbed contaminant mass in top centimeter of soil

               (mg/ha-cm)


         e   = available volumetric water capacity of the top cm of

               soil (difference between wilting point and field

               capacity, dimensionless)



         B   = soil bulk density (g/cm3)



         Pa  = total contaminant mass in top centimeter of soil

               (mg/ha-cm)


         Da  = dissolved contaminant mass in top centimeter of soil

               (mg/ha-cm)


         P   = adsorbed contaminant loss (mg/ha)
          X \f

         P .  = dissolved contaminant loss (mg/ha)


         D   = total storm runoff depth (cm)
          K

         R   = total storm rainfall depth (cm)  and
          i>

         M   = total snowmelt depth (cm)
          1*                              •              ,

         Kd  = adsorption partition coefficient (cm3/g)

         x   = sediment (mt)


         SMA = area of site (ha)
                                             (6-23)
(6-24)
                                             (6-25)
                                             (6-26)
                                                                       (6-27)
                                     6-29

-------
    6.3.2.2.5.   Effect  of   Buffer  Strip — Determining   the   effects  of
buffer  strips  is difficult at  best,  and for large sites  may  be complicated
by  the  existence  of  drainage  channels.   For  the  purposes  of  predicting
contaminant  loss  ir> the  buffer  strip,  the analysis  is  divided  between
particulate and dissolved contaminants.
    No  losses  are  assumed  in  dissolved  contaminant movement across  the buf-
fer  strip.   This  assumption  is based  on  the  premise  that  adsorption  is
reversible; thus  if  the contaminant  adsorbs to surface soil  particles, the
same  amount of  contaminant  is  desorbed,  resulting  in  no significant  net
change in soluble levels.
    For  particulate  bound  contaminants, the  sediment delivery ratio concept
is employed using Equation  6-12:
                                = (3.28Lb)
                                          -0.22
                                               (6-12)
where:
          = the fraction of sediment load that is transported across the
            buffer zone (dimensionless)
       Lfc = the length of the buffer strip (m)

    Applying these  loss  rates  to the predicted loadings, yield estimates for
the dissolved  and  adsorbed  contaminant losses are as follows.  For dissolved
contaminants,  the  mass  transport is unchanged and,  therefore,  from Equation
6-27:
Pqt - Pqt "
                                                   °
For adsorbed  contaminants,  the mass transported is modified  by  applying the
delivery ratio to Equation 6-26 yielding the following:
                 Pxt' = (Sd)Pxt = «*e>
                                               (6-29)
                                     6-30

-------
    P t'  and  Pxt'  have units  of  mg/ha  coming  off the  buffer  strip  over
the duration  of  the  storm.   The total mass of dissolved and suspended solids
coming off the buffer strip can be calculated as follows:
                              V"  = V  (SMA)                         (6"30)
                              Pxt"  = Pxt'  (SMA)                         (6'31)
where:
      Pqt" and Pxt" have units of mg.

    6.3.2.3.   RECEIVING  WATER  METHODOLOGY — The   Tier   2/3  approach  to
receiving water  analysis is  the same as that for Tier 1 (i.e., the estimated
load is  divided  by the flow of the  receiving  water for the period of inter-
est as indicated in Equations 6-4 and 6-13).
                                 Mi      Le  1000
                           Ci	  =	                       (6-6)
                                1000V        V                         V    '
    For the event analysis,  this can result in three possible values:
    1. Dissolved  contaminant  concentrations   based   solely  on the  dissolved
       portion of the event analysis contaminant load;
    2. Particulate contaminant  concentration  based  solely  on the  adsorbed
       portion of the event analysis contaminant load; and
    3. Total  contaminant  concentration  based  on  the  sum  of the above  two
       loads.
Since there are no  acute  or chronic  particulate  contaminant criteria,  the
second  calculation  cannot  be  currently evaluated.   The  third  value  (the
total)  is  conservative  and  accounts  for   subsequent  desorption   in   the
receiving waters.
6.3.3.   Setting   National    Criteria,   Surface  Runoff  Algorithms.    The
objective of  applying the surface  runoff algorithms in reverse order is  to
determine  a  maximum  allowable  concentration  in   runoff   to meet   health
criteria  in  a   receiving   water  body.   In  general,  the  receiving water
algorithms would be  applied  first,  solving for the  contaminant loading rates
given receiving  water criteria.  Once  the  loading  rate is determined,   the
                                     6-31

-------
loading  algorithms  can  be  inverted  to  solve  for  the maximum  contaminant
concentration  in runoff.   The  inversion  of the  methods  assumes  that  the
method  is first  applied  in  the forward direction  and that  the  hydrologic
constants in the equations are unchanged.
    6.3.3.1.   LOADING   ALGORITHMS — LONG-TERM  ANALYSIS  —  In   this  case,
the application  of  the  methodology to solve for the contaminant level in the
SMA is  not  difficult.   However,  because the long-term analysis does not dif-
ferentiate between  the  dissolved and  adsorbed loadings, only  the total  con-
centration of  the  contaminant  in  the sludge is necessary, and  a  concentra-
tion from the  extraction test is not applicable.   Therefore,  long-term con-
centrations can be  regulated based upon total concentrations in the  sludge.
    Knowing  the  loading  rate,  L , the  concentration  in  the solids  can  be
determined by solving equation 6-13 for C.  Thus,
                                    Le 1000
                                   X
                                                                      (6-32)
    If no  buffer was  used  in the  forward  analysis, S, =  1.   Then  equation
6-10 is used with known C to solve for M :
                                        m
                                u  _  C  d(Bl
                                Mm-  1Q
                                                                      (6-33)
Depending  upon  the  type of  application  (single  versus  multiple)  and  the
types of  rate constants available  (zero or  first order  or  both)  Equations
6-9,  6-9a,  6-9b  or 6-9c  can  be  solved  for either  M  or  k  .   F. can  be
determined from:
                                Fi  =
                                                                      (6-34)
    M   or  F.  give  the  maximum  annual  contaminant  loading  rates  based
upon the maximum  loading  resulting  from an effects threshold value.   Maximum
concentrations  can  be   calculated  by  dividing  M   or  F.  by  the  applied
sludge dry weight.
                                     6-32

-------
    6.3.3.2.   EVENT  ANALYSIS — Because  there  are  no  current particulate
or  sediment criteria  for  acute exposures,  the  event analysis cannot easily
be  operated in a reverse mode.  As  a consequence, national criteria will be
difficult  to  establish  for  acute  events.   The current methodology  can be
operated  in the  forward  mode on a  trial  and error basis to determine limit-
ing  concentrations  in  applied  sludge  only  if  the  dissolved contaminant
levels  are considered.  An  example of this approach  is  provided in Section
6.6.   If  it is assumed that leachate contaminant concentrations  rise propor-
tional  to  the  sludge contaminant concentrations, the receiving water concen-
tration.will  change  proportional  to  changes  in  sludge  contaminant levels.
Therefore,  a forward  analysis  for a  given  setting can  be made for any given
sludge  concentration.   The   resulting  receiving  water  concentrations  from
dissolved  contaminant C   can be  compared  with the acute RWC.   The  ratio of
the latter to  the former will be the factor required to multiply the sludge
concentration to determine the limiting sludge concentration:
                    Ni criteria =  t/Ci  test  Ni  test'              <6-35)
where:
       Ni criteria = the sludge concentration criteria (mg/kg)
       RWC         = the acute exposure reference water concentration (mg/Jl)
                     receiving water criteria determined from test case
                     (mg/JL)
ci test
Ni test     = sludge concentrations in test case (mg/kg)
    6.3.3.3.   RECEIVING  WATER  —  LONG-TERM  ANALYSIS — Operation  of  the
receiving water portion  for  setting  national  criteria is based  on  long-term
loadings.   Equations  6-4  and  6-6 are  solved  for  the  necessary loading  to
make  C..  equal  to RWC.   For  the  long-term analysis, Equation  6-4  is  con-
verted to
                              Fi  =
                            1000V (RWC)
                               (SMA)
                                     6-33
(6-36)

-------
 where:
               the maximum acceptable  annual  loading  rate  for  contaminant
               (mg/ha-yr)
        1000  =  factor  to convert ma to  a,
        V     =  the total annual flow of the  receiving water  (ma/yr)
        RWC   =  reference water concentration  (mg/8,)
        SMA   =  area of the  site receiving sludge  (ha)
 Similarly, for the event analysis, Equation  6-6  is converted to:
                              M, = 1000V (RWC)
(6-37)
where:
       M-j   - the maximum acceptable event loading of contaminant (mg)
       1000 = factor to convert ma to 8.
       V    -  the  event  flow for the  receiving  waters  (For sites near
               small  receiving waters  it  is  the  product  of  the mean
               flow rate  and  duration  of the event.  For sites on large
               receiving waters,  where  flow is unaffected by the event,
               it  is  the product  of low  flow and the  duration  of the
               event.)
6.4.   INPUT PARAMETER REQUIREMENTS
    The  effective  application of  the  surface  runoff  methodology  requires
that  accurate  estimates be  made  for the algorithm parameters.   For  many of
the  parameters  involved  there are  well-developed data bases.   Values  for
these  parameters  can  be  found in the  appendices to this  report.   For some
parameters, insufficient  data exist and  thus  a judgment on the  part  of  the
user will  be  required.   This section contains guidance for the user in exer-
cising this judgment.
6.4.1.   Loading  Algorithms.   The   use  of  the  loading  algorithms  in  this
methodology requires  the  estimation of  the parameters  shown  in  Table  6-2.
The table  shows the symbol  for the parameter,  a description, parameter units
needed for the algorithms,  and  the section  of  this   report  in which  the
evaluation of  that particular parameter  is discussed.   Information on  tex-
tural  properties  of  the  soil  (% sand,  very  fine sand,  silt  and clay)  is
                                     6-34

-------
                                  TABLE 6-2

             Input Parameters for the Runoff Pathway Methodology
Symbol
Function
foc    Soil  organic  content -  measured  directly  or  estimated from proposed
       sludge addition rates (dimensionless)

SMA    Area  of  land to  which  sludge  is  to be  applied -  derived  from site
       plans (ha)

As     Sludge  application  rate  -  derived  from  site  operation  plan  (dry
       kg/ha-yr)

At     Time  period  over which  application  is proposed  -  derived  from site
       operations plan (years)

Rc     Recharge rate -  obtained from U.S. Soil Conservation Service or local
       agricultural extension office (meters/year)

X      Leachate concentration  of contaminants - derived from applica- tion
       of  the  toxicity  characteristic  leachate  procedure   (TCLP)  to  the
       sludge (mg/Jt)

N      Dry weight  concentration of  contaminant  in sludge  -  derived through
       direct analysis of sludge (mg/kg)

B      Bulk  density  of  the soil/sludge - use  the value of the  soil  type  as
       provided in Figure 6-3 (g/cma)

d      Depth of  incorporation  -  determined  from method  of soil turn-  over
       (cm)

Lfo     Length of the buffer zone - derived from the site plan  (m)

W      Width of the buffer zone - selected from maps in Appendix 2 (cm)

M-t     Total event snowmelt - obtained from design storm data  (cm)

Rt     Total storm rainfall depth (cm)

Tr     Duration of storm  event  - selected from the maps in  Appendix 2 on the
       basis of the storm with  the most erosive runoff (hours)

Kd     Distribution coefficient for  the contaminant between soil and water -
       determined  from   the   literature  or   by   direct  experimentation
       (cma/g)
                                     6-35

-------
                              TABLE  6-2  (cont.)
Symbol
                           Function
Qf
R, K, LS,
  C and P
Mean annual  stream flow  for the receiving water  -  taken from
the nearest USGS gauging station (cma/sec)

Average annual  precipitation - derived from  the  local  weather
station (cm/yr)

Input variables for the universal soil loss equation (USLE) -
derived from the site management plan and Appendix 2

Field  capacity  of soil  - derived from Figure  6-5 or measured
directly (dimensionless)

Wilting point  of soil  - derived from  Figure 6-6 or measured
directly (dimensionless)
                                     6-36

-------
 important  for  estimating  other  soil  parameters.   Some  parameters  in  the

 table  that are site-specific or  are  covered  elsewhere  are  excluded  from dis-

 cussion.

     6.4.1.1.    USLE  PARAMETERS — The  use of  either the  USLE  or the  MUSLE

 requires  an estimation  of' four  parameters;   JC, LS,  C and P.   In  addition,

 the  USLE  requires  R,  while the  MUSLE, requires  R^ and  T   instead.  A  com-
                                      - -- •:.•;.  •,.  .• •    t      r

 plete  discussion  of  the  estimation  of  these  parameters  can   be  found  in

 Appendix  2, which  is excerpted  from Wischmeierland  Sm|th  (1978).

     6.4.1.2.    SOIL  BULK  DENSITY  (B)  --..Bulk  density of  the   soil  is  the

 weight  of  the  solids  per unit volume of  the bulk  soil  (including pores).

 The  bulk  density of the soil before  sludge addition can be determined  using

 the  method of  RawTs  (1983).  'The method  requires  textural information  con-

 cerning  the soil  (% sand, %  silt,   clay  and organic  matter).   The mineral

 bulk density  is determined from  Figure 6-3.   The actual bulk density is  then

 calculated  by

                                       100
                          D  _
in which:
                               % OM    (100 - % OH)
                               0.224 +      Bm
                                                                      (6-38)
         B    = soil bulk density (g/cm3)
         % OM = percent organic matter
         Bm   = mineral bulk density (g/cm3) (from Figure 6-3).


    6.4.1.3.   RUNOFF  CURVE  NUMBER (CN) — The  data  on  the  effects  of sew-

age sludge  land  application  on surface runoff are limited.  Because of this,

data  from  the literature  on animal waste  disposal  were  used to supplement

them.   Kelling et  al.  (1977) showed decreases in  runoff  of 37% and 26% when

sludge was  surface applied at rates of  30  mt/hr and 60  mt/ha (average of 3

years).  Long (1979) observed  only slight (0-2%) decreases in surface runoff

when 45 mt/ha-yr of  manure was surface applied  over  a  4-year period in five
                                     6-37

-------
                                                       i
                                                       LU
                                                       Q
                                                       *

                                                       3
                                                       CO
                                                       LU
                    FIGURE 6-3


Mineral Bulk Density of Soils of Varying Textures

           Source:  Rawls et  al., 1983
                      6-38

-------
 applications  per year.   Young (1974) observed decreases of 7  and 2% on corn
 and  alfalfa  plots when solid dairy  manure  was  applied at rates of 28 and 56
 mt/ha,  respectively.   Young and Holt (1977), however, showed decreases of up
 to  62%  from a winter application  of 44.8 mt/ha of livestock manure.  Little
 difference  was  observed between surface  and  plowed-down applications.   This
 indicates  that  the product of the C and  K parameters in  the  USLE should be
 roughly  halved.    For  a conservative analysis,  however,  one could  use  the
 unaltered  K  and  C values,  which  should tend to  give  an  upper bound erosion
 rate  under  sludge  application  conditions.   U.S.  EPA (1979)  recommended  an
 assumption  of decrease of  5% in  surface runoff  when  evaluating the effects
 of  animal  waste  application.  A  reasonable  target  would seem to be a  5%
 reduction  in  runoff  although  greater  control  might  be  affected.    The
 conservative  approach would be  to assume no  impact of sludge application on
 the curve number.
    Runoff  curve numbers  are dependent  upon  antecedent  soil  water  condi-
 tions, the  relative  permeability  of the  soil and  vegetation  cover,  and man-
 agement factors.   Table 6-3 gives  runoff curve numbers  for  various  combina-
 tions  of  the  above factors.   The  table is used  by first determining  the
 hydrologic soil  group.  Descriptions of each group are located at the bottom
 of  the  table.  Within  each crop/management scheme a  subrow  labeled  "Hydro-
 logic Condition"  is  found.   The  qualifiers  "good,"  "fair"  or  "poor"  indi-
 cate  relative  management  conditions.   For  instance,   under the  crop  manage-
ment  scenario "small grains,  contoured,"  a "poor" hydrologic  condition  would
 be  a  poor stand  of  vegetation  with  breakthroughs  in the contours,  both  of
which would increase surface runoff.
    The intersection  of the  crop/management/condition  row  with  the  hydro-
 logic soil  group  column  is  the   curve  number  for  the  area.   This  table,
                                     6-39

-------




































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-------
however,  is  for  antecedent  soil  moisture  condition   (AMC)  II  (which  is
defined  in  Table  6-4).    To  maximize  runoff,   AMC  III  would   be  used,
reflecting  wet  conditions  when  the  storm event  begins.   The  multiplication
factors for converting AMC  II to AMC III are found in Table 6-4.
    6.4.1.4.   STORM  RAINFALL  DEPTH  AND  DURATION  (R.,   T ) --  The  storm
                                                        t    r
depth  selected  for use with  this methodology is associated with  the 5-year
event.  The duration  of  the event should be matched to the duration (if any)
of  the  water  quality  criterion  (i.e.,  24-hour  LC5Q).   If  no  specific
duration  is associated with  the criterion,  then the user  should  attempt  to
maximize  either  the volume  of  runoff  (for  soluble pollutants) or sediment
production  (for adsorbed pollutants).   Runoff volume is a  function of  storm
depth.   The storm  depth,  R., is  a  function of  the storm  duration  chosen.
For  instance,  the  depth of  the 5-year, 24-hour duration storm  is  greater
than the depth of the 5-year, 0.5-hour duration event.
    In  this methodology,  the storm that  produces the  greatest  contaminant
load  is that which  produces  the  greatest  solids erosion  load  for contami-
nants  with  a  high  K..    For   low  K,  values,   the maximum  runoff  volume
                       d               d
event  is  of  greatest importance.   Since  there are  no   acute  particulate
related criteria,  the  methodology currently focuses on the dissolved portion
of  the  contaminant  load.    In  the  case  of high  Kd  values,  storms  that
maximize  the  product Qq   in  Equation 6-18  maximize   loadings at  a  given
                         P
location.   Because  of the  nonlinear  relationships  between curve  number,
storm  duration  and  the  product  Qq   in Equations  6-16  and 6-17,   the  storm
                                   P
duration  that will  produce  the maximum  Qq  is  not easy to  select.   For
instance,  at  high  curve  numbers,  short-duration  storms  tend to generate
higher  Qq   products,  and  at   low  curve  numbers,   longer duration  storms
produce  higher  Qq   products.   Figure   6-4  illustrates  this difficulty.  For
a  100-year  recurrence  interval  at  Jacksonville,  Florida,  using  a  curve
                                     6-42

-------
                                  TABLE 6-4

              Antecedent Rainfall Conditions and Curve Numbers*
 Curve  Number  of
  Condition  II
                          Factor to Convert Curve Number for Condition II to

                                   Condition I          Condition III
10
20
30
40
50
60
70
80
90
100
0.40
0.45
0.50
0.55
0.62
0.67
0.73
0.79
0.87
1.00
2.22
1.85
1.67
1.50
1.40
1.30
1.21
1.14
1.07
1.00
Condition
                     General Description
                                                         5-Day Antecedent
                                                        Rainfall in Inches
                                                      Dormant
                                                      Season
                                                                      Growing
                                                                      Season
     I


    II

   III
                 Optimum soil  condition from
                 about lower plastic  limit to
                 wilting point

                 Average value for annual
                 floods

                 Heavy rainfall  or light
                 rainfall  and  low temperature
                 within  5  days before the
                 given storm
 <0.5
0.5-1.1
1.4-2.1
*Source: Schwab et al.,  1966
                                     6-43

-------
     20
     15
s
  < ID-
           2  3
                    ~TT
                    tr
                                   •o-
  12

DURATION
                                                       CN = 100
                                                       CN = 45
                                                                24
                            FIGURE 6-4

   Erosion Potential for Storms of Various  Durations for Soils
              With Selected Infiltration  Properties
                                6-44

-------
 number of 100, the  shortest  duration storm (0.5 hours)  produces  the highest
 erosion potential.  At a curve  number of 45, the  longest  duration storm (24
 hours)  produces the highest  erosion  potential,  and at a curve  number of 70,
 the 2-hour duration  storm produces  the highest potential.
     The suggested approach  is to  run through the calculation  of storm volume
 and peak runoff rate for each storm  duration and select  the storm having the
 greatest Qq   product.   Rainfall   frequency maps,  reproduced  from  Hersch-
 field  (1961)  for  the 5-year recurrence interval, are shown  in  Appendix 3.
     6.4.1.5.    AVAILABLE  SOIL   WATER — Available   water  in   the   soil   is
 defined as  the  difference   between   the  water  content  at   field   capacity
 (efc)   and  wetting   point   (e  ).    Field  capacity  is   a   condition   at
 which  the forces  that  hold   water  in the soil  are balanced by  the force  on
 the soil water that is  due  to gravity.  This condition  is usually taken  to
 correspond  to  a  tension in  the soil  of  0.33 ,bar.   Wilting  point  is the
 water  content  at  which the  forces  that  hold  water  in  the  soil  equal the
 force that plants  can  exert   to extract  it.   This  condition is usually taken
 to  be at a tension of  15 bar.
    Sludge  additions  to the soil   increase  the  values  of  both  e   and
                                                                       fc
 %'   K1adivco  and  Nelson  (1979)  and  Gupta et  al.  (1977)  reported  that
 although  efc  and  ewp  increased  with  sludge  additions,  the  effect  on
 their  difference  was  negligible.   Epstein  et  al.  (1976)  reported  only  a
 slight  increase in available  water.   In their review of the available liter-
 ature on the  effects of  organic  waste applications on soils,  Khaleel et al.
 (1981)  concluded  that  the  addition  would have minor effects  on available
water.  Therefore, no adjustment  for  available  water for sludge  additions is
 suggested.
                                     6-45

-------
    To obtain a  value  for the soil(s) of interest, the data analysis done by
Rawls et al.  (1983)  can be used.  Figures 6-5 and 6-6, reproduced from their
manuscript, give  the water  content  at field capacity  (1/3  bar)  and wilting
point  (15  bar).   The  available  water content is  computed  as  the difference
in  these two.   The  textural classification  of  the soil  (% sand,  silt  and
clay) is needed to utilize the graphs.  It can be estimated from Figure 6-7.
    6.4.1.6.   SOIL-WATER    DISTRIBUTION    COEFFICIENT    OF    CONTAMINANT
/K  ) — Soil-water  partition coefficient  may be determined  from available
  d
information  in  the  literature,  may  be  estimated from other physicochemical
properties  or may be  determined  by  site-specific experimentation.  Guidance
for determination of K. is provided in Appendix 5.
6.4.2.   Data  Inputs  for  Receiving  Water  Analysis.   Only  a  single  input
parameter,  the  flow,  is   required  for  the receiving  water  calculation.
However,   derivation   of  the  proper  value  depends  on   the  analysis  type
(long-term or event) and  the site location as discussed in  the following.
    6.4.2.1.   LONG-TERM   ANALYSIS — For   the    long-term   analysis,   the
receiving  water is  characterized  by  its  total  annual flow.   This value is
rarely reported for  a water body.   More  typically, a mean annual flow rate
will  be given  in mVsec  or similar  units.   This value  must be multiplied
by  the appropriate  factor to convert  it  to volume/yr.
     6.4.2.2.    EVENT  ANALYSIS   -  SITE   ON   SMALL STREAM  —  For  the  event
analysis,  the total flow parameter  is equated to the  product  of  the  flow and
duration  of  the event.   The duration  of  the  flow  event  should match the
duration of  the  rainfall event  and  the duration  associated  with  the water
quality criterion.  The  flow rate should be selected by  finding the  annual
minimum flow rate of  the proper duration that occurs  once in 5  years.   This
 is  done by finding the  minimum flow rate  that  occurs each year in a  long-
 term  data set  of  flow  events.   These  annual  minimum  flow  rates are  then

                                      6-46

-------
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                                 100
\
         SANDY      \  riAYIftAM  /  SILTY
         CLAY LOAM   \  CLAY LOAM  /   CLAY LOAM
                           LOAM
           SANDY LOAM    \      /     SILTY LOAM
        <£     <§>
                      FIGURE 6-7

Soil Classification Chart Developed by Bureau of Public Roads

             Source:   Terzaghi  and Peck, 1967
                          6-49

-------
ranked from smallest  to  largest and plotted on log-linear paper with flow on

the arithmetic  scale  and  recurrence  interval  on the log scale.  The  one in

5_year event is selected from a best-fit line through these points.

    6.4.2.3.   EVENT  ANALYSIS  - SITE  ON  A  LARGE  RIVER — If the  site  lies

near a large  river,  the local  storm  event  may not greatly affect total  flow

1n the  receiving water.   Indeed, the runoff event may occur at  a  time  when

the  riverflow  is  very  low  because  of  conditions  at  the  headwaters.   To

consider  this  possibility, the  flow value  should  be set  at the product of

the 7-day, 10-year low flow rate and the duration of the storm event.

6.5.   HEALTH AND ENVIRONMENTAL EFFECTS

    Toxic  pollutants  that end  up in  surface  waters as  a  result of surface

runoff  from the  SMA can  cause adverse  health  or  environmental  effects in

several ways:


1.  Adverse  effects  on  fish  and other biota  inhabiting streams, lakes
    and  estuaries.   For  example,  if the  concentration of a particular
    pollutant  exceeds a  certain  reference  value,  fish and other biota
    will  either  die  or experience some other  adverse effects (reproduc-
    tive  effects, growth  retardation, etc.).

2.  Adverse  effects  on  wildlife that consumes water and  fish from pol-
    luted  surface waters.   Some  pollutants may  accumulate  in  surface
    water biota (bioaccumulation).   Although  these  pollutants  may not
    cause  problems  in  fish  and other  water biota,  they may adversely
    affect animals  consuming such polluted  fish  and  other  biota.  An
    example  of  such  a  possibility  is the recent  wildlife  problem in
    California that is due to  selenium-polluted  surface waters.

3.  Adverse  effects  on  human health  can  be  either direct,  by water con-
    sumption,  or indirect, by  fish and animal consumption.   If the diet
    includes  fish and  animals  that  have  bioaccumulated  a  toxic pol-
    lutant from surface waters, the  indirect  mode of toxicant consump-
    tion  may predominate.


The  final RWC of a pollutant should  be selected  in  a  way  that protects  both

the environment  (fish and  terrestrial  wildlife)  and  human health.

6.5.1.    Aquatic  Life   Protection.    For protection  of  aquatic  life   from

long-term effects,  the  AWQC should  be  used  (Federal  Register,  1980).    The
                                      6-50

-------
AWQC  contains  two  concentrations,  one  that should  not be  exceeded  at any
time  and another that  should not  be  exceeded, on an  average,  in a 24-hour
period.   Criteria  for  acute exposures  normally utilize  tests  of 96-hour
duration  or less.  For  chemicals for which criteria are  not available* the
literature  should be  evaluated to determine whether  useful  data have become
available since the AWQC was developed.
6.5.2.   Wildlife  Protection.  Use  of  the  AWQC  is  not sufficient  for the
protection  of  wildlife  because  it fails to account  for biomagnification in
the  food chain.  For  certain chemicals, such as  DDT with  the biomagnifica-
tion  factor of  up to  500,000 (Kenaga,  1972), the consumption of contaminated
aquatic  food may  be a significant source of the residue body burden of mem-
bers  of higher trophic  levels of  the food chain.   Moreover, the  AWQC are
designed for  individual  chemicals and  do not account for interaction between
chemicals.
6.5.3.   Human  Health Effects.    RWC  (in  mg/2.)  is  defined as  a  surface
water (stream,  lake or estuary)  concentration  of  pollutant  used  to evaluate
the potential for adverse  effects on human health.   If a  particular concen-
tration  in  sludge or  management  practice of land application results in sur-
face  water  concentration of  a pollutant that  is due to runoff  greater than
the RWC,  adverse  health effects  may occur  in  a  human  population  using the
surface  waters  as a  source  of drinking  water  or consuming  fish  from  these
waters.
    Two  types  of pollutants  have  to  be  considered:   pollutants  that  act
according  to a  threshold  mechanism  of toxicity and   pollutants  that  act
according to a nonthreshold mechanism.
    6.5.3.1.   THRESHOLD-ACTING  TOXICANTS — Threshold  effects  are   those
for which a  safe  (subthreshold)  level  of toxicant exposure  can  be  defined.
                                     6-51

-------
The  Agency  considers  that all  noncarcinogenic  toxicants  act according  to
threshold mechanisms (Federal  Register, 1980).
    If  the  source  of contaminant  is  only  drinking  water,  RWC   (mg/a.)  is
                                                                 W
derived as follows:
where:
RWC« =

      -  TBI   * Iw
                                                                      (6-39)
       RfD = reference dose (mg/kg/day)
       bw  = human body weight (kg)
       Iw  = total water ingestion rate (9,/day)
       TBI = total  background  ingestion rate of  pollutant  (mg/day)  from all
             other sources of exposure
       RE  = relative effectiveness of ingestion exposure
If  the only source  of  pollutant is fish  living  in  polluted surface waters,
the  reference  concentration  in water is calculated  according  to the follow-
ing  equation:
                            RfDxbw
                    RWCf =
                               RE
  - TBll * (BCF x If)
                                              (6-40)
where:
       BCF = bioconcentration factor in fish (ft/kg)
       If  = human consumption of fish (kg/day)
 If  the source  of pollutant  is  both drinking  water and  fish  from polluted
 surface  water,  the reference concentration  is  calculated according to Equa-
 tion 6-41:
                        /
                         RfD  x bw
                RWCwf =
                             RE
- TBI I * [Iw + (BCF x If)]
                                              (6-41)
 The  definition  and  derivation  of  each of  the parameters  used  to estimate
 various  RWCs  for threshold-acting toxicants  are  further discussed below.
     6.5.3.1.1.    Reference   Dose  (RfD) --When   toxicant  exposure  is  by
 ingestion,  the threshold assumption has traditionally been  used to  establish
 an  ADI.   According to Lu (1983), the  Food and Agricultural Organization and
 the  'World  Health Organization  have defined ADI  as  "the daily  intake  of a
                                      6-52

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  chemical  that,  during an entire  lifetime,  appears  to be without appreciable
  risk  on the  basis  of all  the  known facts at the  time.   It is expressed in
  milligrams  of  the  chemical  per kilogram  of  body weight  (mg/kg bw/day).»
  Procedures  for  estimating  the  ADI   from various  types  of toxicological data
  were  outlined  by  the  U.S.  EPA  in  1980 (Federal  Register,   1980).   More
  recently  the Agency  has preferred  the use  of  a  new term, the "reference
  dose,"  or RfO,  to avoid the connotation   of  acceptability, which  is  often
  controversial.
     Values  of  RfD  for  noncarcinogenic  (or  systemic)   toxicity have  been
 derived by  several  groups  within the  Agency.   An effort  is  currently  under
 way to corroborate  these  values  and  to produce a  master list of RfDs for use
 by the various  Agency programs.   Most  of the noncarcinogenic chemicals  that
 currently  are candidates for  sludge  criteria for  the  groundwater pathway are
 included  on  the Agency's  RfD list,   and thus no  new effort will  be  required
 to establish  RfDs  for  deriving sludge  criteria.    For any  chemicals  not
 listed,  RfD   values  should  be   derived   according   to   established  Agency
 procedures  (U.S.  EPA,  1987).
    6.5.3.1.2.    Human  Body  Weight   (bw) and   Water  Ingestion  Rate  (I  ) —
                                                                        w
 Both  bw and  Iw  vary  widely  among   individuals  according  to age and   sex.
 For  example,  Table  6-5  shows the variation of adult  drinking  water intake
within  and  among  several  studies.   Mean intakes  in New  Zealand, Great  Bri-
tain,  The  Netherlands  and Canada varied from  0.96  to 1.30  H/day, and  90th
percentiles  varied  from  1.64  to  1.90  i/day.    The  variations  of  mean
drinking  water  intake  and   body weight  with  age  and   sex  for  the  U.S.
population  are  illustrated   in Table  6-6.    The choice of values  for  use in
risk assessment  depends  on  the definition  of  the individual  at  risk, which
in turn depends  on  exposure  and  susceptibility  to adverse  effects.   The RfD
(or ADI) was defined above as the dose on  a body-weight  basis that could be

                                    6-53

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                                  TABLE  6-6

    Water Ingestion  and  Body  Weight  by Age-Sex  Group  in  the  United  States
Age-Sex Group
6-11 months
2 years
14-16 years, female
14-16 years, male
25-30 years, female
25-30 years, male
60-65 years, female
60-65 years, male
Mean Water
Ingestiona
(ma/day)
308
436
587
732
896
1050
1157
1232
Median
Body Weight
(Kg)
8.8b
13. 5&
51. 3&
54. 2b
58. 5C
67. 6C
67. 6C
73. 9C
Water Ingestion
per Body Weight
(ml/kg/day)
35.1
32.2
11.4
13.5
15.3
15.5
17.1
16.7
aSource: Pennington,  1983.   From the revised FDA Total  Diet Study.
 Includes categories  193,  195-197,  201-203.

bsource: Nelson  et al., 1969.   Calculated  by  averaging  several age  or  sex
 groups.

cSource:  Society  of  Actuaries,   1959.   Average  body  weights  for  median
 heights of  156  cm  (5  ft.  5  in.)  and 173  cm  (5  ft.  8 in.) for females  and
 males, respectively.
                                     6-55

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safely tolerated over a  lifetime.   As shown in  Table  6-6,  water consumption
on a body-weight basis  is  substantially higher for infants and toddlers than
for  teenagers  or  adults.   Therefore,  infants  and   toddlers  would  be  at
greater  risk  of   exceeding  an  RfD  when  exposure is  by  drinking  water.
However,  the  effects  on which  the  RfD is  based may  occur  after a  long
cumulative   exposure   period,   in  some  instances  approaching   the   human
lifespan.   In these cases  it  may  be reasonable to base  the  derivation  of
criteria  upon  adult values  of bw and I  .   In cases where  effects  require  a
                                       W                                  ,
shorter  exposure  (i.e.,  <10 years) and where  children  are  known  to  be  at
special  risk,  it  may  be  more appropriate  to  use values  for  toddlers  or
Infants.
    The approach currently employed in the derivation  of Recommended Maximum
Contaminant  Levels  (RMCLs)  by the  U.S.  EPA  Office of  Drinking  Water  is  to
assume  a  bw  and   I  of  70  kg  and  2.0  9,/day,  respectively  (Federal  Regis-
                   w
ter, 1985).   As may be seen from Table  6-5,  the value  of  2.0  a/day exceeds
the 90th  percentile estimates from the studies  presented,  and  thus  repre-
sents  a  relatively high exposure,  although  the total  range  can  extend well
above  this  value,  at least  on  a  given sampling day.  On  a  body-weight basis,
however,  this represents an intake  of  28.6  ma/kg/day,  which  is  somewhat
less than the  mean intake  for infants and toddlers.  Therefore, care must  be
taken  to  ensure protection  of  children in cases where  they are at risk.  For
example, the  RMCL  for  lead,  a  toxicant known to threaten children,  was based
on exposure of infants  rather than adults (Federal Register, 1985).
    6.5.3.1.3.   Total   Background   Ingestion  Rate  of  Pollutant  (TBI) —  It
is  important  to  recognize  that sources  of exposure  other than the  sludge
disposal practice  may exist, and  that the total exposure should be maintain-
ed  below the RfD.   Other  sources  of  exposure  include  background  levels
(whether   natural   or   anthropogenic)   in   drinking   water  (other   than
                                     6-56

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groundwater) ,  food  and  air.   Other types  of  exposure  that  are due  to
occupation  or habits,  such  as smoking,  might also  be included depending on
data  availability  and  regulatory policy.   These  exposures  are  summed  to
estimate the  TBI.
    Data for estimating background exposure usually are derived from analyt-
ical  surveys of  surface,  ground or  tap  water;   from  FDA  market basket sur-
veys  and  from  air-monitoring  surveys.   These  surveys  may  report  means,
medians, percentiles  or ranges,  and detection limits.   Estimates  of TBI may
be  based on values representing central  tendency  or on upper-bound exposure
                    (
situations,  depending  on  regulatory  policy.   Data  chosen to  estimate TBI
should  be   consistent  with   the  value  of  bw.   Where  background  data  are
reported  in  terms  of  a concentration in  air or water,  ingestion  or  inha-
lation  rates applicable to  adults or children  can be  used  to estimate the
proper  daily background  intake value.   Where  data are  reported  as  total
daily dietary intake  for adults and similar values for children are unavail-
able, conversion  to an intake for children may  be required.   Such a conver-
sion could  be estimated on the basis  of  relative total food intake or rela-
tive total  caloric intake between adults  and children.
    As  stated in  the  beginning of  this  subsection, the  TBI  is  the  summed
estimate of  all  possible  background  exposures,  except exposures  resulting
from a  sludge disposal  practice.   To be  more exact, the TBI should be  a sum-
med total of  all  toxicologically effective intakes  from all  nonsludge  expo-
sures.  To  determine  the  effective  TBI,  BI  values for each  exposure  route
must be divided  by that route's particular RE factor.   Thus,  the TBI  can  be
derived after all the  background  exposures have been  determined,  using the
following equation:
                           BI (nonsludge
                                                                        (6-42)
                                     6-57

-------
where!
        TBI = total  background  intake  rate  of  pollutant  from  all  other
              sources of exposure (mg/day)
        BI  = background  intake  of  pollutant  from  a given exposure  route,
              indicated by subscript (mg/day)
        RE  = relative  effectiveness,  with  respect  to drinking water  expo-
              sure, of the exposure route indicated by subscript (unitless)
    6.5.3.1.4.   Relative  Effectiveness  of  Exposure  (RE) -- RE  is a  unit-
less  factor  that  shows the relative toxicological effectiveness of  an  expo-
sure  by  a  given route when compared with another route.  The value of RE may
reflect  observed   or  estimated  differences   in   absorption   between  the
inhalation and  ingestion  routes, which can  then significantly  influence the
quantity of  a  chemical that  reaches a particular target  tissue,  the length
of  time  it  takes  to get  there,  and the degree and  duration of  the effect.
The  RE  factor  may  also  reflect differences  in the  occurrence of  critical
toxicological   effects at  the  portal  of   entry.    For  example,  carbon
tetrachloride and  chloroform were  estimated to be 40 and  65%  as  effective,
respectively,  by  inhalation  as  by  ingestion based   on  high-dose  absorption
differences  (U.S.  EPA, 1984e,f).   In  addition  to route  differences,  RE can
also  reflect differences  in bioavailability  due to  the exposure conditions.
For  example,  absorption of nickel ingested  in water  has been estimated to be
5  times  that of nickel ingested  in  diet  (U.S.  EPA,   1985d).  The presence of
food  in  the gastrointestinal   tract  may  delay  absorption  and  reduce  the
availability   of  orally   administered   compounds,   as   demonstrated  for
halocarbons  (NRC,  1986).
     Physiologically  based pharmacokinetic  (PB-PK)  models have  evolved into
particularly  useful  tools  for   predicting   disposition  differences due  to
exposure route  differences.   Their use is predicated on  the premise that an
                                     6-58

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effective (target-tissue) dose achieved  by one route in a particular species
is expected to  be  equally effective when achieved  by  another exposure route
or in some  other  species.   For example, the proper measure of target-tissue
dose for a  chemical  with pharmacologic activity would  be the tissue concen-
tration divided  by some  measure  of the  receptor binding  constant  for that
chemical.   Such  models  account for fundamental physiologic  and  biochemical
parameters  such as  blood  flows,  ventilatory parameters, metabolic capacities
and  renal  clearance,  tailored by  the physicochemical  and  biochemical prop-
erties of  the agent  in  question.   The behavior of  a  substance administered
by  a different  exposure route can be determined  by  adding  equations that
describe  the  nature  of  the  new  input  function.  Similarly,  since known
physiologic  parameters  are  used,  different species  (e.g., humans  vs. test
species) can  be modeled  by  replacing the appropriate  constants.   It should
be  emphasized  that PB-PK models  must be  used in  conjunction with  toxicity
and  mechanistic  studies  to relate  the  effective dose  associated  with  a
certain  level  of  risk  for  the  test  species  and   conditions  to  other
scenarios.   A detailed  approach   for  the  application  of  PB-PK  models  for
derivation  of  the RE factor is beyond  the scope of this  document,  but the
reader  is   referred  to   the  comprehensive discussion  in NRC  (1986).   Other
useful  discussions  on considerations  necessary when extrapolating  route-to-
route are found in Pepelko and Withey (1985) and Clewell and Andersen  (1985).
     Since  exposure  for the runoff pathway  is  by drinking  water  or fish
consumption, all  the  RE factors  are applied with  respect to the oral  route.
Therefore,  the value  of RE in  Equations 6-39  to 6-41  gives the  relative
effectiveness  of  the exposure  route and circumstances on  which  the RfD was
based  when  compared  with drinking water or  food,  as appropriate  for each
equation.   Similarly,  the   RE factors  in  Equation 6-42  show the  relative
                                     6-59

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 effectiveness,  with respect  to the  oral  route,  of each background exposure
 route  and  matrix.
    An RE  factor should  only  be  applied  where well documented/referenced
 information    is   available    on   the    contaminant's   observed   relative
 effectiveness   or  its  pharmacokinetics.   When   such  information   is  not
 available, RE  is  equal to  1.
    6.5.3.1.5.    Bioconcentration  Factor  (BCF)  — Bioconcentration   is  the
 ability  of living organisms to  accumulate substances  to  higher than ambient
 level  concentrations.    The  degree to which  a  chemical  accumulates   in  an
 aquatic  organism above  ambient concentrations is  indicated  by BCF.  Speci-
 fically,  it  is  defined  as the quotient of  the concentration  of a substance
 in  all or part of an aquatic organism (mg/kg fresh  weight)  divided  by the
 concentration  in water  to which the organism has  been  exposed (mg/fc).  The
 BCF  is  usually determined at  equilibrium  conditions,  or for  28-day expo-
 sures,  and is  based upon  the  fresh  weight of the  organism.   The  BCF  there-
 fore has units  of mg/kg  (mg/il)"1, or a/kg.
    Bioconcentration is  distinguished  from other terms commonly used to des-
 cribe  increases in the  concentration of  chemicals in an  organism, such  as
 blomagnification,  bioaccumulation  or ecological  magnification,  in  that bio-
 concentration  considers  only  the  uptake  of  a pollutant by an organism from
 the ambient water.   The  other similar processes are associated with increas-
 es in  the  concentration  of chemicals resulting from consumption of contami-
 nated  food sources as well as accumulation from water.
    Although  it has  been  documented  in numerous  studies  that bioconcentra-
tion may be the primary  pathway for accumulation  (Marcelle and Thome, 1984;
 Banner et  a!.,  1977;  Clayton  et al.,  1977),  there is  also evidence that bio-
magnification by  aquatic  food  chains  can  be  important  under certain environ-
mental circumstances (Lee et al., 1976).

                                     6-60

-------
    Bioconcentration factors  are specific  for  the compound  and  the species
absorbing the compound.   The  compounds  with the greatest  tendency  to bioac-
cumulate are those  that  are lipophilic  and resistant  to  biological  degrada-
tion.   Initial  diffusion into  the  organism occurs by  rapid  surface adsorp-
tion or partitioning to  the  lipoprotein layer  of cell membranes.   Once in
the  bloodstream,  subsequent  accumulation  of  the  chemical   into  particular
compartments of the  organism  is dependent upon the metabolic capabilities of-
the organism and  the lipid  content of the  individual  organs.  With continu-
ous  exposure  to  a  compound,  the  condition is  eventually reached  when  the
rate of excretion is equal to the rate of uptake.
   . Bioconcentration  factors   can  be  estimated  through   laboratory  experi-
ments,   field  studies,   correlations  with  physicochemical  factors   such  as
octanol-water partition  coefficients and models  based upon  pollutant  bio-
kinetics  coupled  to  fish  energetics.   In the  development  of the  ambient
water quality criteria,  the U.S. EPA used mostly laboratory data in the cal-
culation of BCFs.   Field data are often  less  reliable  than  laboratory data,
because it  cannot usually be  shown that  constituent concentrations  in field
situations  have  been held  constant  for  a  long  period of time or  over  the
range of  territory  inhabited  by the organism.   BCFs  calculated from field
data also  may be greater than those calculated from  laboratory  data, which
is  apparently due to  ingestion of  the  compound through prey,  sediments  and
water in addition to absorption from water.
    Where laboratory and  field  data  are not available, bioconcentration fac-
tors can  be  estimated  by  several  methods.   Correlations between  BCFs  and
octanol-water partition  coefficients, water  solubility and  soil  adsorption
coefficients have been documented.   Veith  et al.  (1979)  developed  the  fol-
lowing  equation  using  the  correlation  between  the bioconcentration factor
                                     6-61

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and  the  n-octanol/water  partition  coefficient  (K   )  to  estimate BCFs  to
                                                   ow
within 60% before laboratory testing:
                     log   BCF = 0.85 log1Q KQW - 0.70.                 (6-43)
The  equation was  developed  using  data  from whole-body  analyses  of  ~7.6%
Hpids  (Federal  Register,  1980).   The  U.S. EPA adopted  the  equation  devel-
oped by  Veith  et al.  (1979) for use in determining BCFs for use in  the expo-
sure sections  of the health  effects chapter of the  AWQC  documents  in those
cases where  an appropriate  bioconcentration  factor  is not available.   In  a
later study,  Veith et  al.  (1980) used  the results  of their own  laboratory
experiments  and  data  from  other laboratories for a  variety  of  fish  species
and  84  different organic  chemicals  to obtain the following  modification  of
their original equation:
                     Iog1() BCF = 0.76 log^ KQW - 0.23.                 (6-44)
Equations  similar  to  the  ones  developed by  Veith  et al.  (1979, 1980)  have
been developed  for more  specific  chemical  classes  and  particular  aquatic
species   (Veith  et  al., 1979;  Neeley  et al.,  1974).   Other  investigators
(Norstrom et al.,  1976)  have developed more elaborate models  using  pollutant
biokinetics and  fish energetics  in  addition to using octanol/water  partition
coefficients to predict  bioconcentration factors.
    Since bioconcentration for  lipophilic compounds  depends on lipid  content
of the fish,  it  is  important to adjust measured  or  estimated BCF values for
these compounds to  reflect the  lipid content of seafood in the United  States
diet.   The U.S.  EPA determined  in  1980  that the average lipid content  of
freshwater and estuarine species, weighted  by average daily consumption, was
3.0% (Federal  Register,  1980).   Since  fresh and estuarine  waters  would  be
                                     6-62

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those  impacted  by runoff  from sludge application sites, a  lipid  content of
3.0% should be assumed.  The adjustment is made as follows:
                                           LCd
                               BCFa  =  BCFU
where:
LCe
                            (6-45)
         BCFa = adjusted BCF (a/kg)
         BCFU = unadjusted BCF (a/kg)
         LCd  = lipid content of dietary seafood (kg/kg)
         LCe  = lipid content of experimental organism (kg/kg)
    6.5.3.1.6.   Fish  Consumption   Rate  (I ) —Several   recent   publica-
tions  have  provided  estimates  of  average  daily  intake  of  fish.   A  USDA
survey  conducted  in  1977-78 estimated  mean  intake  to range  from  9 to  14
g/day  (including  all  types  of  fish  such  as  shellfish  and  canned  fish)
depending on  geographic  region,  with the Northeast showing the highest value
(USDA, 1985).  Another  survey  document estimated the national  average to  be
12.9  Ib/year  or 16  g/day (USDA, 1984).  This  latter  document separates  fish
into  categories, such as  fish,  shellfish,  and canned fish.   Daily  intake  of
fresh or frozen fish was 6.46 g/day.
    The most  recent fish consumption  document from  the  U.S.  Department  of
Commerce  (1985)  reports  total  per  capita  fish  and shellfish  consumption
ranging from  12.8  Ib/year  in  1980  to  13.6  Ib/year  in  1984, which  is  the
highest consumption  on  record   (Table  6-7).  The  latter  value  is  a daily
intake  of  16.9 g of  fish  (all kinds).   These figures do not  include any
recreational  catch, which is estimated  to be  an  additional 3-4 Ib/year  or
3.7-5 g/day (U.S. EPA,  1980a).   If we assume a  value of  3.5 Ib/year or  4.35
g/day from  recreational  fishing, the total average per capita  intake  of all
types of seafood is  ~21.25 g/day.
    Runoff  from sludge  disposal  sites  could  affect freshwater  and estuarine
species, but  not  the marine  species that  constitute the greater portion  of
seafood in  the U.S.  diet.   To estimate  average  daily  consumption of the
                                     6-63

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                TABLE 6-7

  U.S.  Annual Per Capita Consumption of
Commercial Fish and Shellfish, 1960-19843
Year
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977d
Civilian Resident
Population
Million Persons
178.1
181.1
183.7
186.5
189.1
191.6
193.4
195.3
197.1
199.1
201.9
204.9
207.5
209.6
211.6
213.8
215.9
218.1
Per
Fresh
and Frozen'3
Capita Consumption
Canned0
Pounds of Edible
5.7
5.9
5.8
5.8
5.9
6.0
6.1
5.8
6.2
6.6
6.9
6.7
7.1
7.4
6.9
7.5
8.2
7.7
4.0
4.3
4.3
4.4
4.1
4.3
4.3
4.3
4.3
4.2
4.5
4.3
4.9
5.0
4.7
4.3
4.2
4.6
Cured
Meat
0.6
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.4
0.4
0.5
0.5
0.4
0.5
0.4
0.5
0.4
Total

10.3
10.7
10.6
10.7
10.5
10.8
10.9
10.6
11.0
11.2
11.8
11.5
12.5
12.8
12.1
12.2
12.9
12.7
6-64

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                              TABLE  6-7  (cont.)
Per Capita Consumption
Year
1978d
1979d
1980d
1981d
1982d
1983d
1984^
Civilian Resident
Population
Million Persons
220.5
223.0
225.6
227.7
229.9
232.0
234
Fresh
and Frozen'3
Canned0
Cured
Total
Pounds of Edible Meat
8.1
7.8
8.0
7.8
7.7
8.0
8.3
5.0
4.8
4.5
4.8
4.3
4.8
5.0
0.3
0.4
0.3
0.3
0.3
0.3
0.3
13.4
13.0
12.8
12.9
12.3
13.1
13.6
aSource:  Adapted from U.S. Department of.Commerce, 1985

bBeginning in 1973, data include consumption of artificially cultivated
 catfish.

cBased on production reports,, packer stocks and foreign trade statistics
 for individual years.

dDomestic landings data used in calculating these data are preliminary.

Note:  These  consumption   figures  refer  only  to  consumption  of  fish  and
       shellfish entering  commercial  channels,  and they do  not  include data
       on  consumption of  recreationally  caught  fish  and   shellfish,  which
       since  1970  is  estimated  to  be  between  3   and  4  pounds  (edible
       meat)/person annually.   The  figures  are calculated  on  the basis  of
       raw edible  meat (e.g.,  excluding  bones, viscera, shells).  The U.S.
       Department  of  Agriculture  (USDA)  consumption  figures  for  red  meats
       and poultry  are based on the  retail  weight of the products,  as pur-
       chased  in  retail   stores.   The  USDA estimates  are the  net  edible
       weight to  be ~70-95% of  the  retail  weight, depending on the  cut  and
       type of  meat.   From  1970 through  1980,  data were revised  to  reflect
       the results of  the  1980 census.
                                     6-65

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former,  the  U.S.  EPA examined  data  from  a survey  of  fish consumption  in
1973-74  (as  reanalyzed  in  U.S.  EPA,  1980a)  and eliminated all  species  not
taken  from  fresh or  estuarine  waters (Stephan, 1980).  Per capita  consump-
tion  was reduced  from  13.4  g/day  to 6.5  g/day,  or  by   a  factor of  2.1.
Therefore, it  seems reasonable  to  assume that  in most  instances freshwater
and  estuarine  species will constitute  ~5Q% of  total  consumption  or  ~10.6
g/day.
    There  is  a  great  disparity  from  the  national  average,  depending  on
region,  age,  race  and religion.  SRI  reported  fish intake by the  black  and
Jewish  populations  to be  double the  average  value  (U.S.   EPA,  1980a).   The
New England  and  East  South Central   regions  had  the  highest fish consumption
regionally.  Consumption  levels  in  the upper 95th percentile were  typically
300-400%  of the national  average.    The  highest value  in the upper  95th
percentile was for  oriental populations  at  67.3 g/day (Table 6-8).   This is
502%  of  the  national  average reported by SRI.   Applying the same percentage
increase  to  the  revised  daily  average  consumption  of 10.6 g/day,  the 95th
percentile is estimated  to be ~53 g/day or ~43 Ib/year.
    6.5.3.2.   CARCINOGENS — For  carcinogenic   chemicals,  the  Agency  con-
siders  the  excess  risk  of  cancer to be  linearly related to dose (except at
high-dose  levels)   (Federal  Register,  1986a).   Therefore,  the  threshold
assumption  does  not  hold,  since risk  diminishes with  dose  but   does  not
become zero until dose becomes zero.
    The  decision of  whether to treat  a  chemical  as a threshold- or non-
threshold-acting (i.e.,  carcinogenic)  agent depends  on the  weight of  the
evidence  that  it  may be  carcinogenic  to  humans.   Methods for classifying
chemicals as to  their weight of evidence have been described by the U.S.  EPA
(Federal  Register,  1986a),  and most  of  the chemicals  that  currently  are
candidates  for  sludge  criteria have recently  been classified in  Health

                                     6-66

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                                  TABLE 6-8



             Fish Consumption by Demographic Variables (g/day)*
Demographic Category
Mean Consumption
Upper 95th Percentile
Race:
Caucasian
Black
Oriental
Other
Sex:
Fema 1 e
Male
Age (years):
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70+
Census Reqion:
New England
Middle Atlantic
East North Central
West North Central
South Atlantic
East South Central
West South Central
Mountain
Pacific

14.2
16.0
21.0
13.2

13.2
15.6

6.2
10.1
14.5
15.8
17.4
20.9
21.7
13.3

16.3
16.2
12.9
12.0
15.2
13.0
14.4
12.1
14.2

41.2
45.2
67.3
29.4

38.4
44.8

16.5
26.8
38.3
42.9
48.1
53.4
55.4
39.8

46.5
47.8
36.9
35.2
44.1
38.4
43.6
32.1
39.2
*Source: Adapted from U.S.  EPA, 1980a
                                     6-67

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Assessment  Documents  or other  reports  prepared by the U.S.  EPA's  Office  of
Health  and  Environmental  Assessment  (OHEA),  or  in  connection  with  the
development  of  RMCLs   for  drinking  water  contaminants  (Federal  Register,
1985).   To  derive  values  of  RWC,  a  decision  must  be  made  as  to  which
classifications  constitute   sufficient  evidence  for  basing a  quantitative
risk  assessment   on   a  presumption   of  carcinogenicity.    Chemicals   in
classifications A and  B,  "human carcinogen" and "probable human carcinogen,"
respectively,  have  usually  been  assessed as  carcinogens,  whereas those  in
classifications   D   and   E,   "not   classified"   and  "no  evidence   of
carcinogenicity  for   humans,"   respectively,   have  usually  been  assessed
according  to  threshold effects.  Chemicals classified  as C,  "possible  human
carcinogen,"   have   received  varying  treatment.    For  example,   lindane,
classified  by  the  Carcinogen  Assessment Group  (CA6) of  the  U.S.  EPA  as
"B2-C",   or between  the lower  range of  the B  category and  category C,  has
been assessed  using both  the linear model for tumorigenic effects (U.S. EPA,
1980b) and based on threshold effects (Federal Register, 1985).
    In   addition   to   the   weight-of-evidence   classification,    which   is
independent  of  the  exposure  route,  the  route  of  exposure  must also  be
considered.   Certain  compounds  (e.g.,  nickel)  have  been  determined  to  be
probable  or definite  human  carcinogens  by the  inhalation  route but not  by
ingestion.  The issue  of  whether or not to treat an agent as carcinogenic  by
ingestion remains controversial for sever<»l chemicals.
    If a  pollutant is  to  be assessed according to nonthreshold, carcinogenic
effects,  the  reference  concentration  in  surface water used  for drinking,  but
not  supplying fish  for human  consumption  (RWC  ,  in  mg/a),  is  calculated
                                                w
as follows:
RWC
                          W
           * bw
                                           TBI1 * I
                                                   w
(6-46)
                                     6-68

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where:
RL  =
bw  =
It i  =
RE  =
             human cancer potency [(mg/kg/day)-i]
             risk level (unitless)
             human body weight (kg)
             water ingestion rate (9,/day)
             relative effectiveness of exposure (unitless)
If  the  only source  of  pollutant  is  fish from  polluted  surface waters, the
reference concentration (RWC ) is calculated according to the following:
                            /I
             RWCf
                                 bW

- TBI I * (BCF x If)
                                                                      (6-47)
If the  sources  of pollutant are both drinking  water from surface waters and
fish  living  in  these  surface  waters,   then   the  reference  concentration
(RWC .) can be calculated according to the following:
where:
                RWCwf'- (RL x bw  _ TBI ]V[IW + (BCF X If)]
                           * * RE
                                                               (6-48)
       TBI = background  ingestion  rate of pollutant  (mg/day)  from all other
             sources of exposure
       RE  = relative effectiveness of exposure (unitless)
       BCF = bioconcentration factor in fish (il/kg)
       I   = water ingestion rate (a/day)
        w
       If  = human consumption of fish (kg/day)
       q,* = human cancer potency [(mg/kg/day) *]
       RL  = risk level (unitless)
TBI,  RE,  BCF,  I   and  I   are  defined  as  for threshold-acting  toxicants,
and q * and RL are discussed in the next section.
    6.5.3.2.1.   Human   Cancer  Potency  (q -*) — For   most   carcinogenic
chemicals,  the  linearized  multistage model  is  recommended   for  estimating
human cancer potency  from  animal data (Federal Register,  1986a).  When epi-
demiological data are  available, potency is  estimated based on  the  observed
relative risk in  exposed  vs.  npnexposed individuals,  and on the magnitude of
exposure.  Guidelines  for  use  of these procedures  have been presented in the
                                     6-69

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Federal  Register  (1986a)  and  in  each  of  a  series  of Health  Assessment
Documents prepared by  OHEA  (i.e.,  U.S. EPA,  1985c).   The true potency value
is considered  unlikely  to  be above the upper-bound  estimate  of the slope of
the dose-response  curve  in  the low-dose range, and  it is expressed in terms
of  risk-per-dose,  where dose  is  in  units  of  mg/kg/day.   Thus, q *  has
units  of (mg/kg/day)"1.   OHEA has  derived  potency  estimates  for each  of
the  potentially carcinogenic  chemicals  that are  currently   candidates  for
sludge  criteria.  Therefore,  no  new  effort will  be  required to  develop
potency estimates to derive sludge criteria.
    6.5.3.2.2.   Risk  Level  (RL) — Since  by definition  no   "safe"  level
exists  for  exposure  to  nonthreshold  agents, values of  RC are calculated  to
reflect  various  levels  of  cancer risk.   If  RL  is set at zero,  then  RC  will
be  zero.   If  RL  is  set at 10~6,  RC will  be  the concentration  that,  for
lifetime  exposure,  is  calculated  to  have  an upper-bound  cancer  risk of  1
case  in  1  million individuals exposed.   This risk  level  refers  to  excess
cancer  risk,  that  is,  over and above the background cancer risk in unexposed
individuals.   By varying RL, RC may  be  calculated  for any level of  risk  in
the  low-dose  region  (i.e.,  RL<10~2).    Specification  of   a  given  risk
level on  which to  base regulations is a  matter  of  policy.   Therefore, it is
common  practice to  derive  criteria  representing   several   levels of  risk
without specifying any level as "acceptable."
6.6.   EXAMPLE CALCULATIONS
    The  methodology  presented  in  the  previous  two  sections  can best  be
illustrated  with example  calculations.   In  this section, calculations  are
first made  for an  individual site as  would  be  the  case with  a site-specific
application.   This  site-specific  forward  calculation  is  made  for  both  a
long-term  average  loading  case  and  an  event loading  case.   An example  is
                                     6-70

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also  given  for development  of national criteria  for  maximum allowable con-
taminant  levels  in sludge.   In each  case,  both  organic  and inorganic con-
taminants are considered.
6.6.1.   Site-Specific  Application.   A  step-by-step  discussion  of  a  site-
specific application  to  predict concentrations in runoff is presented below.
The  site  is assumed  to  be  a wooded  area in the  southeastern United States.
The application addresses  benzene  as the constituent of interest.  The input
data to be used in this example application are presented in Table 6-9.
    6.6.1.1.   LONG-TERM AVERAGE LOADING —
  I.   For  the  Tier  1   analysis,  calculate the  maximum  possible  receiving
       water concentration using Equation 6-4:
                               c. =Ni(As)(SMA)
                                     1000 V
where:
       N^  = concentration of contaminant in sludge - 30 mg/kg benzene
       As  = sludge application rate - 220 mt/ha/3 yr = 73,333 kg/ha-yr
       SMA = area of site to which sludge is applied - 100 ha
       V   = total annual flow - 1 m3/sec x 31,536,000 sec/yr =
             3.15x107 ma/yr
                    Ci =
                              30  (73.333)  (100)
                                 (3.15x107)  x 103
                               = 7.0xlO~3
C. must  then  be  compared  to  the  reference  water  concentration, RWC.   To
derive RWC, it was  assumed  that the recieving water  could  serve  as  a  source
of both  drinking  water and  fish consumption, and  since benzene  is a  known
human carcinogen,  Equation 6-48 is used:
                        RL x  t
RWCwf =
                        qi* x RE
                                 r TBIl * [IW +  (BCF x If)]
                                     6-71

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                                  TABLE 6-9
                Input Parameters  for the Example Calculations
Location — Southeastern United States
Soil Type — Silty clay loam
foc — Organic Matter Content = 2%
Land Use — Wooded, slight vegetative cover, poor hydrologic conditions
SMA — SMA area, 100 ha
As — Sludge application rate = 220 dry mt/ha/(3 years) = 73,000 kg/ha-yr
At — Application elapse time, 30 years
Rc — Recharge rate, 0.4 m/year
N ~ Dry weight contaminant concentration in sludge, benzene = 30 mg/kg
B — Sludge/soil bulk density, 1.2 g/cm3
d — Incorporation depth, 10 cm
Lb — Buffer zone length, 100 m
W -- Buffer zone width, 1000 m
R-t — Total event storm rainfall depth, 5 cm
Mt — Total event snowmelt depth, 0 cm
Tr — Storm duration, 6 hours
Kjj — Partition coefficient, benzene — 7.4xlO-a
Qf — Mean streamflow, 1 ma/sec
Ra — Annual precipitation, 100 cm/year
                                     6-72

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where:
             background  ingestion  rate of pollutant - set equal to zero
             in this example
             relative effectiveness  of exposure - 1.0 is used since the
             cancer potency value is that for the ingestion route
TBI

RE

BCF = bioconcentration factor = 5.2 I/kg (U.S.  EPA,  1980c)
       Iw  = water ingestion rate = 2 a/day (see Section
               6.5.3.1.2.)
       If  = human consumption of fish = 0.053 kg/day (see Section
               6.5.3.1.6.)
       qi* = 2.9x10-2 (mg/kg/day)-* (U.S. EPA, 1988)
       RL  = risk level - 10-* used for purposes of example
            RWCwf  =
                 1Q-6  x  70
                 0.029 x 1
* [2 + (5.2 x 0.053)3
                     1.1  x 10~  mg/4
Since the value of Ci  exceeds RWC,  it is necessary to proceed to Tier 2/3.
 II.  For Tier  2/3,  calculate the  solids loading  rate  on  erosion  from  the
      SMA using the USLE.
                           Xg = 2.24 R K (LS)  C P                      (6-7)
      A.   Determine R:  A value of  R was selected from Figure  A2-1.   Values
          of R  in the  southeastern  United  States  range from ~200 to  550
          year  l.   In  the  interest  of  picking  a  reasonable  "worst" case,
          a  value  of 400 year'1 was  assumed for this  example  problem.
      B.   Calculate K:  A "K"  value  of  0.32 tons/acre/year was  selected from
          Table  A2-2  for a  silty clay loam  soil  with an  organic matter con-
          tent  of  2%.   Although the  organic matter content may be higher in
          a  sludge application area, this value  was chosen  to be conserva-
          tive.
                                    6-73

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      C.  Calculate LS:   An  LS  value  of 4.33  was  selected from  Table  A2-3
          for a slope  of 10% and a slope length of 1000 feet.
      D.  Determine C:   A C  value  of  0.2  was assumed  for a forested  area
          with a slight vegetative cover.
      E.  Determine P:  A  P  value of 1.0 was  assumed  since the  land is  non-
          agricultural and no managing practices are applied.
    Based  on  the  above values,  and  using  Equation  6-7  the average  annual
sediment loss can be calculated as follows:
      Xe  = 2.24  (400  year"1)  (0.32 tons/acre/year)  (4.33) (0.2) (1.0)
          = 248 metric  tons/ha-year
III.   Calculate  the  contaminant  concentration  in in.  situ  sludge and soil.
      Take  into  account zero-order and  first-order loss rates  of the  con-
      taminant from the soil.
      For  contaminants with  first-  and zero-order  loss,   Equation  6-8a  is
      used.
                             Mm = ~  d-e~klAt)                       (6-8a)

      A.  Calculate the first-order coefficients  for  the composite loss  rate
          (k ) of benzene.
          1.  Calculate the  first-order infiltration  loss  rate as the ratio
              of the recharge  rate to  the  product of bulk  density,  depth  of
              incorporation and the distribution coefficient.
                                           (102)
                                   (B  d  Kd)
               (0.4 m3/m2-year)(102/[(1.2  g/cm3)  (10  cm)  (7.4xlO~3  cmVg)]
                                 = 450 yr""1
(6-8c)
                                     6-74

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 2.   Calculate  the  first-order  surface runoff  loss  rate as  the ratio of
     the sediment  loss  rate to the product  of  the bulk density and depth
     of  incorporation.
                   IN I I* —
                         B d
      = (10~2) (248 t/ha-yr)/[(1.2 g/cm3)  (10 cm)]
                       =  0.2  yr'1
3.  Calculate the first-order degradation  loss rate.
                       = 3.9 yr
                                                             (6-8d)
                                                            (6-8e)
The  composite  first-order  loss  rate  of benzene  (k )  is  calcu-
lated from the sum of the three components.
              k! ' "Si ' klR * k!D>
                 = (450 + 0.2 + 3.9) (yr"1)
                 = 454 yr
Calculate the  benzene loading  rate to the SMA (F.)  as  the  sludge
application  rate  times  the dry weight concentration  of  benzene  in
the sludge.
                       F.  -  As  N
          = (73 t/ha-yr)  (30  mg/kg)  (1000  kg/t)
                   =2.19  kg/ha-year
Calculate the long-term maximum amount of  benzene  in the SMA.
                  Mm =
                                                            (6-8)
                           6-75

-------
           where  k


                    =  2.19  kg/ha-year - 0.0 kg/ha-year


                    =2.19  kg/ha-year


            M  0 2.19 kg/ha-year [1_e-(454/year)(30 years)]

             m      454/year)
                                    •.-3
                           =  4.8  x  10    kg/ha


    E.   Calculate  the long-term  maximum benzene  concentration  in the SMA


        by dividing  the  long-term maximum amount  of benzene  in the SMA


        (M )  by  the  incorporation depth  (d)  times  the sludge/soil bulk
          m

        density (B).
                                                                    (6-10)
                          C = 10 M /(d  B)
                                  m


                                (10) (4.8 x 1Q-3 kg/ha)

                             (10 cm) (0.8 g/cma)



                            = 6.0 x 10~3 mg/kg


IV.   Calculate the  average  annual  loss  of  contaminant  from erosion  (LQ)


     as the  average  annual  sediment  loss  (X ) times  the average  contami-


     nant concentration in  the  sludge/soil  (C)  times the area (SMA)  of  the


     SMA.
                          LQ = 10 "  Xe C  (SMA)
                                                                     (6-11)
                                             * — 3
        LQ = (10  )  (248 mt/ha-year)  (6.0 x  10   mg/kg)  (100  ha)
                             =0.15 kg/year


V.  Calculate the  effect  of the  100 m  buffer  zone on the average  annual


    loss  of  contaminant  from  erosion  (L ).   The  average  annual  loss  by
                                          e

    contaminant  would   be  scaled  by  the  sediment delivery  ratio  (Sj),



    which is defined as


                        Sd = (3.28  Lbf°-22


                           = [(3.28)(100)]~°*22                     (6-12)


                           = 0.28
                                   6-76

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                             Le-LoSd
                                = (0.15M0.28)                         (6-13)
                                = 0.042 kg/year
 VI.  Calculate the  receiving  water concentration as the ratio of total con-
      taminant  delivered  each year  to the  total  annual volumetric  flow of
      the receiving water.
                               Le       Mi
                        Ci =
                             1000 V   1000 V
                          (2.2  kg/year)  (106 mo/kg)
                                                                      (6-3)
                 (1 ma/sec) (31,536,000 sec/year) (1000 a/ma)
                              =  1.3  x  ~\Q~* mg/2.
    This  is  well  below  the  RWC  of  l.lx!0~3   mg/fi.  and  indicates  that  no
further long-term analysis is required.
    6.6.1.2.    EVENT LOADING —
  I.   Calculate the Tier  I  estimate  of concentration for  storm  events  using
      Equation  6-6.
      A.   Determine the  total event  mass  loading.  From Equation  6-5:
      where:
                     Mi event = VAs)(SMA)                     <6'5>
      MI event = total event loading (mg)
      Ni       = total sludge contaminant concentration (mg/kg)
      AS       = sludge application rate (kg/ha)
      SMA      = area of land to which sludge is applied (ha)
               = (30 mg/kg) (73,333 kg/ha) (100 ha)
                      = 2.2x10"  mg  = 220  kg
B.  Determine the concentration  in  the  receiving water as the ratio of
    the event  mass  loading to  the total  receiving  water flow  during
    the storm event.   From Equation 6-6:
                                  Mi event
                 Ci =
'n  event  -
 1000  V     1000    Qf(Tr)  3600
                                    6-77

-------
      where:
                     = concentration of contaminant in  receiving  water (mg/8.)
            Mi  event = total  mass loading from the storm event (mg)
            1000
            Qf
            Tr
            3600
          = concentration of m» to  liters
          = mean  flow  rate during storm event  (ma/sec)
          = duration of  storm event (hours)
          = conversion of hours to  seconds
                         2.2 x 10«
                              1000  (1)(6)(3600)
                                 =  10 mg/8.
    This value would be  compared  with an acute  RWC  to  determine its  accept-
ability.
 II.  Calculate the runoff volume.
      A.  Calculate the watershed retention  parameter (S) using the SCS run-
          off  curve  number  (CN)  of  77  (corresponds  to  a  hydrologic  soil
          Group C,  a  woods  land  use and  poor hydrologic conditions).   For
          condition AMC III, CN - 77(1.21) = 93 as indicated  in Table 6-4.
                          S  = 2.54 [(1000/CN)  -10)3
                            =2.54 [(1000/93) -10]                    (6-15)
                             = 1.91  cm
      B.  Calculate the depth of runoff (D_Q) from the watershed area as
                                          K
                           DR
                                (Rt + Ht -
                                (Rt + Mt + 0.8S)
                                                            (6-14)
      C.
           = F5 cm + 0 cm - (0.2)  (1.91  cm)l2
             [5 cm + 0 cm + (0.8)  (1.91  cm)]
                       =  3.27 cm
Calculate  the  total  storm runoff  volume (Q)  as  the  area  (SMA)
          times the depth of runoff (0 ).
                                      K
                              Q = 100  (SMA)(DR)
                                = 3.3 x 10* m3
                                                            (6-16)
                                     6-78

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III.   Calculate the peak  storm runoff  (q  )  as
                          qp =
                               0.028  (Rt  + Mt)DR
                               Tr (Rt + Mt -0.2S)
(6-17)
                                                                     (6-18)
          = (0.028 cm-hr/m-sec) (100 ha) (5 cm + 0 cm) (3.27 cm)
                 (6 hours) [5 cm + 0 cm - (0.2) (1.91  cm)]
                               =  1 .65 mVsec
IV.  Calculate the single-event sediment load as
                      Xe  = 11.8  (Q  qp)°'56 K  LS C  P
     where K,  LS,  C and  P are defined  in Appendix  2.
e = 11.8 [(3.3xl04 ma)(1.65  m3/sec)]°-56(0.32 tons/acre/yr)(4.33)  (0.2)  (1.0)
                            = 1468 metric tons
 V.  Calculate the contaminant runoff  loss.
     A.   Calculate  the  maximum  contaminant  level  in  the sludge  (P ) as
         follows:
                            Pt „'
     B.
                 _2.19  kg/ha-vear  [l-e-<«4)  (30 years)]
                      454/year
                                =  0.8xlO~3 kg/ha
         Divide by the incorporation depth, d.
                             P  =   4.8x10-3  kg/ha
                              a         lO cm
                           = 4.8xlO~*  kg/ha-cm
         Calculate  the  available  water  capacity  (0)  as  the  difference
         between the wilting point and field capacity water content.
                                   6-79

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c.
From Figure  6-7  it can be  determined  that a silty clay  loam soil
has  a  textural  classification  of  about  10%  sand and  20%  clay.
From Figures 6-5 and  6-6  it can be determined  that  the  water con-
tent at  field  capacity and wilting  point are  about  35 and  10%,
respectively.   The  difference   between  these  values  yields  an
available water capacity  of 25%.   While these graphs  are  for 0.5%
organics,  both will  change proportionally  for  2%  organics  and,
therefore, the  25% difference  noted  here is  a  good  approximation
for the same soil with 2% organics.
Calculate the adsorbed and dissolved fraction.
1.  The adsorbed fraction is given by:
                          (1 + e/ty  B) I   a
                 Aa =

   I  [1 + 0.25/(7.4x10-3 cms/g)  (1.2
                      =16.5 mg/ha-cm
2.    The dissolved fraction is calculated as follows:
                                                            (6-24)
                                                    4.8x10-4  kg/ha-cm
                      a   I (1  + Kd B/e)
                                                            (6-25)
                                                      4.8x10-*  kg/ha-cm
           [1  + (7.4x10-3  cms/g)  (1.2  g/cm3)/0.25]
                       = 464 mg/ha-cm
D.  Calculate the loss of adsorbed and dissolved contaminant.
    1.  Adsorbed contaminant loss is calculated by:
                    Pxt =
                          100 SMA B
                                Aa (1  cm)
                                                             (6-26)
                               6-80

-------
            Pxt
                             1468 mt
                                           116.5 mg/ha-cm
                     (100)  (100 ha)  (0.8
                               =3.0 mg/ha
        2.  The dissolved contaminant loss is calculated as follows:
                    [Pqt  -  V  Da)1
                                                                (6-27)
V.
       = [3.27  cm/(5  cm + 0  cm)]  464 mg/ha-cm (1  cm)
                          =  300 mg/ha
Calculate the effect  of the  buffer strip on the event loading.
    1.   Calculate the sediment delivery ratio as follows:
                              - (3.28 Lb)
                                         -0.22
                                                                (6-12)
        where:
                 is  the  length  of  the  buffer  strip  in  m
                                         ~°-22
                          =[(3.28)  (100)]
                                 =0.28
        2.   Calculate  the sediment  load  delivered to  the receiving water
            as below:
                                                                   (6-29)
                      = [
                          = (3.0 mg/ha) (0.28)
                          =0.84 mg/ha
       3.  Calculate  the  total  unit  area   event  dissolved  contaminant
           loading to the receiving water.
                              P  '  = p
                               qt     qt
                             =  300 mg/ha
                                  6-81

-------
VI.
4.  Calculate total loads to the receiving water.
                    V"= V  (SMA)                        (6"30)
                 = 300  mg/ha  (100  ha)
                      = 3.0x10* mg
                    P  " = P   (SMA)                        (6-31)
                     A U     A I*
                 = (0.84  mg/ha)  (100 ha)
                         = 84 mg
Calculate the  receiving  water concentration for storm events using
the dissolved contaminant loading.
                   n.    pqt"
                                     I  event
                            1000  V    1000  V
                              3.0x10* mg
                                                                 (6-3)
              1000 (a./ma)(l ma/sec) (6 hr) (3600 sec/hr)
                             = 1.4xlO~3 mg/ii
     If acute sediment  criteria were available, the concentration would
     be calculated as follows:
                        Ci  =
                       pxt"  - Mi event
                       1000 V    1000  V
                            84  mg	
(6-3)
              (1000 S,/m3)(l m3/sec)(6 hr) (3600 sec/hr)
                         = 3.9 x 10~6 mg/8.
     If the total event load were of interest
           Ci =
                           Pxt"  +  Pqt"
                  1000(!l/m3)(l  m3/sec)(6 hr)(3600 sec/hr)
               	84 mg + 3x10~4 mq	
               1000(a./m3)(l rri3/sec)(6 hr)(3600 sec/hr)
                              =  1.4x10  3 mg/8.
                                6-82

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    6.6.1.3.  EXAMPLE  CALCULATIONS FOR SETTING  NATIONAL CRITERIA— In this
section,  the  surface  runoff and receiving water  body algorithms are used In
reverse  (as  described  in  Section  6.3.2.4.)  to  determine  the permissible
contaminant  concentration  in  runoff and  sludge  given  an  effects  threshold
value  for  the surface water body.  For this example calculation, the benzene
RWC  value  of  0.00067  mg/9.  is applied.   The  Tier 2  methodology will  be
utilized throughout this section.
    6.6.1.3.1.   Case 1, Constant Loading —
    From Section 6.3.3.3.
    M  = 1000V (RWC) = LQ                                              (6-37)
     I                   t*
       = (1000 St/m3) (1 mVsec) (31,560,000 sec/year) (l.lx!0~3 mg/S,)
       = 3.5xl07 mg/year = 35 kg/year
    Knowing the  loading rate,  M  (from Section 6.3.3.1), the  concentration  in
the solids may be solved by:
                                  ,   Le  (1000)
                            C =
                                      (6-32)
                                    Xe(SMA)Sd
      where C  is  the solids  concentration,  X   is  the average  annual  sedi-
      ment  loss,  SMA  is  the  SMA  area,  and  S.  is  the  sediment  delivery
      ratio for the  buffer strip.
      Letting  Le  =  35 kg/year
              Xe  =  248 metric tons/ha-year (from the forward  calculation)
              SMA  =  100 ha
              Sd  =  0.28  (assuming 100-m  buffer  zone)
                    (from the  forward  calculation)
      yields a solids concentration  value of  5.0  (mg/kg).
      Using equation 6-33,  we  may  solve for the  maximum contaminant mass
      Mm (kg/ha)
                                      C d  B
Mm =
                                      10
                                                                     (6-33)
                                    6-83

-------
where C  is  the  solids concentration,  d is the  incorporation  depth  and
B is the bulk density.
Letting C = 5.0 mg/kg
        d = 10 cm
        B = 0.8 g/cm3
Yields H  = 4.0 kg/ha
        m
For degradable contaminants such as benzene,
                                                                (6-8)
 where:
Mm =
At =
k0 =
              F-i - k0
              4.0 kg/ha
              30 years
              0
              kn + k1R + k1D
              454 yr-1 (see Section 6.6.1.1. example
                  calculations steps IIIA and B)
 Therefore:
 or
                                   m
                             4.0 kg/ha
                 (1/454/yr) [l-e-(454/yr)(30 yr)]
                           = 1.8xl03 kg/ha-year
                               6-84

-------
    Since the  permissible  dry sludge concentration  is  equal  to the ratio of
    the limiting loading rate to the sludge application rate:
                           Ni =
                                                  (6-1)
                                 1.8xl09  mg/ha-year
                                73,000 kg/ha-year
                               = 2.5x10*  mg/kg benzene in sludge
6.6.1.3.2. Case 2 - Event Loading —
    As noted in  Section  6.3.4.2.,  receiving water concentrations are propor-
    tional to  sludge  levels for  acute event analyses if only  the  dissolved
    contaminants are  considered.  Therefore,  once  a  forward  case  has  been
    run for a site,  the  limiting criteria can be determined  from
N
 i Uniting
                                                »,  test
    where:
           Ni  limiting  =  the  desired  maximum  concentration  criteria
                         level  (mg/kg)
           RWC
          Ni test
  = reference water concentration for acute exposure
    (mg/9.)  — in this example the Drinking Water
    Health  Advisory for 10-day exposure of 0.235 mg/9.
    is used (U.S.  EPA,  1988)
  = results of forward  calculation for sludge
    with contaminant concentration Ni  test -
    1.4x10-3 mg/9.
  = sludge  contaminant  concentration  employed in
    the forward  analysis  of the site  - 30  mg/kg
                      = [(0.235 mg/il)/( 1.4x10-3 mg/8.)] 30 mg/kg
                      = S.OxlO3 mg/kg
   Hence,  the  scenario  evaluated  here  will  not  exceed  acute  exposure
   criteria  if  sludge benzene  levels  are maintained  below  5000 mg/kg.  In
   this case, the  long-term analysis generates the controlling sludge level
   of 25,000 mg/kg benzene compared with 5000 mg/kg for the event analysis.
                                    6-85

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-------
    7.  CRITERIA CALCULATION METHODS FOR THE GROUNOWATER EXPOSURE PATHWAY

    A  risk  assessment  methodology  for groundwater  exposure  resulting from
the  landfilling of  municipal  sludge  has  been developed  as  a  part  of this
document  series (U.S.  EPA,  1986).   The methods  used  to assess this pathway
for  land  application  and  distribution  and  marketing  (D&M)   practices  are
identical  to those  for landfilling except  for the  "source  term," that is,
the calculations  used to determine the amount and  concentration of leachate
initially  generated  at  the  soil  surface.  Therefore,  this  chapter will des-
cribe  the  source  term in detail, but  will  refer to the Landfill Methodology
Document  to avoid  lengthy  repetition of the other  portions.   The  example
calculations given  in Section  7.5.  show the entire computation procedure for
land  application/D&M.  The  Landfill  Methodology Document explains many  of
the terms and calculations used in Section 7.5.
7.1.   OVERVIEW OF THE METHOD
    It  has  been stated  (see Section  3.4.)  that the  generation of leachate
with  subsequent migration to  and  contamination of groundwater  is  a  pathway
of  potential  concern.   The approach  for this pathway will  be based on  a
methodology that can  be applied  directly to input data on a given site.  The
acceptability of a  proposed  land application or  D&M  practice  can be weighed
on the basis of predicted  risks  to human health through drinking  water.   A
tiered  approach is  offered  beginning  with  simple  procedures  and going  to
greater  levels  of  sophistication  only  where   necessary.   The  latter  tiers
allow  introduction of site-specific  values  to  reflect the  conditions at  the
chosen site.
                                     7-1

-------
    To  implement  such  a  methodology,  it  is   necessary  to  simulate  the
movement of  contaminants from  the  application area  through  the  unsaturated
soil column  to  the  aquifer and then through the saturated zone laterally out
from the  site.   The  down-gradient  property boundary may be  selected  as the
point  of  compliance,  since  drinking  water wells  could be constructed  from
that point  on and  could then  be  affected by contamination  with  subsequent
public health implications.   Quantitative  data on health effects,  e.g.,  risk
reference  doses  (RfD)  for  noncarcinogens  or  potency  values   (q *)   for
carcinogens, are used  to determine  a reference water concentration (RWC) for
each   chemical,   which  identifies  the   allowable   level   for  groundwater
contamination.   The   premise   is   that  a  potable  water  supply  must  be
maintained  at  healthful  levels  for potential  future uses even if  there are
no current uses immediately off site.
    The tiered  approach  and  the sequencing of  the overall  methodology are
illustrated  in  Figure  7-1.   The procedure begins with  the  analysis of total
contaminant  levels  in  sludge and conversion of bulk sludge application rates
to contaminant  mass  addition rates  on an annual  basis.   These mass rates are
divided by  the  sum  of annual recharge and drainage to generate average annu-
al leachate  concentrations  for each contaminant.  Predicted leachate concen-
trations  for contaminants  are  compared  with  health  criteria (RWC).   Only
those  contaminants  that  exceed  the health criteria  will be  considered for
future evaluation.   If no  contaminants are predicted to be present in leach-
ate  above  health criteria,  Tier 1  is complete and no  further analyses  need
be conducted.
    A  second  or third tier analysis is  required  for  each contaminant in the
leachate at  a  level  that exceeds the estimated health criterion (RWC) (fails
Tier  1).    The   procedure   is  the  same  for   both  Tier  2  and Tier  3;  the
                                     7-2

-------
  Recharge, Sludge
      Moisture
   Characteristics
   Health Criteria
     Distribution
     Coefficient
     Degradation
  Unsaturated Model
      Inorganic
     Contaminant
     Geochemical
    Considerations
   Saturated Model
     Model Input
     Parameters
                                For Each Contaminant i
                                    Total Sludge
                                      Analysis
   Calculate Annual
   Average Leachaie
     Concentration
   Determine Time of
  Travel and Losses in
   Unsaturated Zone
    Determine Initial
    Concentration in
       Aquifer
Determine Concentration
 in Property Boundary
               *(xi)» concentration of contaminant i
                                                                                                    End
                                                                                                 TierS
Experimentally Determine
Leachate and Attenuation
       Values
                                                                                              Yet
                                                                                                         Tier 2
                                                                                                 End—
                                            FIGURE 7-1

Logic  Flow  for Groundwater  Pathway  Evaluation  of  Sludges  Applied  to  Land
                                                  7-3

-------
difference between them  is  the source of the  input  parameters.   In general,
Tier  2  uses  existing  (those found  in  the  literature) or  generic  values as
well as  some measured  values, whereas Tier 3 uses all measured values (i.e.,
Tier  3  may be more  specific).   Tier 2 uses existing  values  for contaminant
degradation rates, distribution  coefficients,  bulk densities, porosities and
some  unsaturated  zone  parameters  (slope  of the  matric potential  vs.  mois-
ture  content curve).   Actual measurements of these  parameters would  be used
in  Tier 3.   Site-specific   values  should be  used  for all  other parameters
(depth  to  groundwater,  distance to  boundary,  soil  type,  hydraulic  conduc-
tivities,  groundwater  pH and  Eh,  etc.)  in  both Tiers  2  and 3.   Thus, the
three tiers can be described as follows:

    Tier 1  — Simple —  Compare predicted  leachate  concentrations  with
              criteria (RWC).
    Tier 2 — More Complex  — Compare model  results with criteria using
              existing or generic values as inputs.
    Tier 3 — Most Complex  — Compare model  results with criteria using
              experimentally derived values as inputs.

    The  Tier  2/Tier  3  process  also  is  initiated  by  calculating  predicted
leachate concentration for  each contaminant.   For degradable contaminants, a
calculation is then  made to determine how long it will take each contaminant
to  traverse  the  unsaturated  zone,  and the  amount  of  degradation  that will
take  place during that time.  For nondegradable contaminants, the concentra-
tion  is  unchanged through the unsaturated zone.  For inorganic contaminants,
a speciation model  (MINTEQ) is used  to estimate  the dissolved concentration
of  contaminants  in  the saturated zone after accounting for geochemical reac-
tions.
                                     7-4

-------
     At this  point,  after  accounting  for degradation  and geochemical  reac-
 tions, a comparison is made  between predicted leachate concentration  enter-
 ing  the aquifer  and the  RWC.   The Tier  2/Tier  3 analysis is continued  for
 those  contaminants exceeding  the  RWC.
     An analytical contaminant  transport  model,   CHAIN,  is  used  to  predict
 contaminant  concentration  at  the base of  the  unsaturated  zone.  The  differ-
 ence between the model and the unsaturated zone  calculations discussed above
 is  that the model  allows  for  dispersion as  well as  degradation.   For  the
 metals (nondegradable),  the output concentrations from the model are  adjust-
 ed   based  on  geochemical   reactions  (MINTEQ).   At  this  point,  the  model-
 predicted  or MINTEQ-adjusted contaminant  concentrations  at  the  base  of  the
 unsaturated  zone (point  of  entry  into  the aquifer)  are  compared  with  the
 RWC.   The  Tier  2/Tier  3 analysis  is  continued  for those  that do not pass,
 i.e.,  concentration >RWC.
     The final  step of  the Tier 2/Tier 3  analysis is to use a saturated zone
 transport model,  AT123D,  to predict contaminant concentration at the proper-
 ty boundary.  These  final  contaminant concentrations at the  property  bound-
 ary  are added  to the background concentrations in the  groundwater and again
 compared with  the RWC.  If they  all pass, the application would  be accept-
 ed.   If any  one contaminant  exceeds  the  RWC,  the  application would  be
 denied.  If  any  contaminants exceed the  RWC  and   the analysis  has  been com-
 pleted through  Tier  2, then  a  Tier 3  analysis  can  be performed  using all
 site-specific  data to  see  if all contaminant concentrations drop  below the
 RWC.    The  procedures  and  details  of  each  module  in the methodology  are
described in  the following sections.
                                     7-5

-------
7.2.   ASSUMPTIONS
    To apply  a methodology  such  as  that presented here, it  is  necessary to
make  simplifying  assumptions.   The assumptions, stated  or  implied,  required
to  implement  the  groundwater  pathway analysis  methodology are  outlined in
Table 7-1.
7.3.   CALCULATIONS
7.3.1.   Source  Term.    Each contaminant  transport  pathway  begins with  a
source term  and ends  with  a receptor  or point of exposure.   In evaluating
sludge disposal  alternatives,  the sludge  itself is the  source  term through
which  the  various  contaminants  are  introduced   to  the  environment.   To
quantify  risks  attendant  to application  of  sludges  to  land, it is  neces-
sary  to  determine  the  mass  of contaminant released as  a function of time or
as a  concentration in the annual volume of leachate.
    Because  of economics  and  logistics,  sludge  application usually  takes
place as a limited  number  of discrete  applications  summing  to  the desired
annual application  rate  as expressed  in dry  metric  tons per  hectare  (Mg
DW/ha).    This  and  the  periodicity  of  rainfall/snowmelt  recharge  events
suggest  the introduction  of a finite number of  contaminated  leachate  pulses
into  the  groundwater  system.   In  point  of  fact,  however,  travel in  the
unsaturated zone  and dispersion  in  the aquifer act to  integrate the  pulses
into  a   single  leachate  plume.   This  phenomenon,  coupled with  uncertainty
surrounding the timing  of recharge events each year,  dictates the considera-
tion  of  leachate  volumes and  contaminant masses in terms  of  average  annual
fluxes,   that is, the volume/mass introduced each year.
    On the surface,  this  annualizing affects the assessed  hazard of a given
scenario  by  reducing peak  concentration estimates and  extending the  period
of  exposure.    From  a   practical  standpoint, the  effects of  the subsequent
                                     7-6

-------
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-------
averaging  are minimal  since exposure  is being  evaluated  in terms  of dose
over extended  periods  of time.   For this  type  of exposure, the implications
of ingesting  2 mg in a day are essentially the same as those for ingesting 1
mg for 2 days.   As  a  result,  the methodology  requires an  estimate  of total
mass of  contaminant (flux)  introduced  to the system each  year  that it will
then treat as  a  continuous  pulse  throughout  the year.   Since application
will be  repeated  each  year,  the  continuous  annual pulses  will,  in effect,
combine  to form  a  steady-state  flux  of contaminant  into  the  unsaturated
zone.  The  mass flux is  converted  to  a concentration by dividing  it by the
sum  of recharge  and  sludge drainage.   Therefore,  source-term characteriza-
tion must  determine  both the mass of available contaminant each year and the
annual  volumetric flow of leachate.
    The  annual mass flux  of contaminant  will  depend on  the total  mass  of
contaminant in the sludge,  the  interactions between  contaminant  and sludge
solids, and the  volumetric  flow of leachate.  Concentrations in leachate may
be dictated by partitioning phenomena  or by solubility constraints.   If par-
titioning  is   the  controlling  mechanism,  contaminant concentrations  in  the
soil/sludge zone  at  the surface  will increase  over  the  years  until  they
reach  a  level that  will  sustain  leachate  concentrations  that  constitute  a
mass flux equal  to the  contaminant mass  added  in sludge  each year,  that is,
losses  equal inputs.
    If  solubility  controls  the  leachate concentration, one  of two situations
may arise:
    1.  If solubility  is  high  enough,  leachate concentrations  will  be
        sufficient to transport  in  a year all of  the  contaminant  added
        in a year; or
    2.  Lower solubilities  will  result  in  continued buildup of a  con-
        taminant inventory  in  the  soil,  which will sustain a continuous
        pulse at the solubility-constrained  contamination.
                                     7-10

-------
In  the first case,  the result  is  the same  as it would  be if partitioning
phenomena  controlled  leachate levels,  that is, the  average annual  flux is
equal  to  the mass of  contaminant  added in sludge each  year.   In  the second
case,  the  mass flux  (and,  therefore,  concentration) would  by  definition be
less than the mass of contaminant added in the sludge each year.
    It  is  currently not  possible  to predict  solubility levels for contami-
nants  in  the complex  sludge  and soil environment.  Such  data  would  have to
be  determined  experimentally.   As  a consequence,  Tier  1  and 2 analyses are
based  on  the more  conservative  assumption that partitioning will  result in
contaminant mass  fluxes  to  groundwater equivalent to the mass of contaminant
applied.   In Tier 3,  the applicant  can spike  sludges  with increasing levels
of  contaminant  to determine  maximum solubility levels  in leachate  as  dis-
cussed at the end of this section.
    For Tiers  1  and 2, it  is  necessary first to quantify the  mass  flux for
each contaminant  and  then  to convert it to the equivalent concentration for
a  continuous  pulse.   The first  step is to analyze the  sludge  and  determine
the concentration (SC.) for  each  contaminant  i  in  terms of mg contaminant
per kg  of  dry  sludge solids.  For nondegrading  contaminants, this  value can
then  be
equation:
then  be  converted  to  the  desired  annual   flux  (F.)  according  to  this
where:
                                  = (SCJj)(As)
             = mass flux for i (mg/mz-yr)
             = concentration of i in sludge (mg/kg)
             = annual application rate for sludge (kg sludge/m2-yr) .
               (For sludge uses where application is made in multiples of
               years rather than annually, As is calculated as the ratio
               of actual application rate to the period of years between
               applications.  Note that As has different units than  the
               rate AR used in Chapter 4.)
                                     7-11

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    For  degradable  contaminants,  losses  are  equated  to  the total  of lea-
chate-transported contaminant and degradation.  Therefore,
                                               -k,
                           Fi = (V(SCi/k)[1-e
                                                                       (7-lb)
where:
      k = the degradation rate constant (yr-i)
In   this   equation,  (SC../k)[l-e  ]  would   represent   the  average  sludge
concentration   during   a  1-year  period.   Generally   the  form  would  be
            -kt
(SC^/kt)[l-e   ],   but   for   this   case,  t = 1.   To   convert   F.   to  the
    i                                                               i
leachate  concentration  X.,   it  is  necessary  to  calculate  the  volume  of
leachate generated each year.
    Leachate will  arise from three sources:  natural  recharge  (rainfall and
snowmelt, which  percolates   into the  ground),  irrigation  and  drainage water
from the applied  sludge.   Recharge (R)  is calculated  as total  precipitation
(P) less runoff (RO) and evapotranspiration (ET).
                               R  =  P -  RO - ET                         (7-2)
Recharge may  be reported for a given  area  or may be  calculated  from esti-
mates of  P,  RO  and ET.  Irrigation  (IR) data are taken  directly from site
operating conditions.
    Drainage  from the  sludge is  calculated as  the  difference  between the
initial  moisture content and the sludge arid  its  storage capacity for water.
Drainage volume is calculated according to the following equation:
                                         0.001 A*
                        Dv  = (L  -  S)  [•
where:                                (1  -  L)(l  -  S)J
      D     = drainage volume in m3 water/ma-yr
      L     ~ initial moisture content of sludge (kg/kg)
      S     » storage capacity of sludge (kg/kg)
      A     - annual sludge application rate in kg/m2-yr
      0.001 = inverse of the density of water (mVkg)
                                     7-12
                                                                       (7-3)

-------
The  equivalent  concentration  of leachate  moving in  a continuous  pulse  is
defined in the following equation:
                                    0.001  Fi
where:
                                   R + IR + Dv
                                                                       (7-4)
      Fi = mass flux derived from Equation 7-la or 7-lb (mg/m2-yr)
      R  = recharge in m3/m2-yr               -           ,
      IR = irrigation in m3/m2-yr
      DV = drainage volume in m3/m2-yr
    The 0.001 converts concentrations from mg/m3 to mg/S..
    In  Tier  1  analysis,  the  predicted  leachate  concentration,  X.,  is
compared with  the  health criterion (reference water  concentration,  RWC) for
each contaminant.   If  the criterion is not exceeded,  the contaminant can be
dropped  from  further evaluation  in the groundwater  pathway.   If the crite-
rion is  exceeded,  the  analysis proceeds to Tier 2.  In Tier 2, the predicted
leachate concentration,  X.,  is  used  as the  input for  the  unsaturated zone
portion of the methodology.
    As  indicated  earlier, the methodology is  conservative  in  defining X..
If  an   applicant  believes that such  conservatism is  excessive,  a Tier  3
approach can  be taken.   Tier  3 allows  for  the determination  of X. experi-
mentally.  In this  case,  the  sludge is subjected  to  the  Toxicity Character-
istic Leachate  Procedure (TCLP) as described in Appendix A of  the  Landfill
Methodology Document (U.S. EPA,  1986).   [If  sludge is to be  incorporated in
the  soil,  a  combined  sample  of site  soil  and  sludge  in  the  proper  ratio
should  be subjected to the TCLP.]   The resulting leachate concentration from
the TCLP is compared with the  predicted leachate  value.  If  the TCLP leach-
ate concentration  exceeds the  predicted  leachate  concentration,  then  solu-
bility  constraints  will  not control the annual flux  of  contaminant,  and the
                                     7-13

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predicted leachate  concentration Is the  proper input value for  the  method-
ology.   If   the  TCLP  concentration  is  less   than  the  predicted  leachate
concentration, solubility  limitations  may control  the mass flux  and  further
analysis is  warranted.
    If  solubility  is  the  controlling  factor,  the  concentration of a  con-
taminant  in  the leachate  should not  change  in response  to  changes in  the
concentration of contaminant  in the total sludge.   When  leachate concentra-
tion does increase with  sludge contaminant levels,  a partitioning phenomenon
is more  likely.  To  determine which is the case,  it is  necessary to perform
the  TCLP on sludges  with two different  contaminant  concentrations:    one
equivalent to that of  the  average sludge and  one spiked  to a  higher level  (a
multiple  of  4)  analagous  to  the  buildup  of  contaminant  in  the  soil  when
annual  losses do  not equal  inputs.   If the  TCLP  results  do  not  show  a
significant   difference between the  two samples, solubility would  appear  to
be the  controlling mechanism  and the TCLP concentration  should be applied  as
input  to the  methodology.   If  the spiked  sludge  yields a  commensurately
higher  concentration,  partitioning  would appear to  control leachate  levels,
and  the predicted  leachate   concentration  from Equation  7-4  is the proper
starting point for the methodology.
    The  TCLP uses  a 20:1  ratio of  extracting  solution to  sludge.   This  may
not represent actual  ratios  of water to sludge.  The water level  was select-
ed for  ease  of  operation of  the test  and to  assure good contact with agita-
tion.   At a  land application site, sludge moisture content  will  fluctuate
with  infiltration  levels.   After  precipitation  events,  sludge  will adsorb
moisture  up   to  its  storage  capacity,  that   is,  the  equilibrium  moisture
content  after  drainage.   As  more  water  is introduced,  it will  force  water
through  the  sludge and increase the volume of leachate.   During dry periods,
                                     7-14

-------
the sludge will drain  to  Its storage capacity.   At that point,  further water
loss will result  from  capillary movement of water into surrounding soils and
evaporation.   On  the  average,  the  sludge would  contact water  ratios  at or
below the level represented  by the storage capacity.   Values  for water con-
tent of  drained  sludges are given in  Table  7-2.  From these data  it would
appear that  sludges  will  maintain  water-to-sol ids ratios  in the  range  of  6
to  66  depending  on their  origin.  Most  sludges retain water at  a  ratio in
the range  of 12:1 to  24:1.    This  is  similar to the  20:1  ratio employed in
the TCLP  and,  hence,   leachate concentration values taken  directly  from the
TCLP can be considered representative without further calculation.
    In addition to toxic  contaminants,  nitrate is a limiting constituent for
sludge disposal on  land.   Nitrate  is  highly  soluble and will not remain at
high levels  in sludge.  However,  organic nitrogen measured as total  Kjeldahl
nitrogen (TKN) degrades to  nitrate over time.   Therefore,  leachate  from the
TCLP will be analyzed  for  TKN in addition to prescribed toxic contaminants.
    These  formulations  assume  all  contaminants  in  a  sludge are ultimately
mobile  and  that  contaminant  concentrations  remain  relatively   constant  in
leachate until  the  total  mass is virtually  depleted.   The  first assumption
is  conservative in that  it  does not subtract the nonmobile fractions of con-
taminant.  If the applicant  can demonstrate that the total available mass of
contaminant  (Ma)  is statistically significantly less than the total  mass, M,
then  [(Ma/M)(SC.)]  may be   inserted  for  SC.  in  Equation  7-Ta  or  7-1 b for
Tier 2.  Thus, if  Ma  
-------
                                 TABLE  7-2
         Water Content of Sludges from Various Treatment Processes*
Sludge Type
Primary sludge
Digested primary sludge
Trickling filter
Chemical precipitation
Primary and activated sludge
Digested primary and activated sludge
Activated sludge
Septic tank-digested activated sludge
Imhoff tank-digested activated sludge
Water
Content (%)
95
94
92
92
96
94
98.5
90
85
Water-to-
Solids Ratio
19
16
12
12
24
16
66
9
6
*Source: U.S. EPA, 1978
                                     7-16

-------
 7.3.2.    Unsaturated  Zone Transport.   As  leachate  is  generated at the  land
 application  site,  it moves  vertically  downward  through the unsaturated  zone
 to   the   uppermost  aquifer.   To  measure  the   risk   to  water  quality by
 contaminants  in  the  leachate,  it  is  necessary to determine  the  time of
 travel  required to  reach the aquifer  and  subsequent effects on contaminant
 concentrations.   Refer to Section  4.3.2.  of  the Landfill Methodology Docu-
 ment  (U.S. EPA, 1989) for unsaturated zone transport methods.
 7.3.3.    Saturated  Zone  Transport.   Methods  for  calculating  saturated  zone
 transport are given  in  Section  4.3.3. of  the Landfill Methodology Document
 (U.S.  EPA,  1989).  Methods  for  land application do not  differ except  that
 contaminant  input  is  assumed to be continuous rather than a finite pulse, as
 in  the  landfill  methodology.  Therefore,  pulse duration is  not calculated
 for  land application.  The  output  of  the  saturated  zone transport calcula-
 tion  is  contaminant  concentration  as a function  of time at the down-gradient
 compliance point.
 7.3.4.    Setting  National Criteria.   The methodology  presented herein  has
 been  devised  to evaluate  the land application of municipal sludge on a site-
 specific  basis.  As  mentioned previously,  it can  also  be employed  to estab-
 lish  sludge  content criteria  to  be  administered on a  national  or regional
 scale.   For  this  purpose,  the  mode  of  operation  is,   theoretically,  the
 reverse  of that presented in earlier portions of this section.  That is,  the
analysis  begins  with the selected  effects threshold  level  and  works  back-
ward  to  determine how high  a  concentration  in the sludge it  would  take  for
environmental levels  to exceed that  threshold.    Hence,  the  analysis  begins
with  the point  of compliance,  moves back  through the aquifer  to  the  point
below the disposal facility,  and  then moves up  through  the  unsaturated zone
to the surface and the sludge itself.
                                     7-17

-------
    Functionally, the  reverse  operation is not  so  straightforward.   Some of
the models and  constructs  employed in the methodology  cannot  be operated in
the reverse  mode,  that  is,  the analytical  model  is not closed  form so one
cannot set the  final  concentration and solve for the  initial  concentration.
Therefore,  it  is  necessary to  deal  with  each  element of the methodology
Individually to meet the needs of the criteria-setting mode of  operation.
    Transport in  the saturated  zone  is  the  first element that  must  be  con-
sidered when  operating  the criteria-setting  mode.   Since the analytical  con-
structs employed  are not  of  a  closed  form,  this  is one of the elements of
the methodology that  cannot simply be operated in the reverse.  The analyti-
cal models  recommended,  including  AT123D, provide a  linear  response  between
input  loading and  output   concentration  at  a  given downgradient  distance.
Therefore, a  given set  of site characteristics will produce  a  unique value
of  C/q ,  where C  is  the  final   concentration and  q   is  the mass  flux
       o                                                o
input.  The mass  flux  can  be converted from  the unsaturated concentration X
as
                            q  = X  (R+ IR + D )                       (7-5)
where:
       R
recharge,  IR  =  irrigation,  and  D  =  drainage  volume,  all  in
mVm -yr.   Thus,   for  any   given   set  of  site   parameters,   the  input
concentration  can  be   calculated   as   a  direct  multiple  of  the  output
concentration.  Having  determined C/q   for  a  site,  one can equate  C to the
                                      o
RWC for  the  chemical  of interest and obtain the necessary reference starting
concentration, RC, where the leachate enters the aquifer, as
                                             ] _                    (7"6)
            RC - RWC      (
            RC - RWC  (c ) (R
                                            IR  + Dv
    The  above  use  of  the model  results will  yield  a reference  starting
aquifer  concentration,  RC, that will  just produce the  effects  threshold  at
                                     7-18

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 the point of  interest.   This  analysis  accounts for the effects  of dispersion
 and degradation in the aquifer.   Attenuation  effects are also  accounted  for
 but are  not  of concern because they influence only the timing, and  not  the
 magnitude of  the effects.
     As  described earlier, for  inorganic  contaminants it is  assumed that geo-
 chemical  effects on  contaminant concentration  occur as the leachate  enters
 the aquifer.    Therefore,  the  MINTEQ results  from the saturated  zone  trans-
 port method  can be used  to  further  scale the  reference starting aquifer con-
 centration, RC.
     In  the case  of  the  nondegradable  inorganics (such  as  arsenic,  copper,
 lead,   mercury  and  nickel),   the   acceptable  concentration  leaving   the
 unsaturated  zone is  determined  by  locating  RC on  the vertical axis of  the
 graph of  MINTEQ results (saturated  zone  concentration)  and  reading the cor-
 responding  unsaturated  zone  concentration  from the  horizontal  axis (see
 Figure  4-3  of  the   Landfill  Methodology  Document;  U.S.  EPA,   1986).    The
 resulting  value should  be used to replace RC.   If the  saturated zone reading
 does  not  fall  on the  curve,  then  solubility constraints will  prevent   the
 health  effects  threshold  from  being  exceeded,  and no  sludge  criteria   are
 required.
    The above analysis  yields  acceptable levels  of  contaminants in leachate
just  entering the aquifer.  These acceptable  concentrations can  be related
to  acceptable levels  in  leachate  leaving the  site  through use  of the CHAIN
unsaturated transport code.  The  CHAIN  code generates a concentration in  the
form  C/Co.    Therefore,  the  reference  starting leachate  concentration,  RX,
can be found from a CHAIN run for a given site as
                               RX = RC (Co/C)                           (7-7)
The value RX  is then  the maximum allowable predicted or measured concentra-
tion of  contaminant in the leachate.
                                     7-19

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7.4.   INPUT PARAMETER REQUIREMENTS
    A  number  of  inputs  are  required  to  apply the  groundwater  pathway
calculation methods.  Most  of these are as discussed  in  Section 4.4. of the
Landfill  Methodology  Document (U.S.  EPA,  1986).  A  few inputs  that define
the  source  term and  are  unique  to  the  land  application methodology  are
described as follows.
7.4.1.   Fate and Transport: Pathway Data.
    7.4.1.1.   TOTAL  RECHARGE (R + IR) — Obtained  from local  weather  sta-
tion  data  or agricultural  extension  offices  as the sum  of natural  recharge
and irrigation less evapotranspiration.
    7.4.1.2.   ANNUAL  SLUDGE  APPLICATION   RATE (A ) — Taken  from  assumed
or actual operating procedures.
7.5.   EXAMPLE CALCULATIONS
    The  methodology  presented   in  the  previous  sections   can   best   be
illustrated with an example calculation.   In  the following, calculations  are
first made  for an  individual site as would be  the case with a site-specific
application.  Then an example is  given for development of criteria  for maxi-
mum  allowable  contaminant  levels  in  sludge.   To  best  illustrate  this
methodology, the example  considers  an organic contaminant.   Input parameters
for the example calculations are provided in Table  7-3.
7.5.1.   Site-Specific Application.   A  step-by-step  discussion  of   a  site-
specific application follows.  The  application  uses  hexachlorobenzene as  the
constituent of interest.
    The  RWC  for  the  carcinogen  hexachlorobenzene  is derived  using  Equation
4-33 from the  Landfill Methodology Document (U.S.  EPA, 1986),  also  given as
Equation 6-46 of  this  report:
                              iRL  x bw
                       RWC =
                                   x  RE
- TBI
(7-8)
                                     7-20

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                                 TABLE  7-3
           Input  Parameters  for  Example  Calculations - Groundwater
Fate and Transport:   Pathway Data
  Source Term
     1.   Water Content of  Sludge
     2.   Storage Capacity  of Sludge
     3.   Net Recharge
     4.   Annual  Sludge Application Rate

  Unsaturated  Zone
     5.   Depth  to Groundwater
     6.   Distance to Property Boundary
     7.   Material
     8.   Thickness
     9.   Saturated Soil Hydraulic Conductivity
    10.   Slope of Matric Potential and
         Moisture Content Plot
    11.   Saturated Soil Moisture Content
    12.   Bulk Density
 Saturated Zone
    13.   Groundwater
    14.   Groundwater
    15.   Hydraulic Conductivity
    16.   Effective Porosity
    17.  Hydraulic Gradient
 WS = 0.95 kg/kg
 S = 0.90 kg/kg
 R + IR = 0.5  m/year
 As = 50 Mg DW/ha-year
    = 5 kg/mz-year

 hy = 1  m
 ds = 100 m
 Sandy Loam
 m = 1  m
 ksat  = 10* m/year
 b  = 4.0
 fs  =  0.39 mVma
 Bu  =  1400 kg/m3

 pH =  6
 Eh =  150 mvolts
 K = l.SxlO5 m/yr
ee = 0.10
 (3H/3X) = 0.003
                                    7-21

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                              TABLE  7-3  (cent.)
Fate and Transport:  Pathway Data
    18.  Bulk Density
    19.  Dispersion Coefficient
    20.  Site Geometry
           Site width
           Site length
Saturated Zone (cont.)
             Bs = 2390 kg/m3
             Dx = 4.5xl04 mVyear
             Dy = 4.5x103 ma/year
             D  = 4.5xl03
             SW = 103 m
             SL = ID3 m
Fate and Transport:  Chemical-Specific Data
  Source Term
    21.  Hexachlorobenzene concentration in sludge        SC = 2.2 mg/kg
  Unsaturated Zone
    22.  Hexachlorobenzene soil distribution coefficient  Kj = 0.4 8,/kg
    23.  Hexachlorobenzene degradation rate constant      k = 0.16 year-i
  Saturated Zone
    24.  Hexachlorobenzene soil distribution coefficient  Kj = 0.0 8,/kg
    25.  Hexachlorobenzene degradation rate constant      k = 0.0 year-*

Chemical-Specific  Data — Health or Environmental Effects
    26.  Hexachlorobenzene reference water concentration  RWC = 0.000021 mg/8.
                                      7-22

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The  risk  level  (RL), the  body  weight (bw)  and  the  daily  ingestion rate
(Iw)  are  set  for  this  example  at  10~6,   70   kg  and  2  a,  respectively.
The  relative  effectiveness   factor  (RE)  is  set  at  1.   The human  cancer
potency  for  hexachlorobenzene  has been determined by the  U.S.  EPA to be 1.7
(mg/kg/dayr1  (Federal   Register,  1985).   Current  total  background  intake
(TBI) of hexachlorobenzene  from  all  other sources  (other than  sludge land
application  practices)  has   not  been  determined,  but  for  illustrative
purposes a TBI  of 0 is used  here to derive an example  RWC.  Determination of
an RWC  for a specific site  should be  based on  a current local  assessment of
TBI.
               RWC =
                                       kg
                           1.7 (mg/kg/day)-i
                                  ~5
                                                    (2
7.5.1.1.
                       = 2.11  x 10   mg/9,
                       = 0.021  vig/2,    •  ,-
               TIER  1  —
    A.  Calculate  the  flux,  or  annual  mass  of  contaminant,  added  per m2
       of  site  (F..).   For  degradable  contaminants, the  flux  is  calculated
       as  follows  from  Equation  7-lb:
                          Fi  =
                                                                       (7-9)
   where:
                                                        0'16
            AS  = annual application rate of sludge (kg DW/m2-year)
            SC. = sludge concentration of contaminant i (pg/g DW)
            k   = degradation rate constant (year"1)
            e   = base of natural logarithms, 2.7183 (unitless)
            Fi  = (5 kg/m2-year)(2.2 Hg/g * 0.16 year'^d-e
                = 10.1 (mg/m2-year)
   B. Calculate the annual drainage volume from Equation 7-3:
                                           0.001 As
                          °V '   [(1
                                    7-23

-------
where:
     Dv
     L
     S
     AS
     0.001
drainage volume (m^ water/ma-yr)
initial moisture content of sludge (kg/kg)
storage capacity of sludge (kg/kg)
annual sludge application rate (kg/mz-yr)
inverse of the density of water (m^/kg)
                Dv = 0.95-0.90
                  Q.001(m3/kg) x 5(kg/m2-year)

                        (1-0.95)(1-0.90)
                   = 0.05(m3/m2-year)

C. Calculate  the  predicted   leachate  concentration  (X.)  from  Equation
   7-4:
                          Xi  =
where:
                   0.001 F-j	

                  R + IR + DV
      F-5 - mass flux derived from Equation 7-la or b (mg/m2-yr)
      R  = recharge (ms/ma-yr)
      IR = irrigation
                (7-11)
Hexachlorobenzene
                 Xi =
                         0.001(m3/a) x 10.1(mg/m2-year)
                       0.5(ma/ma-year) -f 0.05(m3/m2~year)


                    = 0.018 (mg/H)

D. Compare X. to the reference water concentration, RWC:
               Hexachlorobenzene
                           Xj
                          6.018
  RWC
0.000021
E. If  X.  >RWC,  as is  the case  for  hexachlorobenzene, it  is  necessary

   to proceed to Tier 2.

7.5.1.2.   TIER 2 —

7.5.1.2.1.   Unsaturated Zone Calculations —

A. Calculate  the  steady-state  moisture  content  of the  soil   for  each

   layer in the unsaturated zone as

                                R + Dy  tl/(2b + 3)]                 (?_12)

                                "
                                 7-24

-------
   where:
         f    = steady-state moisture content (ma/ma)

         fs   = saturated moisture content for the unsaturated zone soil
                (ma/ma)

         R    = net recharge (m3/m2-year)

         Dv   = drainage volume (m3/m2-year)


         Ksat = saturated hydraulic conductivity of the unsaturated zone
                soil  (m/year)

         b    = negative one times  the  slope  of  the log-log  plot  of
                matric potential  and  saturated moisture content (dimen-
                sionless)
   Layer 1
            f = 0.39 ma/ma
0.5 m/vear +0.05 m/vear  l/[(2) (4) + 3]

       10« m/year
             = 0.16 mVm3

  NOTE:  If multiple layers are present in the unsaturated zone, solve
         for each layer.


  B. Calculate  the  steady-state   travel  time  of  the  water  across  each

     unsaturated zone soil layer as


                                    	(7-13)
where:
     = (hy) (f) (R+DV)
        Tu - steady-state travel time across an unsaturated zone soil
             layer (years)


        hy = depth to groundwater or thickness of the unsaturated zone
             beneath the site (m)

  Layer 1


             Tul  = (1.0 m) (0.16 m3/ma)/(0.5 m/year + 0.05 m/year)

               =0.29 year

  NOTE:  If multiple layers  are  present  in  the unsaturated zone   solve
         for each layer.


  C.  Calculate  the  total  travel time of the water across the  unsaturated

     zone
                           TT = Tul + Tu2
                                  7-25

-------
where:
 Tj = total travel time across all layers of the unsaturated zone
       (years)
                              T  = 0.29 year
 0. Calculate  the average  velocity of  the  water across  the unsaturated
    zone as
                        Vave=(hyi
                                     (7-15)
 where:
       vave = average velocity across the unsaturated zone  (m/year)
       hy#  = thickness of each unsaturated  zone layer where # = 1, 2,  ...
                          V    = 1.0 m/0.29  year
                           ave
                               =3.45 m/year
  E.  Calculate the average moisture  content of  the  unsaturated zone as
                               f    = R/V                           (7-16)
                                ave      ave
  where:
       "fave  =  average moisture  content  of  the  unsaturated  zone  (ma/ma)

                             0.5 m/vear +0.05 m/vear
                      ave  ~        3.45 m/year
                             =0.16  ma/m3
  F.  Obtain  the   unsaturated   zone   partition  coefficient,   Kd,   and
     unsaturated zone degradation  rate  for each contaminant  from  Appendix
     C of  the  Landfill  Methodology  Document (U.S. EPA, 1986).  Select Kd
     values based  on  soil   type.   If there  is more  than one type  of  soil
     (more than one layer)  in  the unsaturated  zone,  use a  weighted average
     for Kd.   Calculate  the weighted  average  by  summing  the  products  of
     the thickness of each  layer and the  Kd for each soil  type  (layer) and
     dividing by the total  thickness of  all layers.
            Contaminant
         Hexachlorobenzene
Kd (9,/kg)     Degradation Rate (year-i)
   0.4                  0.16
                                   7-26

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     G. Calculate the  retardation factor for the  contaminant  in the unsatur-
        ated zone as
        where:
                               Rd -1 -f (Bu Kd/fs)                      (7-17)
              Rd =  retardation  factor (dimensionless)
              Bu =  bulk density of unsaturated  zone material  (kg/m3)
              Kd =  partition coefficient (ft,/kg)
              fs =  saturated moisture  content for the unsaturated zone
                   material (m3/m3)

       NOTE:  If multiple  layers are present  in  the  unsaturated  zone, cal-
              culate  a  weighted  average  retardation  factor  using weighted
              average values for  bulk density  and saturated moisture content
              (weight according to layer thickness).
    Hexachlorobenzene
                             (0.4  ft/kg)  (0.001 m»/l)  (1400  kg/m3)
                                            0.39
                  Rd =  1 +
                    = 2.44
H.  For degradable  contaminants,  calculate the  concentration  of  contaminant
    leaving the unsaturated zone accounting for degradation as
                     Cus = X. exp [(-1)  (k) (TT)  (RF)]                 (7-18)
       where:
             Cus = contaminant concentration exiting the unsaturated zone
                    (mg/9.)
    Hexachlorobenzene
          Cus = 0.018 mg/a. exp [(-1) (0.16 year'1) (0.29 year) (2.44)]
              = 0.016 mg/9.
    7.5.1.2.2.   MINTEQ  Adjustment  for  Geochemical  Reactions — For  metal-
lic contaminants, determine  the  amount of concentration  reduction  that will
occur due  to geochemical  reactions  in the  saturated  flow  system  (aquifer)
                                     7-27

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using  the  MINTEQ  graphs  given  in  Appendix  C  of the  Landfill  Methodology
Document (U.S. EPA, 1986).
    7.5.1.2.3.   Tier  2  Intermediate Comparison  to Reference Water  Concen-
trations -- Compare the  Tier 2  concentrations  at  the  base of  the  unsatur-
ated zone, as  calculated  without allowing for dispersion, with the reference
water  concentration.   The final Tier 2  concentrations  for hexachlorobenzene
are given above.
    Hexachlorobenzene
       Concentration after Allowing for Decay = 0.016 mg/8.
       RWC = 0.000021 mg/a.
    For  hexachlorobenzene,  the Tier  2  concentration  at the  base  of  the
unsaturated  zone, without  accounting  for  dispersion,  is greater  than  the
RWC.   Therefore,  the  Tier  2 analysis  needs to  be continued  using the CHAIN
and AT123D models.
    7.5.1.2.4.    CHAIN  Model — Since  the  Tier  2 result  presented  previ-
ously  is  not less than the  RWC,  it is necessary  to run  the CHAIN analytical
transport  model  to  predict the contaminantion  concentration  at the base of
the  unsaturated  zone.   The input  data  required  by the CHAIN model are the
leachate  concentration (X.),  the  total  recharge  (R +  IR)  as  the flux rate,
a  continuous pulse as the  input  pulse  time,  the  retardation  factor (RF) and
the  degradation rate (k).   The  dispersion  coefficient  used in  CHAIN  is cal-
culated  as  one-tenth  the depth to groundwater (unsaturated  zone thickness,
hy)  times  the average  groundwater  velocity  in the  unsaturated  zone (Vgve)-
     For organic contaminants, compare the  maximum model-predicted concentra-
tion with the  RWC values.   If the model-predicted concentration is  less than
the  RWC,  no  further  Tier  2 analysis  is  required.   If not,  the  saturated
transport model ATI230 should be run.
                                      7-28

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      For inorganic contaminants,  take the maximum model-predicted  concentra-
  tions  and  enter the appropriate  curves  in Appendix  C  of  the  Landfill Method-
  ology  Document  (U.S.  EPA, 1989)  to predict the  resulting concentration after
  geochemical  reaction.   If  the  resulting  concentration is  less  than  the
  threshold,  no  further Tier  2  analysis  is  required.   If not, the  resulting
  concentrations should be entered  into the saturated transport model  AT123D.
     The CHAIN model results for this example problem are:
    Degradable Organics
     Hexachlorobenzene
                          Unsaturated Model
                           Results (mg/a.1
0.016
              Reference Water Concentration
              	(mq/g.)	
                                                        0.000021
 The  unsaturated  model  result  for hexachlorobenzene  is  above the  reference
 concentration value;  therefore,  the saturated  transport model  AT123D  needs
 to be run.
     7.5.1.2.5.    AT123D   Model  — Since   the   CHAIN  model   results   are  not
 below the reference concentration  for  hexachlorobenzene, it is  necessary  to
 run the  AT123D   saturated  zone  transport  model to  predict the  contaminant
 concentration  at  the site boundary.  The peak contaminant concentrations and
 the pulse time as predicted by the CHAIN model  are used  as  inputs to AT123D.
 The other input  data  required by  AT123D are the  degradation  rate (k), the
 retardation  factor  (calculated  for the  saturated  zone  using  the saturated
 distribution  coefficient,  bulk  density  and porosity), the groundwater veloc-
 ity  (calculated as the saturated hydraulic conductivity  times  the hydraulic
 gradient  divided   by the  effective porosity),  the  longitudinal  dispersion
 coefficient  (calculated  as one-tenth the distance to  the  landfill  boundary
times the groundwater  velocity),  and the transverse  and  vertical dispersion
coefficients  (calculated  as  one-tenth  the  longitudinal  dispersion  coeffi-
cient) .
                                     7-29

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    The AT123D model  results for the example problem are:
    Degradable Organics
      Hexachlorobenzene
Saturated Model
Results (mg/il)
     0.013
  RWC
 (mg/il)
0.000021
    The  saturated  model  results  for  hexachlorobenzene  are  well  above  the
RWC.   Therefore,  this application would  be unacceptable,  and  the applicant
may desire  to proceed  to Tier 3 by experimentally  determining  the contami-
nant concentration  in the leachate.   If the predicted  output concentrations
were very close  to  the RWC, the permit writer may require a characterization
of  input parameter  uncertainty and additional  runs  to  determine sensitivity
to that  uncertainty.
    If  background  concentrations  of  hexachlorobenzene  are  present  in  the
groundwater,  these  concentrations  would  be  added  to  the  saturated  model
results  and  this  total  concentration  would  be compared  to  the reference
water  concentration.
7.5.2.   National   Criteria   Site-Specific   Application.   To  set  national
criteria,   the  methodology   is  applied  in   reverse  order  with  the  same
site-  and chemical-specific  inputs.   In this  case,  the  starting point is the
RWC  and the  endpoint is the  reference starting acceptable leachate concen-
tration  (RX)  or the acceptable mass of contaminant  added per unit area each
year  (RF).    Example  calculations  for  the  trial  scenario are provided below
for hexachlorobenzene  using  the input parameters  provided in Table  7-3.
    Hexachlorobenzene
    For hexachlorobenzene,  the RWC is  0.000021.   From the previous section,
when  AT123D  was  applied, a saturated  zone  input concentration of X = 0.016
                                      7-30

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 mg/9.  yielded  an output  concentration  of C  = 0.013  mg/9..   The  input  con-
 centration  (RC)  required  to reach the RWC is,  therefore,
                        RC  = (0.000021)(0.016/0.013)
                            = 0.000026 mg/9.
    Based  on  the above  calculation,  the RWC  will  be  reached  at the  site
 boundary  if  the input concentration to  the  aquifer  is  0.000026 mg/9..   In
 like  fashion, Equation  7-7  is  applied to determine  what the  input to  the
 unsaturated  zone would have  to  be  to obtain  an output concentration  of  RC =
 0.000026  mg/9..   In  this  case,  RX  = RC  (Co/C).  From the previous  section,
 an  input concentration  of  Co  = 0.018  mg/9.  hexachlorobenzene  produced  an
 output  concentration  of  C  = 0.016  mg/9.  hexachlorobenzene  when  the CHAIN
 code  was  applied to  the  site.   Substituting  for  RC,  C  and  Co in Equation
 7-7, provides  the following:
                        RX =  (0.000026)(0.018/0.016)
                           =  0.000029 mg/9.
 Therefore,  the predicted  leachate  concentration of hexachlorobenzene cannot
 equal  or  exceed   0.000029 mg/9, without groundwater at  the property boundary
exceeding the RWC.
    The  limiting predicted  leachate  concentration (RX)  is converted  to an
equivalent annual mass flux  of contaminant (RF) as follows:
                          RF  =  RX  (R  +  IR  +  D  )(1000)
                             =  (0.000029)(0.55)(1000)
                             =  0.016  (mg/m2-yr)
(7-19)
                                     7-31

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The  annual   application  rate  of  pollutant  in  sludge  (Rp,  in  mg/m -year)
required to  produce that annual  mass of  hexachlorobenzene after accounting
for degradation is calculated as
                                 0.16
                         = 0.017 mg/m2-year

                                               n IR
(7-20)
[Note that  the units  of  R  differ  from those  of  RP  (kg/ha-year)  used  in
                           P                          a
Chapter 4.]   The  above  mass  is  divided by  the  annual  sludge  application
rate,  5  kg/m2-year,   to  yield  an  RSC  of  hexachlorobenzene  in sludge  of
0.0034 mg/kg.
                              RSC = R  * A
                                     P    s
                                  = (0.017)  * 5
                                  = 0.0034 mg/kg
                                     7-32

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    8.  CRITERIA CALCULATION METHODS FOR THE VAPORIZATION EXPOSURE PATHWAY
 8.1.   OVERVIEW OF THE METHOD
     Vapor loss following  land  application  of sludge has been identified as a
 possible pathway  of  concern for  migration of  toxic  chemicals  (see  Section
 3.5.)-   A tiered  risk  assessment  approach  using three  levels  of analysis  is
 outlined in  this  chapter.  Regardless  of  the  level  of assessment  (Tiers  1
 through 3),  the  basic  approach  requires  some  degree  of  simulation of the
 movement of vapors up  from  the sludge into the atmosphere.   Tier 1  involves
 a  simple partial  pressure calculation  using  Henry's  Law to  predict  maximum
 potential  vapor levels above the  sludge.   This  is a very conservative  esti-
 mate of concentration, since it does  not  account for air/sludge  matrix par-
 titioning or  dispersion  in the  atmosphere.
     Tier 1  estimates  air concentrations of contaminants in  an atmosphere at
 equilibrium  with  the  liquid  sludge.  This  represents  the worst-case situa-
 tion  of  a worker in  the land  application   site  following  application  of
 liquid  sludge  and  under highly stable atmospheric conditions.  This scenario
 is  analogous  to that  for  the  tractor operator  exposed  to dust as evaluated
 in  Chapter  5.   Both involve short-term  and  relatively  infrequent high-level
 exposures  to  agricultural  workers.   Exposures  of agricultural  workers  are
 evaluated  by  means  of  OSHA  or NIOSH exposure  limits, rather  than  limits
 based on chronic exposures (RfD or q *).
    In addition to  providing  a  means to evaluate acute  exposures to workers,
 Tier 1 may  also be viewed  as   a  rough public health screening  procedure to
determine whether  it is  necessary  to proceed  to  Tiers 2  and  3, which examine
the potential  for  risk  from  long-term exposures at the  property boundary.
                                     8-1

-------
To use  Tier 1  as a screening tool,  the  result for a given compound  is  com-
pared with  the  reference  air concentration, RAC*, which  is based  on chronic
exposures.  The screening use of Tier 1 is illustrated in Figure 8-1.
    If  the  Tier 1  estimated air concentrations  are lower than the RAC,  no
further  evaluation  of the  contaminant is necessary.  If  the  predicted  con-
centration  exceeds  the  RAC,  the applicant may opt to proceed  to Tier 2 where
transport through  the soil  cover and atmospheric dispersion  are  taken  into
consideration.
    The  Tier 2  analysis  is conducted in  two steps.   In the  first  step,  a
simple  mass balance is  used to predict  the  average  vapor flux from the land
application  site.   An atmospheric  dispersion model   is  then  used  to predict
downwind  atmospheric  concentrations at  the location of receptors.  Because
chronic  exposure is the primary concern, the model selected for use was that
derived  to  predict long-term atmospheric concentrations following closure of
hazardous  waste  landfills  (Environmental   Science  and  Engineering,  1985).
Degradation and deposition  are  not accounted for because travel  times will
be  relatively  short.   Once  again,  if  predicted concentrations  exceed the
RAC, the analysis can go to  Tier 3.
     Tier 3   utilizes  a  modeling approach  but allows the  applicant to  input
measured vapor flux rates for the source term.   This accounts  for the parti-
tioning between the atmosphere and  the  sludge matrix.   Thus,  the three  tiers
can  be  summarized as  follows:
            — Simple  —  Compare calculated  equilibrium concentrations
               with  reference  air concentration  (RAC).
 *The methods  for  deriving RAC  for each sludge  contaminant can be found  in
  Section 8.4.3.
                                      8-2

-------
                                 For Each Contaminant!
                                   Calculate Equilibrium
                                   Vapor Concentration
          Health Criteria
             (RAC)	•
                                    Calculate Boundary
                                    Line Concentration
                                  Experimentally Derm
                                      Vapor Flux
                                   Calculate Boundary
                                   Line Concentration
No
                                                                  No
                                                                  No
                                                                 No
              •End
                                                                                 End
                                                                                 End
                                                                                End
             C..  = Atmospheric  Concentration of  Contaminant  i


                                    FIGURE 8-1

Logic Flow for Vapor  Loss  Pathway  Evaluation of  Land-Applied  Sludges
                                        8-3

-------
    Tier 2 — More Complex  —  Compare  model  results to RAC  using  esti-
              mates for the source term.
    Tier 3 — Most Complex — Compare model  results using  experimentally
              derived values for the source  term.

    The procedures and  details  of each tier in the methodology are described
in the following sections.
8.2.   ASSUMPTIONS
    To  apply  a methodology  such  as  that presented here,  it  is  necessary to
make  simplifying  assumptions.   The assumptions, stated or  implied,  required
to  implement  the vapor  pathway  analysis   are outlined  in  Table  8-1  and
discussed in the following sections.
8.2.1.   Vapor  Pressure.   The  Tier  1  and Tier 2  methodologies require  the
vapor  pressure (vapor  concentration)  of  the  contaminant  to  be  specified.
Because  vapor  pressures  are not  routinely  measured,  the methodologies  use
Henry's  Law to specify  vapor  concentration as a  function of liquid concen-
tration.  Henry's  Law  is  most  appropriate for  low aqueous concentrations and
low  solids  content  sludges.    As  the  concentration and   solids  contents
increase, Henry's  Law  will  tend to overpredict vapor pressure as a result of
activity  effects  and partitioning between solid and liquid phases.  As such,
the use of  Henry's Law represents a conservative approach.
8.2.2.    Loss  Rate.   The Tier  2 methodology  assumes  that  sludge  is applied
periodically  and  that  all  contaminants  will  volatilize  during the applica-
tion  period.   This assumption  represents the  worst  case  and leads to calcu-
lation  of maximum possible  exposure  levels.   The use of  this conservative
approach  is consistent with  other exposure methodologies.
    The  Tier  3 methodology assumes  that the  loss  rate  of  contaminants is
controlled  by diffusion of contaminants through the  soil.   The loss rate is
then  independent  of  windspeed.   This  assumption  is  necessary  to measure
                                     8-4

-------
       D)
       O

      "o
      •o
       o
       18
r—    O.

CO     i-
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—I     18
CO    >

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      J=
      •M


       O
      u-

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       c
       o
      CX

      3
      to
      to










c
o
18
U

18
ce.






10
o
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CL
 0 O
C U • C i-
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C U 18 CD
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«t u CL S- cn
3 C 18 18 C
O •!- > 18
t— • O J=
Is appropriate for
low solids contents
and solids contents
tend to overpredict
Variations will als
ture and pressure c
to >
18 -Q
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0) O
C •<-
•i- +J
M- 18
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•0 •(->
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ja u
cz
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18 U
U
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C •!— .
O 3 3
•i— O" 18
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i- *" 10
(= O >
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O v 3=
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CX t4— Ci>
(8 to
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 O) •
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•i" »f— C
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18 3 -i-
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IO -i-
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.•8 Q.
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•i- 0 J=
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CD
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_J
1



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•i- > C
E 18 0
ra -C r—
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C L. 10
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«4- -f- to
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10 i_
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•p- 4J ce
Appropriate assumpt
are incorporated in
trated into soil.
average conditions.

r—
O
10
•r" JZ
O>
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•(-> 0
(8 S-
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to
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o o
IO
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18 «-
•4Z M~
•M *r-
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18 r—
CO O
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^











to


IO
18

»
CD
3 -C
IO U
O 18
O. O
X l-
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CL
•M 18
U
•o
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Will grossly overpr
consistent with Tie


i
•r—


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x:
CX
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•p

3 •
to
to
18
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 r—
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3 ci> cu

C -M O)
18 18 U
10 -M C7J
C (=
0 T3 0
O C r—
18 18
S c -o
3 O C
IO »f- •!—
to 4-> 3
18 0 C
0> 3
co s- o
•r- -0
T3 -O
tO T3 Q) •
C ^™* CU
CM 18 18 S
U 3
to "O O i —
i- 0> r— CX
0) O)
•r- CX to U—
t— tO •(- O
















_
W
Q
•*«i

10
to
O
CL
3
•r- •
X 10
Jj2 t
««^
Assumption predicts
downwind concentrat


IO

C5

18
r^
_Q
18
to

i
IO IO
10 C
18 O
CO +J
T3 T3
C C
18 O
U
CM
U
(O •!-
o> o>
'^"0.











                                                                    8-5

-------
loss rates  in the  laboratory  that are  representative  of those  expected  in
the  field.   This  assumption  is  not  appropriate  for  describing  direct
volatilization  from  solid  or  liquid  surfaces  and,  therefore,  will  not
accurately  describe  volatile losses  from  liquid  sludge  applied  directly  to
the  soil  surface.   The assumption  is  appropriate for  describing  volatile
losses when  contaminants must  first diffuse to the atmosphere and is, there-
fore,  appropriate  for describing  losses when contaminants  are incorporated
into the  soil  or after they have infiltrated into the soil.   Because contam-
inants  will  remain  on the  soil  surface  for  only a  short period  of time
before  infiltrating,  the  assumption   is  judged  to  reasonably  represent
long-term average conditions.
8.2.3.   Atmospheric  Transport.   "The  Tier  1  methodology assumes  no atmos-
pheric  dilution  of  contaminants.   The result of  this  assumption will  be  to
grossly  overpredict  atmospheric  contaminant concentrations.   This  approach
is  clearly  conservative and  is consistent with the  Tier 1 approach.
    To  simplify  use of the  atmospheric  transport  model  in Tiers 2 and 3,  it
is  assumed  that the  wind  speed  and direction are  constant  and  that the
receptor  of concern  is  always located  downwind along  the center!ine of the
plume.   The effect  of these assumptions is  to  predict the  maximum possible
downwind  atmospheric  concentrations  and,   therefore,  the  maximum possible
exposure.   This  conservative approach is consistent  with the other exposure
methodologies.
     In applying  the atmospheric model,  it  is assumed that stable atmospheric
conditions  will  always  be encountered.   The  effect  of this assumption will
be to maximize  the  resulting  downwind concentrations,  thereby  predicting the
maximum possible exposure levels.  Again,  this  conservative  approach  is con-
sistent with other exposure  methodologies.
                                      8-6

-------
 8.3.    CALCULATIONS

 8.3.1.    Tier 1.   The  first  tier  embodies  a  simple  comparison  of  source

 term  vapor  concentrations  to the  RAC  value.   Source  term vapor  concentra-

 tions  are predicted  on the  basis  of sludge  contaminant concentrations  and

 Henry's  Law.   This does  not account for  any  dispersion  in  the  atmosphere

 and,  thereby, overpredicts concentrations.   Henry's  Law describes  vapor com-

 positions  over  dilute  solutions.   The   relation  is given  in the  following

 equation:

                                  P1  =H.C1.                             (8-1)

 where:                                 ,
       PT =  partial pressure of  i above the solution  (atm)
       H-j =  the  Henry's  Law constant for  i (atm-ma/mol)
      Cl-j =  the  concentration of  i  in the solution  (mole/ms)


 Assuming  the vapor phases  act as  ideal  gases, the  partial  pressure can be

 translated to an atmospheric concentration using Oalton's Law:
                                  P.
v P
yi t
(8-2)
where:
      y-j = mole fraction of i in the gas phase (dimensionless)
      Pt-•= total pressure in the system (atm)


For  the  land application  environment  of  interest  here, P  can  be  set at 1

atm.   Then  combining  Equations 8-1  and  8-2,  atmospheric  concentration  y.

can be calculated as follows:


                                Vi = HiC1i                           <8-3>
With the molecular  weight  of the contaminant and air and the molar volume of

air,  this   can  be  converted to  an atmospheric  concentration  in terms  of

weight fraction or mass per volume.

    An alternate  approach  is  to  use  a  dimensionless  modified  Henry's  Law

constant H'  defined as follows:
                                H'  = Cv./Cl.
                                (8-4)
                                     8-7

-------
where:
      Cv-j s concentration of i in air (mass/volume)
      C1-] » concentration of i in water (mass/volume)
This  eliminates  the need  for conversions to obtain  the  atmospheric concen-
tration  of  the contaminant  in the  desired units.  H can  be  converted  to H1
by  using  the  Universal  Gas  Law  to  calculate atmospheric  concentration
(moles/volume) from partial pressure.
    The  use  of  the  Henry's  Law  approach  assumes   ideal  gas behavior  and
dilute solutions.   Both  assumptions are appropriate  for  the  levels  of  vola-
tile  contaminants  expected  in municipal sludge,  since handling and treatment
before  land  application are  likely to have allowed high  concentrations to
diminish through the  vaporization  process.  In empirical work with municipal
sludge,  English  et al.  (1980)  found Henry's Law to  be  useful in predicting
atmospheric  concentrations  of ammonia.   Values for  the  Henry's  Law constant
can be obtained from the literature or calculated  from physical properties.
    Henry's  Law Constants  and modified  Henry's   Law Constants  for contami-
nants  of interest are  provided  in Appendix C of the  Landfill  Methodology
Document (U.S. EPA, 1986).
    The  Tier 1 methodology  utilizing Henry's  Law constant  is  analogous to
predicting  the vapor concentration above  a  liquid surface (surface impound-
ment).   This  approach  is clearly conservative  for analyzing  land application
of  sludge.    The  method  approximates the  vapor   concentrations  that may be
seen  immediately  after surface spreading  of liquid  sludge, and overpredicts
vapor concentrations  associated  with surface application of  dewatered sludge
and  sludge  injection  or  incorporation.   To  evaluate  potential  effects of
short-term  concentrations  on workers in the  field,  the  estimated vapor  con-
centrations  are  compared with  OSHA or NIOSH concentration limits for work-
ers.   To use as  a screening  tool to  identify   chemicals that  could  cause
                                     8-8

-------
chronic effects beyond the  boundary site,  the estimated vapor concentrations
are compared  with the appropriate  RAC.   If the vapor  concentrations  do not
exceed the  RAC,  no  further analysis is  required.   If  the  vapor concentra-
tions do exceed the  reference doses, the applicant can decide if the greater
accuracy of Tiers  2  or 3 is  likely  to  be  advantageous and,  therefore, worth
the added effort.
8.3.2.   Tier 2.   The first  tier  methodology treats  the applied  sludge  as
though it  were  a  solution  in a  surface impoundment.   The  vapor concentra-
tions of contaminant  are  a  result of direct  volatilization  from the surface
and  subsequent  diffusion  into the  air  column.   In  actuality,  a  number  of
modes of contaminant release may occur with land  application.
    In the case of surface  application of  liquid sludge,  the liquid will  be
on  the  surface  and   available  for  direct  volatilization immediately after
application.   In time, however,  the liquid contaminants will infiltrate into
the  soil   column.   Volatilization  rates  will  then  be  reduced because  of
interactions  between  contaminants  and  the  soil  and  the  need to  diffuse
through the soil  to reach the atmosphere.
    In the  case  of  surface application of dewatered  sludge, volatilization
rates will be limited by the relatively high  concentration  of  solids and  by
interactions  between  the   contaminants  and  sludge  solids.    Drying  of  the
sludge can  lead  to formation  of  a  surface crust,  which  will  further reduce
volatilization rates.
    Volatilization rates  for injected or  incorporated  sludges  will  be con-
trolled by  diffusion through  the  soil  and possibly  by interactions between
organic vapors and the soil.
    As noted  above,  volatilization  from sludge  applied  to  the  land  may  be
controlled  by a   variety   of  mechanisms,   some  of  which  are  complex  and
                                     8-9

-------
difficult  to predict.   For  the  purposes  of a  Tier  2  methodology,  it is
desirable  to  have  a simple model that  reasonably represents worst-case con-
ditions.   In  the  case of land application, it is assumed that the worst case
with  respect  to  chronic  exposure would be  repeated  periodic applications of
sludge to  the land.  Such application would  result  in the highest long-term
average  exposure   levels.   For a  given  application,   the  highest long-term
exposure  levels  would occur  if  all the  volatile components present entered
the  atmosphere  during the  period  between applications.   The  Tier 2 method-
ology,  therefore,  predicts the  average volatile  contaminant  flux,  assuming
all contaminants volatilize during the application period.
    The  first step in applying  the Tier 2 methodology  is  to calculate the
average  annual  contaminant application rate.  If the  contaminant concentra-
tion  is  expressed  on  a  total dry weight  basis,  the contaminant application
rate is given by
                           RP  = (ARJ(SC) x 10~3                      (8-5)
                             a      3
where:
      RPa  = the annual contaminant application rate (kg/ha-yr)
      ARa  = the annual dry weight sludge application rate (Mg/ha-yr)
      SC   = the dry weight concentration of contaminant in sludge (mg/kg)
      10-3 = conversion factor (kg-kg/Mg-mg)
If  the  contaminant concentration  is  only  given  in terms of  a  liquid  phase
concentration (results of  leaching test),  the liquid phase concentration can
be converted to an equivalent dry weight concentration by
SC = (Ci/S) [KQC (foc)(S) +
                                                  •yl
                                                 ]
                                                                       (8-6)
where:
 ,
S
KOC
f
yl
            the contaminant concentration in the liquid (mg/fc)
            the solids content of the sludge (kg/kg)
            the organic carbon distribution coefficient for the contaminant
            (it/kg)
            the organic carbon content of the sludge solids (kg/kg)
            the density of the sludge liquid (kg/a)
                                     8-10

-------
The dry weight  concentration  calculated  using the above  expression  can  then
be used in Equation 8-5 to determine the  contaminant application rate.
    Assuming  that  all  contaminants are  lost to  volatilization during  the
application period, the yearly  contaminant application rate is  equal  to  the
contaminant  flux  rate  from  volatilization.   Converting the  flux   rate  to
units consistent with the  atmospheric dispersion  model
                                        RPa
                      Qv =
                            (0.001)(10,000)(31,536,000)
(8-7)
                         =  RP,, *  (3.2x10°)
                             O
where:
              Qv = contaminant flux rate due to volatilization (g/m2-sec)
           0.001 = conversion constant (kg/g)
          10,000 = conversion constant (m^/ha)
      31,536,000 = conversion constant (sec/yr)

    The  assumption  that  all  volatile  contaminants  are  lost  through  the
atmosphere during  the  period  of  time between applications is conservative in
that  it  does   not account  for migration  through  runoff or  infiltration.
Vaporization  is  a  first-order  phenomenon  with  vapor  concentrations  (and
hence flux  rates)  proportional  to  the concentration left  in  the  sludge.  If
vaporization  rates are  not  sufficient  to  reduce  the  mass  of  contaminant
added each  year,  the concentration of contaminant in the soil's  surface will
increase to a  point  where it can sustain a flux rate equal to the mass added
in each application.
    As  noted  above,  this approach ignores  losses that are due to infiltra-
tion and  runoff.   This  assumption  is not appropriate for contaminants of low
volatility  since  they remain  in  the  soil  long  enough for  precipitation
events  to occur and  affect  a significant fraction  of  the residuals.   There-
fore,  the vapor  loss pathway  is   only  applied  to the  more volatile  con-
taminants.
                                     8-11

-------
    The emission  rate  thus  derived is used to  calculate  atmospheric  concen-
trations at the boundary using a source-receptor ratio (SRR).
                              C(X)i = Q  x SRR                         (8-8)
where  C(X)i  is  the atmospheric  concentration  (g/m3),  X is  the  downstream
distance from  the source  to the receptor  (m),  and  SRR (sec/m) is  calculated
in Equation 8-9 (Environmental Science and Engineering, 1985):
                        SRR  = 2.032  [
                                     (r'  + Xy)  v  oz)
(8-9)
where:
      X0 = the characteristic length of the land application area, assumed
           to be a square (m)
      V  » vertical term which is a function of source height and oz
           (unitless)
      r1 - distance from the landfill center to the receptor or point of
           compliance (m)
      Xy « lateral virtual distance (m)
      v  = mean wind speed (m/sec)
       1 .6
(8-10)
                                     '[-1/2(2^)2] i  for tfZ/L<1p6
                                   2e       *z     I                    (8-n)
where:
      H = contaminant release height (m)
      L - mixing layer height (m)
Under  stable  conditions,  as  assumed  here,  the  mixing  layer  height  L  is
assumed  infinite.    Therefore,   Equation  8-11   is  used,   and  the  second
                                     8-12

-------
(summation)  term of  the equation  goes  to  zero.   Since the  contaminant  is
released from  the  ground surface, H = 0 and the  first  (exponential)  term of
Equation 8-11  becomes 1.   Therefore,  V = 1 for  the ordinary  conditions  of
this analysis.  The lateral virtual distance, Xy, is calculated as follows:
where:
                                                                       (8-12)
      A0' = sector width (radians) [for 22.5°, fi0' = 0.393]
The  standard  deviation  in  the  vertical  direction,  cz,  can be  taken  from
tables for  various  distances and stability classes or calculated as indicat-
ed in Table 8-2.
8.3.3.   Tier 3.  The  Tier 3 methodology involves a  similar  approach  to the
Tier  2  methodology  except  that  empirically derived flux  rates  are  input to
the  atmospheric dispersion  model.   To  use  the  Tier  3 methodology,  it is
necessary to  measure  flux  rates in  the laboratory.  In  all  sludge applica-
tion  scenarios,  it  is  assumed  that volatilization rates  will  be controlled
by  diffusion  through   the   soil  column  to  the  atmosphere  rather than  by
exchange at  the air-soil-surface interface.  Therefore,  the  laboratory  mea-
surements should involve pumping contaminant-free air into a  sealed contain-
er containing a  soil  column representative of the application site.   The air
leaving the container  should be  pumped through a  suitable trap for capturing
the contaminant.  The  trap  should then be analyzed periodically to  quantify
volatilization  rates.   A  toxicity  characteristic vapor  procedure is  to be
promulgated in  1986 for identifying hazardous wastes.   This  analytical  pro-
cedure would  be appropriate for  determining vapor  concentrations above  a
sludge.
8.3.4.   Setting  National    Criteria.    To   establish   sludge  concentration
criteria  for   volatile contaminants,   it  is  necessary  to   operate   the
methodology  provided   here  in   a  reverse  mode   similar  to  the  approach
                                     8-13

-------
            TABLE  8-2
Parameters Used To Calculate oz*
Pasquill
Stability Category
Very Unstable**







Unstable**


Slightly Unstable**
Neutral





Slightly Stable







x (km)
0.10 - 0.15
0.16 - 0.20
0.21 - 0.25
0.26 - 0.30
0.31 - 0.40
0.41 - 0.50
0.51 - 3.11
3.11
0.10 - 0.20
0.21 - 0.40
0.40
0.10
0.10 - 0.30
0.31 - 1.00
1.01 - 3.00
3.01 - 10.00
10.01 - 30.00
30.00
0.10 - 0.30
0.31 - 1.00
1.01 - 2.00
2.01 - 4.00
4.01 - 10.00
10.01 - 20.00
20.01 - 40.00
40.00
<*z = a
a
158.080
170.222
179.520
217.410
258.890
346.750
453.850
+
90.673
98.483
1 09 . 300
62.141
34.459
32.093
32.093
33.504
36.650
44.053
23.331
21.628
21.628
22.534
24.703
26.970
35.420
47.618
x (mb)b
b
1.04520
1 .09320
1.12620
1.26440
1 .40940
1.72830
2.11660
+
0.93198
0.98332
1.09710
0.91465
0.86974
0.81066
0.64403
0.60586
0.56589
0.51179
0.81956
0.75660
0.63077
0.57154
0.50527
0.46713
0.37615
0.29592
               8-14

-------
                              TABLE 8-2 (cont.)
Pasquill
Stability Category
Stable











0.10
0.21
0.71
1.01
2.01
3.01
7.01
15.01
30.01
60

x (km)
-•• 0.20
- 0.70
- 1.00
- 2.00
- 3.00
- 7.00
- 15.00
- 30.00
- 60.00
.00
oz = a
a
15.209
14.457
13.953
13.953
14.823
16.187
17.836
22.651
27.084
34.219
x (mb)b
b
0.81558
0.78407
• 0.68465
0.63227
0.54503
0.46490
0.41507
0.32681
0.27436
0.21716
 *Source:  Environmental Science and Engineering, 1985
**If the calculated value of az exceeds 5000 m, oz is set to 5000 m.
+ az is equal to 5000 m.
                                     8-15

-------
discussed in the  previous  section for the groundwater pathway.   That is,  the
reference  air   concentration  (RAC,   in   mg/m3)  is  taken  as   input   to
determine  the  maximum allowable  concentration in  the source sludge.   From
Equation  8-8,   the   compliance  point  concentration  (Cc,  in   mg/m3)   is
defined as follows:
                            Cc = (Qy)(SRR) x 10'
(8-13)
where:
       Qv - contaminant flux rate due to volatilization (g/m2-sec)
      SRR « source-receptor ratio (sec/m)

Since  SRR is  characteristic of  a  site and  not concentration dependent,  a
single  value  can be  calculated  for a  representative  site.   Rearranging  and
setting  C  = RAC,  the reference flux  (RQ)  required to meet  RAC  is  defined
          c
as follows:
                            RQ = RAC/(SRR x 103)                       (8-14)
From  Equation  8-7,  the limiting  flux  RQ is  also a  function  of  the limiting
annual  contaminant  application  rate  (RP ,  in  kg/ha-year)  according  to
                                           - a
Equation 8-15:
                            RQ = RP, * (3.2x10 )
                                   3
(8-15)
where:
      3.2x108 = conversion factor (kg-np-sec/g-ha-yr)
Therefore
                       RP  = RAC (3.2xl08)/(SRR X 103)                  (8-16)
                         d
Then,  from  Equation  8-5,  dividing  by  the annual  sludge  application  rate
 (AR  ,  in  Hg/ha-year)  converts  Equation  8-16  to  the reference  sludge  con-
   3
 centration  (RSC, in mg/kg DW) according to Equation 8-17:
                                   RAC (3.2x105)
                           RSC =  (SRR)(ARa x 10-3)
                                     8-16

-------
 where:
           RAC  =  reference air  concentration
       3.2xlOs  =  conversion  factor  (kg-ma-sec/mg-ha-yr)
           SRR  =  source-receptor  ratio  (sec/m)
           ARa  =  annual sludge  application  rate  (Mg  DW/ha-year)
          10-3  =  conversion  factor  (kg-kg/Mg-mg)
8.4.    INPUT  PARAMETER REQUIREMENTS

    A  number  of  input   parameters  are  required  to  calculate  exposure to

vapors  from the land application of sludge.   The following summarizes those

inputs and  provides  information on where data may be obtained.

8.4.1.   Fate and Transport:  Pathway Data.
    1.



    2.



    3.

    4.


    5.




    6.


    7.
Vertical Term  for Transport (V) — It is conservatively assumed
that  atmospheric  conditions  are  stable.    Therefore,  V  will
always be equal to 1 (see Equation 8-11).

Lateral Virtual Distance (Xy) —  Equal to X0 cot (A0V2), where
A0'  is the sector  width in radians.   It is  assumed that  the
sector width is 0.393 (22.5°), therefore Xy = 2.84XO.

Average Wind Speed (v) — Obtained from local weather station.

Length  or  Width  of Source  (X0)  — Obtained  from  site map  or
plans. It is assumed that land application areas are square.

Distance from  Center  of Source  to Receptor (r1)  --  Obtained
from site plans,   r1  is  taken as the  sum of one-half the width
of  the  total  land application  area  (X0/2)  plus the width  of
the buffer area from the landfill  area  to the property boundary.

Standard  Deviation  of  the   Vertical  Concentration  Distance
(oZ).  Atmospheric conditions are  assumed to be stable.

Annual Sludge  Application  Rate (ARa)  — Obtained  from  operat-
ing plan and normalized to  an annual  basis.
8.4.2.  Fate and Transport:   Chemical-Specific Data.
        Contaminant  Concentration  in  Sludge  (SC)   or  Sludge  Liquid
        (C-|)   —   Obtained   from  analysis   of  the   sludge   or  from
        application  of  the  TCLP  as  described  in  Appendix A  of  the
        Landfill  Methodology  Document (U.S.  EPA,  1986).  Equation  8-6
        can be used  to convert  between  TCLP measured  levels and  total
        sludge levels  for  organic  contaminants.   Note  that  C-j,  the
        concentration   in    sludge   liquid,    refers    only   to   the
        concentration  in  the   liquid  phase,   not  the   wet   weight
        concentration of  the  whole liquid  sludge.
                                     8-17

-------
    2.  Henry's Law  Constant (H1)  r-  Obtained from  Appendix  C of  the
        Landfill  Methodology  Document  (U.S.   EPA,   1989),  or  derived
        directly.
8.4.3.   Health  Effects  Data.    A  reference  air  concentration   (RAC,  in
mg/ma)  will  be  defined as  an  ambient  air  concentration used to  evaluate
the potential  for  adverse  effects on human health as a result of land appli-
cation  of  sludge.   That is,  for a given land application site, and given the
practice definitions  and assumptions stated previously  in this methodology,
the criterion  for a  given sludge  contaminant  is that  concentration in the
sludge  which cannot  be exceeded, and is calculated  to result in air concen-
trations below the RAC  at a compliance  point downwind  from  the  site.  For
the  RAC to  be exceeded  would  be  a basis  for concern  that  adverse health
effects may occur  in a human population in the site vicinity.
    RAC  is determined  based upon  contaminant  toxicity  and  air  inhalation
rate, from the following general equation:
                  Reference Air Concentration:   RAC =1/1
                                                       p  a
    (8-18)
where  I   is the  acceptable chronic pollutant  intake  rate  (in mg/day) based
on  the potential  for  health effects  and  I  is the air  inhalation rate (in
                                            3
mVday).   This  simplified  equation   assumes  that  the  inhaled  contaminant
is  absorbed into  the  body, by the  lungs,  at the same rate  in  humans as in
the  experimental  species  tested,  or  between  routes  of exposure  (oral  and
inhalation).   Also,  this  equation assumes that  there  are no other exposures
of  the  contaminant  from  other  sources,  natural  or manmade.
according  to  the  pollutant evaluated  and  to whether  the  pollutant  acts
according to a threshold or  nonthreshold mechanism of  toxicity.
    8.4.3.1.   THRESHOLD-ACTING   TOXICANTS  — Threshold  effects  are  those
for which  a safe  (subthreshold)  level of toxicant exposure can be estimated.
For these toxicants, RAC  is  derived as follows:
I   varies
 P
                                     8-18

-------
         Reference Air Concentration:   RAC =
                                                       *  la    (8-19)
where:
RfD
bw
TBI
Ia
RE
              reference dose (mg/kg/day)
              human body weight (kg)
              total background  intake rate of pollutant  from all  other
              sources of exposure (mg/day)
              air inhalation rate (mVday)
              relative effectiveness of inhalation exposure (unitless)
The definition and  derivation  of each of the parameters used to estimate RAC
for threshold-acting toxicants are further discussed below.
    8.4.3.1.1.   Reference  Dose   (RfD)  — When  toxicant   exposure   is  by
ingestion, the threshold  assumption  has  traditionally been used to establish
an  "acceptable  daily intake,"  or ADI.  The Food and  Agricultural  Organiza-
tion and  the  World  Health Organization have defined ADI as "the daily intake
of a chemical that,  during an entire  lifetime,  appears  to be without appre-
ciable risk on the  basis  of all the known facts at the time.  It is express-
ed  in  milligrams of the  chemical  per kilogram of body  weight  (mg/kg)"  (Lu,
1983).   Procedures  for  estimating the ADI from various types of toxicologic-
al data were  outlined  by  the U.S. EPA in 1980 (Federal Register, 1980).  More
recently  the  Agency  has   preferred  the   use  of a  new term, the  "reference
dose,"  or RfD,  to  avoid  the  connotation of  acceptability,  which is  often
controversial.
    RfD will  be  defined for the  purposes  of  this document as  that dose,  in
mg/kg/day, which is  estimated  to be without effects in sensitive individuals
during  a  lifetime  inhalation  exposure.   RfD  is estimated  from observations
in humans  whenever  possible.   When  human data are  lacking,  observations  in
animals are  used,   employing   uncertainty  factors as  specified by  existing
Agency  methodology.
                                     8-19

-------
    Values of RfD  for  noncarcinogenic  or systemic toxicity have been derived
by several  groups  within  the  Agency.   An  effort is currently  under  way to
verify  these  values and  to produce a master  list  of  RfDs  for use  by  the
various  Agency  programs.   Most   of   the  noncarcinogenic  chemicals  that
currently are  candidates  for  sludge  criteria  for  the  landfill  pathway  are
included on  the Agency's  RfD  list, and  thus  no new effort will  be  required
to establish  RfOs  for  deriving  sludge criteria.   For  any chemicals  not so
listed,  RfD  values  should  be  derived  according  to  established  Agency
procedures (U.S. EPA, 1987b).
    8.4.3.1.2.   Human  Body Weight (bw)  and  Air  Inhalation  Rate  (I ) —
                                                                        d
An  assumption  of  20 m3  inhalation/day by  a  70-kg  adult  has  been  widely
used  in Agency  risk  assessments and  will  be  used  in  this  methodology  for
adults.  Table  8-3 shows  values of I   for a  typical man, woman,  child  and
                                       3
infant  with a  typical  activity schedule, as  defined  by  the International
Commission  on  Radiological Protection  (ICRP, 1975).  Additional  values have
been  derived  for  an adult  with  the  same  activity schedule  (using  upper-
limit  rather  than average  assumptions  about  respiration  rates   for  each
activity) and  for an adult  with normal  respiration rates  but whose work is
moderately  active  and  who  practices  1 hour  of  heavy activity (strenuous
exercise) per day  (Fruhman,  1964;  Astrand  and  Rodahl, 1977).   Representative
body weights  have  been  assigned to each of  these individuals to calculate a
respiratory  volume-to-body  weight  ratio.    [Note:   These  ratios have  been
derived  for illustrative  purposes  only.]   The  resulting  ratio values range
from  0.33  to 0.47  m3/kg/day,  all   of  which  exceed  the  ratio  value  of 0.29
ma/kg/day  estimated  from  the  70-kg   adult  inhaling   20 m3/day,  as  used
currently by  the Agency.   Therefore,  the typically assumed values for adults
                                     8-20

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-------
may underestimate  actual  exposure.   In  cases where children  or  infants  are
known to be  at specific risk, it may be more appropriate to use values of bw
and I  for children or infants.
     3
    8.4.3.1.3.   Total  Background  Intake  Rate of  Pollutant  (TBI)  — It is
important  to recognize that  sources  of exposure other  than  the  sludge dis-
posal practice may exist,  and that the total exposure  should be maintained
below the  RfD.   Other sources of exposure include background levels (whether
natural  or anthropogenic)  in  drinking  water, food  or  air.   Other types of
exposure that  are  due to occupation or  habits such  as  smoking might also be
included depending  on data availability and  regulatory  policy.   These expo-
sures are summed to estimate TBI.
    Data for estimating  background exposure usually are derived from analyt-
ical  surveys of surface,  ground or  tap water,  from  FDA  market  basket sur-
veys  and  from  air-monitoring  surveys.   These  surveys  may  report  means,
medians, percentiles  or  ranges,  as  well as  detection limits.  Estimates of
TBI may be  based  on  values representing central tendency or on  upper-bound
exposure situations,  depending  on  regulatory policy.   Data  chosen to esti-
mate  TBI should be consistent with the value of bw.   Where background data
are reported in terms of a concentration in air or water, ingestion or inha-
lation  rates applicable  to adults or  children  can be  used  to estimate the
proper  daily  background  intake  value.   Where  data  are  reported  as total
daily dietary intake  for adults and similar values for  children are unavail-
able, conversion to an intake for children  may  be  required.  Such a  conver-
sion  could  be estimated on the  basis of relative total food  intake or rela-
tive total caloric  intake between adults and children.
    For example, in deriving the National Emission Standard for mercury, the
average dietary contribution  of 10 v«g  Hg/70  kg/day was subtracted from the
assumed  threshold   of 30  yg/70  kg/day   to  give  an  allowable  increment  from

                                     8-22

-------
 inhalation exposure  of  20  yg/70  kg/day.   An  assumed  inhalation volume  of
 20  m /day  for  a   70-kg man  was  then   applied  to  derive  an  allowable
 ambient  air  concentration   of   1   vg  Hg/m3   (U.S.   EPA,  1984d).   For  the
 purposes   of   this   methodology,   however,   TBI  should   be  an   estimate   of
 background exposure  from  all  sources,  including inhalation.
     As  stated  in the  beginning  of this subsection,  the  TBI  is the  summed
 estimate   of  all  possible  background exposures,  except exposures  resulting
 from a  sludge disposal practice.   To  be more  exact, the TBI  should be  a sum-
 med  total  of all  toxicologically  effective  intakes  from all nonsludge expo-
 sures.   To determine  the effective TBI, background  intake  values  (BI)  for
 each exposure  route must  be divided  by  that route's  particular  relative
 effectiveness  (RE)  factor.    Thus, the  TBI  can  be  mathematically derived
 after all  the background  exposures have been  determined, using the following
 equation:
TBI (mg/day)

where:
BI (food)    BI (water)   BI (air)
RE (food)  + RE (water) + RE (air)
BI (n)
RE (n)
(8-20)
        TBI = total  background  intake rate of  pollutant  from all other
              sources of exposure (mg/day)
        BI  = background  intake  of  pollutant  from a  given  exposure
              route, indicated by subscript (mg/day)
        RE  = relative  effectiveness,  with respect  to  inhalation expo-
              sure, of  the  exposure  route indicated by subscript (unit-
              less)

    8.4.3.1.4.   Fraction  of  Inhaled  Air  from  Contaminated Area — It  is
recognized that an  individual  exposed  to air emissions from  a  sludge appli-
cation site  may not necessarily  remain  in the application proximity  for  24
hours/day.  However, if  it  is  assumed  that residential  areas  may be contami-
nated,  it  is  likely  that   less  mobile '  individuals  will  include  those  at
                                     8-23

-------
greatest  risk.   Therefore,  it is  reasonable  to assume that 100% of  the  air
breathed by the  most  exposed  individuals will be from the area of the sludge
application site.
    8.4.3.1.5.   Relative Effectiveness  of  Exposure  (RE) --  RE  is  a  unit-
less factor that shows  the  relative toxicological effectiveness  of  an  expo-
sure by a  given  route when  compared with another route.  The value of RE may
reflect observed or estimated differences in absorption  between  the inhala-
tion  and  ingestion  routes,   which  can  then   significantly  influence  the
quality of a  chemical  that  reaches a particular target tissue, the length of
time it takes to get there,  and the  degree  and duration of the effect.  The
RE  factor may also reflect  differences in the occurrence of critical toxico-
logical effects  at the  portal  of entry.  For  example, carbon tetrachloride
and  chloroform were estimated  to  be 40 and  65# as  effective, respectively,
by  inhalation  as  by  ingestion based on  high-dose  absorption  differences
(U.S.  EPA,  1984e,f).    In  addition  to  route   differences,  RE  can  reflect
differences  in  bioavailability  due  to  the  exposure  matrix.   For example,
absorption of nickel  ingested in water has been estimated to  be 5 times that
of  nickel ingested in  the  diet  (U.S. EPA, 1985d).   The  presence of food in
the gastrointestinal  tract  may delay  absorption and reduce the availability
of  orally  administered  compounds,   as  demonstrated   for  halocarbons  (NRC,
1986).
     Physiologically based  pharmacokinetic  (PB-PK)  models  have  evolved  into
particularly   useful  tools   for predicting   disposition  differences  due to
exposure  route differences.  Their use  is predicated on the  premise that an
effective (target-tissue) dose achieved by one  route in  a  particular species
is  expected  to  be  equally  effective  when  achieved  by  another exposure route
or  in  some other  species.  For  example,  the proper  measure of target-tissue
                                      8-24

-------
 dose for a chemical with  pharmacologic  activity would be  the  tissue  concen-
 tration  divided by  some measure  of  the receptor  binding constant for  that
 chemical.   Such models  account for  fundamental  physiologic and  biochemical
 parameters  such as blood flows, ventilatory  parameters,  metabolic capacities
 and  renal  clearance,  tailored  by  the  physicochemical and biochemical prop-
 erties  of  the  agent  in question.  The  behavior of a substance administered
 by  a  different exposure  route can  be  determined  by adding equations  that
 describe  the  nature  of  the   new input function.   Similarly,  since known
 physiologic  parameters  are  used,   different  species  (e.g.,  humans vs.  test
 species) can  be modeled  by replacing the  appropriate constants.   It  should
 be  emphasized  that PB-PK  models  must be used  in  conjunction with toxicity
 and  mechanistic studies  in order to relate the  effective  dose   associated
 with  a certain  level  of risk  for the test  species  and  conditions to other
 scenarios.    A   detailed  approach  for the  application of  PB-PK  models  for
 derivation  of  the RE  factor is beyond  the scope  of  this  document,  but the
 reader  is   referred  to  the  comprehensive  discussion  in NRC  (1986).   Other
 useful discussions  on  considerations necessary  when  extrapolating route-to-
 route are found in Pepelko and  Withey (1985) and Clewell  and Andersen (1985).
    Since  exposure  for  the  vapor  pathway  is   by inhalation,  all   the RE
 factors are  applied  with  respect  to the  inhalation  route.   Therefore,  the
 value  of  RE   in   Equation  8-19  gives   the  relative  effectiveness  of  the
exposure route  and  matrix on  which the  RfD was  based  when  compared with
 inhalation  of contaminated air.  Similarly,  the RE factors  in  Equation 8-20
show the relative  effectiveness,  with  respect to  the inhalation  route,  of
each background exposure  route  and  matrix.
    An RE  factor  should  only  be   applied  where well documented/referenced
information is  available  on the  contaminant's  observed relative effectiveness
                                     8-25

-------
or  its  pharmacokinetics.   When such  information  is  not  available,  RE  is
equal to 1.
    8.4.3.2.   CARCINOGENS — For   carcinogenic    chemicals,    the   Agency
considers the  excess risk  of  cancer  to be linearly related  to  dose (except
at  high  dose levels)  (Federal  Register,  1986a).   The  threshold assumption,
therefore,  does  not hold,  as  risk diminishes with dose  but  does  not become
zero or background until dose becomes zero.
    The  decision  whether  to  treat  a  chemical  as   a  threshold- or  non-
threshold-acting  (carcinogenic) agent depends on  the weight  of  the evidence
that  it  may be carcinogenic to humans.  Methods  for classifying chemicals as
to  their weight  of evidence have  been  described  by U.S. EPA (Federal Regis-
ter,  1986a),  and  most  of  the chemicals  that currently are  candidates for
sludge  criteria  have recently  been classified in  Health  Assessment  Documents
or  other reports  prepared  by  the U.S. EPA's Office  of Health and Environ-
mental  Assessment (OHEA), or in connection with  the development of  RMCLs for
drinking water contaminants  (Federal  Register,   1985).   To derive  values of
RAC,  a  decision  must  be made  as  to  which classifications constitute suffi-
cient evidence for basing  a  quantitative  risk assessment on  a presumption of
carcinogenicity.   Chemicals  in classifications  A  and  B,  "human  carcinogen"
and "probable human carcinogen,"  respectively,  have  usually  been  assessed as
carcinogens, whereas those in  classifications D  and  E,  "not classifiable as
to human carcinogenicity because of  inadequate  human  and animal  data"  and
 "evidence of noncarcinogenicity for  humans,"  respectively, have usually been
assessed according  to  threshold  effects.   Chemicals  classified as  C,  "poss-
 ible human  carcinogen,"  have received varying treatment.  For  example,  Tin-
 dane, classified  by the  Carcinogen  Assessment Group  (CAG)  of the U.S.  EPA as
 "B2-C,"  or  between the  lower  range of  the  B category  and category  C,  has
 been assessed both  using the linear model for tumorigenic  effects (U.S. EPA,

                                      8-26

-------
 1980b) and  based  on threshold  effects (Federal Register, 1985).   Table  8-4
 gives an illustration of  these  U.S.  EPA classifications based on  the avail-
 able weight of evidence.
     The  use  of  the  weight-of-evidence  classification  without  noting  the
 explanatory material for  a specific  chemical  may  lead  to a flawed  conclu-
 sion,  since  some   of  the classifications  are  exposure  route   dependent.
 Certain compounds  (such as nickel) have been shown  to  be carcinogenic by  the
 inhalation  route but not  by ingestion.   The issue of whether or not to treat
 an   agent  as  carcinogenic by  ingestion  remains  controversial  for  several
 chemicals.
     If a  pollutant is to  be assessed  according  to nonthreshold, carcinogenic
 effects,  the reference concentration in  air, RAC, is derived as follows:
                                             [RL x bw
where:
          Reference Air Concentration:  RAC =
hi* x REj
           - TBI
v la
        (8-21)
            qi* = human cancer potency ([mg/kg/day]"1)
            RL  = risk level (unitless) (10-s, 10-s, etc.)
            bw  = human body weight (kg)
            RE  = relative effectiveness of inhalation exposure (unitless)
            Ia  = air inhalation rate (mVday)
            TBI = total background intake rate of pollutant (mg/day); from
                  all other sources of exposure

The  RAC,  in the case of  carcinogens,  is  thought to be  protective  since the
<*1*  is  typically  an  upper  limit  value  (the  true  potency  is  considered
unlikely  to  be greater and may  be less).  The definition  and  derivation of
each of the  parameters  used  to estimate RAC for carcinogens are further dis-
cussed below.
    8.4.3.2.1.   Human   Cancer  Potency   (q *) —For   most   carcinogenic
chemicals,  the linearized  multistage model  is  recommended  for  estimating
human cancer potency from animal  data (Federal Register, 1986a).  When  epi-
demiological  data are available, potency  is  estimated  based on the  observed
                                     8-27

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                                  TABLE  8-4

            Illustrative Categorization of Carcinogenic Evidence
                       Based  on  Animal and Human  Data*
Animal Evidence
Human
Evidence
Sufficient
Limited
Inadequate
No data
No evidence
Sufficient
A
Bl
B2
B2
B2
Limited
A
Bl
C
C
C
Inadequate
A
Bl
0
0
0
No Data
A
Bl
D
D
D
No
Evidence
A
Bl
D
E
E
*The above  assignments are  presented  for illustrative  purposes.   There may
 be nuances  in the  classification  of  both animal and  human  data  indicating
 that  different  categorizations  than  those  given  in  the  table  should  be
 assigned.  Furthermore, these  assignments  are tentative and may be modified
 by ancillary  evidence.   In  this  regard all  relevant  information  should be
 evaluated to  determine  if  the designation of the overall weight of evidence
 needs to be modified.   Relevant factors to be included along with the tumor
 data from human and animal  studies include structure-activity relationships,
 short-term test findings,  results  of  appropriate physiological, biochemical
 and  toxicological  observations,  and  comparative  metabolism  and  pharmaco-
 kinetic  studies.   The nature  of  these  findings may cause  an  adjustment of
 the overall categorization of the weight of evidence.
                                     8-28

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 relative risk in exposed  vs.  nonexposed individuals,  and on the magnitude of
 exposure.   Guidelines for use  of  these procedures  have been presented  in  the
 Federal  Register (1980,  1985) and in  each  of  a series  of  Health  Assessment
 Documents  prepared  by OHEA  (such as   U.S.  EPA,  1985c).   The true potency
 value is  considered  unlikely  to  be above  the  upper-bound  estimate of  the
 slope of the dose-response curve  in  the low-dose  range, and  it is  expressed
 in  terms of  risk-per-dose,  where  dose  is  in  units of mg/kg/day.   Thus,  q *
 has   units  of (mg/kg/day)"1.   OHEA  has derived potency estimates  for each
 of  the potentially  carcinogenic chemicals  that presently are candidates  for
 sludge  criteria.   Therefore,  no   new   effort  will be  required  to develop
 potency estimates to derive sludge criteria.
    8.4.3.2.2.   Risk  Level   (RL) — Since  by  definition  no  "safe"  level
 exists  for  exposure to nonthreshold agents, values of RAC are  calculated to
 reflect  various  levels of cancer risk.   If  RL  is  set  at zero,  then RAC will
 be  zero.    If RL is  set  at  10~6,  RAC   will be the concentration  that,   for
 lifetime  exposure,  is calculated  to  have an upper-bound cancer risk of  one
 case  in  one  million individuals exposed.  This  risk  level  refers  to excess
 cancer risk,  that  is, over and above the background cancer risk in unexposed
 individuals.  By varying  RL,  RAC may be calculated for any level of risk in
 the  low-dose  region, RL  <10~2.  Specification  of a given  risk   level  on
 which  to  base regulations  is a matter of policy.  Therefore,  it  is common
 practice to derive  criteria  representing several levels of risk without spe-
 cifying any level as "acceptable."
    8.4.3.2.3.   Human  Body  Weight   (bw)  and  Air  Inhalation  Rate  (I )  —
                                                                        a
 Considerations for  defining  bw  and  I   are  similar to those  stated  in Sec-
                                      3
 tion  8.4.3.1.2.    The  CAG  assumes  respective  values  of  70  kg  and  20
mVday  to   derive   unit  risk  estimates  for  inhalation,  which  are  potency
                                     8-29

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                                                3. -1
estimates   transformed    to   units   of   (vig/nO "•     As   illustrated   in
Table  8-3,  exposures may be  higher  in  children  than  in  adults when  the
ratios  of  inhalation  volumes  to  body  weights  are  compared.    However,
exposure  is  lifelong,  and therefore  values  of bw and I  are  usually chosen
to be representative of  adults.
    8.4.3.2.4.   Relative  Effectiveness  of  Exposure  (RE)  — Considerations
for  defining  RE for  Equation  8-21 are  the  same as  described  previously in
Section 8.4.3.1.5.
    8.4.3.2.5.   Total  Background  Intake  Rate of  Pollutant  (TBI) —  It is
important  to  recognize  that  sources  of exposure other  than  the  sludge dis-
posal  practice  may exist,  and  that the total  exposure  should  be  maintained
below  the determined  cancer risk-specific  exposure  level.   Procedures  for
determining TBI are as described previously in Section 8.4.3.1.3.
    8.4.3.2.6.   Fraction  of Inhaled  Air from Contaminated  Area — As  for
threshold-acting agents  (see Section  8.4.3.1.4.), it is assumed for carcino-
gens  that 100% of the  air breathed  by the most  exposed  individuals  will be
from the area of landfill.
8.5.   EXAMPLE CALCULATIONS
8.5.1.   Site-Specific  Application.   This  section presents  sample calcula-
tions  for determining the vapor exposure  resulting from land  application of
sludge.   In  the  following, calculations are first made for a particular  land
application  site  on  a site-specific application and then an example is given
for  calculating maximum  allowable contaminant levels  in  sludge.  Benzene,
because  it  is  a  volatile contaminant  of concern, is  used for  the  example
calculations.   For the  examples, data  describing  the occurrence  and concen-
tration  of benzene  in  sludge  are taken from  U.S.  EPA  (1985a).  The pathway
and  chemical  parameters used in the calculations are  summarized in Table  8-5.
                                     8-30

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                                  TABLE 8-5
            Input Parameters  for Example  Calculations:   Vapor Loss
 Fate  and  Transport:   Pathway Data
    1.  Vertical  Term for  Transport
    2.  Lateral Virtual  Distance
    3.  Average Wind  Speed
    4.  Length or Width  of  Source
    5.  Distance  from Center of Source
        to  Receptor
    6.  Standard  Deviation  of the
        Vertical  Concentration Distance
    7.  Annual Sludge  Application Rate
    8.  Sludge Solids  Content
 V  = 1
 Xy = 2840 m
 v  = 2  m/sec
 X0 = 1000 m
 r1 =  600 m

 az =  9.75 m
 ARa = 50 Mg DW/ha-year
 S = 0.06 kg/kg
Fate and Transport:  Chemical-Specific Data - Benzene
    1.  Contaminant Concentration in
        Sludge
    2.  Henry's Law Constant
Health Effects Data (Benzene)
    1.  Reference Air Concentration
    2.  NIOSH Recommended Exposure Limit
        (60-minute ceiling)
    3.  OSHA Standard (8-hour time-
        weighted average)
SC = 6.58 mg/kg DW
Hi = 0.24 (unitless)
RAC =0.12
NREL = 3.2 mg/m3(l ppm)*

OS = 32 mg/m3(10 ppm)*
*Source: CDC, 1983
                                     8-31

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Data  describing  waste  sites  are  values  assumed  to  represent  reasonable
cases.   In  actual  practice,  the data used in the calculations would be those
measured or collected by the applicant.
    8.5.1.1.   TIER  1  CALCULATION — The  Tier  1  calculation  involves  com-
paring the  equilibrium vapor concentration of the constituent  with  the  RAC.
This approach  represents  the worst possible case with no allowance made for
atmospheric  dilution,  dispersion  or  degradation.    The equilibrium  vapor
concentration  is taken as  the product  of the  Henry's  Law Constant  of  the
constituent and the liquid phase concentration of the constituent.
    The  liquid  phase  constituent  concentration can  be  obtained  in several
ways.  If  the leachate  extraction  procedure is used,  the liquid  concentra-
tion  will  be  determined directly  from  the  procedure.   If the  analytical
results  are  expressed  in   terms  of dry  weight,   it will  be   necessary  to
convert  the  dry weight  results  to an  equivalent  liquid phase  concentration
accounting  for partitioning between  the liquid and  solid phases.   This  is
accomplished by rearranging Equation 8-6 as follows:
                            =        (SCHS)
                              (K~~\U
where:

-------
     For  the example  calculation,  the 95th  percentile dry weight  concentra-
 tion  of  benzene in  sludge,   6.58  mg/kg, reported  in U.S.  EPA (1985a) was
 used.   The  organic  carbon  distribution coefficient  for  benzene  is  74.2
 fc/kg  (U.S.  EPA,  1985a).   Assuming  a   solids  content  of  6%  for digested
 sludge  (see Table  7-2),  an   organic  carbon content  of  50%  for  the  sludge
 solids,  and  a  density of 1  kg/a for  the sludge  liquid,  the   equivalent
 liquid concentration  is the following:
          Ci =
                             (6.58 mg/kg)(0.06 kg/kg)
               (74.2 l/kg)(0.5 kg/kg)(0.06 kg/kg) + (1~°-06)
                                                       1.0 kg/8.
             = 0.125 mg/9.
The  Henry's Law  Constant  for benzene  is then  used  to calculate  the vapor
concentration in equilibrium with the liquid concentration:
                                 Cv. = H.C]                            (8-23)
From  Appendix  C of  the Landfill Methodology Document  (U.S.  EPA,  1986),  the
dimensionless  Henry's   Law  Constant  for  benzene  is  0.24.   The equilibrium
vapor pressure is
              Cvi  = (0.24)  (0.125 mg/l)  =  0.030  mg/fi. = 30 mg/m3
The   resulting  value   for  Cv..   of  30  mg/m3  does   not  exceed  the  OSHA
standard  of 32  mg/m   (10  ppm), which   is  an  8-hour  time-weighted  average
exposure  limit.   However,   it  does  exceed  the  more  restrictive  NIOSH
recommendation  of 3.2  mg/m3  (1  ppm)  as  a  60-minute  ceiling (see  Table
8-5).   Therefore,  this   exposure   level,  which  might  only  occur  under
worst-case  atmospheric  conditions,  could  arguably pose a  hazard to  workers
in the field following application.
    To  use  this  result for  screening  purposes,  Cv.  is  compared  with  the
RAC.   The RAC for the carcinogen  benzene is derived using Equation 8-21:
                               'RL x bw
                       RAC =
- TBI
* la
                                     8-33

-------
The risk  level  (RL), the  body weight  (bw)  and the daily  inhalation  volume
(I )   are   set   for  this   example   at   10
  a
                                                -6
                                                      70   kg   and   20   m ,
respectively.   The  human  cancer potency  for oral  exposure  to benzene  has
been  determined  by  the   U.S.   EPA  to  be  2.9xlO~2  (mg/kg/day)  x   (U.S.
EPA, 1985a).  The relative  effectiveness factor (RE) is  set at 1.0.  Current
total background intake  (TBI)  of benzene from all  other  sources (except from
land  application of  sludges)  has  not  been  determined  for  1986,  but  for
illustrative  purposes  a  TBI  of  0  is used  here to  derive an example  RAC.
Determination of  an RAC  for  a  specific  landfill  site should be based  on  a
current local assessment of TBI.
                              10~6 x 70 kg
               RAC =
                     12.9x10-2  (mg/kg/day)
                                         -i x  l.O/
                                                      - 0
•f 20 ma
                  = 1.2 x 10 4 mg/m3
                  = 0.12 yg/m
The above  vapor  concentration  is then compared with  the  reference value for
benzene,   RAC  =   0.12   ug/m3.    Since   30   mg/m3   »  0.12   vg/m3,   it
is necessary to proceed to Tier 2.
    8.5.1.2.   TIER  2 CALCULATION — The Tier  2  methodology  involves  esti-
mating  the flux  of contaminant out of the land application site and using an
atmospheric  dispersion model  to  predict the  atmospheric concentration  of
contaminant downwind  of  the site.  The long-term average downwind concentra-
tion is then compared with the reference air concentration.
    For Tier  2,  the annual average flux  is  calculated  from the mass of con-
taminant  added annually  per  unit area  (RP ).   This is  done by  taking the
                                            d
product of the sludge concentration (SC) for the contaminant and the annual-
ized sludge application rate (AR  ):
                                3
                   RP, = (6.58 mg/kg) (50 Mg/ha-year) x 10
                     9
                       = 0.329 kg/ha-year

                                     8-34

-------
 The   flux   to   the  atmosphere  (Qy,  in  g/m2-sec)  is  found  by  dividing
 RPa by 3.2xl08 (from Equation 8-7):
                       Qv =
                                 0.329  kg/ha-vear
                              3.2x108  kg-ma-sec/g-ha-year
                          = 1.03xlO~9 g/m2-sec
 The source-receptor ratio  (SRR)  is  calculated as the ratio of the product of
 2.032, the  site  width (XQ)  squared, and  the vertical  term (V)  to  the  pro-
 duct of the sum  of  the distance from source  center  to  receptor (r1) and the
 lateral virtual  distance  (X ),  the mean  wind speed (v),  and the  standard
                              y
 deviation  of the  vertical  concentration  distribution  (oz)  (Equation 8-9):
               SRR  = (2.032)
                            [(600 m +
                                        (1000 m)2  x  1
                                       2840 m)(2  m/sec)(9.75 m)
                  = 30.29 (sec/m)
The  predicted  concentration  (C
                                     at  the  compliance  point  (such  as  the
 property  boundary)  is  calculated  as the product  of  the converted flux (Q )
 and  the source-receptor ratio (SRR)  (Equation 8-8):
                    Cc = (1.03x10 9 g/m2-sec) (30.29 sec/m)
                       = 31.2X10"9 g/m3
                       =31.2 ng/m3
This   concentration  is   compared  with   the   RAC   of  0.12   yg/m3   (120
ng/m ).  In this  case,  the predicted  concentration  is  about  a factor  of  4
smaller than  the  RAC.   As  a consequence, no  inhalation  hazards from benzene
are likely to occur.
8.5.2.    National   Criteria.   To set maximum sludge concentration  criteria,
it  is   necessary  to  apply the  methodology  in  reverse.   In  the  following
example,  this  is  done   using  the  example  case   in   Table  8-5  as   the
representative  scenario.   The  approach  utilizes Equation 8-17  and the  SRR
calculated for the site  according to  the  following.
                                     8-35

-------
    From Equation  8-9,  the  SRR  is calculated  for the site as the  ratio  of
the  product  of 2.032,  the site width  squared  (X ),  and  the vertical  term
(V) to the product of the sum of  the  distance from the source center to the
receptor  (r1)  and  the  virtual  lateral  distance  (X ),  the mean wind  speed
(v), and  the standard  deviation of the  vertical  concentration  distribution
              SRR = (2.032)
                                         (1000  m)2  x  1
                             (600 m + 2840 m)(2 m/sec)(9.75 m)
                  = 30.29  (sec/m)
The  reference  sludge concentration  is  then calculated  as the  ratio  of the
product  of  RAC  and  3.2xl08,  to  the  product  of  the  SRR  and the  sludge
application rate  (AR ).
                    a
           RSC =
                  (1.2xlO-4 mg/m3) (3.2xl05 kg-m2-sec/mg-ha-year)
                 (30.29 sec/m) (50 Mg/ha-year) (10-a kg-kg/Mg-mg)
               =25.5 mg/kg
Hence,  it  would  take nearly four times  the  95th percentile concentration of
benzene  in sludge  (6.58  mg/kg)  to exceed inhalation  limits  at  the property
boundary.
                                     8-36

-------
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Boswell,  F.C.   1975.  Municipal sewage  sludge  and  selected element applica-
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                                     9-4

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                                     9-5

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                                     9-6

-------
Logan, T.O. and  R.L.  Chaney.   1983.   Utilization of municipal  wastewater and
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                                     9-7

-------
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                                     9-8

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                                     9-9

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                                     9-10

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                                     9-11

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                                     9-12

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                                     9-13

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                                     9-14

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                                     9-15

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                                     9-16

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                    APPENDIX 1
REANALYSIS OF THE FDA REVISED TOTAL DIET FOOD LIST
                        Al-1

-------
                                TABLE A1-1*



              Reanalysis of  FDA Revised Total  Diet  Food  List:

   Item  Number,  Item Name,  Food Category, Comments,  Fractional Composition

         (by fresh weight of item or recipe)  and Percent Dry Matter

                 of Each Component.  Sorted by Item Number.
*Refer  to the  text of  Section  4.1.4.  for discussion  of the  purposes  and
 methods for this reanalysis.
                                       Al-2

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ITEM ITEM NflME
NUM.
001 whole Milk, fluid
001 whole lilk, fluid
002 low-fat nilk 2* fat, fluid
002 Ion-fat Milk 2X fat, fluid
003 chocolate Milk, fluid, low-fat Milk
003 chocolate Milk, fluid, low-fat milk
003 chocolate ailk, fluid, low-fat Milk
004 skiM Milk, fluid
005 butterMilk, fluid
005 buttenailk, fluid
006 yogurt, plain, low-fat
006 yogurt, plain, low-fat
007 Milkshake, chocolate, fast-food type
007 Milkshake, chocolate, fast-food type
007 Milkshake, chocolate, fast-food type
008 evaporated Milk, canned
008 evaporated Bilk, canned
009 yogurt, sweetened, strawberry, pre-stirred
009 yogurt, sweetened, strawberry, pre-stirred
009 yogurt, sweetened, strawberry, pre-stirred
009 yogurt, sweetened, strawberry, pre-stirred
010 cheese, teerican, processed
010 cheese, fiMerican, processed
Oil cottage cheese, creased, 4* ailkfat
Oil cottage cheese, creased, 4* railkfat
012 cheese, Cheddar, (sharp/Mild)
012 cheese, Cheddar, (sharp/Mild)
013 beef, ground, regular hamburger, cooked in patty shape
013 beef, ground, regular hanfaurger, cooked in patty shape
014 beef chuck roast, oven roasted
014 beef chuck roast, oven roasted
015 beef, round steak, stewed in water
015 beef, round steak, stewed in water
016 beef (loin/sirloin) steak, pan cooked with added fat
016 beef (loin/sirloin) steak, pan cooked with added fat
016 beef (loin/sirloin) steak, pan cooked with added fat
017 pork, ban, cured, not canned, oven cooked
017 pork, haM, cured, not canned, oven cooked
018 pork chop, pan cooked with added fat
018 pork chop, pan cooked with added fat
018 pork chop, pan cooked with added fat
019 pork sausage, (link/bulk), oven cooked
019 pork sausage, (link/bulk), oven cooked
020 pork, bacon, oven cooked
020 pork, bacon, oven cooked
021 pork roast, loin, oven cooked
021 pork roast, loin, oven cooked
022 lab chop, pan cooked with added fat
022 lanb chop, pan cooked with added fat
022 laub chop, pan cooked with added fat
023 veal cutlet, breaded, pan cooked with added fat
023 veal cutlet, breaded, pan cooked with added fat
023 veal cutlet, breaded, pan cooked with added fat
023 veal cutlet, breaded, pan cooked with added fat
023 veal cutlet, breaded, pan cooked with added fat

Table Al-1
CflTEGORY COMMENTS

dairy
dairy fat 3.3X fat
dairy
dairy fat
dairy
other sugar, cocoa, etc.
dairy fat 2.0* fat
dairy
dairy
dairy fat 1.0* fat
dairy with added nilk solids
dairy fat
dairy
other sugar, syrups, fillers
dairy fat
dairy
dairy fat
dairy low-fat silk
other sugar
other fruit
dairy fat
dairy
dairy fat
dairy
dairy fat
dairy
dairy fat
beef
beef fat
beef
beef fat
beef
beef fat
beef
beef fat assume not trimmed
veg oil
pork
pork fat
pork
pork fat assume not triaaed
veg oil
pork
pork fat
pork fat
pork
pork
pork fat
lafib
lanb fat assuae not trimmed
veg oil
beef
egg
wheat
veg oil
beef fat
AT -3

FRflCT

0.97
0.03
0.98
0.02
0.92
0.06
0.02
1.00
0.99
0.01
0.98
0.02
0.79
0.19
0.02
0.92
0.08
0.86
0.09
0.04
0.01
0.68
0.32
0.96
0.04
0.68
0.32
0.60
0.20
0.85
0.15
0.85
0.15
0.70
0.26
0.04
0.78
0.22
0.70
0.26
0.04
0.54
0.46
0.53
0.47
0.68
0.32
0.71
0.25
0.04
0.42
0.20
0.20
0.10
0.08


%m

0.08
1.00
0.08
1.00
0.08
0.99
1.00
0.09
0.08
1.00
0.13
1.00
0.12
0.97
1.00
0.18
1.00
0.08
0.99
0.78
1.00
0.35
1.00
0.16
1.00
0.40
1.00
0.46
1.00
0.38
1.00
0.39
1.00
0.26
1.00
1.00
0.46
1.00
0.35
1.00
1.00
0.35
1.00
1.00
0.77
0.47
1.00
0.34
1.00
1.00
0.15
0.25
0.88
1.00
1.00


-------
                                                           Table ftl-1
ITEM
ITEM NflME
                                                            CATEGORY
                                                                                     COMMENTS
                                                                                 FRflCT    *D«
024 chicktn,druOTtk/breast, breaded, fried M/add. f at, howaade   poultry
024 chicken, druwtk/breast, breaded, fried H/add. fat,ho»e»ade   veg oil
(£4 chicken, dri»stk/breast, breaded, fried H/add. f at, hoMHade poultry fat
0£4 chicken, druistk/breast, breaded, fried H/add. fat, howmde    wheat
085 chicken,  oven roasted                                     poultry
025 chicken,  oven roasted                                   poultry fat
066 turkey breast, oven roasted                               poultry
025 turkey breast, oven roasted                             poultry fat
027 liver (beef /calf), pan fried with added fat             beef liver
027 liver (beef /calf), pan fried with added fat            beef liver fat
027 liver (beef /calf), pan fried with added fat               veg oil
028 frankfurters, (beef /beef and pork),  boiled                 beef
028 frankfurters, (beef/beef and pork),  boiled               beef fat
028 frankfurters, (beef/beef and pork),  boiled                 other
029 bologna                                                    pork
029 bologna                                                  pork fat
030 salaii,  lunch »eat type, regular, not hard                 pork
030 salaai,  lunch Kat type, regular, not hard               pork fat
031 (cod/haddock) fillet, (fresh/frozen), oven cooked          fish
032 tuna, canned in oil, drained                               fish
032 tuna, canned in oil, drained                              veg oil
033 Bhriip(fresh/frozen),breadedtfried M/add. fat,hoMende     fish
033 shri«p(fresh/frozen),breadedlfried M/add. fat,how«ade     Hheat
033 shri«p(fresh/frozen),breadedifried H/add. fat.hownade    veg oil
033 shri»p{fresh/frozen),breadedlfried H/add. fat,ho«e>ade      egg
033 shri«p(fresh/frozen),breadedtfried H/add. fat,hoK*ade     other
033 shri«p (fresh/frozen), breadedtfried M/add. fat,ho»e*ade     fish
034 fish sticks, coMercial, frozen, oven cooked               fish
034 fish sticks, cxmercial, frozen, oven cooked               Hheat
034 fish sticks, conercial, frozen, oven cooked              veg oil
03S eggs, scrambled Mith added «ilk  and fat                     egg
035 eggs, scrambled Mith added «ilk  and fat                    dairy
035 eggs, scranbled Mith added «ilk  and fat                   veg oil
035 eggs, scrambled Mith added lilk  and fat                  dairy fat
036 eggs, fried  Mith  added  fat                                  egg
036 eggs, fried  Mith  added  fat                                veg oil,
037 eggs, soft boiled                                          egg
038 pinto beans,  boiled fro* dried                          leguwe vcg
039 pork and beans, canned                                  garden fruit
039 pork and beans, canned                                  leguK vug
039 pork and beans, canned                                     com
039 pork and beans, canned                                     pork
039 pork and beans, canned                                     corn
039 pork and beans, canned                                    pork fat
040 coMpeas (blackeyed peas),  boiled froM  dried            legtne  vug
041 li«a beans,  uture,  boiled  fro«  dried                   leguK  veg
042  liu beans,  iwture,  frozen,  boiled                   leguae  vug
043 navy beans,  boiled fro* dried                           leguK  vug
044 red beans, boiled fron dried                           legune  veg
045 peas,  green,  canned                                    legune  veg
046 peas,  green,  frozen,  boiled                            leguoe veg
047 peanut  butter, creany,  coiwercial in jar                  peanuts
047 oeanut  butter, creany,  coiwercial in jar                  other
047 peanut  butter, crea*y,  co»«ercial in jar                  peanuts
048 peanuts, dry roasted in jar, salted                       peanuts
049 pecans,  packaged, unsalted                                 other

                                                                Al-4
                                                         assime beef
                                                         assume beef
                                                       fillers,  sugar
                                                       haddock,  fresh
                                                            sugar
                                                          fish fat
                                                      assume whole milk
                                                          margarine
                                                      assure whole Milk
                                                 hard cooked, shell removed

                                                           tomato

                                                         corn syrup

                                                           starch

                                                           drained
                                                       whole, drained
                                                           drained

                                                       sugar, corn syrup
                                                         peanut oil
0.77
0.13
0.06
0.04
0.%
0.04
0.%
0.04
0.89
0.09
0.02
0.71
0.27
0.02
0.71
0.29
0.75
0.25
1.00
0.92
0.08
0.74
0.10
0.06
0.05
0.03
0.02
0.63
0.26
0.11
0.76
0.20
0.03
0.01
0.94
0.06
1.00
1.00
0.40
0.40
0.07
0.06
0.04
0.03
1.00
1.00
1.00
1.00
1.00
1.00
1.00
0.50
0.31
0.19
1.00
1.00
0.38
1.00
1.00
0.8&
0.29
1.00
0.38
1.00
0.37
1.00
1.00
0.18
1.00
1.00
0.16
1.00
0.26
1.00
0.24
0.32
1.00
0.20
0.88
1.00
0.25
0.99
1.00
0.28
0.88
1.00
0.25
0.08
1.00
1.00
0.25
1.00
0.24
0.34
0.06
0.31
0.99
0.15
0.99
1.00
0.28
0.34
0.26
0.31
0.31
0.23
0.18
0.98
1.00
0.39
0.98
0.97

-------
                                                             Table fli-i
ITEM                        ITEM NflME                         CATEGORY
NUM.
 050 rice, white, enriched, cooked                              rice
 051 oat»eal, cooked                                            oats
 052 farina, enriched, cooked                                   wheat
 053 corn gritsthosiny grits), enriched, cooked                 corn
 054 corn, (fresh/frozen), boiled                               com
 055 corn, canned                                               corn
 056 corn, creaa style, canned                                  corn
 057 popcorn, popped in oil                                     corn
 057 popcorn, popped in oil                                    veg oil
 058 Hhitebread,  enriched                                       water
 058 whitebread,  enriched                                       wheat
 058 Hhitebread,  enriched                                       other
 058 whitebread,  enriched      .                                veg oil
 059 rolls,  white,  soft, enriched                               wheat
 059 rolls,  white,  soft, enriched                               other
 059 rolls,  white,  soft, enriched                              veg oil
 060 cornbread, southern style, honenade                        corn
 060 cornbread, southern style, hoHeaade                        dairy
 060 cornbread, southern style, honesade                        wheat
 060 cornbread, southern style, honeude                         egg
 060 cornbread, southern style, homemade                        other
 060 cornbread, southern style, hoaeaade                       veg oil
 060 cornfaread, southern style, honeraade                      dairy fat
 061 biscuits,baking powder,enriched,refrigerated type,baked    wheat
 061 biscuits,baking powder,enriched, refrigerated type,baked    water
 061 biscuits,baking powder,enriched,refrigerated type, baked    other
 061 biscuits,baking powder,enriched,refrigerated type,baked   veg oil
 062 whole wheat  bread                                          wheat
 062 whole wheat  bread                                          water
 062 whole wheat  bread                                          other
 062 whole wheat  bread                                         veg oil
 063 tortilla,  flour                                            corn
 064 rye bread                                                  water
 064 rye bread                                                  wheat
 054 rye bread                                                  other
 064 rye bread                                               other grain
 064 rye bread                                                 veg oil
 065 Muffins (blueberry/plain)                                  wheat
 065 suffins (blueberry/plain)                                 veg oil
 065 auffins (blueberry/plain)                                  other
 065 Muffins (blueberry/plain)                                  dairy
 065 auffins (blueberry/plain)                                  other
 065 iiuffins (blueberry/plain)                                   egg
 065 suffins (blueberry/plain)                                dairy fat
 066 saltine crackers                                           wheat
 066 saltine crackers                                          veg oil
 067 corn chips                                                 corn
 067 corn chips                                                veg oil
 068 pancakes made  from six w/addition of egg,  ailk and oil      egg
 068 pancakes nade  from six w/addition of egg,  uilk and oil     dairy
 068 pancakes raade  from nix w/addition of egg,  silk and oil     wheat
 068 pancakes uade  frou six w/addition of egg,  sulk and oil    veg oil
 068 pancakes nade  from nix w/addition of egg,  nilk and oil     corn
 068 pancakes Bade  from nix w/addition of egg,  Bilk and oil   dairy fat
 069 noodles, egg,  enriched,  cooked                             water
 069 noodles, egg,  enriched,  cooked                             wheat

                                                               Al-5
        COHHENTS
      quick-cooking
        degemed
 fresh, 5" by 1 3/4" ear
wet packed, drain solids

large kernal, salt added
       coconut oil
    sugar, corn syrup
        corn meal
          sugar
FRflCT    *»t
    sugar,  corn syrup



      sugar,  syrups

    yellow, untreated

     2/3 wheat flour
    sugar,  corn syrup
      1/3 rye flour



          sugar

        blueberry


      enriched flour




       whole  nilk
1.00
1.00
1.00
1.00
1.00
1.00
1.00
0.78
0.22
0.37
0.35
0.26
0.02
0.72
0.23
0.05
0.31
0.29
0.14
0.13
0.06
0.06
0.01
0.40
0.28
0.24
0.08
0.36
0.31
0.30
0.03
1.00
0.37
0.24
0.23
0.12
0.04
0.47
0.14
0.13
0.11
0.08
0.04
0.03
0.90
0.10
0.80
0.20
0.35
0.32
0.19
0.08
0.04
0.02
0.61
0.34
0.27
0.13
0.11
0.13
0.26
0.24
0.24
0.94
1.00
0.00
0.88
0.73
1.00
0.88
0.99
1.00
0.89
0.08
0.88
0.25
0.99
1.00
1.00
0.88
0.00
0.73
1.00
0.88
0.00
0.99
1.00
0.88
0.00
0.88
0.73
0.88
1.00
0.88
1.00
0.99
0.08
0.15
0.25
1.00
0.88
1.00
0.95
1.00
0.40
0.31
0.90
1.00
0.90
1.00
0.00
0.88

-------
Table ftl-1
ITEM ITEM NAME
NUM.
069 noodles, egg, enriched, cooked
070 Macaroni, enriched, cooked
071 corn flakes
072 fruit flavored, presweetened cereal
072 fruit flavored, presweetened cereal
073 Shredded Wheat cereal
074 Raisin Bran cereal
074 Raisin Bran cereal
074 Raisin Bran cereal
075 crisped rice cereal
07S crisped rice cereal
076 granola, Hith raisins
076 granola, Hith raisins
076 granola, Hith raisins
077 oat ring, unsweetened cereal
077 oat ring, unsweetened cereal
077 oat ring, unsweetened cereal
07S apple, red with peel, ran
079 orange, raw, (navel/Valencia)
080 banana, raw
031 Haternelon, ran
062 peach, canned in heavy syrup
062 peach, canned in heavy syrup
083 peach, raw
OB4 applesauce, canned, sweetened
034 applesauce, canned, sweetened
065 pear, rax
036 strawberries, raw
087 fruit cocktail, canned in heavy syrup
087 fruit cocktail, canned in heavy syrup
088 grapes (purple/green), raw
089 cantaloupe, raw
090 pear, canned in heavy syrup
090 pear, canned in heavy syrup
091 pluis, pruple, raw
092 grapefruit, raw
093 pineapple, canned in juice pack
094 cherries, sweet, raw
095 raisins, dried
095 prunes, dried, uncooked
097 avocado, raw
097 avocado, raw
098 orange juice, frozen, reconstituted
099 applt juice, canned, unsweetened
100 grapefruit juice, frozen, reconstituted
101 grape juice, canned
102 pineapple juice, canned
103 prune juice, bottled
104 orange drink with added vitanin C, canned
10S lencnade, frozen, reconstituted
106 spinach, canned
107 spinach, (fresh/frozen), boiled
108 collards, (fresh/frozen), boiled
109 lettuce, raw
110 cabbage, boiled fro* raw
111 coleslaw with dressing, houeaade

CftTEHJRY

egg
wheat
corn
corn
other
wheat
wheat
other
other
rice
other
oats
other
other
oats
corn
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
other
garden fruit
garden fruit
other
other
other
other
other
other
other
other
leafy veg
leafy veg
leafy veg
leafy veg
leafy veg
leafy veg
AT -6
COMMENTS


tender stage

assure Fruit Loops
sugar, salt, iron, vitamins

assuiae no sugar on raisins
raisins
sugar

sugar

raisins
sugar

corn wal
sugar
fruit
fruit
fruit
fruit
sugar, syrup, etc.
fruit
fruit
sugar
fruit
fruit
fruit
sugar, syrup, etc.
fruit
fruit
fruit with rind
sugar, syrup, etc.
fruit
fruit, Japanese & hybrid
fruit
fruit, includes fruit pack juices
fruit
fruit
fruit

avocado oil
fruit, 3 parts water
fruit
fruit, 3 parts water
fruit
fruit, unsweetened
fruit
fruit, sugar, water
fruit, 4 1/3 parts water
drained
fresh
fresh, leaves without stens
Iceberg lettuce

1/2 tsp celery seed added

FRflCT

0.05
1.00
1.00
0.81
0.19
1.00
0.57
0.22
0.21
0.71
0.29
0.61
0.26
0.13
0.50
0.45
0.05
1.00
1.00
1.00
1.00
0.56
0.44
1.00
0.56
0.44
1.00
1.00
0.56
0.44
1.00
1.00
0.56
0.44
1.00
1.00
1.00
1.00
1.00
1.00
0.93
0.07
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
0.50

*D«

0.25
0.27
0.96
0.99
0.98
0.93
0.97
0.82
0.99
0.88
0.99
0.88
0.82
0.99
0.88
0.98
0.99
0.16
0.14
0.24
0.07
0.27
0.09
0.11
0.00
0.11
0.17
0.10
0.27
0.09
0.19
0.09
0.27
0.09
0.13
0.11
0.15
0.20
0.82
0.72
0.16
1.00
0.13
0.12
0.11
0.17
0.14
0.20
0.10
0.11
0.09
0.08
0.10
0.04
0.06
0.08


-------

ITEM ITEM N«€
NUM.
Ill coleslaw with dressing, homemade
111 coleslaw with dressing, homemade
111 coleslaw with dressing, homemade
111 coleslaw with dressing, honenade
112 sauerkraut, canned
113 broccoli, (fresh/frozen), boiled
114 celery, raw
115 asparagus, 
-------
                                                             Table fil-1
ITEM                        HEM NfiME
NUM.
 142 spaghetti with neat sauce, hweaade
 142 spaghetti with neat sauce, hosetiade
 142 spaghetti with neat sauce, howenade
 142 spaghetti with neat sauce, homemade
 142 spaghetti with aeat sauce, homemade
 142 spaghetti with neat sauce, homeaade
 143 beef and vegetable stew, honerade
 143 beef and vegetable stew, hoasMadB
 143 beef and vegetable stew, boBeiade
 143 beef and vegetable stew, homemade
 143 beef and vegetable stew, hoteuade
 143 beef and vegetable stew, honsBade
 144 pizza,  cheese,  frozen, cowercial, heated
 144 pizza,  cheese,  frozen, cciraercial, heated
 144 pizza,  cheese,  frozen, cowercial, heated
 144 pizza,  cheese,  frozen, comuercial, heated
 144 pizza,  cheese,  frozen, co«iercial, heated
 144 pizza,  cheese,  frozen, cosmercial, heated
 145 chili  con  carne,  beef and beans, canned
 145 chili  con  carne,  beef and beans, canned
 145 chili  con  carne,  beef and beans, canned
 145 chili  con  carne,  beef and beans, canned
 145 chili  con  carne,  beef and beans, canned
 146 itacaroni and cheese,  prepared froa box aix
  146 aacaroni and cheese,  prepared frosi box six
 146 nacaroni and cheese,  prepared fro* box nix
  146 aacaroni and cheese,  prepared from box six
 146 aacaroni and cheese,  prepared fros box aix
  146 aacawni and cheese,  prepared fron box six
  146 nacaroni and cheese,  prepared from box nix
  147  1/4 Ib. hanburger,  white roll w/garnish, fast-
  147  1/4 Ib. haMburger,  white roll w/garnish, fast-
  147 1/4 Ib. hauburger,  white roll w/garnish, fast'
  147 1/4 Ib. haMburger,  white roll w/garnish, fast'
  147 1/4 Ib. haiburier,  white roll w/garnish, fast
  147 1/4 Ib. haaburger,  white roll w/garnish, fast'
  147 1/4 Ib. haaburger,  white roll w/garnish, fast
  148 neat loaf,  beef, hoeasade
  14S neat loaf,  beef, hocenade
  148 neatloaf,  beef, hoaenade
  143 aeatloaf,  beef, hotoiade
  148 neat loaf,  beef, honseaade
  148 neat loaf,  beef, houeaade
  149 spaghetti in toaato sauce, canned
  143 spaghetti in toaato sauce, canned
  149 spaghetti in tonato sauce, canned
  150 chicken noodle casserole, houeaade
  150 chicken noodle casserole, hoaeinade
  150 chicken noodle casserole, homemade
  150 chicken noodle casserole, honemade
  150 chicken noodle casserole, hoaeuade
  150 chicken noodle casserole, howesrade
  150 chicken noodle casserole, hoaeaiade
  150 chicken noodle casserole, hoseaade
  150 chicken noodle casserole, honesade
  151 lasagne,  hoaaede
           CflTEGORY

         garden fruit
             other
              egg
           beef "fat
           root vug
           leafy veg
             beef
            potato
           root veg
           beef fat
             other
             wheat
             other
             wheat
            veg oil
             dairy
           dairy fat
         garden fruit
             beef
          legume veg
         garden fruit
           root veg
           beef fat
             water
             wheat
             dairy
             dairy
           dairy fat
               egg
           dairy fat
-food type    wheat
•food type    beef
-food type    veg oil
•food type  beef fat
-food typegarden  fruit
-food type  root veg
-food type   leafy veg
              beef
         garden fruit
              wheat
            beef fat
               egn
            root  veg
              wheat
               egg
         garden fruit
              wheat
             veg oil
             poultry
               egg
              dairy
          garden fruit
           poultry fat
            dairy fat
              dairy
              wheat

              Al-8
 COMMENTS

   toaato
   sugar
   noodles

   onion
   parsley
   carrot

  seasoning

    sugar
   cheese
   cheese
tomato sauce

    beans
tomato sauce
   onions
   noodles
   cheese
    milk
   cheese
   noodles
    Milk
   tomato
    onion
   lettuce

 tomato catsuo
     onion
    noodles
    noodles
 tomato sauce
    noodles
     nilk
 milk,  cheese
    cheese
    noodles
                                                                                                              FRflCT    *D«
0.06
0.03
0.03
O.OE
0.01
0.01
0.45
0.17
0.16
0.14
0.05
0.03
0.40
0.25
0.12
0.10
0.08
0.05
0.34
0.33
0.16
0.12
0.05
0.29
0.29
0.15
0.13
o.oa
0.05
0.01
0.34
0.32
0.20
0.10
0.02
0.01
0.01
0.40
0.21
0.19
0.13
0.05
0.02
0.77
0.17
0.06
0.39
0.15
0.12
0.11
0.09
0.06
0.05
0.02
0.01
0.40
0.10
0.99
0.25
1.00
0.14
0.15
0.33
0.20
0.12
1.00
1.00
0.88
0.99
0.88
1.00
0.08
1.00
0.20
0.12
0.15
0.10
0.15
1.00
0.00
0.88
0.35
0.08
1.00
0.25
1.00
0.65
0.12
1.00
1.00
0.07
0.10
0.05
0.26
0.30
0.88
1.00
0.26
0.11
0.18
0.25
0.30
0.29
1.00
0.45
0.25
0.08
0.10
1.00
1.00
0.84
0.30

-------
                                                              Table fll-i
ITEM                        ITEM NflME
NUM.
 151 lasagne, horaesiade
 151 lasagne, hoaeisade
 151 lasagne, honettade
 151 lasagne, hoaeaade
 151 lasagne, homemade
 151 lasagne, hosettade
 152 potpie,  frozen, commercial, chicken, oven heated
 152 potpie,  frozen, coaaercial, chicken, oven heated
 152 potpie,  frozen, comisercial, chicken, oven heated
 152 potpie,  frozen, cousercial, chicken, oven heated
 152 potpie,  frozen, coasercial, chicken, oven heated
 152 potpie,  frozen, coBBercial, chicken, oven heated
 152 potpie,  frozen, corasercial, chicken, oven heated
 152 potpie,  frozen, coimercial, chicken, oven heated
 153 pork chow mein, hooenade
 153 pork chow nein, houeaade
 153 pork chow nein, homemade
 153 pork chow aein, hoaesade
 153 pork chow raein, honanade
 153 pork chow eein, hoiteaade
 153 pork chow raein, horaeaade
 154 fr.  dinner:fr.chicken,mash  pot.,cornbr.S/or veg.,heated
 154 fr.  dinner:fr.chicken,wash  pot.,cornbr.$/or veg.,heated
 154 fr.  dinner:fr.chicken,aash  pot.,cornbr.&/or veg.,heated
 154 fr.  dinner:fr.chicken,mash  pot.,cornbr.«/or veg.,heated
 154 fr.  dinner:fr.chicken,wash  pot.,cornbr.&/or veg.,heated
                                                               CflTEGQRY

                                                                 dairy
                                                                 beef
                                                               dairy fat
                                                               beef fat
                                                             garden fruit
                                                                  egg
                                                                 wheat
                                                                poultry
                                                                  egg
                                                              leguae veg
                                                                potato
                                                              poultry fat
                                                                veg oil
                                                               root veg
                                                                 water
                                                                 pork
                                                                 other
                                                                veg oil
                                                               pork fat
                                                                 corn
                                                               mushrooras
                                                                 wheat
                                                                poultry
                                                                potato
                                                                veg oil
                                                                 dairy
154 fr. dinner: fr. chicken, wash  pot.,cornbr.S/or veg., heated legume veg
154 fr. dinner:fr.chicken,nash  pot. , cornbr. 8/or veg., heated poultry fat
 154 fr.  dinner:fr.chicken,Biash pot.,cornbr.4/or veg., heated
 154 fr.  dinner :fr. chicken, raash pot.,cornbr.&/or veg., heated
 155 chicken noodle soup,  canned,  reconstituted with water
 155 chicken noodle soup,  canned,  reconstituted with water
 155 chicken noodle soup,  canned,  reconstituted with water
 155 chicken noodle soup,  canned,  reconstituted with water
 155 chicken noodle soup,  canned,  reconstituted with water
 155 chicken noodle soup,  canned,  reconstituted with water
 156 tosato soup,  canned,  reconstituted with whole milk
 156 tomato soup,  canned,  reconstituted with whole milk
 156 toaato soup,  canned,  reconstituted with whole silk
 155 tonato soup,  canned,  reconstituted with whole Milk
 156 toaato soup,  canned,  reconstituted with whole silk
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 157 vegetable  beef  soup,  canned,  reconstituted with water
 158 beef bouillon,  canned, reconstituted with  water
 156 beef bouillon, canned, reconstituted with  water
 158  beef bouillon, canned, reconstituted with  water
 158 beef bouillon, canned, reconstituted with  water
 159  gravy,  brown, frost nix
159 gravy,  brown, fron aix
 159 gravy,  brown, frora nix
160 white sauce, «ediun, homemade
                                                                other
                                                              dairy fat
                                                                water
                                                                wheat
                                                               poultry
                                                                ego
                                                               veg  oil
                                                                corn
                                                                dairy
                                                                corn
                                                           garden  fruit
                                                               veg  oil
                                                             dairy fat
                                                                water
                                                                wheat
                                                               corn
                                                                beef
                                                               corn
                                                              potato
                                                            legume veg
                                                               water
                                                               beef
                                                               other
                                                             beef fat
             COMMENTS

              cheese



              tomato
FfiflCT    H W
               pea
             carrot
celery, water chestnuts, sprouts
           cornstarch
              milk
      assume peas or beans

              sugar
              milk
          corn syrup
             milk
          corn syrup
            toaato
                                                               other
                                                               corn
                                                               dairy

                                                              AT -9
          corn starch

          corn syrup




             sugar
             sugar
          corn starch
             milk
0.24
0.14
0.12
0.05
0.03
0.02
0.30
0.26
0.14
0.09
0.07
0.06
0.05
0.03
0.58
0.23
0.10
0.04
0.03
0.01
0.01
0.33
0.30
0.09
0.07
0.07
0.07
0.04
0.02
0.01
0.89
0.04
0.03
0.02
0.01
0.01
0.39
0.25
0.22
0.11
0.03
0.90
0.03
0.02
0.02
0.01
0.01
0.01
0.91
0.74
0.25
0.11
0.98
0.01
0.01
0.79
0.31
0.30
1.00
1.00
0.06
0.26
0.88
0.17
0.24
0.12
0.17
1.00
1.00
0.09
0.00
0.24
0.04
1.00
1.00
0.89
0.04
0.88
0.15
0.13
1.00
0.08
0.21
1.00
0.99
1.00
0.00
0.88
0.14
0.26
1.00
0.89
0.08
0.99
0.18
1.00
1.00
0.00
0.88
0.89
0.10
0.99
0.10
0.12
0.00
o;i4'
0.99
1.00
0.00
0.99
0.89
0.08

-------
                                                             Table ftl-1
ITEM
m.
 160 white sauce,
 160 white sauce,
 161 pickles, dill, bottled
 162 Margarine Made w/parti
 163 salad dressing, Italian.
 164 butter, stick type
 165 vegetable oil, corn
 166 Mayonnaise, bottled
 166 Mayonnaise, bottled
 167 creaM, half and half, fluid
 167 creaM, half and half, fluid
 168 crean substitute, pondered
 169 sugar, white, granulated
 170  syrup, pancake,
 170  syrup, pancake, bottled
 170  syrup, pancake, bottled
 171 jelly, grape, bottled
 171 jelly, grape, bottled
 172 honey, bottled
 173 catsup, bottled
 173 catsup, bottled
 173 catsup, bottled
 174 ice crea«f chocolate
 174 ice creu, chocolate
 174 ice creaM, chocolate
 ITS pudding, chocolate,
 175 pudding, chocolate,
 175 pudding, chocolate,
 176 ice creaM sandwich
 176 ice cm« sandwich
 176 ice creaM sandwich
 176 ice creaM sandHich
 177 ice Milk, vanilla
 177 ice Milk, vanilla
 177 ice Milk, vanilla
 17B chocolate cake H/ch
 178 chocolate cake w/di
 178 chocolate cake H/ch
 178 chocolate cake w/ch
 178 chocolate cake H/ch
 178 chocolate cake H/ch
 179 yellow cake prep, f
 179 yellow cake prep, f
 179 yellow cake prep, f
 179 yellow cake prep, f
 179 yello* cake prep, f
 179 yellow cake prep, f
 160 coffeecake,  (ready-
 ISO coffeecake,  (ready-
 1BO coffeecake,  (ready-
 ISO coffeecake,  (ready-
 100 coffeecake,  (ready-
 ISO coffeecake,  (ready-
 181 doughnuts, cake type, plain,
 181 doughnuts, cake type, plain,  (ready-to-eat/frozen)
 181 doughnuts, cake type, plain,  (ready-to-eat/frozen)
ITEM NfiME CATEGORY
hoMe«ade dairy fat
hoHcuade wheat
ed garden fruit
•tially hydrog. veg. oil, stick type veg oil
ian, bottled veg oil
dairy fat
bottled veg oil
egg
veg oil
:, fluid dairy
:, fluid dairy fat
wdered other
,ated other
;tled other
itled water
;tled corn
id other
id other
other
garden fruit
other
other
> dairy
! other
> dairy fat
instant, Made with whole Milk other
instant, nade with whole Milk dairy
instant, nade with whole Milk dairy fat
wheat
other
dairy
dairy fat
dairy
other
dairy fat
scolate icing, (ready-to-eat/frozen) other
>colate icing, (ready-to-eat/frozen) wheat
xttlate icing, (ready-to-eat/frozen) veg oil
wolate icing, (ready-to-eat/frozen) dairy
>colate icing, (ready-to-eat/frozen) dairy fat
jcolate icing, (ready-to-eat/frozen) egg
•OH nix w/white icing prep, froM nix other
M Mix H/white icing prep. froM Mix veg oil
•OM Mix w/white icing prep, from mix dairy
, plain, (ready-to-eat/frozen) wheat
COMMENTS
butter, nilk

cucnber

regular
regular



cream 4 Milk

vegetable fat t sweetener

sugar

corn syrup
sugar
fruit


vinegar
sugar

sugar

sugar



sugar



sugar

sugar, cocoa





sugar







sugar, etc.




                                               FRflCT    % DM
 other
veg oil

AT-10
sugar
0.13
0.08
1.00
1.00
1.00
1.00
1.00
0.60
0.40
0.90
0.10
1.00
1.00
0.51
0.27
0.22
0.75
0.25
1.00
0.45
0.30
0.85
0.75
0.15
0.10
0.81
0.16
0.03
0.73
0.15
0.10
0.02
0.80
0.15
0.05
0.44
0.25
0.17
0.06
0.04
0.04
0.44
0.25
0.17
0.06
0.04
0.04
0.25
0.24
0.22
0.20
0.07
0.02
0.37
0.25
0.20
1.00
0.88
0.07
0.84
0.72
0.84
1.00
O.OB
1.00
0.12
1.00
0.10
0.99
0.99
0.00
0.73
0.99
0.37
0.83
0.07
0.01
0.99
0.08
0.99
1.00
0.99
0.08
1.00
0.63
0.99
0.08
1.00
0.20
0.99
1.00
0.99
0.63
1.00
0.08
1.00
0.25
0.99
0.63
1.00
0.08
0.25
1.00
0.08
0.88
0.99
1.00
0.25
1.00
0.88
0.99
1.00

-------
                                                              Table fll-i
                             ITEM NflHE                         CATEGORY
 NUK.
  161 doughnuts, cake type, plain, (ready-to-eat/frozen)         water
  181 doughnuts, cake type, plain, (ready-to-eat/frozen)         dairy
  Ifll doughnuts, cake type, plain, {ready-to-eat/frozen)          egg
  182 Danish pastry/sweet roll,  {ready-to-eat/frozen)             wheat
  182 Danish pastry/sweet roll,  (ready-to-eat/frozen)             dairy
  182 Danish pastry/sweet roll,  (ready-to-eat/frozen)            veg oil
  182 Danish pastry/sweet roll,  (ready-to-eat/frozen)             other
  182 Danish pastry/sweet roll,  (ready-to-eat/frozen)              egg
  182 Danish pastry/sweet roll,  (ready-to-eat/frozen}           dairy fat
  183 cookies,  chocolate chip                                    wheat
  183 cookies,  chocolate chip                                    other
  183 cookies,  chocolate chip                                   veg oil
  183 cookies,  chocolate chip                                    other
  183 cookies,  chocolate chip                                     egg
  184 cookies,  sandwich  type, chocolate w/white cream  filling    wheat
  184 cookies,  sandwich  type, chocolate w/white creaai  filling    other
  184 cookies,  sandwich  type, chocolate w/white crean  filling   veg oil
  184 cookies,  sandwich  type, chocolate w/white creaa  filling     egg
  185 apple  pie,  frozen,  heated                                   wheat
  IBS apple  pie,  frozen,  heated                                   other
  185 apple  pie,  frozen,  heated                                   other
  185 apple  pie,  frozen,  heated                                 veg oil
  186 punpkin pie, frozen, heated                             garden  fruit
  186 puapkin pie, frozen, heated                                 wheat
  186  puipkin pie, frozen, heated                                 dairy
 186 punpkin pie, frozen, heated                                 egg
  186  puepkin pie, frozen, heated                               veg oil
 186 punpkin pie, frozen, heated                              dairy fat
  187 candy,  plain Bilk chocolate                                other
 187 candy,  plain Bilk chocolate                               veg oil
  187 candy,  plain «ilk chocolate                                other
 187 candy,  plain Bilk chocolate                                other
 188 candy,  carraels                                             other
 188 candy,  camels                                             dairy
 188 candy,  camels                          .                   other
 188 candy,  carsels                                             other
 188 candy,  carsels                                           dairy fat
 189 chocolate powder,sweetened,to nix w/ hot or  cold  milk      other
 189 chocolate powder,sweetened,to six w/ hot or  cold  milk      other
 189 chocolate powder,sweetened,to raix w/ hot or  cold  milk      other
 190 gelatin dessert,  prepared,  strawberry                      water
 190 gelatin dessert,  prepared,  strawberry                      other
 191 carbonated soda,  sweetened, cola type, canned               water
 191  carbonated soda, sweetened, cola type, canned               other
 192 carbonated soda, sweetened, lemon-line,  canned              water
 192 carbonated soda, sweetened, leinon-liBe,  canned              other
 193 soft drink from powder,  cherry flavor, presweetened        water
 193  soft drink froa powder,  cherry flavor, presweetened       other
 194  soda, low  calorie,  cola, sweetened w/saccharine,  canned    water
 194  soda, low calorie, cola, sweetened w/saccharine,  canned    other
 195  coffee  beverage, fron instant                              other
195 coffee  beverage, from instant                              other
 196 coffee  beverage, from instant, decaffeinated               other
196 coffee beverage, from instant, decaffeinated               other
197 tea beverage, hot, made with tea bag                       other
197 tea beverage, hot,  made with tea bag                       other

                                                              AT-11
            COMMENTS
             non-fat
              white
           sargarine
              sugar
             sugar

        chocolate chips


             sugar
             sugar
            apples

            puapkin

        evaporated Bilk



             sugar

             cocoa
           cocoa fat
             sugar

           cocoa fat
  cocoa, based  on chocolate

             sugar
             cocoa
           cocoa fat

      sugar  and  gelatin

sugars, syrups and flavorings

sugars, syrups and flavorings

        sugar and mix

      flavor, saccarine
            water
        coffee beans
            water
        coffee beans
            water
             tea
FRflCT    *D»
0.14
0.03
0.01
0.46
0.21
0.20
0.07
0.05
0.01
0.48
0.26
0.13
0.07
0.05
0.48
0.36
0.10
0.06
0.33
0.28
0.21
0.18
0.40
0.30
0.18
0.17
0.09
0.02
0.52
0.23
0.22
0.03
0.70
0.16
0.07
0.04
0.03
0.52
0.37
0.11
0.97
0.03
0.98
0.02
0.98
0.02
0.98
0.02
0.98
0.02
0.98
0.02
0.98
0.02
0.98
0.02
0.00
0.08
0.25
0.88
0.08
1.00
0.99
0.25
1.00
0.97
0.99
1.00
0.98
0.80
0.97
0.99
1.00
0.80
0.88
0.99
0.14
1.00
0.26
0.86
0.21
0.25
1.00
1.00
0.99
1.00
0.99
1.00
0.99
0.08
1.00
0.99
1.00
0.99
0.99
1.00
0.00
0.98
0.00
0.91
0.00
0.91
0.00
0.99
0.00
0.99
0.00
0.01
0.00
0.01
0.00
0.98

-------
                                                             Table fll-i
ITEM                        ITEMNflHE
NIK,
 193 beer, canned
 196 beer, canned
 199 Nine, table, 12.2* alcohol
 199 Mine, table, 12.2* alcohol
 200 whisky, 80-proof
 200 whisky, 80-proof
 201 Hater
 202 Hilk-based  infant foraula w/iron,canned,ready-to serve
 202 Bilk-based  infant forwila w/iron, canned,ready-to serve
 202 Milk-based  infant fomula w/iron, canned, ready-to serve
 202 •ilk-based  infant forwila w/iron,canned,ready-to serve
 203 tiilk-based  infant formula H/O iron,canned, ready-to-serv
 203 iilk-based  infant  foriula M/O iron,canned,ready-to-serv
 203 Milk-based  infant  fomula H/O iron, canned, ready-to-serv
 203 «ilk-based  infant  fonula M/O iron,canned,ready-to-serv
 204  infant »ixed cereal,  prepared fro« dry with whole  Milk
 204  infant sixed cereal,  prepared from dry with whole milk
 204  infant »ixed cereal,  prepared fro* dry with whole silk
  205 beef,  (st./jr.)
 205  beef,  (st./jr.)
  206 pork,  (st./jr.)
 206 pork,  (st./jr.)
  207 chicken/turkey, (st./jr.)
 207  chicken/turkey, (st./jr.)
  208 high seat  (chicken/turkey) and vegetables,  (st./jr.)
  208 high »eat  (chicken/turkey)  and vegetables,  (st./jr.)
  203 high »eat  (chicken/turkey) and vegetables,  (st./jr.)
  208 high teat  (chicken/turkey) and vegetables,  (st./jr.)
  203 high seat  beef and vegetables,  (st./jr.)
  209 high neat  beef and vegetables,  (st./jr.)
  203 high seat  beef and vegetables,  (st./jr.)
  209 high *eat  beef and vegetables,  (st./jr.)
  210 high meat  ha* and vegetables,  (st./jr.)
  210 high *eat  had and vegetables,  (st./jr.)
  210 high »eat  han and vegetables,  (st./jr.)
  210 high neat  ha* and vegetables,  (st./jr.)
  211 vegetables with beef,  (st./jr.)
  211 vegetables with beef,  (st./jr.)
  211 vegetables with beef,  (st./jr.)
  211 vegetables with beef,  (st./jr.)
  212 vegetables with  (trukey/chicken), (st./jr.)
  212 vegetables with  (trukey/chicken), (st./jr.)
  212 vegetables with  (trukey/chicken), (st./jr.)
  212 vegetables with  (trukey/chicken), (st./jr.)
  213 vegetables with (bacon/has), (st./jr.)
  213 vegetables with  (bacon/ha«), (st./jr.)
   213 vegetables with (bacon/ha*), (st./jr.)
  213 vegetables with (bacon/ha*), (st./jr.)
   214 chicken and noodles, (st./jr.)
  214 chicken and noodles, (st./jr.)
   214 chicken and noodles, (st./jr.)
   214 chicken and noodles, (st./jr.)
   214 chicken and noodles, (st./jr.)
   215 tonatoes,  beef and aacaroni, (st./jr.)
   215 totatoes,  beef and macaroni, (st./jr.)
   215 towatoes,  beef and nacaroni, (st./jr.)
 CRTEBORY

   water
other grain
   water
   other
   water
   other
   water
   other
   dairy
 dairy fat
  veg oil
   other
   dairy
 dairy fat
  veg oil
   dairy
   wheat
 dairy fat
    beef
 beef  fat
    pork
 pork  fat
   poultry
 poultry  fat
   poultry
  root  veg
 legume veg
 poultry fat
    beef
  root veg
 legume veg
  beef fat
    pork
  root veg
 leguae veg
  pork fat
 legume veg
  root veg
    beef
  beef fat
  root veg
 legume veg
    poultry
 poultry fat
  root veg
  leguvs  veg
     pork
   pork fat
     water
     wheat
    poultry
      egg
  poultry fat
     water
 garden fruit
     wheat

    Al-12
            COMMENTS


hoptbarley-derived alcoholisolids

 grape-derived alcohol & solids

        alcohol & solids

         sugars, syrups



          sugar, syrups
                                                                                                              FRflCT    * DM
             strained

             strained

         strained, chicken


              carrot
            peas, beans

             strained
              carrot
            peas, beans

             strained
              carrot
             peas,  beans
               carrot
              strained

               carrot
             peas,  beans
          turkey,  strained

               carrot
             peas,  beans

           bacon,  strained
              strained
               toraato
0.92
0.08
0.86
0.14
0.67
0.33
1.00
0.32
0.31
0.19
0.18
0.32
0.31
0.19
0.18
0.78
0.18
0.04
0.%
0.04
0.94
0.06
0.92
0.08
0.40
0.28
0.28
0.04
0.39
0.29
0.28
0.04
0.41
0.28
0.27
0.04
0.40
0.40
0.18
0.02
0.40
0.40
0.18
0.02
0.37
0.37
0.24
0.0£
0.60
0.30
0.07
0.02
0.01
0.50
0.27
0.11
0.00
1.00
0.00
1.00
0.00
1.00
0.00
0.99
0.08
1.00
1.00
0.39
0.08
1.00
1.00
0.06
0.92
1.00
0.16
1.00
0.18
1.00
0.16
1.00
0.16
0.14
0.09
1.00
0.13
0.14
0.09
1.00
0.14
0.14
0.09
1.00
0.09
0.14
0.06
1.00
0.14
0.09
0.04
1.00
0.14
0.09
0.10
1.00
0.00
0.30
0.19
0.25
1.00
0.00
0.10
0.88

-------
                                                              Table fti-1
ITEM                        ITEM NflME                          CATE60RY
NUM.
 £15 tomatoes, beef and macaroni,  (st./jr.)                      beef
 215 tomatoes, beef and macaroni,  (st./jr.)                       egg
 215 tomatoes, beef and Macaroni,  (st./jr.)                    beef fat
 216 turkey and rice, (st. /jr.)                                  rice
 £16 turkey and rice, (st./jr.)                                 poultry
 S16 turkey and rice, (st./jr.)                               poultry fat
 217 oatmeal with applesauce and bananas,  (st./jr.)              Hater
 217 oatmeal with applesauce and bananas,  (st./jr.)              other
 217 oatmeal with applesauce and bananas,  (st./jr.)              oats
 SIB carrots,  (st./jr.)                                         root  veg
 219 green beans, (st./jr.)                                   legume veg
 220 mixed vegetables/garden vegetables,  (st./jr.)             leafy veg
 221 sweet potatoes/yellow squash, (st./jr.)                   .potato
 222 corn, creamed,  (st./jr.)                                    wheat
 223 peas, (st./jr.)                                          legume veg
 224 spinach,  creamed, (st./jr.)                               leafy veg
 225 applesauce/applesauce with other fruit,  (st./jr.)           other
 226 peaches,  (st./jr.)                                           other
 227 pear/pear and pineapple, (st./jr.)                          other
 22B bananas and pineapple with tapioca,  (st./jr.)               water
 228 bananas and pineapple with tapioca,  (st./jr.)               other
 228 bananas and pineapple with tapioca,  (st./jr.)               wheat
 229 prunes/piurns with tapioca,  (st./jr.)                        water
 229 prunes/plufiis with tapioca,  (st./jr.)                        other
 229 prunes/plums with tapioca,  (st./jr.)                        wheat
 230 apple/apple chery/apple grape juice, strained               other
 231 orange/orange pineapple juice, strained                     other
 238 pudding/custard,  any flavor,  (st./jr.)                      water
 232 pudding/custard,  any flavor,  (st./jr.)                      other
 232 pudding/custard,  any flavor,  (st./jr.)                      rice
 232 pudding/custard,  any flavor,  (st./jr.)                      corn
 232 pudding/custard,  any flavor,  (st./jr.)                     dairy
 232 pudding/custard,  any flavor,  (st./jr.)                   dairy fat
 232 pudding/custard,  any flavor,  (st./jr.)                      egg
 233 fruit dessert with  tapioca,  any fruit, (st./jr.)            water
 233 fruit dessert with  tapioca,  any fruit, (st./jr.)           other
 233 fruit dessert with  tapioca,  any fruit, (st./jr.)           wheat
 234 dutch apple/apple betty,  (st./jr.)                          water
 234 dutch apple/apple betty,  (st./jr.)                          other
 234 dutch apple/apple betty,  (st./jr.)                          other
 234 dutch apple/apple betty,  (st./jr.)                          wheat
        COMMENTS

        strained



        strained


fruits; apples & bananas

        strained
        strained
        strained
  sweet potato strained
        strained
        strained
        strained
        strained
        strained
        strained

        strained


     strained prunes

     strained apples
    strained oranges

          sugar
       rice starch
       corn starch
    non-fat dry Bilk
       heavy creais
        egg yolk

    fruit,  aggregate
          sugar
          apple
FRftCT
0.08
0.02
0.02
o.eo
0.18
0.02
0.53
0.29
0.13
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
0.47
0.32
0.21
0.47
0.32
0.21
1.00
1.00
0.74
0.16
0.03
0.03
0.02
0.01
0.01
0.47
0.32
0.21
0.47
0.29
0.20
0.04
0.15
0.25
1.00
0.17
0.19
1.00
0.00
0.20
o.aa
O.Ofi
0.08
0,10
0.15
0.16
0.13
0.10
0.11
0.20
0.12
0.00
0.10
0.88
0.00
0.10
0.88
0.12
0.12
0.00
0.99
0.89
0.89
0.99
1.00
0.45
0.00
0.10
0.88
0.00
0.99
0.12
0.88
                                                              Al-13

-------
                                TABLE Al-2*



              Reanalysis of  FDA Revised Total  Diet  Food  List:

    Category Totals as Both  Wet Weight and Dry Weight  (and the Ratio of

        Wet:Dry  Weights)  for Each  Food Group,  for All Age/Sex Groups
*Refer  to the  text of  Section  4.1.4.  for discussion  of the  purposes  and
 methods for this reanalysis.
                                      Al-14

-------
                                                  Table fll-2
CATEGORY
TOTflLS
wheat
corn
rice
oats
other grain
ootato
leafy veg
legume veg
root veg
garden fruit
peanuts
mushrooa
veg oil
beef
beef fat
beef liver
beef liver fat
lanta
laao fat
pork
pork fat
poultry
poultry fat
fish
dairy
dairy fat
egg
other
water*
6-11 MO.
WET HT.
42.6161
8.7010
8.2406
14.6805
0.0118
18.3803
8.6480
32.3465
24.8507
4.9824
0.3422
0.0032
27.7791
19.8554
2.4448
0.4503
0.0455
0.4097
0.1443
6.8858
2.0059
12.1365
1.0957
1.2922
485.8973
39.0454
12.4660
245.2675
242.6946
6-11 MO.
DRY HT.
27.6020
3.9986
2.2249
3.7298
0.0106
5.6673
0.8380
3.8094
3.0400
0.6650
0.3363
0.0001
27.6209
3.9890
2.4448
0.1666
0.0455
0.1393
0.1443
1.3382
2.0059
2.2693
1.0957
0.3387
40.6970
38.9867
3.2709
78.8062
0.0000
6-11 MO.
D/U RATIO
0.6477
0.4596
0.2700
0.2541
0.89%
0.3083
0.0969
0.1178
0.1223
0.1335
0.9828
0.0400
0.9943
0.2009
1.0000
0.3700
1.0000
0.3400
1.0000
0. 1943
1.0000
0.1870
1.0000
0.2621
0.0838
0.9985
0.2624
0.3213
0.0000
2 YR.
WET ML
57. 1387
27.6014
14. 1732
13.3744
0.0870
30.7320
7.2183
20.1335
5. 1002
15.9343
2.2475
0.1321
18.3807
31.3435
6.4794
0.6488
0.0656
0.2258
0.0795
12.6143
8.1900
11.9110
0.8319
4.4368
374.3778
16.6786
25.3146
264. 1923
535.4675
2 YR.
DRY WT.
42.2344
15.3541
4.5845
2.6502
0.0771
10.0335
0.4854
4.5571
0.6678
1.6690
2.2082
0.0127
17.6867
9.6621
6.4794
0.2401
0.0656
0.0768
0.0795
4.2907
8.1900
3.7573
0.8319
1.2005
32.9356
16.4844
6.9135
67.7638
0.0000
2 YR.
D/W RATIO
0.7392
0.5563
0.3235
0. 1982
0.8863
0.3265
0.0672
0.2263
0.1309
0.1047
0.9825
0.0963
0.9622
0.3083
1.0000
0.3700
1.0000
0.3400
1.0000
0.3401
1.0000
0.3155
1.0000
0.2706
0.0880
0.9884
0.2731
0.2565
0.0000
14-16 F
WET WT.
86.8392
34.2138
17.4356
3.9988
0.1154
47.0903
21. 1097
28.0241
8.7326
28.8519
1.8143
0.5637
31.5384
52.4039
12.5395
0.7476
0.0756
0.1818
0.0640
20. 1434
10.2186
18.8920
1.2237
9.4185
380.8075
18.9735
22.8215
318.1710
779.6691
14-16 F
DRY WT.
61.5025
18.5795
5.1368
1.0994
0.1022
15.9724
1.1341
6.3902
1.3125
3.0740
1.7821
0.0551
30.2176
16.6613
12.5395
0.2766
0.0756
0.0618
0.0640
7.4094
10. 2186
6.3271
1.2237
2.5395
34.0111
18.7030
6.0974
85.1162
0.0000
14-16 F
D/W RftTIO
0.7082
0.5430
0.2946
0.2749
0.8859
0.3392
0.0537
0.2280
0.1503
0.1065
0.9823
0.0978
0.9581
0.3179
1.0000
0.3700
1.0000
0.3400
1.0000
0.3678
1.0000
0.3349
1.0000
0.2696
0.0893
0.9857
0.2672
0.2675
0.0000
tNote:  "Mater"includes drinking water plus »uch of the water used in food oreparation, including sow
 cowaercially prepared foods.  It would not be appropriate to use this category to represent  drinking
 water  consumption.  See Table fll-1.
                                                  AT-15

-------
                                                Table ftl-2
CATESORY
TGTfttS
wheat
com
net
oats
other grain
potato
leafy veg
le|u»e veg
root veg
garoen fruit
ptanuts
misnrooH
veg oil
beef
beef fat
btfif liver
beef liver fat
laab
la«b fat
pork
pork fat
poaltry
poultry fat
fish
dairy
dairy fat
egg
other
water*
14-16 M
HETHT.
127.8282
46.4169
31.0633
8.0278
1.3764
62.1648
22.2507
45.9605
11.2979
37.0112
4.1163
0.3392
46.2229
82.5122
19.8966
1.1793
0.1193
0.1292
0.0455
29.5501
15.2742
22.7704
1.5970
10.2308
602.8343
30.5399
33.1420
400.4057
993.3826
14-16 M 14-16 M
DRY WT. D/W RflTIO
97.2110
27.8431
6.6381
2.6740
1.3660
22.8305
1.2970
10.5176
2.1398
3.8632
4.0428
0.0320
44.5719
26.5872
19.8966
0.4363
0.1193
0.0439
0.0455
10.3101
15.2742
7.7314
1.5970
2.6764
53.0223
30.1483
8.9355
127.2669
0.0000
0.7605
0.5751
0.3152
0.3331
0.9924
0.3673
0.0583
0.2288
0.1894
0.1044
0.9822
0.0945
0.9643
0.3222
1.0000
0.3700
1.0000
0.3400
1.0000
0.3489
1.0000
0.3395
1.0000
0.2616
0.0880
0.9872
0.26%
0.3178
0.0000
25-30 F
WET WT.
70.5907
25.7594
16.4460
4.9716
2.8809
41.8649
39.3291
33.2367
10.8595
T^B C^HfO
1.5687
1.3972
31.8582
57.5594
13.8234
3.3268
0.3364
0.9755
0.3435
19.4106
9.7095
18.9332
1.2416
13.2610
227.7170
15.5539
25.6873
684.4461
760.7679
25-30 F 25-30 F
DRY WT. D/W RflTIO
52.8166
13.8710
4.7765
1.0900
2.8673
13.2108
2.1703
7.8752
1.5157
4.1004
1.5396
0. 1374
29.7018
17.3708
13.8234
1.2309
0.3364
0.3317
0.3435
7.0893
9.7095
6.1537
1.2416
3.15013
22.5046
15. 1627
6.6567
80.S683
0.0000
0.7482
0.5385
0.2904
0.2192
0.9953
0.3156
0.0552
0.2369
0.13%
0.0927
0.9815
0.0984
0.9323
0.3018
1.0000
0.3700
1.0000
0.3400
1.0000
0.3652
1.0000
0.3250
1.0000
0.2640
0.0988
0.9748
0.2591
0.1182
0.0000
25-30 M
WET HT.
103.6207
38.1493
23.6111
3.4860
24.04%
68.2186
38.9558
50.2608
13.7585
53.8377
3.3780
1.3821
47.0562
100.8595
26.9786
2.4902
0.2518
0.7647
0.2693
38.1256
19.2524
26.9727
1.8352
18.0740
328.6258
23.3098
38.9586
770.1192
1211.2006
25-30 « 25-30 M
DRY WT. D/W RflTIO
78.5058
21.7827
6.7825
1.5519
24.0360
21.3447
2.1527
11.7527
2.02%
5.4053
3.3153
0.1355
44.7022
29.1939
26.9786
0.9214
0.2518
0.2600
0.2693
13.4471
19.2524
9.1333
1.8352
4.6697
32.5447
22.7856
10.0347
105.5348
0.0000
0.7576
0.5710
0.2873
0.4452
0.9994
0.3129
0.0553
0.2338
0. 1475
0.1004
0.9814
0.0980
0.9500
0.2895
1.0000
0.3700
1.0000
0.3400
1.0000
0.3527
1.0000
0.3386
1.0000
0.2584
0.0990
0.9775
0.2576
0.1370
0.0000
                        i**   r
«*»ercially prepared foods.  It would not be appropriate to use this category to represent drinking
water consumption.  See Table fll-1.
                                                   Al-16

-------
                                                   Table fll-2
    CftTESORY
     TOTflLS
60-65 F
WET WT.
60-65 F
DRY WT.
 60-65 F
D/W RflTIO
                   60-65 H
                   WET WT.
                                        60-65 M
                                        DRY WT.
                                                                  60-65 «
                                                                 D/W RftTIO
wheat
com
rice
oats
other grain
potato
leafy veg
leguie veg
root veg
garden fruit
peanuts
Bushrooi
veg oil
beef
beef fat
beef liver
beef liver fat
laib
lamb fat
pork
pork fat
poultry
poultry fat
fish
59.7653
24.6186
13.2143
10.6708
0.8650
40.9355
45.4374
39.3826
12.2724
53.3809
1.3649
0.5252
25.3996
44.7308
10.7518
2.6050
0.2634
0.6205
0.2185
20.4924
9.95%
19.5823
1.2157
13.9818
45.8331
12.3873
4.0244
1.8611
0.8504
12.0376
2.7815
8.1826
1.5110
4.5935
1.3398
0.0508
23.7050
14. 1238
10.7518
0.9639
0.2634
0.2110
0.2185
7.5549
9.9596
6.2793
1.2157
2.6293
0.7669
0.5032
0.3045
0.1744
0.9831
0.2941
0.0612
0.2078
0.1231
0.0861
0.9817
0.0967
0.9333
0.3158
1.0000
0.3700
1.0000
0.3400
1.0000
0.3687
1.0000
0.3207
1.0000
0.2595
83.7464
34.4089
14.9052
13.9961
7.9789
58.6095
43.2402
50.6034
14.5643
56.5952
2.5269
0.7220
33.9531
71.4865
17.3979
3.8991
0.3943
0.6276
0.2210
32.2836
16.1116
22.9363
1.3982
16. 1610
64.4170
17.2590
4.3960
2.1391
7.9668
17.5425
2.5232
10.8195
1.7705
5.1207
2.4798
0.0705
31.9650
22.5623
17.3979
1.4427
0.3943
0.2134
0.2210
12.3284
16.1116
7.4611
1.3982
4.1075
0.7692
0.5016
0.2949
0.1528
0.9985
0.2993
0.0584
0.2138
0. 1216
0.0905
0.9814
0.0976
0.9414
0.3156
1.0000
0.3700
i.OOOO
0.3400
1.0000
0.3819
I.OOOO
0.3253
i.OOOO
0.2542
dairy
dairy fat
egg

other
water*
197.4623
 12.6655
 28.2007

858.2119
718.0376
19.3580
12.2980
 7.1952

78.6520
 0.0000
           0.0980  254.7795
           0.9710   17.2528
           0.2551   44.6082
  0.0916
  0.0000
                   890.3108
                   876.8671
                                        25.4705
                                        16.7264
                                        1 1.4666

                                        94.0083
                                         0.0000
                                                                   0.0962
                                                                   0.9695
                                                                   0.2571

                                                                   0.1056
                                                                   0.0000
*Note: "Hater'includes drinking  water plus much of the water used in food preparation.includinc some
 coBwrcially prepared foods.  It would not be appropriate to use this category to rearesent arinkine
 Hater consumption.   See Table ftl-1.
                                           Al-17

-------
                                TABLE Al-3*

              Reanalysls of FDA Revised Total Diet Food List:
         Consumption Data  (g/day)  as  Both  Wet Weight  and Dry Weight
        for  Each Component of Each Food Item,  for All Age/Sex Groups
          Sorted by Food Category  to  Permit Summing of  Categories.

               Part A - Crops
               Part B - Meat,  Dairy and  Other (Including Fruit)
*Refer  to the  text of  Section 4.1.4.  for discussion  of the  purposes  and
 methods for this reanalysis.
                                     Al-18

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              APPENDIX 2
PARAMETER GUIDANCE FOR USLE PARAMETERS
                A2-1

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    Soil  losses  that  are due  to  runoff  of  precipitation (sheet  and  rill
erosion)  can  be predicted  for a  given  site  using  the Universal  Soil  Loss
Equation  (USLE)  (Wischmeier  and Smith, 1978).  This  empirical  equation  uses
site-specific values for  the various input parameters of interrelated physi-
cal factors and  soil  management practices.  Tables and maps are provided for
use  in  selecting site-specific values for these  factors.   Useful procedures
for  the estimation of  USLE  parameters  for  agricultural  and nonagricultural
conditions  can  be  found  in Mills  et al.  (1982)  and Wischmeier  and Smith
(1978).
    The USLE defines loss as follows:
                           L=RxKxLSxCxP                      (A2-1)
where:
        L s computed average annual  soil  loss  (tons/acre/year)
        R « rainfall erosion  index  (year"1)
        K » soil  credibility  factor (tons/acre per  unit of rainfall
             factor, R)  .
        LS - topographic  factor (dimensionless)
        C - cover and  management factor (dimensionless)
        p ~ support practice  factor (dimensionless)
     L,  the  average annual  soil  loss  per unit  area,  represents an  average
 annual  value  and  is  obtained  by  multiplying the  rainfall  erosion  index,
 which  provides  estimated soil losses  from  rainfall and  runoff for a  geo-
 graphic  area,  by a series  of ratios.  These  ratios  represent  the  relation-
 ship of  actual  parameters  to  those observed  in test  soils  and standardized
 agricultural  plots.
     The  rainfall  erosion index,  R, expresses erosion potential  for average
 annual rainfall  at a  location.   A  map  of  average  R values for  the United
 States,  based  on  over 30 years of measurements,  is provided in Figure A2-1.
                                     A2-2

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Interpolation  between  contour lines  is  necessary  for  many  areas  of  the
country.
    Values  for  K,  the  soil  erodibility  factor,  have been  experimentally
determined  for  a number  of  benchmark  soils at erosion research  stations  in
the United  States.  Average  values  of  K, based on a range of soil types,  are
provided  in Tables A2-1  and  A2-2.   The soil  erodibility for a  particular
site can  be approximated  by  using the K value  corresponding to the predomi-
nant soil  type.  Average values  for basic  soil types are  provided  in  Table
A2-1.   More  specific  values  are  available  in  Table A2-2,  assuming  soil
organic content is known or estimated.
    LS,  the topographic  factor,  combines  the effect  of  slope  length  and
steepness.  Values for  the area  under consideration can be determined  using
 the average percent  slope and slope length in feet.  A listing  of LS values
 for slopes of  varying  gradient and   lengths  is  provided in  Table  A2-3.
 Interpolation  between listed values may  be  necessary.
     The cover and management  factor, C,  is most significant on  agricultural
 land   where  it is  a  function   of  vegetative  cover,  crop  sequence,  crop
 rotation,  and   tilling  practices.   Wischmeier   and   Smith  (1978)  provide
 guidelines for determining  C  values  for construction sites, pasture, range,
 idle land  and  forested areas.  A list  of  C factors for the five  management
 practices are provided in Table  A2-4.   In  all cases,  the  factors  given were
 chosen to  be  conservative.    The actual  value would  depend on  many factors
 such as  vegetation  type, percent cover,  percent canopy,  plowing  practices,
 rotation  practiced,  time of  year,  fertility level,  etc.   The  greater  the
 erodibility of  the  soil, the higher  the  C factor that  should  be used.   A
 thorough discussion  of the  selection of the C factor  is  given  in  Wischmeier
 and Smith (1978).
                                    A2-4

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                   ..•  .   •...-.,.      TABLE  A2-1  .  •  ..   .        ,;

              Average;Values for the Soil Erodibility Factor K,
                   for Soils on Erosion Research Stations*
                    Average Soil Type
,  K Value
(tons/acre)
                  ,  Silt loam
                    Loam
                   , Sandy clay  loam

                    Silty clay  loam
                    Clay
                  -. Clay loam

                  - Fine.sandy  loam

                    Loamy .sand     ,
                    Flaggy silt loam

                    Gravelly loam
    0.4



    0.3


    0.2


    0.1

    0.1
*Source- Wischmeier and Smith, 1978
                                   A2-5

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                                TABLE A2-2

            General Magnitude  of the Soil/Erodibility  Factor, K,
                when  Organic  Content Data are Availablea.b
Texture Class
Sand
Fine sand
Very fine sand
Loamy sand
Loamy fine sand
Loamy very fine sand
Sandy loam
Fine sandy loam
Very fine sandy loam
Loam
S1lt loam
Silt
Sandy clay loam
Clay loam
SUty clay loam
Sandy clay
Silty clay
Clay

0.5%
0.05
0.16
0.42
0.12
0.24
0.44
0.27
0.35
0.47
0.38
0.48
0.60
0.27
0.28
0.37
0.14
0.25

Organic Matter Content
2%
0.03
0.14
0.36
0.10
0.20
0.38
0.24
0.30
0.41
0.34
0.42
0.52
0.25
0.25
0.32
0.13
0.23
0.13-0.29

4%
0.02
0.10
0.28
0.08
0.16
0.30
0.19
0.24
0.33
0.29
0.33
0.42
0.21
0.21
0.26
0.12
0.19

aSource: Carsel et al., 1984

bThe values  shown are  estimated  averages of  broad  ranges of  specific-soil
 values.  When a  texture  is near the borderline  of  two texture classes,  use
 the average of  the two  K values.  For  specific  soils, Soil  Conservation
 Service K-value tables will provide much greater accuracy.
                                    A2-6

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-------
                                 TABLE A2-4
                C Factors for the Five Management Practices*
                          Practice
C Factor
                 Land reclamation
                 Agricultural
                 Dedicated disposal
                 Forest application
                 Distribution and marketing
  0.6
  0.5
  1.0
  0.6
  0.4
*Source: Wischmeier and Smith, 1978
                                   A2-8

-------
    The support  practice  factor,  P, is also  dependent  on agricultural tech-
niques, and  is  a function  of such practices  as contouring  and terracing.
Because there  is no  counterpart  of P on  natural  land,  horticultural areas,
or construction sites, the value of P has been set at 1.

REFERENCES FOR APPENDIX 2

Carsel,  R.F.,   C.N.  Smith,  L.A.  Mulkey,  J.D.  Dean  and  P.  Jowise.   1984.
User's  Manual   for   the   pesticide  root  zone  model   (PRZM),  release  I,
EPA/600/3-84-109.   Prepared  by Environmental  Research  Laboratory,  Athens,
6A.  U.S.  EPA,  Washington, DC.

Mills,  W.B.,  J.D.   Dean,  D.B.  Porcella,  et  al.    1982.   Water  Quality
Assessment:  A  Screening  Procedure  for  Toxic  and Conventional  Pollutants.
Part 1.  EPA-600/6-82-004a.  U.S.  EPA,  Athens, GA.

Wischmeier, W.H.  and  D.D. Smith.   1978.   Predicting  Rainfall  Erosion Losses
--  A  Guide  to  Conservation  and  Planning.    USDA Handbook,  No. 537,  U.S.
Department of Agriculture.
                                    A2-9

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        APPENDIX 3








  RAINFALL DEPTHS FOR THE



5-YEAR RECURRENCE INTERVAL



  FOR STORM DURATIONS OF



  30 MINUTES TO 24 HOURS







Source:  HERSCHFIELD, 1961
            A3-1

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A3-2

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A3-3

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A3-4

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A3-5

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                                     ^J  R
A3-6

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A3-8

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                       APPENDIX 4








PROCEDURE FOR INCORPORATING SITE-SPECIFIC CONSIDERATIONS



              IN RECEIVING WATER ANALYSES
                         A4-1

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    As noted In  Chapter  6,  the procedure for selecting best management prac-
tices and regulatory  limits  is based on complete dilution of the contaminant
load  into  the   volumetric  flow  during  the  period  of  interest.   However,
applicants  may  feel  that  site-specific  features  will  provide  sufficient
mitigation  to  warrant  direct consideration.   The  following  procedure  is
provided for those occasions.
A4.1.  ASSUMPTIONS IN RECEIVING WATER PROCEDURE
    This  section  describes  assumptions  that  simplify  the  system  (i.e.,
geometry)  in order  to  obtain  analytic  solutions and  assumptions  regarding
the  processes  and their  parameterization.   When  appropriate, the  effect of
the  assumption on  the results  is discussed.  Major assumptions and ramifica-
tions are also included in Table A4-1.
A4.1.1.  Streams.   Stream  geometry  is  simplified  to  accomodate  use  of
analytic  solutions.   In the  analysis,  the  stream channel   is assumed to be
uniform  along  the channel.   This is a common  assumption for river reaches.
Where it is  not  valid, average  values may be used.
     Streamflow is  assumed  constant for event loadings and equals the average
flow computed  from  the  streamflow  hydrograph.   If  the user  is  in doubt
regarding  the  appropriate  value  of flow  to  use,  lower estimates  of flow
reduce  dilution  and  therefore  lead  to  more  conservative  results   (i.e.,
higher  concentrations).   Tributary  inflows  are  also  neglected,  resulting,
for  the same  reason,  in more  conservative  results.   Water depth  is  assumed
constant.   Because settling  is an  important  removal  process that is  depth-
dependent,  when  in doubt it  is  preferable to choose a  larger depth.
     Loading rate is  assumed constant for the  long-term analysis.   For event
loadings,  only the total load  is  important and this should  be  overestimated
                                    A4-2

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                                  TABLE A4-1

               Key Assumptions in Receiving Water Methodologies
   Functional  Area
    Assumption
                                                        Ramification
 All  receiving waters
   (downstream area)

 Streams

   Near Field
   (source  area)
Estuary
Lake
 No transformation
 (decay)  processes
 Complete  mixing
For constant
loading and event
cases  (1, 2), bed
concentration is
constant and equal
to loading concen-
tration.

Vertically and
laterally well
mixed

Steady state
(tidal average)

Constant chemical
concentration in
bed
                        Completely mixed
 Overpredicts to extent that
 transformations are important.
 Underpredicts water column con-
 centration to extent that com-
 plete mixing is not achieved.

 Overpredicts water column
 concentration to extent  that
 contaminant settles to bed.

 Overpredicts water column con-
 centration because assumption
 maximizes  bed concentration
 that  acts  as a source of
 contaminant to the water.
Underpredicts water column
concentrations, especially near
the  loading.

Underpredicts instantaneous
water column concentrations.

Tends to overpredict water
column concentrations because
it maximizes bed chemical con-
centrations and transport from
bed to water column.

Underpredicts water column
concentrations to extent that
vertical and/or lateral varia-
tions in water quality exist.
                                   A4-3

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1f In  doubt.   The  runoff  flow is  assumed  small relative to  the  streamflow
and  is  neglected  in  estimating  dilution.   This  assumption  is  therefore
conservative.
    Upstream  sources  are  neglected because  there is  no convenient way  to
estimate  upstream  concentrations.   Therefore,  the  results  of the  analysis
are best  viewed  as relative to background or upstream values.  The effect of
upstream  sources can be taken  into account in  an arbitrary  way  by reducing
the criteria  level.
    Complete  and instantaneous vertical and lateral  mixing  is assumed. This
is most  appropriate to relatively  narrow and  shallow streams.  Equations to
predict  the  length of  channel (and therefore  the time)  required  to achieve
complete  vertical  and  lateral  mixing  for a  bank   discharge are  given  in
Fischer  et  al.  (1979).  Complete vertical  mixing  is  often valid except very
near  the source,  however,  complete lateral mixing   in wide  rivers may take
days,  during  which other processes  may greatly reduce the amount of chemical
in  the  river.   If this  is  the  case, the  user should  select  an analytic
"plume model,"  which  describes  downstream advection and lateral dispersion
in  rivers (Fischer et al.,  1979).
    The   adsorption/desorption  process  is  assumed to  achieve instantaneous
equilibrium.   That equilibrium is  described by the linear isotherm  where  the
proportionality constant is the  distribution  coefficient.   The ramifications
 of this  model have been previously discussed.
     Settling   is  estimated  using  Stokes1  Law.   The particle  size  distribution
 is characterized  by  the median  grain  size.   It is  conservative to select  a
 smaller median grain size.  Hindered settling  and flocculation are neglected.
     Conditions  in  the  bed  are assumed to be uniform except for a thin  diffu-
 sive  sublayer adjacent  to the interface.  Moreover,  the concentration  in the
                                     A4-4

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  bed  Is  specified  a priori  and  is unaffected  by settling, resuspension, or
  dissolved  transport.   (The  one  exception   is  Streams,  Case  3  where  bed
  concentrations  decrease   because  of  dissolved  transport  into   the  water
  column.)   This  assumption   is  made  to  obtain  an  analytic  solution,  is
  obviously  invalid  in the prototype,  and violates mass conservation of chemi-
  cal.   The  assumption is mitigated in that the  bed  concentration is selected
  to  yield  conservative  (i.e., higher) estimates  of water  column concentra-
  tions.   The  bed is  also assumed  to  be  stationary,   i.e., there  is  no allow-
  ance for bed  load  transport.  The boundary between  the  water  column and  the
  bed is  assumed  to  be distinct, i.e., there is  no provision for a flocculant
  layer.   Dissolved transport  across the  bed-water interface is assumed to  be
  limited by resistance in the bed layer rather than  in the  water column.   If
 particulate  transport   from   the  bed  is  considered,  the  procedure  uses a
 resuspension  velocity approach.
 A4.1.2.  Estuaries.   A  principal  assumption   in  the  analysis  is  that  the
 estuary can be assumed  to  be one-dimensional,  i.e.,  vertically and  laterally
 well  mixed.  In particular,  vertical  stratification, which  inhibits vertical
 mixing,   is  often  found in   estuaries.   Estuaries   are  classified  as  well
 mixed,   partially  stratified,  or stratified  (salt   wedge).   The degree  of
 stratification  depends on the effect of freshwater inflow at the head of the
 estuary compared with turbulent  mixing  created by  tidal and  other forces.
 Since these factors vary temporally and spatially, stratification does also.
    Estuaries  are  often  complex  topographically,   and  may  include  such
 features as multiple  channels, islands,  and bays.   Moreover, the width of  an
 estuary  may vary significantly.   Thus,  the assumption  of uniform  width  is
 unlikely  to be  satisfied  in the  general  case,  though  it  may  be a good
approximation  for estuaries which are  the  result of drowned river  valleys,
or for sloughs.
                                    A4-5

-------
    In the model,  the  system is approximated as steady state by representing
tidal average  conditions.   This  means  that velocity and  water depth varia-
tions caused  by tidal  motion  are neglected and the  solution  represents the
average  concentration  that would  be estimated from  the  actual time varying
concentrations  over  a  tidal  cycle.  Tidal effects on dispersion are incorpo-
rated  implicitly  in  the  selection  of  the dispersion  coefficient (assumed
constant)  which in  turn  may  be  estimated from  the  longitudinal  salinity
gradient.  The  theoretical basis of a constant dispersion coefficient repre-
senting  tidal  average  conditions is questioned by  Fischer et al.  (1979) who
concluded  that  the  tidal  average  advective-diffusion  equation  should  be
considered empirical.
     In  conclusion, the  tidal  average one-dimensional  model is a  relatively
simple  analytical  tool that can,  under  proper circumstances,  provide useful
estimates,  especially if  inputs  are selected  to yield conservative  results.
Nonetheless,  for  many situations where an estuary  is complex  topographic-
ally,  or  stratified,   the method is  not appropriate  and  a simple  analytic
 solution is  unavailable.
 A4.1.3.   Lakes.  The  principal  assumption involved  in the  lakes  methodology
 is  that  the  system is  completely  mixed.   This  assumption is generally  not
 valid  when  the  lake  becomes  vertically stratified  (usually  a  seasonal
 phenomenon)   or if  the lake  is  elongated  (i.e.,  "run   of  the  river"  type
 impoundments)  and  exhibits  longitudinal  variations in  water quality.   In
 some instances  it may be  warranted to consider only a portion of the lake as
 well-mixed.   Guidance  for  such   a  decision  is  provided by viewing  the
 vertical  temperature  profiles  and tracking  the  development  and  vertical
 migration of the thermocline.
                                     A4-6

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  A4.2.   RECEIVING WATER METHODOLOGY  -
  A4.2.1.   Loading  Types.    Analytic  methods  (following the work  of O'Connor
  and  Mueller,  1981)  are presented for estimating concentrations of solids and
  chemicals  in  streams,  lakes and estuaries caused  by runoff and erosion from
  sludge  land  application  areas.  While storms'are  event occurrences, cumula-
  tive chronic  effects  on  human health and aquatic life are important.  In the
  context  of analytic methods,  such  effects can be  estimated  assuming  a  con-
  stant mean loading  rate  (total mass of  chemical  released  into the receiving
 water divided by  the period  over which  the  chemical  was  released).   For
  lakes and estuaries,  where mean  residence   times  are  large compared  with
 streams,  and  accumulation  of  contaminants are of  primary  concern,  constant
 loading   is assumed.   In  streams,  three  cases  may  be considered:   constant
 loading, event loading and  event  loading on  large  rivers where streamflow is
 high and unaffected  by the  storm event.
 A4.2.2.   Governing   Equations   and   Their Solution.   The  set  of  equations
 governing  toxic  chemical   fate  in  receiving  waters  is  relatively  complex.
 Because   of  adsorption and  desorption,   the  chemical  transport  equation  is
 linked to the solids transport  equation.   In  principle, the solids transport
 equation is solved  first  and  the  solution is  then input  into the  chemical
 transport  equation.   Unfortunately,  analytic  solutions  to  the   chemical
 transport equation   are  usually  only  available  for cases  where  the solids
distribution  is  constant.   Thus,  it  is  common  to  approximate  the  solids
distribution as  a  constant  in  order to  proceed  to an analytic  solution  of
the  chemical   transport  equation.   Alternatives   that require  numerical
schemes are available and  discussed.
                                   A4-7

-------
    Where  the  bed  of  sediments  underlying  the water  column  serves  as  a
source of  solids  and  chemicals  (i.e., through  resuspension)  one obtains  a
coupled set of  equations  governing  the solids distribution and a coupled  set
of  equations  governing  the  chemical  distribution.   Coupled  differential
equations  can  be  solved  numerically,  but are  generally difficult to  solve
analytically.   To  obtain  analytic  solutions,  assumptions  are  sometimes
necessary to decouple the equations.
    The  methodology  described  below  emphasizes the  results  and  pertinent
assumptions.  Many  of the steps  used in developing and solving the governing
equations  subject to  initial and  boundary condition are  left  out.   Although
the exact  form  of the solutions may differ,  the interested reader may refer
to O'Connor  and Mueller (1981) to  gain an  appreciation  for the procedure by
which the governing equations are developed.
A4.2.3.  Nomenclature  and  Some  Basic  Relationships.   Figure  A4-1   shows  a
definition   sketch.    Variables   in  the  water  column  are  identified  by
subscript  1,  bed  variables by subscript  2.   For example,  the  water depth is
H ,  the  contaminated  bed  depth  is  H .   The  solids  loading,   if  continu-
ous,  is  E, which  has  units  of mass (M)  per unit time (T);  if the loading is
an  event  loading,  it  will be designated  EQ, which  has  units of mass  (M)
and  represents  the total  solids  mass entering  the  receiving  water over the
duration  of  the  event.  The  same  scheme is  used  for the  chemical  loading
designated  by  M  or M .  The  chemical  load is  the  sum  of the dissolved and
adsorbed contributions.
    The  concentration  of  the  solids  in  the  water column is  given  as m1
(M/L3)  and   in  the   bed   m2(M/L3).   M  is   unit   of  mass,  L  is   unit of
length  and  L3 is  unit  of volume.   These  are unspecified  general  units.
The bed solids  concentration is the bulk  density given by
                            =  B  (1 - e)
(M/L3)
(A4-1)
                                    A4-8

-------
H
                                      m
                                           m2VuAX
                                                                        L water


Contaminated
    Bed
   Layer
                                     -AX'

                                      (a)
       UH,CT1
                       PVAX  PgV«AX

                                                      fcT1 -  dCT1 - X~l
                                                    I  L     dx    J
                                       (b)
(Y) Water Column

^2) Contaminated bed layer
                            FIGURE A4-1

    Definition Sketch for Developing Governing  Equations  for
    Constant Loading into Stream:   (a) Solids,  (b) Chemicals
                               A4-9

-------
where
         B = density of solids    (M/L3)
         6 = porosity
The  concentration  of the  chemical  takes various  forms.   The dissolved con-
centration  is denoted  as  C  (M/L3),  the  adsorbed concentration  is  denoted
as r (M/H).  The distribution or partition coefficient kd is defined as
                       kd = r/C
                                         (M/M)/(M/L3)                   (A4-2)
The methodology  does  not  use  r to characterize the  adsorbed  concentration.
Rather,  it  uses  the  particulate  concentration  expressed as the mass  of  the
adsorbed chemical  divided by  the  total volume  containing  that mass.   This
term, denoted by P, has units of (M/L3) and is related to r as  follows:
                                   P = rm                              (A4-3)
where m is the density of solids in the sorption system.
    The  convenience of  using P derives from  its compatibility in  units with
the  dissolved  concentration C,  such  that the total  (dissolved  and particu-
late) concentration C  is given as
                          CT = C
                                   P         (M/L3)                     (A4-4)
Consequently,  the  governing  equation  for  CT  can  be  found  directly  by
adding  the corresponding equations  for P and C.   The solutions provided in
what  follows  are  in  terms  of  total  chemical concentration.   It  is an easy
matter  to  compute the dissolved and particulate concentrations from
                                                                       (A4-5)
                                                                       (A4-6)
                                  0 ' fd CT
                                  P = f  C
                                       P
 where f.  is the dissolved fraction
        d
 and  f   is  the  particulate  fraction
                             fp  -  
-------
and
                                 V
                                         =  '                           (A4-9)
     Figure A4-2  shows  how the  dissolved  and  adsorbed  fractions  vary  with
 kdm,  a convenient unitless  parameter to describe the partitioning.
     Transport  mechanisms   such   as   settling   are   expressed   as   m V
 (M/L2T)  where  V,.  is the  settling  velocity.   The  effect of  settling  and
 other transport processes are often  characterized  through  a  rate  coefficient
 as  follows:
                            Ksl ~ VHl     (1/T>                      (A4-10)
 where K$]   is  the  setting   rate  coefficient  (1/T).   A  similar approach  is
 followed   for   resuspension,  characterized   by   a   resuspension  velocity  V
 Transport  of   dissolved  chemical   between  the bed  and  water  column   is
 expressed  by  an engineering rate equation with  the rate  coefficient given  as
 Kb'(L/T).   The  methodology  often   uses  the  rate  coefficient  K '  divided
                                                                   b
 by  the  depth  denoted  by  Kb(l/T).   Resuspension  and   dissolved  transport
 across the bed  of contaminant from  the  streambed  are not  considered  in this
 analysis because  the  difficulty  of the calculation is   beyond  the  scope  of
 this  document.
    A  list of  commonly occurring  nomenclature  is  given in Table  A4-2  for
 easy  reference.
 A4.2.4.  Streams.
    A4.2.4.1.   CASES  CONSIDERED —  Two cases  were   considered  corresponding
to  those   time  scales that  were  felt to  be  potentially  important (Figure
A4-3).  Case  1  corresponds to the  constant mean loading equal  to the total
 loading from  the  various  events  divided   by  the  time  period  of  interest.
This  case  provides  an estimate  of  chronic  exposure levels.  Case  2  corre-
sponds to  the  period during  the rainfall/runoff  event.
                                  A4-11

-------
o.
<$•
    1.0 -
    0.8 -
    0.6 -
    0.4-
     0.2-
DISSOLVED FRACTION
                                     PARTICULATE FRACTION
                                             P/CT
       0.01
    0.1
 I           I          I
1.0        10.0        100.0
       NOTE: FIGURE IS FOR CONSTANT VALUE OF kd

       SOURCE: O'CONNER AND MUELLER, EDITORS
              MANHATTAN COLLEGE
              NOTES ON MODELING TOXIC SUBSTANCES
              1981
                       FIGURE A4-2

 Equilibrium Concentrations of Dissolved and Particulate
              Toxicant as a Function of K^m
                          A4-12

-------
A
C
C
D
E
E
H

K
Kb'
m
M
M
P
Q
r
U
V
V
B
6
WD
WS
x
                                 TABLE A4-2
             Selected Nomenclature for Receiving Water Analysis*
 area  of  bed  (L2)
 dissolved  chemical concentration  (M/L3)
 total chemical concentration  (M/L3)
 longitudinal dispersion coefficient  (L2/L)
 solids mass  loading  rate for  constant  loading  (M/T)
 solids mass  loading  for event loading  (M)
 water or bed depth (L)
 partition  or distribution coefficient  (L3/M)
 settling rate coefficient (1/T)
 resuspension rate coefficient (1/T)
 dissolved  exchange coefficient (1/T)
 transfer coefficient of dissolved  chemical between  water and bed
solids concentration (M/L3)
chemical mass loading (for constant loading) (M/T)
chemical mass loading (for event loading) (M)
particulate chemical concentration (M/L3)
flowrate (L3/T)
adsorbed chemical concentration (M/M)
current speed (L/T)
volume (L3)
settling velocity (L/T)
resuspension velocity (L/T)
sedimentation velocity (L/T)
solids density (M/L3)
porosity
watershed dilution
area of watershed (L2)
distance downstream (L)
*M, L, T, La and L*> denote unspecified units of mass,  length,  time,
 area and volume,  respectively.
                                    A4-13

-------
1
                                                                     TIME
CASE
1
2
3
PERIOD OF
INTEREST
DURING EVENT
FOLLOWING
EVENT
STREAM-
FLOW
MEAN
HIGH
LOW
SOURCE
EROSION
RUNOFF/
EROSION
CONTAMINATE!
BOTTOM
                                                        SEDIMENTS
                                FIGURE A4-3



            Time Scales and Cases Considered in Stream Analysis
                                   A4-14

-------
    A4.2.4.2.  CONSTANT  LOADING  (CASE  1)  — Since  dispersion  effects  are
integrated away  for  steady transport problems, the transport equation may be
simplified to this equation:
                               dCjl
                                dx
where K. is a combined dilution/settling rate constant given by
                                    Ksi
                                                 (A4-11)

                                        + 1/WD
                                                 (A4-12)
K .  is  the  net  settling/resuspension  constant  from  equation A4-10  and  WD
is a dilution parameter that is characteristic of the watershed.
    Schematically,  the  watershed  is  represented  as  in  Figure A4-4.   The
stream contamination concentration is assumed to be diluted by the factor
                                   WS(o)
                                   WS(x)
                                                 (A4-13)
where  WS(x)  is  the  watershed  area  for  a  position  located  distance  x
downstream from the  SMA  boundary.   Equation A4-13 does  not  include settling
or resuspension effects.
    Letting D2 denote the watershed area at position x=0,
            D2 = WS(o)
equation A4-13 becomes:
                           D*
                                         a exp(-  ><_)
                                                  WD
                                                                      (A4-14)
                                                 (A4-15)
Solving equation A4-11  yields the solution:
CTi(x) = Cii(o) exp -
                                            si    1
                                               -i- —  x
                                            U    WD
(A4-16)
                                    A4-15

-------
                             WATERSHED BOUNDARY
       •D+X-
                                   T
                            	|
                 STREAM
                                               SMA
                                               WATERSHED AT
                                               SMA BOUNDARY,
                                         •     •

                                         I     I
-| WATERSHED FOR
  DISTANCE X
 . DOWNSTREAM
J FROM SMA
             FIGURE A4-4

Schematic Representation of Watershed
           (not to scale)
                A4-16

-------
    The  concentration boundary  conditions  at x=0,  based on complete mixing
of the discharge over the stream cross-section, are as follows:
         solids                m  = E/Q                               (A4-17)
         chemical              CTI   = M/Q                            (A4-18)
where  E  and  M are the solids and chemical loading rates  and Q is the stream-
flow.
    The  governing  equation  for solids in the water cblumn based on conserva-
tion of  mass applied to the differential element in Figure A4-1 is
                                     dm]
                            0 = -HiU
                                     dx
            Vs mi
                                         (A4-19)
Dividing by H  and rearranging,
U
dim
-
dx
                                     Ksl mi = 0
(A4-20)
the solution, subject to the boundary condition at x=0, is
                            m]  = mQ exp(-Ksl  x/U)                      (A4-2L)
    The  methodology  can be  used in a  tiered manner.  The Tier  1  result is
the well  mixed concentration  given by equation  A4-18.   If  the  receptor is
downstream,  the  Tier 2  result is  obtained  from equation  A4-16  with inputs
from  the  literature.   Site specific  inputs  can  be  obtained if  a Tier  3
analysis is warranted.
    A4.2.4.3.  EVENT  LOADING  (CASE 2)  — Figure A4-5  shows the  time changes
in  the  concentration  distribution resulting  from an  event  loading into  a
stream.    In  this  case,  it  is  assumed  that  the  total  mass of solids  and
chemical  is  initially completely  mixed  in  a  volume  of  water equal to  the
streamflow times  the  duration of  the event.   Subsequent to this  initial
mixing,   the   contaminated   volume  is  advected  downstream  where  settling,
resuspension, dissolved  transport across  the  bed,  and  longitudinal  disper-
sion  takes place.   For simplicity of  calculation  and  because  many of  the
                                   A4-17

-------
      J-l
          \
             \
        *.     /

      y

   P"

o I
 II J
*- I
 O
       o
        II
       .*•*


       op
                              CNJ

                              
^
4/7
                 A4-18

-------
 parameters  are  not  easily estimated,  resuspension and  dissolved  transport
 are not calculated  for  the event loading case,  just  as they were not calcu-
 lated for the long-term averaging case.
     The initial  mixed concentrations, estimated  assuming that the event load
 is completely mixed throughout the volume,  are as follows:
          So11ds             m0  = EO/VI                                  (A4-22)
          chemical           C     = M /V                                /&a  oi\
          	           Tl,o    o  1                               *      '
 where V   is  the  volume  of the  completely mixed  cell,  E   is  the mass  of
                                                            o
 all  solids  entering the  stream,  MQ  is  the mass  of  dissolved  phase plus
 adsorbed  contaminant entering the  stream  for the event case.  The  length  of
 the  cell  X is
                                   X = UAT                             (A4-24)
 where
          U  =  current speed
          AT  =  duration of  the  loading event

 The  governing  equations  for  the  solids  and  total  chemical  in  the water
 column are
     solids
2"! + u
at      ax
. D
                                        ax2
                                              Ksimi . 0
                                                   '
                                  (A4-25)
    chemical
                                                                      (A4-26)
where D is the longitudinal dispersion coefficient.
                                    A4-19

-------
    The  solutions  for  the  solids  and chemical  as  a  function  of x  and  t,
where x is the distance downstream and t is time, are shown below:
    solids
    chemical
where
                            m-|(x,t)  = m0 exp"
                          CTi(x,t) = CT1>0 exp
1C  ^. 1C
Kl    Ksl
                                       (A4-27)
                                       (A4-28)
                                                                      (A4-29)
    (for  many  cases  involving  resuspension  of  chemicals  with  high
    partition coefficients  (>100)  it is sufficiently accurate to assume
    that fp2 - 1, fd2 ~ OJ then K2 •» Kul)
    If only  the  maximum concentrations are of  interest,  equations  A4-27 and
A4-28 can be evaluated at t'=x/U, yielding
    maximum solids cone.
                                           -Kit-
                              ,max = m0 exP
                                       (A4-30)
    maximum chemical cone.
                                             -K-,f
                          CTl.max = CTI.O exp   '                      (A4-31)
    The Tier  1  result is given by equation A4-23.  The Tier 2 analysis based
on  equation  A4-31 for  maximum chemical concentration can  be  applied if the
receptor  is downstream  of the loading.  Input  values from the literature are
chosen  for  the  Tier  2  analysis,  whereas   site-specific  inputs  can  be
developed if a Tier 3 analysis is deemed warranted.
A4.2.5.   Lakes.   For  lakes the  critical  issue  is  often  the accumulation of
chemicals over  time,  especially in the sediments.  For this reason the anal-
ysis  considers  constant  loading.   Figures  A4-6a and A4-6b  show the defini-
tion  sketch   for  the  analysis.   Settling  and  resuspension  are  considered.
                                    A4-20

-------
Q
                        FIGURE^A4-6a
         Definition  Sketch  for Lake  Analysis:  Solids
                        FIGURE  A4-6b
       Definition  Sketch for  Lake  Analysis:  Chemicals
                           A4-21

-------
Dissolved transport  between the  bed  and the water column  is  negligible and
therefore was  not considered.   The  lake  is  assumed  to  be completely mixed
and subject to a constant inflow and outflow.
    The steady-state  solution  to the conservation equations for solids is as
follows:
    bed
    water column
m,, =
           Vs)/(Vu
                                              Vd)
where
              dH0/dt
                2
(sedimentation velocity)
 (mean residence time in the lake)
             V
-------
 (A similar equation  applies to the chemical  in the bed.)  At steady state
                               d£li = dCj-2 =
                                dt  ~  dt
 and  the  solution  to  the  conservation  equations for chemical  are:
     water  column
                                                                       (A4-38)
    bed
where
                                                                       (A4-39)

                                                                       (A4-40)

                                                                       (A4-41)
                                                                       (A4-42)
                                                                       (A4-43)
                                                                       (A4-44)
    In  lakes  it is  often  feasible to neglect  resusoension  (V =0),  in which
case,  as  discussed  previously,  8  reduces  to  1.   Equations  A4-32,  A4-33,
A4-39 and A4-40 simplify as follows:
    solids
         water column     m]  = (E/V.j)/(l/t  + K   )                    (A4-45)
         bed              m2  - (V /V ) m                              (A4_46)
                                             T)
                                     'p/s,  + Vb!
                                     ul * Vb,
                                              fd2Kb2
   chemical
         water column      CTI
        bed
                                             M/Vj
                                                                      (M~47)
                                                                      (A4-48)
                                   A4-23

-------
    Another simplified solution  is  obtained  if the mass solids  concentration
1n the  bed and the partition  coefficient  in the bed are  sufficiently  large
such   that   kd2m2»l.    Then   f  ~1
and A4-40 simplify to the following:
and
                      f .«~0   and   equations   A4-39
                       a 2
  CT1 -
                                 I/to + B(fpiKsi)
CT2 =
                                     KU2
                                                                      (A4-49)
                                                                      (A4-50)
    A  convenient result  for a  Tier 1  type  analysis  is  achieved if  it  is
further  assumed  that  there is  no  net  solids  flux  across  the  sediment
boundary (13=0).  Then equation A4-49 reduces to
                          CT1 =  (M/V^/d/t^  = M/Q                   (A4-51)
where  Q.  is the  sum of  the outflows from the  lake.   Although  this  assump-
tion  is  not likely to be valid  in  a quiescent  lake, it  does  provide a con-
servative estimate  suitable for the Tier  1 analysis.   Equation  A4-49 should
be used for a Tier 2 and  3  analysis.
A4.2.6.  Estuaries.   The  estuary  analysis  assumes  one-dimensional,  verti-
cally  well  mixed  conditions  and   seeks  to  obtain a steady  state (tidal
average)  solution.   The loading is  assumed to be constant and occurs at x=0
(Figure  A4-7).   Processes  include  advection   by the freshwater flow, longi-
tudinal  dispersion  which  takes  into account tidal and  other  mixing pro-
cesses,  resuspension and  settling,  and dissolved transport across  the bed.
     The   steady-state   tidal  average   solutions   for  solids  and   chemical
(O'Conner and Mueller,  1981;  Fischer et  al . ,  1979)  are  as  follows:
     solids
          bed              m. =  V m-AV   +  V )                         (A4-52)
         -               C    S  I    U    Q
         water  column     m]  =  E/Qn$ exp[(Ux/2D)(l  ± n$)]             (A4-53)
                                    A4-24

-------
                                                                OCEAN
                                                         ESTUARY
                                                         MOUTH
                      FIGURE A4-7

Graphical  Representation  of  Solution  for One-Dimensional
             Tidal  Average Estuary Analysis
                         A4-25

-------
where
         Q  = freshwater inflow at head of estuary
         U  = net downstream velocity caused by freshwater discharge
Kl " Ksl
                       ul
         a  =Vs/(Vu+Vd)
         Kul
    chemical
      VHi
         bed
         water
                           'Tl
                       fp2(Ku2 + Kd2) + fd2>
-------
 where
          CT1 ,o
                  M [1-exp(-(UL/D) nc)]
                                                                       (A4-63)
          L = distance between loading and estuary mouth.
     It  should  be  noted that  D  is  an  equivalent tidal  average  dispersion
 coefficient  which  may  be  obtained  from  the  mean  longitudinal  salinity
 gradient as follows:
              Us
          0 =
              il
              dx
                                                                       (A4-64)
 The Tier 1  result  is  given by equation A4-60.   The higher levels  of analysis
 should utilize equations  A4-58 and  A4-59 or A4-62.
 A4.2.7.   Protocol   for Applications   of  the   Receiving   Water Methodology.
 This  section provides guidance for selecting  the inputs  that  tend  to  define
 the problem.   A  good example  is  selection  of  the appropriate  value of
 streamflow  from the  streamflow record.   A  second  category  of inputs,  that
 relate to processes (e.g.,  dispersion  coefficients)  have generally been the
 subject  of  research  and  values  (or estimation techniques)  are available in
 the literature.  This  second  category of  inputs  is discussed in  the  data
 input  section.
    A4.2.7.1.   FLOWS — The   stream  methodology considers   3  cases,  mean
 loading,  event loading on  small  streams  and  event  loading  on large rivers
where  the flow is  not  greatly affected by  the  storm event.   The  streamflow
selected  for  each  case should be  consistent  with  the criteria  applied in
developing the  loading.   Thus a mean  annual streamflow should be used with a
mean annual  loading.   For  event  loading,  the level  of the  selected stream-
flow  should  agree  with  the  hydrograph  for  the   rainfall  event  used  to
generate  the event  loading.  For  case 3 a low streamflow  is used if  the
                                   A4-27

-------
receiving water  is  large and  not  greatly affected by the  storm  event.   Low
flows  are  often  defined  in  terms  of duration  and  recurrence interval.   A
popular choice for  flow  for dissolved oxygen problems  is  the 7Q10, which is
the  7-day  mean low flow  having  an average recurrence  interval of  10 years.
In this  methodology,  the  selected  duration for the flow should be consistent
with  the time scale  associated  with the release  of chemical  from  the sedi-
ments.   The  recurrence interval of the  low  streamflow should be consistent
with  that  of  the preceding event.    From  a  practical  point of view, the user
may  wish to use  the  7Q10 value because  of its  availability  and  because its
use  would  tend  to  yield  conservative   estimates.   It  is unlikely  that  a
runoff event  large  enough  to create a  serious  benthic  source  would occur
simultaneously with the period of  7Q10 flow.
     In the estuary and lake  methodologies, the  mean  annual flows  consistent
with the loading  should be  used.
     A4.2.7.2.   BED   CONDITIONS —  In   order   to   develop  simple   analytic
 solutions  for the estuary  and for Cases  1  and 2 in the streams analysis, the
 concentration  of solids  and  chemical  in  the  bed are assumed  constant and are
 treated as  boundary  conditions.   Therefore  the bed  concentration must  be
 specified a priori.   The mass solids concentration or  bulk  density is  given
 by
                                 m2 = B (1-6)                           (A4-65)
 where B is the solids density and  e the mean  porosity.
     The  total  chemical  concentration CJ2  in  the  bed  cannot   be  estimated
 directly based  on  loading  and conditions in the  receiving water.   Order-of-
 magnitude  estimates  of  CT2 are  possible  by   assuming  that   the  adsorbed
 fraction in the  bed equals the adsorbed  fraction  in the loading.
                                 i.e., r  -r,                          (A4-66)
                                     A4-28

-------
 where
          r2 = adsorbed fraction in bed (M/M)
          rL = adsorbed fraction in loading (M/M)
 Then the total chemical concentration in the bed is
                               CT2  ~  r2m2 =  rLm2                        (A4-67)
     The estimate  using this  equation  would tend to  be  conservative because
 it  essentially  assumes  that all adsorbed  chemical   settles  to  the bed  and
 that the loading  is  sufficient  to establish this concentration  over the  bed
 volume of interest.  Thus  chemical  mass  is not conserved  using  this estima-
 tion  technique.   A  more  reasonable  assumption is that  bed sediments will
 reflect the  sediments from all of  the upflow watershed.   Hence,
                                        SMA
r™
CT2 =
                                                                       
where
        SMA   = area of the  site  (ha)
        WS(x) = area of the  watershed upflow of x, the point of  interest  (ha)
This is further illustrated in Figure A4-4.
    In  the  case  of  lakes  and  Case 3,  streams,  the  bed  concentration is
estimated as part of the solution so the above approximation is not required.
    The depth of  the  contaminated bed is not required in any of the analyses
except  for  lakes, where  it enters  in  the more  complex  expressions  for C
and CT2.   There  is considerable uncertainty about the depth  of  the  contam-
inated  bed  given  the  expected  non-homogeniety of the bed sediments.   If the
user finds  it  necessary to estimate the  depth  of the contaminated  bed, it
seems  the  best  available advice is to  use  an order-of-magnitude  estimate.
For example, the  bed  depth  might be of  the order of 10  cm as  opposed  to 1 cm
or 100 cm.   Site specific information would facilitate a  choice.
                                   A4-29

-------
A4.3.  DATA  INPUTS  FOR  RECEIVING  WATER  ANALYSIS  —  Data  inputs  for  the
receiving water analysis may require:
         settling, resuspension, and sedimentation rate coefficients
         rate coefficient for dissolved transport across the bed
         longitudinal dispersion coefficients
         partition or distribution coefficients
         bed sediment properties
Guidance for selecting values of these inputs is provided below.
A4.3.1.  Settling,  Resuspension  and Sedimentation  Rate Coefficients.   The
sediment velocity scales are  the settling  velocity,  resuspension velocity,
and  sedimentation velocity.  These  parameters  are  included  in the analyses
to reflect  certain  processes.   However,  because of  the  uncertainty in quan-
tifying  the process,  values  are often  obtained  through  calibration.   For
example, a  mean  settling rate  in a lake may be deduced  by comparing inflow
and  outflow suspended  solids.   Available data  from  similar  water bodies may
also be used to estimate these parameters.
     In  lieu of available data, other  approximation  techniques  are required.
For  settling velocity,  it is common to  invoke  Stokes  Law,  which can account
for  a variety of  sediment properties, including density and shape.
     For  resuspension,  no similar  equation  applies.   The resuspension veloc-
ity  is  the  characteristic  velocity of  turbulent  entrainment  from  the  bed.
For  an  initial  order-of-magnitude  estimate,  the  turbulent velocity  can  be
assumed  equal  to the  shear velocity,  commonly denoted  as  u^ and  given  by
the  following equation:
                                      T- 1/2
                                u* =
(A4-69)
where
          u* = shear velocity  (L/T)
          TO « shear stress at bed  (M/LTa)
          P  = water density (M/L^)
                                    A4-30

-------
  In steady uniform flowing  streams,  an  expression for u* is
                                           1/2
                                 "* = (9HS)
  where
                                                (A4-70)
          g = gravitational acceleration  (L/T2)
          H = water depth  (L)
          S = channel slope

 If the  slope  is not known, a  rough  rule of thumb is that the shear velocity
 is  one-tenth  (1/10)  of  the  mean  stream  velocity.   in  an  estuary,  where
 tidally-induced  currents  are  important,  u*  can  be   approximated  as  0.1
 times the sum  of  the  root-mean-square tidal velocity and the freshwater flow
 induced velocity.
     The  sedimentation  velocity  is  the  rate of  change  in  contaminated  bed
 thickness H2  and  can  be  positive  or  negative.   If conditions  in the  bed
 are  assumed   uniform,   the  sedimentation   velocity depends   on  settling,
 resuspension and compaction as  follows:
vd =
                                = — Vc  - V,,  -
                                      vs   v
                                                  dt
                                               (A4-71)
Given  the  uncertainty  in  estimating terms  in this  equation,  the approach
used  (following  O'Conner  and  Mueller,  1981)  specifies  Vrf  rather  than
trying  to  estimate  Vd with  this  equation.    In  lieu of actual  data,  they
suggest  that  in many natural systems, V(j  is  positive and on  the  order  of 1
cm/year.
A4.3.2.   Rate Coefficient for Dissolved Transport Across the Bed.  Dissolved
transport from  or to the  bed can  be the  result of a  variety of  processes,
including:
         diffusion in the  pore water space
         desorption  at the  interface
                                   A4-31

-------
         migration associated with  organisms moving through  and  mixing
         the sediments (bioturbation)

         physical   processes  mixing  the  sediments  or  inducing  flow
         within the sediments


    Diffusion  in  the  water  column  is  usually large relative to  that  in  the

pore water  space  and  is  therefore  not normally a  limiting  process.  Because

of  the  difficulty  separating  the  effects  of  the  above  processes,  the

dissolved transport rate  coefficient  is more an empirical than a theoretical

coefficient.

    Where molecular diffusion  in  the  pore  water space  is important,  the

transport coefficient is given by the following:
where
                              K '  = D  e1"0/^                        (A4-72)
                               be
         Kb' = bed transport coefficient (L/T)
         De  = effective molecular diffusivity (L2/T)
         6   = diffusive sublayer thickness (L)
            = tortuosity of bed sediments
         6   = porosity of bed sediments


Tortuosity  is  difficult to  measure directly  but  can be measured indirectly

based on electrical resistivity F (Ullman and  Aller,  1982) as follows:

                                   4>2 = 6F                            (A4-73)

They  found  for  surficial  marine  sediments that  F  correlated  with porosity

according to:

                                  F  =  l/6m                            (A4-74)

where m ranged between 2 and 3.

    The effective molecular diffusivity is  used  in equation A4-72 because,

for hydrophobic  chemicals,  movement  in pore water  is highly  retarded  by
                                    A4-32

-------
 sorption  such  that the  effective  molecular diffuslvity is given  by  {Fisher
 et a!., 1983):
                                 °e = 1  + kd'                           (A4-75)
 where  DQ  is the  molecular  diffusivity for  ions  in free  solution and k  ',
 the dimensionless  distribution  coefficient,  is  given  by  the  following:
                              V  B kd B (1-Q)/e                       (A4-76)
 The molecular diffusivity for  ionic solutes  in porous media generally varies
 between  10"10   to  10"s   cmVsec   (Figure   A4-8).    For   chemicals  like
 PCBs  which  have  large  distribution coefficients,  the  effective  molecular
 diffusivity   may  be  as   low   as   l(f14   to  10'"   cmVsec  (Fisher  et
 al.,  1983).
    When  factors  other  than  molecular  diffusion are  important,  it  is recom-
 mended  that  the  effective  molecular  diffusivity  in  equation  A4-72  be
 replaced  by  an empirical  apparent diffusivity.  This is  the  approach taken
 in  the  toxic transport model  TOXIWASP (Ambrose et al., 1983).
    As  mentioned   previously,  another   factor  that may  affect  transport  is
 bioturbation.   Robbins  et al.  (1979)  found that bioturbation  increased the
 apparent   diffusivity   of   Cesium  137   from  6.3xlO"10   cmVsec  for   a
 control  to   1.4xlO~7   cmVsec.   Karickhoff   and  Morris   (1985)   reported
 a 4- to 6-fold increase  in transport in  sediments with worms.
    Induced  advection  and  mixing  of   the  sediment  by  pressure  and shear
 forces  created by  the interaction of the bed  with the flowing water can also
enhance  transport.  According  to  Thibodeaux  (oral  communication,   1985),
equation A4-72  may be  suitable  for quiescent  lakes,  but  in  more dynamic
systems, like streams and estuaries, the actual transfer rates may be much
larger  than   that   predicted  using  the  effective  molecular  diffusivity.
                                   A4-33

-------
    10s -
     104-
     102-
I    10°
0)
8
o
"S5
O
     10-2-
     10*-
     10*-
     10-10
                 EDDY DIFFUSION
                 — Horizontal Surface Waters
                 EDDY DIFFUSION
                — Vertical, Thermocline and Deeper
                    Regions in Lakes and Oceans
           «	Heat in H2O
                   MOLECULAR DIFFUSION
                      Salts and Gasses in H2O
                     Proteins in H2O
                  THERMAL DIFFUSION
                 	Salts in H2O
                                                   Ionic Solutes in
                                                   Porus Media
                                                   (Sediments, Soils)
              Source: Rates, Constants, and Kinetics Formulations in Surface
                     Water Quality Modeling, Bowie et. al. EPA/60C/3-85/040
                     1985.


                              FIGURE A4-8

  Diffusion Coefficients  Characteristic  of Various Environments
                                  A4-34

-------
 Savant  et al.  (1985), on the  basis  of laboratory and numerical experiments,
 show  that  circulation  is  induced  in a  bed having  a wavy interface.  They
 cite  Peclet numbers  (a  measure of  the  importance  of  advective relative to
 diffusive  effects)  of  100-1000 which suggest  that transport  is advective
 rather  than  diffusive.   For  Peclet  numbers  in  this   range,  the  ratio  of
 apparent  diffusivity to  the  effective molecular  diffusivity  may  be  in the
 range of  10-100 (p.  392,  Freeze and Cherry, 1979).
    When  estimating a value  of the  transport coefficient K '  from equation
 A4-72,  the various  inputs  required  should be selected  to yield a conserva-
 tive (higher) value.
 A4.3.3.  Longitudinal  Dispersion  Coefficients.   This section  relies,  to  a
 large extent, on  the excellent discussion on mixing in  rivers  and estuaries
 given  in  Fischer  et  al.  (1979).   The reader should  consult this  source for
 additional detail.
    A4.3.3.1.  STREAMS — An   estimate   of   the    longitudinal   dispersion
 coefficient  is  required  for  the  event loading  (Case   2).    Longitudinal
dispersion  in streams  and rivers  is  caused primarily by lateral  and vertical
diffusion  in a  nonuniform velocity (advective)  field.   A  variety  of  irregu-
 larities  in  channel  geometry  (e.g.,  bends) contribute to this  nonuniformity.
A  second  mode  of  dispersion  results  from exchange  between  the  main  channel
and ponds or  side  arms  (dead zones).   For example,   in  slug  release  dye
tests,   the  long recession  limb  of the dye  concentration  is caused  by slow
release from dead zones.
    Fischer  et  al.  (1979)  give  the  following  equation for  estimating
dispersion in rivers in the  absence of dead zones.
                            E = 0.011 IT W2/du*
(A4-77)
                                   A4-35

-------
where
         E  = longitudinal dispersion coefficient (L2/T)
         U  = current speed (L/T)
         W  = width of river (L)
         d  = depth of river (L)
         u* = shear velocity (L/T)
    The shear  velocity  can  be estimated from the stream slope using equation
A4-69  as  discussed previously; or,  in  the absence of  slope  data,  an order-
of-magnitude  estimate  is  that u^  is  one-tenth of  the mean  current speed.
Table  A4-3  abstracted  from  Rutherford  (1981) gives some  measured  values  of
longitudinal dispersion in open channels.
    A4.3.3.2.  ESTUARIES — Longitudinal  dispersion  in  estuaries   is  more
complex than  in rivers  because  of the effects  of  tides  and  stratification.
Factors  affecting  dispersion  include  oscillatory shear flow  dispersion,
residual  tidal  circulation,   tidal  trapping  and  gravitational  or  density
driven circulation.
    Fischer et  al.  (1979)  showed  that shear  flow  dispersion  will  be a maxi-
mum if  the  tidal  period is similar  to  the time required for cross-sectional
mixing.  Even  then  the  maximum dispersion coefficient for shear flow only is
estimated  to  be  ~60  mVsec,  much  less  than  can  occur  in large  rivers
(see Table  A4-3).   For  a narrow estuary  where  the cross-section  mixing time
1s  low, their  results  show  that  the  dispersion  coefficient  is  ~5%  of  the
maximum value.   For a wide  estuary, the coefficient is ~13%  of  the maximum
value.  These  values may be  used as first estimates in the methodology which
applies to constant density portions of estuaries.
    Residual  tidal  circulation reflects the asymmetry  in  the  tidal currents
caused  by   irregular bathymetry  and coreolis  forces.   Examples of residual
tidal  circulation  are  preferential  ebb  and  flood  channels.   Tidal trapping
is the  effect of  side  embayments and small branching channels which exchange
                                    A4-36

-------
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contaminant with the main  channel  at different rates depending  on  the tidal
cycle.  Gravitational  or density  driven  circulation is the  net circulation
caused by  the  density  difference between the river inflow at the head of (or
along) the estuary and the sea  at the  mouth of the  estuary.   In  stratified
estuaries,  the  classical   estuarine  circulation  is  downstream  near  the
surface and upstream at depth.
    Because these  effects  are  site  specific, the  best available method  to
estimate  the   longitudinal  dispersion  coefficient  is  from salinity  data  as
follows:
                                   E o —                             (A4-78)
                                       as
                                       ax
where:
         E = longitudinal dispersion coefficient
         s - salinity (M/L3)
         U = freshwater velocity (L/T)
         x = longitudinal coordinate (L)
Field measurements  used to  estimate  the salinity  should take  into  account
spatial  variability  of the  salinity  across the  channel  and  the  changes  in
salinity  with the  tide.    Results  will  differ depending  on the  approach.
Fischer  et al.  (1979)  give values for  some  observed  longitudinal  dispersion
coefficients.   They  ascribe  the  lower  values  (in  the  range  of  10-50
mVsec)  to constant density reaches for which the methodology applies.
A4.3.4.   Partition  or  Distribution  Coefficients.   Partition  coefficients
are  required to  establish the  dissolved/adsorbed  equilibrium  in  the  water
column  and  in the  bottom sediments.    In  the   development  of the methodolo-
gies, allowance has  been  made for different distribution coefficients in the
bed  versus the  water column.  Baes and  Sharp  (1983)  summarize statistics of
the  distribution  coefficients for various  contaminants  including  metals for
which the data exhibit a large range.
                                    A4-40

-------
A4.3.5.  BED  SEDIMENT  PROPERTIES — Bed  sediment  properties  used  in  the
analyses are  solids  density and porosity.  The solids density of the mixture
of  soil  and  sludge will  be  less  than  the  soil  density (2.65  gm/cm3  for
most  mineral   soils)  a  factor  that  would  be  important  in  resuspension.
However,  in the  methodology  resuspension  is  specified  by  a  velocity  and
consequently,  a solids density of 2.65 gm/cma is adequate.
    The porosity  of  surficial  sediments generally ranges between 0.6 and 0.9
and in lieu of data, a mid-range value would be adequate.
A4.4.  EXAMPLE CALCULATIONS
A4.4.1.  Streams.   For  easy  reference,  the  definitions  and  values of  the
input parameters for the example calculations are provided in Table A4-4.
    A4.4.1.1.   CASE  1,  CONSTANT LOADING  — Use  equation  A4-16  to  calculate
the concentration:
                                              KSi   1
                    CTi (x) = CTi (0) exp  -  — +    x
                                               U    D
     (A4-16)
where  K$]  =   V$/U   and   D2  =  WS  (0)  is  the  watershed  area  for  the
stream position on the SMA boundary (X=0).
    For the example problem (see Table A4-4)
                                 Kc. = V  /H,
                                  SI    si
                               2.27 x  10-a  cm/sec
                                    100 cm
                             =  2.27 x  10~s I/sec
                                D2 = 2000 ha
                                 D = 4472 m
                                 U = 1  m/sec
                                x = 10,000 m
     CT1  (10,000)  = 1.93xlO-s(mg/a)  exp  -
                                             2.27 x 10-s
                                                           4472
10,000
                              = 1.6xlO~6 mg/S,
                                    A4-41

-------
                                 TABLE A4-4
   Input Parameter Definitions and Values for the Streams Example Problem
H     = Long-term average chemical mass loading rate, 7.4x104 kg/year
Ho    » Event chemical mass loading, 219.6 kg
Eo    = Total event solids mass loading, 1.2x10* mt
Qf    * Stream flow rate, 10 ma/sec (3.15x1 Quit/year)
VT    = Stream flow volume over the period of the event (stream flow rate, Q,
        times the storm duration, R-J-) , 2.16xlQs m3
x     = Distance downstream from the SMA, 10,000 m
U     - Stream velocity, 1 m/sec
Vs    = Settling velocity, 2.27x10-3 cm/sec
HI    = Stream depth, 100 cm
WS(o) = Area of watershed for receiving water at the location of the site —
        2000 ha
es    = Bulk density of stream bed, 1.6 gm/cm3
e     * Porosity of stream bed, 0.15
Kd    » Distribution coefficient, Benzene — 7.4x10-3 s./|
-------
     This  is well below the  RWC  and,  therefore,  no  further Case  1  analysis  is
 required.
     A4.4.1.2.   CASE  2, EVENT  LOADING —Use  equation A4-16 to  calculate the
 stream  concentration  for the analysis.
                        CTi,MAX=CTi,OeXp(-Kl t()
 where K] =  K$]  + U/D  and t1 =  x/U
     For the desired benzene concentration
         CTi,MAX = 2-36xl°~3 mg/S. exp [(-2.46xlO~4 Vsec) (104 sec)]
                             = 2.01 x 10~4 rag/ft.
     The calculations  show  that the benzene concentration  in the stream drops
 below the  RWC  at a distance of  10 km downstream.  Thus,  no further analysis
 is necessary.
A4.5.  REFERENCES

Ambrose, R.B.  Jr.,  S.I.  Hill and L.A. Mulkey.   1983.   User's manual for the
chemical transport  and  fate model  TOXIWASP,  version  1.  EPA  600/3-83-005,
Prepared by the  Environmental  Research Laboratory,  Athens,  GA.   ORD,  U.S.
EPA, Washington, DC.

Baes, C.F.,  III and  R.D.  Sharp.  1983.   A  proposal for  estimation  of  soil
leaching and  leaching constants  for  use in assessment models.   J.  Environ.
Qua!.  12(1): 17-28.
                                   A4-43

-------
Bowie,  G.L., W.B.  Mills,  D.B.  Porcella,  C.L.   Campbell,  C.E.  Chamberlain.
1985.   Rates,  constants  and  kinetics formulations  in  surface water quality
modeling,  2nd ed.,  EPA/600/J-85/040.   Prepared by Humboldt State University,
Arcata,  CA, under  Contract No. EPA-68-03-3131.   U.S.  EPA,  Washington,  DC.
NTIS PB 85-245314/XAB.

Fischer,  H.B.,  E.J.  List,  R.C.Y.  Koh,  J.  Imberger and  N.H.  Brooks.  1979.
Mixing in  Inland and Coastal Waters.  Academic Press.

Fisher,  J.B.,   R.L.  Petty  and  W.   Lick.   1983.   Release  of  polychlorinated
biphenyls  from  contaminated  lake   sediments:  Flux and apparent diffusitiv-
ities of four individual PCBs.  Environ. Pollut.  (Series B).  5: 121-132.

Freeze, R.A. and J.A. Cherry.  1979.  Groundwater.  Prentice Hall.

Karickhoff,  S.W.  and K.R.  Morris.   1985.   Impact  of  tubificid oligochaetes
on  pollutant transport  in  bottom  sediments.   Environ.  Sci.  Technol.   19:
51-56.

O'Conner,  D.J.  and  J.A.  Mueller,  Ed.   1981.  Modeling of  toxic substances in
natural  water   systems.   26th  Summer  Institute  in Water  Pollution  Control,
May 26-28, Manhattan College, Bronx, NY.

Robbins, J.A.,  P.L.  McCall,  J.B.  Fisher and J.R. Krezoski.  1979.  Effect of
deposit  feeders  on  migration of 137  Cs in  lake  sediments.   Earth  Planetary
Sci. Lett.  42:  277-287.
                                   A4-44

-------
Rutherford,  J.C.    1981.   Handbook  on  mixing  in  rivers.   Water and  Soil
Miscellaneous Publ. No, 26, Ministry of Works and Development, Hamilton,  N.Z.

Savant,  S.A.,  D.D.  Reible,  G.S.  Gipson,  J.D.  Doyle  and L.J.  Thibodeaux.
1985.  An  investigation of the significance of convective transport in river
sediments.  24th Hanford Life Sciences Symposium, Hanford, WA, October 22-24.

Thibodeaux, L.J.  1985.  Oral communication.

UHman,  W.J.  and  R.C. Aller.   1982.   Diffusion  coefficients  in  nearshore
marine sediments.   Limnol.  Oceanogr.   27(3): 552-556.
                                   A4-45

-------

-------
       APPENDIX 5
DISTRIBUTION COEFFICIENTS
          A5-1

-------
    Distribution  coefficients  are  required to  determine how  a  contaminant
will partition  itself between  the  soil particles  and the  soil  water.   The
distribution coefficient, Kd, is defined as:
                                  Kd = S/C
(A5-1)
where S « concentration of contaminant on soil (mg/kg)
      C « concentration of contaminant in water (mg/a)

The concept of  Kd  is  a gross simplification of attenuation of inorganic con-
taminants in soil.  Precipitation  chemistry is an important factor in atten-
uation over and  above  adsorption and exchange.  Precipitation does not yield
a  solution  concentration  in proportion  to  the mass  of  contaminant  in  the
system.  As a consequence,  the  use of a  Kd  is most valid at low contaminant
concentration levels where contaminants do not exceed solubility thresholds.
    For organics,  the  Kd  concept  is more broadly  useful  because  adsorption
accounts for most  soil attenuation.   In  the case of organics,  Kd  is calcu-
lated  from  the  distribution as  a  function  of organic carbon  content of  the
soil  (K  )  and  the  fraction  of  soil  (f   )  consisting  of organic  matter
as follows:
                               Kd -  (Koc)(foc)
(A5-2)
If  values  for  K   have  not been  determined  experimentally, equations  are
available  that  relate  K    to  octanol-water partition  coefficient data  —
(K  ) or solubility.
                                   A5-2

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     Table  A5-1  is provided to  assist  the analyst in selecting  Kd  values  for
 contaminants  of  interest.   Values  for  inorganic  contaminants  were  derived
 from the  literature  for  sandy and  sandy-loam  soils.   No difference   is
 anticipated  between  unsaturated and  saturated  soils.   The  analyst  should
 select  the soil  condition  most closely  matched to  soils  found on site  for
 selection  of the  Kd.
     For  organic  contaminants,  the  Kd  is a  function of organic  content  in
 soil.  As  a consequence, the analyst has  two options:
    1
If the  organic  content  of  the soil  on site is  known,  the Koc
value should be  selected from Table A5-1 and the Kd  calculated
from Equation A5-2.
If the  organic  content  of  the soil  on site is  not  known, the
soil   classification  should  be matched  with those soil  types
provided in Table A5-1  and the associated Kd value selected.
It  is  assumed  that subsoils in the aquifer will not have organic matter and,
therefore,  the Kd  for  organics in  the saturated  zone  is equated  to zero.
This  is  conservative in  that  research  suggests  that at  low organic levels
(i.e., <0.1%),  organics  interact with clay minerals.  However,  these inter-
actions  are not  well  understood  and  no  means  of prediction  is  currently
available.  Therefore, retention in  the saturated zone is  not  considered  at
this time.
    Whenever specific  Kd  values are  available for  the  on-site soil,  they
should be  employed in place  of the  values  provided in Table A5-1.   Use  of
such data  should  be accompanied by  detailed  documentation on how  they  were
derived.
                                   A5-3

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A5.  REFERENCES

Dawson,  G.W., C.J.  English  and S.E.  Petty.   1980.   Physical  and  chemical
properties  of hazardous  waste  constituents.   Office  of  Solid Waste.   U.S
EPA, Washington, DC.

Lyman,  W.J.,  W.J.  Reene  and D.H.  Rosenblatt.   1982.   Handbook of  chemical
properties estimation methods.   McGraw-Hill, San Francisco,  CA.

O'Melia,  C.R.  and  W.  Strumm.   1967.   Aggregation of  silica dispersions  by
iron  (III).    J.   Colloid.    Interface  Sci.  23:  437-447.   As   reported  in
Battelle  Pacific Northwest  Laboratories.   1984.   Chemical Attenuation  Rates,
Coefficients  and   Constants  in   Leachate  Migration.   EPRI,  EA-3356,  Vol.  1.
Electric Power Research Institute, Palo Alto, CA.

U.S.   EPA.    1985a.    Environmental   profiles   and   hazard   judices   for
constituents of municipal sludges.  Office of Water, Washington,  DC.

U.S. EPA.  1985b.  Sorption  protocol evaluation for OSW chemicals.   Prepared
by Environmental  Research Laboratory, Athens, GA.  U.S. EPA,  Washington,  DC.
                                    A5-8
US. GOVERNMENT PRINTING OFFICE; 198»- 6k 8 - 1 6 3'/ 00350

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