PB83-170563
Verification of a Toxic Organic Substance Transport and Bioaccumulation
Model
Iowa Univ.,  Iowa City
Prepared for



Environmental Research Lab.
Athens,  GA



Feb 83
                    U.S. DEPARTMENT OF COMMERCE
                 National Technical Information Service
                                   NTIS

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                                       EPA-600/3-83-007
                                       February 1983
  VERIFICATION OF A TOXIC ORGANIC SUBSTANCE
     TRANSPORT AND BIOACCUMULATION MODEL
                      by

              Jerald L. Schnoor
                Narasinga Rao
            Kathryn J. Cartwright
               Richard M. Noll
            Carlos E. Ruiz-Calzada

            The University of Iowa
            Iowa City, Iowa  52242
            Grant No- R-806059-02
               Project Officer
              Thomas 0.  Barnwell
Technology Development and Applications Branch
      Environmental Research Laboratory
            Athens, Georgia  30613
      ENVIRONMENTAL RESEARCH LABORATORY
      OFFICE OF RESEARCH AND DEVELOPMENT
     U.S.  ENVIRONMENTAL PROTECTION AGENCY
            ATHENS, GEORGIA  30613

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                                  TECHNICAL REPORT DATA
                           (Pleatr read laaructtrns rn ih( revinr before frmrlitingj
  EPA-600/3-83-007
                                                           *EC>riENT s
                   3    170563
  TITLE AMP Sf »TITLE
  Verification of a Toxic Organic Substance Transport
  and Bioaccumulation Model
                                                           •E'OKT PATE
                                                           February 1983
                       RGANIZATION COPE
  Jerald L- Schnoor, Narasinga Rao, Kathryn J,  Cartwright
  Richard M. Noll, and Carlos E  Ruiz-Calzada
                                                         8 ^E W OWMING ORGANIZATION «£rO"T NO
f rEHf?HMI~G OflG»NIZATI»M
  The University fff Iowa
  Iowa City, Iowa  52242
              CCULIA
                                                          1' CONTR»CT'O«»'>'T MO
                                                             R-806059-02
17
  Envi r»nmental Research Laboratory-Athens GA
  Office of Research and Development
  US.  Environmental Protection Agency
        , Georgia  30613
              Final, 10/79-12/81
              EPA/600/01
        A field verification of the Toxic Organic Substance Transport  and  Bioaccumula-
  tion Model  (TOXIC) was conducted using the insecticide dieldrin  and  the  herbicides
  rlachlor and atrazine as the test compounds.   The test sites were  two  Iowa  reservoirs
  The verification procedure included both steady-state analyses and quasi-dynamic  sim-
  ulations using time-variable flows and pollutant loadings along  with model  coeffic-
  ients derived from laboratory and literature data-   Laboratory measurements  were  used
  in  simulations of alachlor, atrazine and dieldrin,  and model predictions were  well
  within an order of magnitude of field observations.   For the herbicide alachlor,  for
  example, laboratory protocol  measurements were used directly in  model simulations
  with excellent agreement between model predictions and measured  concentrations

        The TOXIC model, therefore, was considered to be field verified.   Moreover, the
  successful  field verification supports the validity of EPA's Exposure Analysis
  Modeling System (EXAMS), which handles pollutant transport and transformation  kinetic
  in  an almost identical manner.
                               KEY WO"»S
                                                                             I F>rld/G)»up
  P'ST «I»UTIPN STATEMENT
 RELEASE TO PUBLIC
SECU«ITY CLASS (Tha
UNCLASSIFIED
                                            J» SECURITY CLASSIThupogf)
                                               UNCLASSIFIED
71 M» 9f PAGES
_   177
11 '"ICE
      2730-* l»-7»>

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                                 DISCLAIMER

      Although the research described in this report has been funded wholly
or in part by the United States Environmental Protection Agency through
Grant Number R-806059-02 to the University of Iowa, it has not been subjected
to the Agency's required peer and policy review and therefore does not
necessarily reflect the views of the Agency and no official endorsement
should be inferred.
                                     11

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                  NOTICE
      «

.THIS DOCUMENT  HAS  BEEN REPRODUCED

FROM THE BEST  COPY  FURNISHED  US BY

THE  SPONSORING  AGENCY,  ALTHOUGH IT

IS RECOGNIZED THAT CERTAIN PORTIONS

ARE  ILLEGIBLE,  IT IS  BEING  RELEASED

IN THE INTEREST  OF MAKING  AVAILABLE

AS  MUCH  INFORMATION AS POSSIBLE

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                                 FOREWORD

      As environmental controls become more costly to implement and the
penalties of judgment errors become more severe, environmental quality
management requires more efficient analytical tools based  on greater
knowledge of the environmental phenomena to be managed.   As part of this
Laboratory's research on the occurrence, movement, transformation, impact,
and control of environmental contaminants, the Technology Development and
Applications Branch develops and tests management and -engineering tools to
help pollution control officials achieve water quality goals.

      Concern about environmental exposure to synthetic organic compounds
has increased the need for reliable techniques to predict the behavior of
chemicals entering natural waters as a result of the manufacture, use, and
disposal of commercial products.  In response, mathematical models have
been developed to aid in evaluating the environmental consequences of
pollutant exposure.  An essential step in the development and use of these
models is field verification.  This report describes a recent study in
which the Toxic and Organic Substance Transport and Bioaccumulation Model
(TOXIC) predicted pesticide concentrations that were well within an order of
magnitude of levels actually measured in two Iowa reservoirs   This success-
ful field verification of TOXIC also supports the use of EPA's Exposure
Analysis Modeling System, which incorporates similar modeling procedures


                                     David W  Duttweiler
                                     Director
                                     Environmental Research Laboratory
                                     Athens, Georgia
                                   m

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                                 ABSTRACT
     The model TOXIC (and versions thereof) was calibrated for the
insecticide dieldrin and the herbicides alachlor and atrazine using data
from Iowa reservoirs.  Steady state analyses and quasi-dynamic simulations
with time-variable flows and loadings were accomplished   Model coefficients
were derived from laboratory data and in some cases literature data.

     For the herbicide alachlor, laboratory protocol  measurements were used
directly in model simulations with excellent agreement  between model  pre-
dictions and measured concentrations.  Thus the model may be considered
field-validated.  Laboratory measurements were used in  simulations of
alachlor, atrazine and dieldrin, and results were well  within an order-of-
magnitude of field data.

     One of the most important aspects of the dieldrin  simulations was the
choice of time and space scales.  Especially in quasi-dynamic applications,
where one variable varies in time and space while another is held constant,
averaging problems arise.  To simulate both the exposure concentration and
mass fluxes accurately, one must use a fully dynamic, spatially variable
model in which flow, suspended solids, toxicant concentration, pH, and
other state variables are functions of time and space.   Fortunately most
applications do not require such accuracy, and we may settle for steady
state or quasi-dynamic models such as TOXIC.  TOXIC was utilized in a
management decision by the Iowa Conservation Commission to lift the ban on
commercial fishing in Coralville Reservoir in 1979.

     Sediment has been a small net source of dieldrin to the water column
of Coralville Reservoir, especially important under low flow conditions
Coralville Reservoir contains approximately 50 kg of dieldrin in the sed-
iment.  It will take 6-10 more years to achieve less than detectable
(<0.002 ug/n) dieldrin in the water column, primarily due to continued in-
flow as well as sediment desorption.

     Lastly, field bioconcentration factors when normalized on a lipid
basis were approximately equal to laboratory-derived bioconcentration
factors similarly weighted   The bioconcentration factors were also pro-
portional to the octanol water partition coefficient.  Bioconcentration is
the primary mode of pesticide uptake in Coralville Reservoir and food items
are generally of less importance.

     This report was submitted in fulfillment of Grant  No.  R-806059-02 by
the University of Iowa under the sponsorship of the U.S.  Environmental
Protection Agency.  This report covers the period October 1, 1979, to
December 31, 1981, and work was completed as of December, 1982.
                                    IV

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                             TABLE OF CONTENTS
Foreword  	       ill

Abstract  	        i v

List of Tables 	    x - xi

Acknowledgments 	       xi 1

Chapter I.   Dieldrin in Coarlville Reservoir:
             Model Development and Calibration 	         1

               Introduction 	         1
               Model Development 	         2
                  Mass Balance for Pesticides in Reservoirs 	         2
                  Bioaccumulation Model 	         6
                  Multicompartment Solutions  	         8

               Results and Discussion 	        10
                  Fate and Transport 	        10
                  Two Compartment Model 	        10
                  Eight Compartment Model  	        13
                  Unsteady Flow Simulations 	        14

               Summary	        14

Chapter II   Sediment, Water and Biota Interactions
             of the Pesticide Dieldrin in  Coralville Reservoir ...        37

               Introduction 	        37
               Field Observations 	        37
               Modeling Sediment - Water Interactions 	        39
                  Compartmentalization 	        39
                  Solids Balance 	        40
                  Pesticide Balance 	        41

               Biotic Uptake 	        42
                  Bioconcentration 	        42
                  Bioaccumulation 	        43

               Summary 	        44

Chapter III.  A Dynamic Simulation Model  for Alachlor and Atrazine:
             Field Validation Using Microcosm and Laboratory Studies

               Introduction 	        67
               Model Devel opment 	        67
                  GASP-IV Simulation Language 	        69

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               Materials and Methods 	
                  Bitransformation Tests 	
                  Microcosm Test 	
                  Field Tests 	

               Results and Discussion 	
                  Biotransformation Test 	
                  Microcosm Test 	
                  Field Tests 	

               Summary 	

Chapter IV,  Conclusions and Recommendations ,

               Conclusions 	
               Recommendations 	

Appendix     TOXIC Documentation 	

               Program Structure 	
               Common Blocks 	
               Running TOXIC 	

             Program Codes 	

               TOXIC 	
               TOXIC - 30 Compartment version
               TWOCOMP 	
               TWOCOMP1 	

             Sample Input 	

               DATA File for TOXIC  	

             Sample Output 	

               TWOCOMP 	
               TWOCOMP1 	
               PESTY2 	
               TOXIC - 9 Compartment 	
               TOXIC - 30 Compartment 	
 70
 70
 70
 71

 71
 71
 72
 72

 73

 87

 87
 88

 89

 90
 91
 99

101

102
113
126
128

131

132

134

134
136
137
140
150

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                              LIST OF FIGURES

Chapter I.
  Figure 1-1     Pesticide Fate and Transport 	    22
  Figure 1-2     Physical Configurations of the Reservoir Model  	    23
  Figure 1-3     Bioaccumulation Kinetics of the Pesticide Transport
                 Model  	    24
  Figure 1-4     Model  Results for Dieldrin Concentration in the
                 Coralville Reservoir Outflow 	    25
  Figure 1-5     Input Loading Function to Coralville Reservoir  	    26
  Figure 1-6     Calculated Mass Flux of Dieldrin to the Sediment 	    27
 'Figure 1-7     Sensitivity Analysis of the Effects of the
                 Partition Coefficient, K  	    28
  Figure 1-8     Sensitivity Analysis of the Effect of the
                 Sedimentation Coefficient, K  	    29
  Figure 1-9     Field  Data and Model  Results for Dieldrin in
                 Coralville Reservoir,   Numbers represent the
                 number of data points and percentages are the
                 percent oil  or lipid content of the catch 	    30
  Figure 1-10    Field  Data and Model  Results for Dieldrin in
                 Coralville Reservoir Fish, Normalized on an Oil
                 Basi s  	    31
  Figure 1-11     Eight  Compartment Model  Results for Dieldrin in
                 the Water Col umn 	    32
  Figure 1-12    Eight  Compartment Model  Results for Adsorbed
                 Dieldrin on the Sediment 	    33
  Figure 1-13    Unsteady Flow Simulation 	    34
  Figure 1-14    Unsteady Flow Results 	    35
  Figure 1-15    Unsteady Mass Flux to the Sediment 	    36
                                   VI1

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Chapter II,

  Figure II-l    Estimated Aldrin Usage (In million pounds) In
                 Iowa and Total Dleldrln Concentration In the Iowa
                 River at Iowa City, 1968-1978 	   51

  Figure II-2    Hypothetical Scenario for the Self-Purification of an
                 Impoundment After the Introduction Introduction of
                 a Hydrophobic Toxic Organic 	   52

  Figure II-3    Solids Loading and Flow Below Coralville Reservoir
                 at Iowa City 	   53

  Figure I1-4    Rate of Erosion versus Bottom Shear Stresses in
                 dynes/cm' (calculated from data of Partheniades,
                 1965) 	   54

  Figure II-5    Solids and Dieldrin Loading Below Coralville
                 Reservoir at Iowa City (note:   no dieldrin record
                 exists for 1978) 	   55

  Figure II-6    Solids Loading and Total  Dieldrin Concentration
                 Below Coralville Reservoir at Iowa City (note:   no
                 dieldrin record exists for 1978) 	   56

  Figure II-7    Sediment Core Analyses for Percent Volatile Solids
                 and Dieldrin Concentration Near the Inflow to
                 Coralv1l1e Reservoi r 	   57

  Figure II-8    Sediment Core Analyses for Dieldrin Concentration on
                 a Dry Weight Basis and on a Volatile Solids (VS)
                 Basis 	   58

  Figure II-9    Compartmentalized Approach to Sediment - Water
                 Interactions in Coralville Reservoir 	   59

  Figure 11-10   Estimated Dieldrin Sediment Concentrations and
                 Loading Scenario in Highly Depositional Zones of
                 Coralville Reservoir 	   60

  Figure 11-11   Dieldrin Residues in Fish vs.  Percent Oil  Content,
                 Coralville Reservoir, 1979 Field Data.   Equation
                 for Lease squares regression:   Y = 2640 x -10,8,
                 r = 0.77 	   61

  Figure 11-12   Iowa Field Bioconcentration Factors in Fish Oil
                 vs. Octonol/Water Partition Coefficients 	   62

  Figure 11-13   Ecosystem Contamination Levels Based on Field
                 Observations and Laboratory Microcosm Experiments ....   63
                                   vm

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Figure 11-14
Figure 11-15
Figure 11-16
Chapter III.
Figure III-l
Figure III-2
Figure III-3
Figure III-4
Figure III-5
Figure III-6
Figure III-7
'Figure III-8
Figure III-9
Figure 111-10
Figure III-ll
Bioaccumulation Model Schematic 	 , , 	
Dieldrin Residues in Game Fish Simulation for
Coral vi lie Reservoir . - . , . . . , ,
Dieldrin Residues in Bottom - Feeding Fish for
Coral vi lie Reservoir 	 ,,.,.,, 	 ,.,,,,..,,,.
Alachlor Degradation in Iowa River Water with an
Acti vated SI udge Irvnocul um 	 ,.,,,, 	
Alachlor Microcosm Concentrations 1n Filtered Water
Sdmpl es . . , , , , , 	 	 	 ,,.,,,,, ,,,.,,
Atrazine Microcosm Concentrations in Filtered Water
Sampl es 	 , , , 	 	 	 , 	 , . , , 	 ,.,,.,.
Model Inflow to Lake Rathbun 	
Model Inflow to Lake Rathbun 	
Measured Alachlor Inflow Concentrations and
Model Input . , . , , , , , . , . . , , , ,
Model Results and Measured Alachlor Concentrations
in Lake Rathbun, 1978 . . ...
Measured Atrazone Concentrations and Model Input 	
Model Results and Measured Atrazine Concentrations ...
Measured Dieldrin Concnetrations and Model Input 	
Model Results and Measured Atrazine Concentrations ...
64
65
66
. -76
77
78
'79
80
81
82
83
84
85
86
IX

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                              LIST OF TABLES
Chapter I,
  Table 1-1
  Table 1-2

Chapter II,
  Table II-l

  Table II-2
  Table II-3
Chapter III.
  Table III-l
Appendix
  Table 1.
  Table 2.

  Table 3.

  Table 4.

  Table 5.
  Table 6,

  Table 7,
Chemical Structures of Selected Iowa Pesticides            19
Photolysis, Hydrolysis, Biolysis, and Sorption
Coefficients for Selected Iowa Pesticides                  21
Annual Total Dieldrin Concentration Statistics from
Below Coralville Reservoir at Iowa City,  1969-1979         46
Two-Compartment Model Results with Aggrading Sediment,
Coralville Reservoir                                       47
Results of 25 Compartments Simulation for Dieldrin
in Coralville Reservoir                                    48
Kinetic Biodegradation Rate Constants                      75
TOXIC code in Extended Fortran for PRIME 750 computer     101
30 - compartment TOXIC code in Extended Fortran for
PRIME 750 computer                                        113
TWOCOMP code for Solids balance in a 2 - compartment
reservoir with volume                                     126
TWOCOMP1 code for soldis balance in a 2 - compartment
reservoir with variable volume in the sediment compart-
ment                                                      128
DATA file for input to TOXIC                              132
TWOCOMP output for hypothetical solids balance in
Coralville Reservoir                                      135
TWOCOMP1 output for hypothetical solids balance in
Coralville Reservoir (variable volume sediment
compartment)                                              136

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Table 9.      Sample Output for the 9 -  compartment  TOXIC  model          140
Table 10.     Sample output for the 25 - compartment TOXIC model         150

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                               ACKNOWLEDGMENTS
     We gratefully acknowledge the interesting discussions and help of EPA
personnel at the Environmental Research Laboratory,  Athens, Georgia,
Including Mr. Thomas Barnwell, Dr. James Falco, Dr.  Lawrence Burns, and
Dr. Robert Swank.  Also the entire research team of Mr.  George Baughman,
Dr. Lee Wolfe, Dr.  Richard Zepp, Dr.  Samuel Karickhoff,  Dr. William Steen,
and Mrs. Doris Paris have been most helpful in their explanation of toxic
organics reaction rates and enthusiasm for this project.   Special thanks  are
due to Mr. Lauren Johnson of The University of Iowa  Hygienic Laboratory for
transmitting unpublished data and Ms. Tina Swartzendruber and Ms. Kay
Chambers for preparation of this manuscript.

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                                 CHAPTER I

                    DIELDRIN IN CORALVILLE RESERVOIR:
                    MODEL DEVELOPMENT AND CALIBRATION
INTRODUCTION
     Agricultural usage of pesticides 1n Iowa is widespread, particularly
grass and broadleaf herbicides and row crop soil Insecticides   One of the
insecticides widely used for control of the corn rootworm and cutworm from
1960 to 1975 was the chlorinated hydrocarbon, aldrln.   Aldrin is microblally
metabolized to its very persistent epoxide, dieldrin.   Dieldrin is itself an
insecticide of certain toxicity and is also a very hydrophobic substance of
limited solubility 1n water (0.25 ppm) and low vapor pressure (2.7 x 10'° mm
Hg (? 25*C).   It is known to bioaccumulate to levels as high as 1.6 mg/kg wet
weight in edible tissue of Iowa catfish [1], Table 1-1,

     Aldrin application in Iowa during the mid-1960's  amounted to some 2.94
x Ifl6 kg/yr on 5.0 million acres  (2 x 10'" irr).  However,  the corn rootworm
grew increasingly resistant to aldrin and, after 1967, usage decreased across
the state by approximately one-half.  Finally, the pesticide was banned in
1975 and very little was applied after 1976.   Although aldrin was no longer
labeled, dieldrin residues in excess of the Food and Drug Administration
"action" level (0.3 mg/kg wet edible tissue)  were recorded  for Coralville
Reservoir fishes, and commercial fishing was  banned in 1975.   The problemwa-.
to determine the fate and transport of the pesticide dieldrin and to assess
when the rc-idual concentrations would be acceptable for commerical fishing.

     Coralville Reservoir is a mainstream impoundment  of the Iowa River in
Eastern Iowa.   It drains approximately 7978 km^ of prime Iowa farmland and
receives extensive agricultural runoff with 90% of its drainage basin in
intensive agriculture.   It 1s a variable-level, flood  control  and recrea-
tional reservoir which has undergone considerable sedimentation since it was
created in 1958.  At conservation pool  (680 ft.  above  msl), the Reservoir has
a capacity of 4.69 x 10? nr, a surface area of 1.98 x  10^ m?,  a mean depth
of approximately 2,44 m, and a mean detention time of  14 days.   In 1958, the
capacity at conservation pool  was 6.63 x 10'  m^.

     Several  models have been developed to assess the  fate  and transport of
agricultural  chemicals  including the Agricultural  Runoff Model  (ARM) [2],
the Nonpoint Source Pollution Model  (NPS) [3], the Stanford Research Insti-
tude Kinetic Model  (SRI) [4],  and the Exposure Analysis Modeling System
(EXAMS) [5].   The first two models are primarily designed to  simulate the
delivery of soil particles and agricultural chemicals  to the  edge of the
stream bank.   They make extensive use of the  modified  Universal  Soil  Loss
Equation and knowledge of the chemical  partitioning between soil  and water,
together with a given flood hydrograph.   The  SRI and EXAMS  models ar?

                                     1

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kinetic formulations which describe the chemical, physical  and biological
reactions which a pesticide can undergo once it reaches the water body.
Chemical hydrolysis, volatilization, photolysis, and biological  degradation
comprise the reactions considered in these models.   Instantaneous adsorption
and desorptlon equilibrium is also assumed.  Relative importance of the
pathways of pesticide fate (hydrolysis, volatilization, photolysis, biolog-
ical degradation, oxidation, and sorption) may be assessed  in the laboratory
[4].

     Previous models have not been extensively verified with field data, and
they have not combined fate and transport modeling with the biological
effects (bioconcentration).  In this research, a pesticide transport and bio-
concentration model is developed and applied to Coralvilie  Reservoir to
assess the fate and effects of dleldrin 1n the ecosystem.   Results have
aided the Iowa Conservation Commission in their decision to lift the
commercial fishing ban on November 7, 1979.

MODEL DEVELOPMENT

     A schematic of pesticide fate and transport within a reservoir is
presented in Fig. 1-1.  The solid lines are in accordance with the SRI  model
formulation [4].  Modifications in both the kinetics and transport (which
might add increased realism to the model) are represented by dashed lines.
A two-compartment or "pond" representation of the reservoir was  assumed since
there exist few in-reservoir data with which to calibrate a multi-
compartment model.  Fig. 1-2 gives the physical configurations of the
completely mixed compartments utilized in the model-  Coralville Reservoir
dimensions were used in the pond configuration for model calibration, and
simulations were later performed using the lake configuration as well.

     Although the field data reflect  individual storm events, the goal  here
was to represent annual average concentrations and mass flows.  Therefore,
constant annual average inflow and outflow rates were assumed, together
with an average annual volume for the reservoir.  Coralville Reservoir  does
not thermally stratify to any great extent, so the failure  to include a
hypolimnion compartment in the pond configuration is not viewed  as a serious
problem.

     In addition to chemical reaction pathways, fish uptake and  depuration
(excretion and metabolism) was included 1n the model.  The  bioconcentration
part of the model formulation is depicted separately in Fig.  1-3,  Biouptake
is proportional to the product of the fish biomass and the  dissolved pesti-
cide concentration.  Pesticide is removed by the fish as water passes the
gill membrane.  Biouptake from sediment and/or food (prey)  items could  also
be included in this portion of the model.  Here it is assumed that the
pesticide residue is metabolized within the fish, but in some cases it  may
be necessary to recycle the depurated pesticide as a dissolved input.

Mass Balance for Pesticides 1n Reservoirs

     The distribution of pesticides 1n reservoirs is established by applica-
tion of the principle of continuity or mass balance.  Each  phase, the

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dissolved and particulate, is analyzed separately, taking into account the
interaction with the other.   Thus for the dissolved component, the mass
balance includes various reaction pathways [4] in addition to the inflow and
outflow.  The basic differential  equation can be written to include the sum
of the first order or pseudo-first order reactions (hydrolysis, biological
degradation, biological  uptake, photolysis, and volatilization) as well as
adsorption and desorption kinetics as a function of particle size distribu-
tion:
in which

           V - reservoir volume,  I3

          W  = rate of mass Input of the dissolved component, M/T


          t  = mean hydraulic detention time,  T


           t = dissolved chemical concentration,  M/L3
       4

      .A  k-  = sum of  the first  order decay rate constants including the
      1-1   T    following:
          k


          k- =
 ;,  = ki [Bacteria] = pseudo-first order biological  degradation
     rate constant, T-1

 ,-  = kp [OH*] = base catalyzed,  pseudo-first order  hydrolysis
     rate constant, T"1

k,  = k; (quantum yield)  =  first  order dirsct photolysis rate
     constant, T"^

k.  = first order volatilization  rate constant,  T"1
       n
                                                             t^
         k,  - sum of the adsorption rate constants  for the j   size
      j=l   j   fraction,  n total  fractions,  L3/M-T
          M.  = suspended solids  concentration  in  the  j    size  fraction,  M/L3
           J
       =l  r . = sum of the desorption  rate constants  for  the  j    size
           J   fraction,  n total  fraction, T'1
         C   =  partlculate  chemical concentration  due  to  the  j    size
          pj   fraction,  M/L3.

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     If we do not partition the suspended solids  concentration into various
size fractions or if only one size fraction is  active in sorbing the chemical
of interest, then Equation 1  reduces to:



          f - T -    ' EkC ' kf MC + kr CP                           (2)
in which
          Ek = overall decay coefficient of the dissolved chemical,  T'1
For the partlculate chemical  concentration 1n the j    size fraction:
in which

          W   - rate of mass input of the parti cul ate adsorbed chemical  of
           pj   size fraction j, M/T

          k   = sedimentation coefficient of the j    size fraction,  T"1
            J

     Summing the total over j size fractions or if only one size fraction  is
considered, equation (1) reduces to:

          dC    Wn   C_
          _ E. = _E__E_kr_|,r+kMr                        (&}
           dt    V    t     s Lp    r Lp   Kf ML                        (*>
                      o       r       r
in which
          k  = overall sedimentation coefficient,  T"1

          kr = overall desorptlon rate constant,  T'1

          k, = overall adsorption rate constant,  L3/M-T

     Adding Equations 2 and 4 cancels the adsorption  and desorption  terms
and yields the rate of change of the total  concentration CT in terms of the
dissolved and particulate:
in which

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          CT = total concentration = C + C


           W = total mass input

     The sorption coefficients kf and kr are usually orders of magnitude
greater than the decay and transfer coefficients of the dissolved and
particulate phases.  Thus instantaneous local equilibrium 1s achieved
between the two phases - 1.e, the rates of transfer and decay are so low
that, comparatively, liquid-solid phase equilibrium is achieved very
rapidly.  The concentrations  C and Cp may be replaced by their equivalents
in terms of Cy providing that the adsorption Isotherm is known and that
equilibrium is achieved.  Linear adsorption isotherms have been reported
elsewhere [6].
            • Kp C                             ,                        (6)
in which
          K  * linear adsorption partition coefficient, (M/M)/(M/L3)


           r = amount of pesticide adsorbed per unit mass of dry sediment,
               M/M

It follows that C and C_ may be expressed in terms of Cj under conditions
of local equilibrium:  p



          C *
                 + K  M)


               CT KM

         C  "
          P   d + Kp M)


Substituting for Cp and C from the above relationships Into Equation 5 the
mass balance differential equation is:

          dCT   ,.,.»   CT      r.           k  K  M
          _ I . U(t)   _T      £k     r     s  p     -                 rq,
          dt  "  V   " tQ " 1  + K  M  LT ' 1  + K  M  LT                ^'


v/hich, under steady-state conditions may be expressed as;
          c  .  -     -                               (10)

               t + ^9* CEk + KPMI
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extend the analysis to a number of compartments  (such as  the lake con-
figuration of Fig,  1-2) with interflow and  bulk dispersive transport  between
compartments.   The equations are linear  and may  be  solved analytically or
numerically.

Bloaccumulation Model
     The bioconcentration model  follows  the  simple  kinetics of  Fig.  1-3.
The total pesticide concentration  is  the sum of  the particulate plus the
dissolved concentrations, with instantaneous sorptive  equilibrium assumed.
The total pesticide mass balance equation is identical to  Equation 9 except
it is written more concisely with  fractions:

          dCT   u/j.\   CT

                 V   'To-  <*k>fl  CT -  ksf2CT                .


in which


          f ,  - T&- = /,  .  „ — jry = fraction of dissolved pesticide
           i    LJ   \ i  + K.  n)
c  =
                       KM
                    (1  + K — FfT =  'frract''on  of particulate  pesticide
     The mass balance for the concentration  of pesticides tied up in fish
biomass per unit volume of water,  Cp  is:


          inf =ki  fi CT-  kdcF

in which

          k, • biouptaKe rate constant,

          k. = depuration rate constant, T"1

                  1 (dissolved fraction)        (k^day)
          k  =
           d   (Biomass)  (Fish Partition)    (kg  fish)  (yg/kg)
If one divides Equation 12 by the fish  biomass, a  final bioaccumulation or
fish residue equation results:

defining: dF= (k^cye)  - kdF                                      (13)

-------
          F = whole body  fish residue level, M/M wet weight

          B = fish biomass  concentration, M/L3 wet weight

The bioconcentration factor (BCF) between pesticide residue in  whole  fish
and the dissolved concentration  is the ratio of the biouptake rate  constant
to the depuration rate constant  divided by the fish biomass,  ki/k-jB.   If
pesticide is not metabolized in  the fish, Fig. 1-3 and Equation 13  are
modified to reflect excretion of pesticide back into the dissolved  phase.

     Equations 11  and 13  may be  solved analytically for constant coeffi-
cients and simple pesticide loading functions, W(t), or they  may be
integrated numerically.   In the  case of a pesticide ban, the  W(t) might
typically decline in an exponential manner due to degradation by soil
organisms.   For an exponentially declining loading function  at rate  a>, the
analytical  solutions to Equations 11 and 13 are:



       .   CT = CT  e"5* +—^  (ewt - e'6t)                         (14)
                 o         c
               ifi  -k,t  (CT_   CTin.   CTii
            -nre  °   I-T + -*r--rrj                      (15^

in which

          C-   =  initial total pesticide concentration  in  lake, ML"3
           'o

        ''Tin   =  initial total pesticide inflow concentration, ML"3
           o

           a>  -  rate of exponentially declining inflow concentration, T"1
           Y  -  kd - . - (1/t ), T-i
            6  -- « + (i/tQ), r1

            E  * «t  + 1 - u>t . dimensionless

            9  = kd - 10, T"1

-------
     The steady state solution to Equations 11  and 13 reduces to Equation 10
for the total pesticide concentration.  For the fish residue level  at steady
state, the solution to Equation 13 simply yields the fish partition coeffi-
cient times the equilibrium dissolved pesticide concentration.

Multicompartment Solutions

     Multicompartment solutions of Equations 11 and 13 must include inter-
flows and bulk dispersion as well aran assumption regarding suspended
solids and fish biomass distribution.  For each constant volume compartment:


          v^L


                -lv  +k  \ f r \i + K  f r v  + Fa fr
                  \Ke * Kna ' T9"T*   ^ca'^^a'a    tft \^a
                    s    pa   c i     sa & a a    —r—   a

where

          V e compartment volume (m )

         Cj = total pesticide concentration of  the compartment (vg/fc)


          t = time (d)

         Q, - inflow of water from adjacent compartment (m /d)
          d

         0.^ = outflow of water to adjacent compartments (m /d)


         C  = total pesticide concentration in  the adjacent compartment
          a   (ug/i)

         f^ = fraction of the total pesticide in the dissolved phase


         fg = fraction of the total pesticide in the particulate phase


        K,  = reaction rate constant for the dissolved phase (d" )


        K   = reaction rate constant for the particulate phase (d"  )


                                                         d-1


        k   = settling rate constant from the above compartment (d" )

                                                                      2
          E = bulk dispersion coefficient for adjacent compartmants (m /d)
                                                               o
          A * surface area between two adjacent compartments (m )
k  = settling rate constant of the compartment  (d"  )

                                                         "

-------
          j, = mixing length between midpoints of adjacent compartments (m)


         V. = volume of above compartment (m )
          a


     The general mass balance equation for the compartments can be reduced
to a general matrix equation, Equation 17.




                                 V

                                I—  u _J

                     v
where     i = subscript denoting adjacent compartments



          j * subscript denoting the j   compartment



         C; = total pesticide concentration in a compartment
          J



         C4 » total pesticide concentration 1n an adjacent compartment
          I-   /  j. \
       Q. -  - flow into compartment j (m /d)
         ' r J



       Q. .:  = flow out of compartment j (m /d)
        J»'


       f,   - dissolved fraction of a pesticide in compartment j




       f, .  = particulate fraction of a pesticide in compartment j
        ^ 'J



        K.  = sum of dissolved reaction rate constant (d"  )




        K   = sura of particulate reaction rate constant (d"  )
         pa



       k  .  = settling rate constant for compartment j (d'  )




       k  .  = settling rate constant from an above compartment (d' )
        s fj



       E. .  * bulk dispersion coefficient between adjacent  compartments

        1>J    (m2/d)

                                              2

         A.  = surface area of compartment j (m )
          J



       i- •  = length between the midpoints of adjacent compartments  (m)
        i 'J



                                     9

-------
           V-  = compartment volume (m^)
           J

           V.j  = volume of adjacent compartment (m )


 The  equations comprise a set of linear, ordinary differential equations
 which were numerically Integrated via a fourth order Runge-Kutta approxi-
 mation  technique.

 RESULTS AND  DISCUSSION

 Fate and  Transport

      The  first step 1n fate and transport modeling 1s to determine the
 predominant  reaction and transport pathways.  Coralville is a short
 detention time,  flood control reservoir with a mean annual hydraulic
 detention time of only 14 days.  This corresponds to a washout rate  of 0.0714
day''  or  approximately 7% of the dissolved material is exported through the
 outflow on an average day.  Washout is expected to be a major transport
 mechanism in Coralville Reservoir.  Other reaction rates and partition
 coefficients have been measured in laboratory studies and are summarized by
 pollutant in Tab. 1-2  Dieldrin should strongly adsorb to sediments and
 bioconcentrate, but degradation reactions are very slow.  Furadan^, a
 carbamate Insecticide, is quite reactive, but biological degradation should
 predominate  (Tab. 1-2),  Selected herbicides and insecticides of usage in
 Iowa are  listed in Tab. 1-2with their laboratory protocol rate constant,
 half-lives,  and partition coefficients.

      The  dieldrin time series of Fig, 1-4 (dashed line) is from monthly
 grab sample  data  collected by The University of Iowa Hygienic Laboratory
 and  indicates, a steady decline in the envelope of peak concentrations
 during  agricultural runoff events, as well as a decline in average annual
 concentrations.   It is believed that the decline in dieldrin from the
 Reservoir outlet  is due to the decreased aldrin application rates since 1967
 as well as the microbial degradation of dieldrin by soil organisms on the
 land,   Dieldrin loading rates in a small watershed runoff study from 1974
 have been computed and range from 1,0 x 10-11 to 1.0 x 10-9 kg/m2 . 
-------
     A sedimentation coeff cient (k?) of 0,18 per day was calculated from
suspended solids removal rates in the Reservoir while a partition coeffi-
cientof 6250 ug/kg per ug/1 (Kp) was estimated from field data [6].  The
average suspended solids (M) in the reservior from 1968-78 was 80 mg/1, so
KpM was 0.50, indicating the ratio between the partlculate and dissolved
pesticide.  Initially the total pesticide inflow concentration was 0.05
ijg/1, but it was assumed to decline exponentially thereafter.  The sum of
the first order and pseudo-first order rate constants for dieldrin are
believed to be quite small.  The sum of the volatilization, biolysis,
photolysis, and hydrolysis rate constants was assumed to be 1.7 x 10"4 per
day or a half life of 11 years.  At this rate, the decay reactions were
insignificant compared to the transport and sedimentation of dieldrin   The
pesticide 1s acting as an adsorbing, conservative substance and is tracking
the input loading function of Fig.  1-5.

     Fig. 1-6 presents the mass flux of particulate adsorbed dieldrin to the
bottom.  Solids were assumed to be permanently lost from the water column,
so the model fails to include scour.   Alternatively one could consider ks
to be an "apparent" or "effective"  sedimentation coefficient, the net result
of sedimentation minus scour.   The mass transport to the sediments involves
small quantities of pesticides, from 0.068 kg/day in 1968 to less than  0.014
kg/day in 1978, or about 46 percent of the total  dleldrin Input.   The rate
of decline in dieldrin transport to the sediment parallels, and is driven
by, the declining input function.   Sixty-four percent of the total dieldrin
in the inflow to the reservoir model  was in the particulate phase (KpM  =
1.79).   For a solids trap efficiency of 72% [20], a corresponding dieldrin
removal of 46% was indicated.

     A sensitivity analysis was performed in order to assess the  importance
?f the partition coefficient and is presented in  Fig.  1-7.   Fig.  1-7 indi-
cates that a several  fold increase  or decrease of KpM from  0.50 to 2.0  or
0.10, changes the totai  concentration by-47 and+49 percent,  respectively.
The participate fraction in Coralville Reservoir  is only 33 percent of  the
total dieldrin if KpM is 0.50 (0.33 =  (KpM)/(l+KpM)).   Kellogg and Bulkley
[1] indicated the same average in weekly samples  from the Des Moines River,
Iowa, during 1973.

     The  sedimentation coefficient  (ks) also affects the dieldrin removal  by
sedimentation.   Fig.  1-8 indicates  that an increase of the  coefficient  from
0.18 to 0.28 per day results in a decrease of total  dieldrin of 30 percent.
The mass  flux of dieldrin to the sediment (ksCpV) does not  fully  double
when the  sedimentation coefficient  doubles due toa decreased particulate
concentration in the reservoir, Cp.   This sedimentation coefficient
corresponds to a settling velocity  of ks times the mean reservoir depth, or
0,44 m/day.   The geometric mean diameter of a particle which settles at
0,44 m/day is about 3 jim, the  fine  silt/clay size range.  Although size
distributions have not been determined for particles  within Coralville
Reservoir, the mean particle  size  of the inflow  is  approximately 15 ym, a
silt size classification.   It  is expected that the mean particle  size of
the inflow should be greater than the mean size within the  Reservoir.
                                    11

-------
     Results presented in Figs- 1-4-8 did not include biological  uptake by
fish.  Fig. 1-9  1s  identical to Fig. 1-4 except for including the effects
of biological  uptake and metabolism.   Fish biomass and productivity in
Coralvllle Reservoir is extremely large, estimated at 1,000 Ib/acre (0.11
kg/m') (46 mg wet weight per liter at conservation pool).  Although the
fish biomass is large, the decrease in total  dieldrin concentration due to
uptake by fish was less than 0-002 ug/1  after 10 years of simulation.   This
fact is attributed to the rapid rates of pesticide washout and sedimentation
in Coralville Reservoir.

     Fig. 1-9 presents the model results and  field data  for dieldrin
residues  in sediment and the edible tissue of bottom feeding fish in
Coralville Reservoir.  F1sh taxa Include blgmouth buffalo, carp,  carpsucker,
catfish,  and channel catfish.  Fish were collected by shocking and were
subsequently filleted and analyzed [21,  22, 23].   Model  coefficients
i ncl uded:

          k, = 0.027/day             uptake rate constant


          k. = 0.0083/day            depuration rate constant

           B = 4.67 x 10'  kg/1      biomass  concentration

          FQ = 1150 ug/kg            initial  whole body  residue


          kg = 0.005/day             sediment biological  degradation

     A total of 1.4 percent per day of the dissolved pesticide is filtered
by bottom feeoing fish.  The rate constants are in relative agreement  with
those of Thomann [24].  The effective fish filtration rate was 600 liters
filtered  per kg of wet fish per day and  was utilized in  the estimation of
k-j.   The  partition coefficient between fish and water was estimated from
field data to be 70,000 ug/kg per yg/1.   Note that this  is more than ten
times the equilibrium partition coefficient for dieldrin  between  suspended
solids and water.  Dieldrin concentrates in bottom feeding fish due to
large uptake and relatively small  depuration  rates.

     The  sediment compartment receives the mass flux of  dieldrin  depicted
in Fig. 1-6 due to sedimentation.   The mass of dieldrin  in the sediment is
strongly  partitioned into the particulate phase by adsorption.  The ratio
of particulate dieldrin to dissolved dieldrin is equal to KpM or  approxi-
mately 2,000,  assuming a solids concentration in the sediment of 0.32  kg/a.
The decline in sediment concentration follows the declining mass  input rate
to the sediment (Fig, 1-6), but it also  biodegrades  at a  rather slow rate
of ^0.005 per day.   Biodegr*dation in the sediment compartment 1s assumed  to
occur for both dissolved and particulate dieldrin.

     Bioconcentration of hydrophobic pesticides 1n Coralville Reservoir
fish is directly proportional to the oil or lipid cpntent of the  catch.
By normalizing all  of the fish residue data on an oil basis, it is possible

                                     12

-------
to use Equations 12 and 13 to simulate all  taxa of fish simultaneously.
The oil content is the fraction of the total  wet weight which is extract-
able with petroleum ether   Fig. 1-10 presents results for all  fishes in
which a measurement of oil content was performed.   While the data are
sparse, it appears that such a simple bioconcentration model  has validity.
The only difference between the simulations depicted in Figs  1-9 & 10 is
the biomass (wet weight vs. oil) and the corresponding BCF factor (in fish
flesh vs.  oil).  The uptake and depuration  rates remain constant.

     The results of Figs. 1-9 and 10 indicate that the average  catch no
longer exceeds the FOA action level of 300  yg/kg residue.   Uptake by fish
accounts for almost 10% of the inflow dieldrin loading, while ^42% of the
inflow undergoes sedimentation to the bottom  of the reservoir,  and 48% is
exported through the outflow.   The partitioning of dieldrin in  the water
column is 64% in the fish, 24% dissolved 1n the water, and less than 12%
adsorbed to suspended sol Ids.   Sediment and fish (and fish oil) are essen-
tially 1n equilibrium with mean dissolved dieldrin concentrations.   If
biouptake is ignored in the model or if depurated  dieldrin is not metab-
olized but rather returned to the dissolved phase, then the transport in
the outflow is 54% and the net sedimentation  1s 46% of the total  dieldrin
load.

Eight Compartment Model

     Results of the eight compartment model are presented  in  Figs.  1-11  and
12.  Field data were not available for each compartment.   The field site of
Fig. 1-11  is downstream from the Reservoir  at Iowa City and most closely
represents the hypolimmon compartment 6 and  the epiUmmon compartment  3.
There appears to be good agreement between  model  results and  field observa-
uions.

     The addition of compartments to the model  provides insight into the
dynamics of dieldrin transport, scour, and  deposition.   The only difference
between the two compartment and the eight compartment model  was that a small
amount of scour was Introduced into the sediment compartment, resulting  in
a lower net sedimentation rate.  Compartmentalization of the  system roughly
offset this effect.  Resulting dieldrin concentrations in  the dissolved,
particulate, and sediment phases all  decreased proceeding  downstream through
the Reservoir, a result of sedimentation from the  water column  of a progres-
sively lower particulate dieldrin concentration.   A check  on  the  mass balance
of solids  1n the reservoir model  indicated  that sedimentation was  greater
than scour, which is also true of the prototype system.  Scour  of dieldrin
from the sediment to the water was a small  but significant contribution  to
the TGSS balance at the sediment-water Interface.   Bulk dispersion coeffi-
cients in  the vertical  and longitudinal  directions were 9.3 x 10"4 and
4.6 x 10"* m^/d, respectively, with a dispersive scour at  the sediment-
water interface of 1.5 x 10"*  m^/d.

     The addition of compartments to the model  is  not an arbitrary choice.
It should  reflect the physical  geometry of  the prototype and/or the
estimated  dispersion pattern.   Assuming a longitudinal  dispersion  coeffi-
cient of -v4 mi2/day, it 1s possible to estimate the proper number  o*

                                     13

-------
longitudinal  compartments necessary to reflect this  degree  of dispersion.
For Coralvilie Reservoir, approximately 10 reactors  in  series would  be
required disregarding any bulk dispersion between  compartments.   As  you
increase the number of compartments, the model becomes  more "plug-flow"  in
nature.   Since a greater amount of material  will settle out in a  "plug flow"
system,  it would be necessary to decrease the sedimentation rate  constant  to
reflect  the field data-

Unsteady Flow Simulations

     Errors are generated in the annual  average, steady flow simulations
(Figs. 1-4-12).  Mass fluxes are underestimated by  using annual  average
flowrates and calibrating the model output with annual  average water
concentrations.  For this reason an unsteady flow  simulation was  performed
for dleldrin in Coralvilie Reservoir during 1976.   Inflow and outflows
are shown in Fig. 1-13.   Note that the reservoir volume was drawn-down from
February - May and subsequently refilled.  Input of dieldrin was  unmeasured,
so this  calibration involved fitting the measured  output dieldrin concen-
tration  by adjusting the inflow concentration (Fig.  1-14).   Mass  flux  to the
sediment (Fig. 1-15) is  approximately 5% larger than that of the  steady
flow results if they are run with comparable input loadings.   Such errors
would be even larger for simulations with time variable loadings  of  suspend-
ed solids.

     If the goal is to accurately reflect mass fluxes of sediment and
dieldrin, then one must  use a fully time variable  approach.   If annual
average  exposure concentrations are all  that is required, then a  steady  flow
approach similar to Figs. 1-4-12 is warranted.

     The mass flux to the sediment shown in Fig,  1-15 provides information
about seasona" variations that is not possible with  annual  average simula-
tions.  It has been observed that fish,  especially bottom feeding fish,
reach peak residue levels of dieldrin and other insecticides in June.   This
is due to higher dieldrin concentrations in the water as well as  more
recently contaminated sediment following spring runoff.

SUMMARY

     Fate and transport  of the pesticide dieldrin  has been  simulated in
Coralville Reservoir.  From the dieldrin analysis  it was determined  that
40% of the dieldrin inflow to Coralville Reservoir is lost  to the bottom
via sedimentation and 50% is released through the  dam gates of this  short
detention time Reservoir.  Uptake by fish accounts for  about 10%  of  the
dieldrin input due to the extremely large biomass  of biota, 1000  Ib/acre.
The partitioning of dieldrin in the water column is  64% in  the fish, 24%
dissolved in the water,  and less than 12% adsorbed to suspended solids.
Mean residues in the edible tissue of bottom feeding fish declined below
the FDA  guideline of 300 ppb.  Fish and  sediment concentrations are
essentially in equilibrium with mean dissolved dieldrin concentrations.
Under low flow conditions, the sediment  becomes a  net source for  pesticide
in the Reservoir via desorption and pore water diffusion.
                                     14

-------
     It was determined that bottom feeding fish bioaccumulate dieldrin in
proportion to the oil content (petroleum ether extraction) of the fish
sample.  Therefore averages or composites of very oily fish tended to be
higher than model predictions.  The prospect for a continued decline in
dieldrin residues is good.  Model projections indicate that by 1986, the
residues in bottom feeding fish flesh should average less than 100 ug/kg-
Research follows in the next chapter on the role of sediment water inter-
actions and food items on the bioaccumulation potential  of the fishery.
                                   15

-------
                                REFERENCES


 1.   Kellogg, R.  L.;  R.  V.  Bui key.   Seasonal  Concentrations  of Dieldrin  in
     Water,  Channel  Catfish,  and Catfish  -  Food  Organisms,  Des Moines  River,
     Iowa -  1971-73.   Pesticides Monitoring Journal.   1976,  9, 186-194.

 2.   Smith,  C.  N.;  R.  A.  Leonard; G.  W. Langdale;  G.  M.  Bailey.   Transport
     of Agricultural  Chemicals  from Small Upland Piedmont Watersheds.
     EPA-600/3-78-056, U.S.  Environmental Protection  Agency, Washington,  D.C.
     1978, 1-364.

 3.   Donigian,A, S.  Jr;  N.  H.  Crawford.   Modeling  Nonpoint  Pollution  from
     the Land Surface.  EPA-600/3-76-083, U.S.  Environmental Protection
     Agency, Washington,  D.C.  1976, 1-280.

 4.   Smith,  J.  H.;  W.  R.  Mabey; N.  Bohonos; B.  R.  Holt;  S.  S.  Lee;  T.  W.
     Chou; D. C.  Bomberger;  T.  Mill.   Environmental Pathways of Selected
     Chemicals  in Freshwater Systems, Part  I:  Background and Experimental
     Procedures.   EPA 600/7-77-113, U.S.  Environmental  Protection Agency
     Washington,  D.C., 1977,  1-81.

 5.   Lassiter,  R.  R.,  G.  L.  Baughman; L.  A. Burns.   Fate and Toxic  Organic
     Substances in the Aquatic  Environment.  In: State-of-the-Art in
     Ecological Modelling,  S.  E  Jorgensen, ed., International Society
     of Ecological  Modelling, Copenhagen, Denmark,  1979, 7,  211-246.

 6.   Karickhoff,  S.  W.,  D.  S.  Brown, T. A.  Scott.   Sorption  of Hydrophobic
     Pollutants on Natural  Sediments.  Water Research,  1979, 13, 241-248.

 7.   Dexter, R. N.  Distribution Coefficients of Organic  Pesticides  in
     Aquatic Ecosystems.   Agreement B-62522-B-L, Battelle Pacific Northwest
     Laboratories,  Richland,  Washington,  1979,  1-38.

 8.   Veith,  G.  D.  Predicting the Bioaccumulation Potential  of Organic
     Chemicals.  Abstracts,  Third International  Symposium on Aquatic
     Pollutants,  Jekyll  Island, Georgia,  October,  1979,  18.

 9.   Zepp, R. G.,  N.  L.  Wolfe,  L. V.  Azarraga;  R.  H.  Cox; C. W.  Pape.
     Photochemical  Transformation of the  DDT and Methoxychlor Degradation
     Products,  DDE and DMDE,  bu Sunlight.   Archives of Environmental
     Contamination and Toxicology,  1977,  6, 305-314.

10.   Wolfe,  N.  L.,  R.  G.  Zepp;  D. F.  Paris; G.  L.  Baughman;  R. C.  Hollis.
     Methoxychlor and DDT Degradation in  Water;  Rates and Products.
     Environmental  Science and Technology,  1977, 11,  1077-1081.

                                     16

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11,  Wolfe, N. I,; R. 6. Zepp, D. F. Paris.  Carbaryl, Propham and
     Chloropropham;  A Comparison of the Rates of Hydrolysis and Photolysis
     with the Rate of Biolysis.  Water Research, 1978, 12, 565-571.

12.  Steen, W. C.; D. F. Paris; G. L. Baughman.  Effects of Sediment
     Sorption on M1crob1al Degradation of Toxic Substances.  Proceedings
     of Symposium on Processes Involving Contaminants and Sediments,
     American Chemical Society National Meeting, Honolulu, Hawaii, April,
     1979.

13.  Khan, S. U.  Kinetics of Hydrolysis of Atrazlne In Aqueous Fulvlc Acid
     Solution.  Pesticide Science, 1978, 9, 39-43.

14.  Zepp, R. G-; D.  M. Cline.  Rates of Direct Photolysis In Aquatic
     Environment.  Environmental Science and Technology, 1977, 11, 359-366.

,15,  Spade, A.; J. L- Hamellnk.  Dynamics of Trifluralln Accumulation in
     River Fishes.  Environmental Science and Technology, 1979, 13, 817-822.

16.  Mackay, 0., P. J. Leinonen,  Rate of Evaporation of Low Solubility
     Contaminants from Water Bodies to Atmosphere.   Environmental  Science
     and Technology,  1979, 9, 1178-1180.

17.  Schooley, A. H.   Evaporation in the Laboratory and at Sea.  Journal
     Marine Research, 1969, 27, 335-340.

18.  Hartley, G.  S.  Evaporation of Pesticides.  In:  Pesticidal Formulations
     Research, Physical, Collodial, Chemical Aspects, R. F. Gould, ed.,
     Advanced Chemistry Series. 1969, 86, 115-134.

19.  Ruiz Calzada, C. E.   Pesticide Interactions in Iowa Surface Waters,
     thesis presented to The University of Iowa, Iowa City, Iowa in 1979,
     in parc.al fulfillment of the requirements for the degree of Master
     of Science.

20.  O'Connor, D. J., J.  L. Schnoor.   Steady State  Analysis of Organic
     Chemicals & Heavy Metals in Reservoirs and Lakes.   Submitted  to
     Environmental, Science and Technology, 1980.

21.  Mehta, S. C.  The Limnological  Factors Affecting Pesticide Residues in
     the Iowa River and Coralville Reservoir, thesis presented to  The
     University of Iowa,  Iowa City,  Iowa, in 1969,  in partial  fulfillment
     of the requirements for the degree of Master of Science.

22.  Frietag, J.   Fish Pesticide Residues in Coralville Reservoir, thesis
     presented to The University of Iowa, Iowa City, Iowa, in  1978, in
     partial  fulfillment of the requirements for the degree of Master of
     Science.

23.  Johnson, L,  G.   Pesticides in Iowa Surface Waters.   ISWRII-83, Iowa
     State Water Resources Research Institute, Iowa State University, Ames,
     la.,  March,  1977, 1-117.

                                    17

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24.   Thomann, R.  V.  Size Dependent Model  of Hazardous Substances In
     Aquatic Food Chain.  EPA-600/3-78-036, U.S.  Environmental Protection
     Agency, Washington, D.C., 1978, 1-40.
                                     18

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                                                 Ct    Cl
                                               MEPTACML.OR
          Cl
         CHLORDANE
                                              DOE
                           CH,—CH,
                                      OVFON*TE
         CH, — CH,
         CH,—CH, —0

                        — 8 —
                                    S - CH? - CH,,
                            THIMET
Table  1-1,   Chemical Structures of Selected Iowa  Pesticides
                               19

-------
CHj
CH
          0—C—NH—CH,
       FURADAN
 CH,
      ATRAZINE
           —I—CHJC1
   'CHZCH, CHZ   0
          0
          I
         CH,
        LASSO
         Cl

       r\    /"'
CjHjHN—Iv^ ^—NH C	CS
                   CH,
        BLADEX
                        CF,
                     TRIFLURALIN
                Table  1-1.   (Cont.)
                        20

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TABLE  1-2.   PHOTOLYSIS,  HYDROLYSIS, BIOLYSIS, AND SORPTION COEFFICIENTS FOR SELECTED  IOWA PESTICIDES

OUKrlo
001
DIE
r«r,*n
»r'»"*lt. iMme
Cwlrr
4lr.,ln.
Cy.oMln,
1****
TreM.n
Hf»r Sui-flCf Alk»lln; .. . .
D\rtcl Ph»trly>1» Chem'ol Hyd"»lyM» • '"

< t t >10.000
t t
07 1 -10'3 100» t t
0003 ^Ocf113 6"10'5 >l.,»f113 -ID'" -3CU]
I. -f * 10'4 >365 4-10' '" -9L12.

, ,s [13] ,,
9-l»'B »1.000 10' I0 7'2 -JO'1 35
>3*5 -10'" 35
ritt1 >365 -3"10'" 12
0 »3 22 f *
Sedlnent/HjO
P»rtH1»n Off
pay kg le> p>»>»Hf rr»cH»n i/f unknown rile

-------
 SRI MODEL
 MODIFICATIONS
 POSSIBLE
Figure  1-1.   Pesticide Fate and Transport
                      22

-------
                          -ZO km-
                 E '
                 *
                 cu
                ti
                 f
                 f
                10
                6

       —J
         50OO"-
             A
   1  / 1  1
  ">
  o
2-COMPARTMENT POND
                                      8-COMPARTMENT LAKE
p-7800.
r


2
»— -•
/

*T
tf





pTSQO-
/

>
3
                                                 OUTFLOW
                                 I   I WATER COMPARTMENT

                                 JSM\ SEDIMENT COMPARTMENT
Figure 1-2.  Physical  Configurations of the Reservoir  Model
                             23

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                      Input
           Rapid
           Sorptive
           Equilibrium
Sedimentation
                                                                   Metabolites
  Zk
V Hydrolysis
  Biolysis
  Photolysis
  Volatilization
 Figure  1-3.   Bioaccumulation Kinetics of the Pesticide Transport Model
                                      24

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                                              CORALVILLE OUTFLOW

                                                 «*0.164/yr
           £/ ^ PART ICUL ATE
           Uu—1—VJ	1—
           r%I  f*+*.  I   ^^^ I   -
0.0
         68
Figure 1-4.  Model Results for Dieldrin Concentration in the Coralville

            Reservoir Outflow
                               25

-------
^006

 o>





  005
gO.04



O
O


§003
5 0 02
cr
o
UJ
   001
  O.OO
«=0.164/yr
                                                             o
                                                             33
                             0.3
                                 1
                             0.2 ife
                                 z

                                 cr
                                 o
                            YEAR
 Figure  1-5.   Input Loading Function to Coralville Reservoir
                               26

-------
    o
    5  01°
    o
    UJ
    in
    0  0.05

    UJ
    Q
    CO
    en
      000
           68I69'70I71I72I73I74I75I76I77'78I79I80I81I82I83I84I
                               YEAR
Figure 1-6.   Calculated Mass  Flux of Dieldrin to  the Sediment
                               27

-------
                                        CORALVILLE OUTFLOW
                                            <•»» 0.164/yr
                                             s = 0,18/d
                                            T= 14 d
                                KpM=0.50
                                     KpMM.OO
      68
Figure 1-7.  Sensitivity Analysis of the Effects of the Partition
           Coefficient, K
                              28

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                                        CORALVILLE OUTFLOW
                                           «=<0.164/yr
                                           KPM -- 0.50
                                           T-- 14 d
 0.0
                               YEAR
Figure 1-8.  Sensitivity Analysis of the Effect of the Sedimentation
           Coefficient, Kc
                               29

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                    0.06 \-
                                                  CORALVILLE OUTFLOW
                                                  u"0.164/y»
                                                  k,'018/d
                                                  r • 14 d
                                                  CT!»,' 0 05/ig/l
                                                  K,M»050
                                                 SEDIMENT COMPARTMENT
                                                 kr • 0 005 AJ
                                                   FIELD DATA, Xi I.

                                                 rm MODEL RESULTS
                   1*00 |-
            19 ' 79

BOTTOM FEEDING FISH
ki'0027/d
    0083/d
                          300/tg/kg'
                          FDA ACTION LEVEL
Figure 1-9.   Field Data and Model  Results for  Dieldrin in Coralville Reservoir.
              Numbers represent  the number of data  points and percentages are
              the percent oil  or lipid content  of the catch.
                                          30

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° 16,000
o>
je
o»
« 12,OOO
(T
2
CO
^ 8,000
0
CO
UJ
or
? 4,000
CE
a
UJ
a
0
GAME* BOTTOM
A
' ^
• X
4(
-

S
)

-



^ S


-

FISH
$ FIELD DATA, X±]s
	 MODEL RESULT
kT - 0.027/d

i
<
s
kd* 00083/d
B« 374 ^ 10" *
BCF*
}4
^^s^
^^


871,000

T
^^^
1 76


kg//


L_
i~~
i
68 ' 69 ' 70 ' 71 ' 72 ' 73 ' 74 ' 75 ' 76 ' 77 ' 78 ' 79 ' 8O '
YEAR

Figure 1-10.  Field Data and Model Results for Dieldrin in Coralville
              Reservoir Fish, Normalized on an Oil Basis,
                                      31

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               300400



               O
                 0 0300
               z
               UJ
               o
                 00200
               ac
               o
               _i
               UJ

               O 00100
                 ooooo
CORAUVILLE WATER COLUMN

   «u» 0.164/yr


   k,« 018/d

   CT,BO 005^g/| 1968


   KPM = 0 50


    OUTFLOW DATA, X + l$


       MODEL RESULTS
                                                EPILIMNION
                                                   HYPOLIMNION
                                I _. I.
            -1	1	h
                       68  69 70 71 72  73  74 7S 76  77  78  79 80

                                         YEAR
Figure 1-11.  Eight Compartment Model Results  for  Dieldrin in the Water Column,
                                      32

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      1000 -
 CORALVILLE SEDIMENT
 KrM»200O
 k2'0005/d  $»d.
J FIELD  DATA, X±l»
 	 MODEL RESULTS
            68  69 70  71  72  73 74 75  76  77 78 79
       000
Figure 1-12,   Eight  Compartment Model Results for Adsorbed
              Dieldrin  on  the Sediment
                             33

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O


O
15,000 -
                       VOLUME, INFLOW AND OUTFLOW
                         IN CORALVILLE LAKE,  1976
                                    	 VOLUME
                                    	INFLOW
                                    	 OUTFLOW
O
  10,000 -
O
   5,000 -
                              1   I   !   I   I  7
             JAN1 FEB1 MAR1 APR! MAY1 JUN1 JUL1 AUG1 SEP1 OCT1 NOV1 DEC1
          Figure 1-13.  Input Data for Unsteady Flow Simulation
                               34

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n


2*0

X
CO
a. ,
  20
UJ
o

O
o
a.
   10
10


2 20
CD
a
    DIELDRIN IN CORALVILLE LAKE,

                 1976

  	INPUT CONCENTRATION (MODEL)

  	LAKE  CONCENTRATION (MODEL)

   V   LAKE  CONCENTRATION
       (OBSERVED)


  ZK = 6*1O'S DAY''

  K, • 0-18 DAY'1

|- Kp ' 6250

  M = 80 mg/jf
UJ
o

o
o

UJ
        i   i   i   r  T
                                            i    i   ri
          JANl FEB1 MAR1 APftl MAY! JUN1  JUL1  AUG1 SEP1 OCT1 NOV1 DEC!
          Figure  1-14,  Model  Results for Unsteady Flow
                               35

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        DIELDRIN IN  CORALVILLE LAKE,  1976

             MASS FLUX TO  SEDIMENT
     t  T  t   1    1    I    1    1    1    1    1
JAN1 FEB1 MAR1 APR1 MAV1 JUN1 JUL1  AUG1 SEP1 OCT1 NOV1 DCC1
 Figure 1-15.   Unsteady Mass Flux  to the Sediment
                      36

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                                CHAPTER II
                  SEDIMENT, WATER AND BIOTA INTERACTIONS
             OF THE PESTICIDE DIELDRIN IN CORALVILLE RESERVOIR
INTRODUCTION

     Dleldrin Inputs to Coralville Reservoir emanated as nonpoint source
runoff after the application and mlcrobial  epoxldation of the insecticide
aldrin.  Aldrin and dieldrin were banned by the U.S.  Environmental  Pro-
tection Agency (EPA) in 1975.   As applications of aldrin decreased  between
1965 and 1975 due to insect resistance,  therewasa corresponding decrease
in total dieldrin 1n water samples(Fig.  II-l).   Peak  dieldrin concentrations
in the water column generally correlated with high flows and turbidity
(suspended solids).

     A hypothetical scenario for the "self-purification" of an impoundment
after pollution by a hydrophobic, persistent, toxic organic is depicted  in
Fig. II-2.  As with dieldrin in Fig. II-l,  the concentration of toxin in the
water column decreases after the discharge  decreases.   For a period,  fish
bioconcentrate the toxic from the dissolved phase --  they "track" the water
column with a slight time lag on the order  of a few weeks to a few  months.
The rate of sediment contamination depends  on the rate of deposition  of
suspended solids and the mixing characteristics of sediment and water.   As
the water column concentration and fish  residues  decline, there is a period
when tht f-sh body burden is taken predominantly from sediment ingestion and
other food items.   This occurs due to the low concentration in the  water and
lagging sediment and biota residue levels.

     Finally even the sediment declines  in  concentration due to desorption -
diffusion into the water column and due  to  sediment burial  and mixing.   It
is the last phase of the scenario of Fig. II-2 that best describes  the cur-
rent situation 1n Coralville Reservoir for  dieldrin,  chlordane, DDE,  and
heptachlor epoxides.   All  of these chemicals  have been banned, yet  all of
them continue to bioaccumulate to objectionable levels in fish despite
water concentrations below detection limits in  most cases.   One of  the
chemicals, DDE, is apparently generated  by  dehydrochlorination in sediment
and -.s slow to decline.  A more detailed analysis of  the dieldrin field
data in Coralville Reservoir provides evidence  of the importance of sedlment-
water-biota interactions.

FIELD OBSERVATIONS

     Dieldrin is declining 1n  the Coralville  Reservoir outflow.   Both the
annual  average concentration,  the annual  maximum concentration, and the
coefficient of variation have declined since 1969 (Tab. II-l).   From1965-1975,

                                    37

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peak concentration:, occurred after spring application and runoff.   Pre-
sently the peak annual dieldrin concentration  is  much smaller (-vO.010
vig/x.) and can occur any time throughout the year.   Often peak concentra-
tions are still associated with high flows, but "background" concentrations
and baseflow concentrations are nearly as large as the annual peak.   The
reservoir system 1s being "buffered" by inputs from the sediments  during
moderate flow and low flow conditions.

     Suspended solids in the outflow from Coralvllle Reservoir correlate
strongly with flow, as can be determined from the time series of Fig.  II-3
This is due to higher shear stress near the bottom of the Reservoir  during
high flows and due to increased sediment carrying capacity.   Partheniades
[1] showed the relationship between average bottom shear stress and  rate  of
erosion of bed sediment (Fig. II-4).  Unfortunately the power of the rela-
tionship of Fig. II-4 (n = 1 to n = 3) has been shown to vary widely among
various cohesive sediments and Investigators.  It is virtually impossible
to predict the rate of scour a^ priori without very detailed knowledge of the
cohesive sediment properties (e.g. tensile strength, plasticity index, clay
content, compacted density, etc.)

     Because of scour and resuspension of bed sediment, bank erosion,  and
increased sediment carrying capacity, dleldrin loading and suspended solids
loadings are highly correlated as shown 1n Fig. II-5.  It is interesting  to
note that during the 100-year drought of 1976-1977, stream flows carried
negligible solids, but the dieldrin loading  was nevertheless significant
(Fig. II-5).  This is even more evident in Fig. II-6, showing the  relation-
ship between suspended solids loads and total dieldrin concentration.
During the drought years, 1976-77, the dieldrin concentration was  quite
significant.  It was predominantly dissolved dieldrin from sediment  desorp-
tion and dissolution.  This illustrates the buffering effect that  sediments
can have on the water column years after the primary source of dieldrin was
curtailed.  While it does not amount to a large mass of dieldrin,  it is a
significant exposure concentration for fish bioconcentration.

     Sediments are historically contaminated with dieldrin,  but the  degree
of contamination has decreased since the ban 1n 1975.  A typical upstream
sediment core 1s shown 1n Figs. II-7 and II-8.

     In sandy substrates, such as the inflow delta, finer material  is
deposited near the surface of the sediment under low flow, ice-covered
conditions.  This fine silt is characterized by high organic content and
volatile solids greater than 10X.  In these locations one observes a maxi-
mum dieldrin concentration in surficial sediments(Fig. II-8a).  The  bed is
continuously being reworked each year, and the fine silts will be  subse-
quently scoured, resuspended, and deposited downstream.  An  interesting
feature of  Fig. II-8b is the relatively constant sediment concentration with
depth on a volatile solids basis.  There are some indications that the
sediment is disturbed enough to create rather uniform concentration  profiles
on a volatile solids basis.  This could indicate thermodynamic equilibrium
is achieved in mixed sediments.
                                    38

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     The site of Figs. II-7 and 8 Is characterized as one of intermediate
deposition located near the inflow to Coralville Reservoir.   Bed surfaces
would be subject to scour and resuspension.   A low density of nematodes  and
Chironomid  sp. were observed in the core samples.   However bioturbation of
these areas is expected primarily by carp and other bottom feeding fish
which are 1n abundance.  Carp, carpsucker, red horse, and buffalo are known
to work the sediments 1n this area.   Model results  indicate that bioturba-
tion of this sort can serve to increase the sediment flux of contaminants by
several fold.

     A point in contrast is the sediment concentration profiles  in highly
depositing basins of the reservoir.   In Coralville  Reservoir,  the annual
average deposition is 5.8 cm/year.   In deep, highly depositional  zones,  the
high rate of sedimentation of cohesive sediments precludes a great degree
of mixing.  Field data, although it  is sparse, supports the conclusion that
some degradation of dieldrln is occurring 1n the sediment — otherwise
sediment concentration profiles would be considerably larger.   Interstitial
waters track the sediment concentration very well.   Diffusion  and sorption
of dissolved dieldrin to the sediment from the water column may  occur if
sediment degradation reactions decrease sediment and Interstitial  concen-
trations as shown.   Otherwise the sediments  serve as a source  of dieldrin to
the water column by scour/resuspension, and  desorption/diffusion.

MODELING SEDIMENT-WATER INTERACTIONS

Compartmentalization

     The model of Schnoor [2] and Schnoor and McAvoy [3] was further
developed to include a variable sediment volume (sediment burial)  and was
extended to 25 compartments.   Fig.  II-9 is a schematic of the compart-
ment. Mzation.

     The average longitudinal  dispersion coefficient in Coralville
Reservoir was estimated from the formula by  Liu [4] to be approximately
4 mi2/day.  Twenty-five compartments would yield a  numerical dispersion  of
this same magnitude according to Equation 18;

          c    UAX   /,  UAt \                                          ,,_.
          Ex *~r  I1--AT)                                          08)

where     E  * longitudinal  dispersion coefficient, L2/T

           u = mean velocity,  L/T

          AX = compartment length, L

          At s time step, T

Therefore, no bulk  longitudinal  dispersion was  required in  the model  since
compartment volumes were chosen such that the artificial  dispersion would
approximate the 1n-situ estimated dispersion.

                                    39

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Solids Balance

     Vertical bulk dispersion was required to scour and resuspend solids
from the soil compartment to the hypolimnion and epilimnion compartments.
The vertical dispersion coefficient (Ez = 1.0 x 1Q"1* m2/day) and the sus-
pended solids sedimentation rate constant (ks - 0.4/day) were determined
from a solids balance that was performed prior to the dieldrin simulations
using the program TOXIC,  The Appendix provides the user documentation for
TOXIC.  (Note:  it is possible to perform the mass balance on suspended
solids and sediment using the model TOXIC by assigning a high partition
coefficient (1^1,000,000) and zero degradation rate (ik = 0).  Thus it is
possible to determine the appropriate suspended sol Ids concentrations,
sedimentation rate constants, and vertical dispersion rates provided that
one knows the total sediment loadings and net deposition rates or trap
efficiency.)  It 1s Imperative to have accurate knowledge of the solids
mass balance in order to simulate a hydrophobic toxic,,je.g. dieldrin.   Mass
must be conserved.

     The solids balance for the simulations 1n Chapter I  utilized a bi-
weekly average inflow concentration of suspended solids of 241 ug/x,, a trap
efficiency of 72%, and consequently an outflow concentration of 79 yg/£.
The required sedimentation rate constant was determined from the solids
balance to be 0.18/day.

     The capacity of Coralvilie Reservoir was resurveyed in 1958, 1967, and
1975.  From the most recent sediment survey data and from daily, flow-
weighted suspended solids loadings at the inflow to Coralville Reservoir
(at Marengo, Iowa), it was determined that the true solids trapped were
i<4 x 106 kg/day with an average annual inflow concentration of 1£20 mg/x,.
Large errors can result in the mass flux of both solids and toxics if
loadings are averaged from infrequent measurements.

     The modeling application here is quasi-dynamic-- the approach utilizes:
1) steady, annual average flow (from daily measurements) for long-term
simulations, 2) steady, annual average, flow-weighted solids (from daily
suspended solids measurements), and 3) time-variable toxicant loadings.
Researchers must choose whether to simulate annual average concentrations
of solids and toxics (to assess biological exposure) or whether to simulate
accurately the mass fluxes to the sediment and outflow.  If it is important
to know both the mass flux and the exposure concentration accurately,  then
one should use a fully time variable model with daily (or more frequent)
inputs.

     In addition to utilizing the model TOXIC for solids balances, a series
of simple interactive programs were developed for performing solids
balances in two-compartment (sediment and water) reservoirs:

     1) TWOCOMP - a constant volume compartment model  for sol Ids which
        interactively calls for desired simulation time, input suspended
        solids concentration, sedimentation concentration, and a vertical
        bulk dispersion coefficient
                                     40

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       2) TWOCOMP1  -  a variable volume compartment model  for solids which
          interactively calls for the above information plus the "volume
          increase  factor" of the aggrading sediment comparmtent (a volume
          increase  factor of 2 will  double the sediment volume linearly
          during the  duration of the simulation)

       3) PEST!  - a two-compartment  pesticide model  which utilizes  the sus-
          pended solids concentrations generated  by the model  TWOCOMP or
          TWOCOMP1

  Examples of these models appear 1n the Appendix.

  Pesticide Balance

       The final results for the PEST1 or TOXIC two-compartment model  are
  presented in Tab. 11-2,  In this simulation, the volume of the sediment
  compartment Increased at an annual  rate of 5.8  cm/yr, the  average rate
  computed from the sediment resurvey of Coralville Reservoir  by the U.S.
  Army Engineers, Rock Island District.   Results  presented in  Tab.  II-2 are
  quite similar to  previous results  of the eight  compartment model  from
  Chapter I.   Model results of Tab.  II-2 are in general agreement with field
  observations except for the sediment residue levels  (yg/kg)  which are low
  by a factor of 2-4.   This is easily corrected 1f we  decrease the  rate of
  degradation in the  sediment to zk  = 0.0026/day.  Since the  rates of degrada-
  tion Qf sorbed toxics are often uncertain,  £k becomes a sensitive para-
  meter about which more needs to be known.

       Tab.  II-3 details the results of the 25 compartment model  with  a sedi-
  ment degradation  of Ik = 0.0026/day and a three-fold larger  inflow concen-
  +ration than used in Tab.  II-2.  The larger dieldrin loading was  used as an
  annual  average mass flux into the  reservoir consistent  with  the updated
  solias  balance.  Results of Tab.  II-3 comprise  the best estimate  of what has
  actually t2'<:n place in Coralville Reservoir on  a  mass  flux  basis

       To be  certain,  there are diminishing  returns  to simulations  with
  greater and greater mechanistic realism and complexity.  The 25 compartment
simulation of Tab.  II-3 did not provide significant  additional  insight.   How-
  ever 1t represents  the best estimate of the actual dieldrin  dynamics.   If
  a  management decision required quite accurate information, a  model with
  time variable  inputs may be warranted.   Model complexity should fit  the
  user's  need.

       A  simulation was performed  to  determine the relative  contribution  of
  the sediment desorption and scour  to the mass of dieldrin  in  the water
  column.   The present Internal  recycle  of dieldrin  from  the sediments  is
  calculated  as  0.003  kg/day with  external  loadings  from  inflows  of  0.023
  kg/day.   About 12%  of the dieldrin  in  the  water  comes from the  sediment.
  If there was a total  cutoff of external  loadings,  the 25-compartment  model
  indicates there would be a sharp decline in dieldrin concentrations.  How-
  ever if this loading curtailment was in conjunction  with a drought and
  longer  detention  time,  then the  sediment could produce  as much  as  6  ng/2, of
  dieldrin for a few  months  and 1.2  ng/x,  for  more than  2  years  after the

                                      41

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cutoff In load.  Clearly the model  is consistent with the record of
Fig. II-6.

     Burial was simulated by increasing the volume of the sediment layer
in a 20 year simulation.  Another option was to continually add new sedi-
ment compartments of M> cm depth each year to simulate the net deposition
in Coralvilie Reservoir.  This proved to be rather costly in terms of
computation time since a 20 year simulation would generate a total of
200 sediment compartments.  The top sediment compartment of 6 cm would
serve as the "active layer" while the others would be deep sediment.

     The best estimate of dieldrin  in sediments of highly depositional
zones is presented 1nFig. 11-10 using a partition coefficient of 1500,  In
the absence of sediment degradation reactions and vertical  transport, the
sediment profile resembles the dieldrin loading scenario.   However there has
been a vertical flux of dieldrin from the sediment to the water due to re-
suspension and scour and a vertical migration within the sediment due to
diffusion.  Furthermore degradation of adsorped dieldrin results in the two
profiles for the rate constants sk  = 0.07/year and 0.95/year (half lives
of 10 years and 265 days, respectively).  The profile with the large
sediment degradation rate of 0.95/year (0.0026/day) most closely reflects
field data.  Sediment cores of 100  cm can be collected at Mahaffey Bridge
1n the upper portion of Coralville  Reservoir.  Core analyses indicate no
detectable dieldrin except in surficial sediment samples.   The high organic
content of these cohesive, mucky samples does make extraction and recovery
of dieldrin difficult.

BIOTIC UPTAKE

Bioconcentrat-yon

     Fish bioconcentrate dieldrin directly from dissolved residues in the
water by mass transfer at soft, epithelial tissue (gills).   Also there
exists a strong correlation between insecticide residue levels in fish and
the percent oil or fat (petroleum ether extraction).  To demonstrate that
the residue level of fish is directly related to their fat content, Fig.  II-
11 was plotted with 1979 data for a variety of fish species and seasons.
Fish samples were analyzed according to US Food and Drug Administration
(FDA) procedures by the University  of Iowa Hygienic Lab.   Fig.  11-11
demonstrates that oil content removes  60% of the variance (r2) in fish
residue samples regardless of fish  species.  Autumn (October-November)
residues in fish are lower than summer (June and August)  samples, primarily
due to a difference in exposure concentrations from agricultural  runoff.

     The slope of the line in Fig. 11-11 gives the residue concentration in
fish oil at 1979 exposure levels.  The annual average insecticide exposure
concentrations during this period were 0.005 ug/1 dieldrin, -\-0.002 ug/1
chlordane (cis-chlordane plus trans-chlordane plus nonachlor),^ 0.001  ug/1
DDE, and'v 0.001 ug/1 heptachlor epoxide.  Based on this residue and ex-
posure data, the oil-normalized bioconcentration factors (BCF-oil) ex-
pressed as log-|Q BCF ug/kg oil per  ug/1 are 5.6, 6.0, 5.9, and 5.8 for
dieldrin, chlordane, DDE, and heptachlor epoxide respectively.   Fig,  11-12

                                    42

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shows the log BCF-oil plotted for a number of insecticides in Iowa waters.
Oil-normalized BCFs correlate roughly with octanol  water partition coeffi-
cients.

     The total storage of dieldrln in Coralville Reservoir is largely in the
sediment (^45 kg).  Bottom feeding fish contain perhaps 0.5 kg while the
water column contains only ^0.2 kg and particulate  suspended material ~0.1
kg.  All other elements of the ecosystem contain very little dieldrin.
Apparently biomagniflcation is not a large problem  since bottom feeding
fish have the highest blomass and residue levels (Fig.  11-13).

Bioaccumulation

     The kinetics of bioaccumulatlon are shown in Fig. 11-14.  Fish can lose
unmetaboHzed toxics via biliary excretion or "desorptlon" through the gill.
One the other hand, toxic organics can undergo biotransformations  and be
eliminated as metabolic products.   The rate constant, k2,  includes total
depuration (both excretion of unmetabolized toxics, k2', and elimination of
metabolites, k2").  Only a fraction of this elimination is returned to the
water column as dissolved parent compound, designated as k2' in Fig.  11-14.
(Note:  k2 = k2' + k2").

     The kinetics of bioaccumulation are presented  in Equation 19.


          |£- e^C/B -k2F + k3rb + k4rf + k5rw


in which

          e = efficiency of toxic absorption at the gill

         kn  = biouptake rate  from the dissolved phase


            . fi filtered\  v /kg fish\
            " \kg fish-day^  x \    s.   }

         k2 = depuration rate constant including excretion and clearance
              of metabolites, day"'

          C = dissolved toxic organic, yg/x.

          B - fish biomass,  kg/2,

          F = fish residue (whole body),  yg/kg

   r.,r.,r  * whole body residues  in bed  sediment,  fish prey,  and  worms,
              respectively,  yg/kg

         k^ = uptake rate of bed  sediment for detrivores,  day'


         k^ - uptake rate of fish  predation,  day"

                                    43

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         kg = uptake of worms and benthos, day"


The uptake rate constant from dissolved toxicant in the water, ki ,  is a
product of the fish respiration rate and the biomass of fish in the system.
At steady state, Equation (19) admits the following solution:
This is a good form of the equation 1n which to evaluate the relative
contribution of each term:  1) uptake of dissolved organic through the gill,
2) uptake of bed sediment, 3) uptake of fish prey, and 4) uptake of worms
and benthic organisms.  Figs. 11-15 and 16 give the results for dieldrln
uptake by gamefish and bottom fish in Coralville Reservoir.   More than 50
percent of the uptake is from the water in both cases, but game fish get
their second-most contribution from prey fish and bottom feeders get theirs
from sediment ingestlon.  Results are based on field and microcosm studies
and literature values of feeding rates.

     Often in the case of small  fish and detritivores, the predominant path
of bioaccumulation 1s through the gill membranes.   In this case bioconcen-
tration is described by only the first two terms of equation (20).  The
steady state solution is then:

              ek,C
in which

          ek

          k2
            ,
              - the bioconcentration factor,
      Bioconcentration factors normalized on a lipid basis, are especially
 useful  since often the kinetics of uptake and depuration are rapid compared
 to transport and other reactions.  In Coralville Reservoir, fish were at
 near-equilibrium with dissolved dieldrin concentrations.  The response time
 of the  fish to a step function change in dieldrin concentration is on the
 order of three to ten weeks, based on field data and laboratory microcosm
 testing.  This means that fish would respond relatively rapidly to "cleanup"
 of an ecosystem which had been contaminated by dieldrin.

 SUMMARY

      Physical, chemical and biological processes are all important in the
 fate  and transport of dieldrin in Coralville Reservoir.  A good water budget
 and sol Ids balance are necessary for an accurate mass balance on pesticide.

                                    44

-------
During high flow periods, dieldrin continues to enter the Iowa River with
agricultural runoff.  To a lesser extent, it is scoured from contaminated
sediments.  Under low flow regimes, dieldrin desorbs and diffuses from
contaminated bed sediments to the water column.  Thus dieldrin is decreasing
in the aquatic ecosystem due to washout, burial by less contaminated
sediment, and possibly by degradation reactions in the bed.

     Fish bioconcentrate dissolved dieldrin and, to some extent, bio-
accumulate dieldrin from sediment ingestion and prey items.   Since "hot
spots" of dieldrin do not exist in this case, sediment and benthos ingestion
are of less importance.  Fish will respond to changes in dieldrin concen-
trations because the kinetics of bioconcentration are relatively rapid.
                                REFERENCES
1,  Partheniades, E., "Erosion and Deposition of Cohesive Soils,"
    Journal of the Hydraulics Division, ASCE, Vol.  91, No.  HY1,  Proc.
    Paper 4202, Jan., 1965, pp. 105-139.

2,  Schnoor, J.L., "Fate and Transport of Dieldrin in Coralville Reservoir:
    Residues in Fish and Water Following a Pesticide Ban,"  Science,  Vol.
    211, 20 Feb., 1981,  pp. 840-842.

3   Schnoor, J.L. and McAvoy, D.C., "A Pesticide Transport  and  Bioconcen-
    tration Model," J. Environ. Engr.  Div.,  ASCE, Vol. 107, No.  EE6,
    Dec. 1981.

4,  Liu, H., "Predicting Dispersion Coefficient of Streams," J.  Environ.
    Engr.  Div., ASCE, Vol.  103, No. EE1, Feb., 1977, pp.  59-69.
                                    45

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Table II-l.  Annual Total Dieldrin Concentration Statistics from Below
             Coralville Reservoir at Iowa City, 1969-1979
YEAR
MEAN
CONC.


0.022
0.019
0.016
0.011
0.009
0.005
0.007
0.010
0.005
0.008
                        STD.  DEV.
                          yg/i
                         0.019
                         0.010
                         0.009
                         0.007
                         0.005
                         0.005
                         0.005
                         0.005
                         0.003
                         0.001
 %CV
COEFF.
 VAR.

 86.4
 51.1
 56.4
 61.8
 53.8
 94.4
 66.6
 53.3
 64.5
 12.5
 MAX
CONC.
0.
0.
0.
0.
0.
 .052
 .035
 .031
0.026
0.020
 .016
 .018
0.017
0.009
0.010
   N.
NO-  OBS.


   7
   7
   9
  12
  12
  12
  12
  11
  10
   9
                                    46

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  Table II-2,   Two-Compartment Model Results with Aggrading Sediment,
               Coralville Reservoir
Parameters:   K M = 0.6
water column partitioning
KM = 3210.







Tine
jdays)
0
600
1200
1800
2400
3000
3600
ks = o.
Ez = 0.
zk = 0.
zk = 0.
t0 - 14
cin,o
0. = 0.1
4/day
0001 m2/day
000325/day
0052/day
days
0.050 pg/Jl
64 yr.
DIELDRIN
Water, CT Sediment
ug/z yg/£
0.0250
0.0131
0.0100
0.0076
0.0058
0.0044
0.0034
2.25
2.91
2.27
1.74
1.33
1.01
0.77
sediment partitioning
sedimentation rate
vertical dispersion
dissolved reactions
sediment reactions
detention time
constant




initial inflow concentration
exponential decline
RESIDUES
Suspended
, CT Sediment, r
yg/kg
15.6
8.18
6.25
4.77
3.64
2.78
2.12

Bed
Sediment, r
ug/kg
0.70
0.91
0.71
0.54
0.41
0.32
0.24
                                    47

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Table II-3.  Results of 25 Compartment Simulation for Dieldrin in
             Coralville Reservoir
                  TOTAL DIELDRIN CONCENTRATION, (^(pg/4)
COMPARTMENT

   Water  1
          2
          3
          4
          5
          6
          7
          8
          9
         10
         11
         12
         13
         14
         II
Sediment 16
         17
         18
         19
         20
         21
         22
         23
         24
         25
2.25
day 1200

 0.0687
 0.0544
 0.0435
 0.0351
 0.0286
 0.0232
 0.0235
 0.0176
 0.0203
 0.0144
 0.0168
 0.0124
 0.0136
 0.0112
 0.0115
18.2
13.8
10.6
 8.08
 6.23
 5,02
 4.27
 3,28
 2.44
 1.49
day 2400

 0.0401
 0.0318
 0.0255
 0.0206
 0.0169
 0.0137
 0.0139
 0.0103
 0.0120
 0.00846
 0.00908
 0.00732
 0.00807
 0.00663
 0.00681
11,1
 8.48
                                  50
                                  99
                                  85
                                  13
                                  67
                                  05
                                  52
                                0.908
day 3600

 0.0234
 0.0186
 0.0149
 0.0120
 0.00983
 0.00798
 0.00811
 0.00603
 0.00702
 0.00494
 0.00578
 0.00427
 0.00471
 0.00387
 0.00397
   48
   95
   80
   92
   26
   83
   56
   20
 0.893
 0.532
                                     48

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 Table II-3.   Results  of 25  Compartment  Simulation for Dieldrin in
              Coralville Reservoir  (continued)
                   MASS  OF DIELDRIN  ON SOLIDS, r(ug/kg)
COMPARTMENT
Water 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Sediment T₯
17
18
19
20
21
22
"3
£H
10.2
11.2
12.3
13.6
14.9
18.3
15.3
23.4
15.6
27.6
17.0
30.6
18.8
33.0
24,3
0.97
1.15
1.38
1.64
1.95
2.09
2.20
2.55
3.05
day 1200
  28.0
  24.4
  21.5
  19.1
     1
                               17
                               17.0
                               14.4
                               16.5
                               12.6
                               15.8
                                  .4
                                  .2
                                  .2
               11
               15.
               10.
               14.8
               11.2
                7.82
                 ,10
                 .48
                 .90
                 .40
                4.66
                4.17
                 .72
                 .32
         25
5.09
   3.
   3.
   3.37
day 2400

  16,4
  14.3
  12.6
  11.2
  10.0
  10.0
   8.50
   9.70
   7.49
   9.34
   6.76
   8.97
   6.08
   8.76
   6.64
   4.77
   4.35
    .98
    .64
    .34
    .90
    .61
    .32
    .07
                                                 3.
                                                 3.
                                                 3.
                                                 2.
                                                 2.
                                                 2.
                                                 2.
day 3600
  9.56
  8.34
  7.33
  6.55
  5.86
  5.84
                                      96
                                      66
                                      37
                                      44
                                      94
                                      23
                                      55
                                      11
                                      87
                                      78
                                      54
                                      33
                                   2.13
    96
    70
    53
    36
    21
   2.06
  1.20
                                   49

-------
 Table II-3,   Results of 25 Compartment Simulation for Dieldrin in
              Coralvilie Reservoir (continued)
KM = 0.22 - 2,6
KM = 660 - 3,450
Ks  -- 0,4
E  = 0,0001 m2/day
zk * 0.000325/day
zk = 0.0026/day
t0 = 14 days
Cin,o ' °-150
u> = 0.164/yr
K  = 1500
PARAMETER LIST:
            water column partitioning
            sediment partitioning
            sedimentation rate constant
            vertical  dispersion coefficient
            longitudinal dispersion
            dissolved reactions
            sediment reactions
            detention time
            initial  inflow concentration
            exponential  decline
            sediment:  water partition
                       coefficient
                                    50

-------
           80
           60
        «  40

        =>
        Z

        g  2-0

        
-------
               o
               cc
               111
               o
               X
               p
                             decreasing
                o
                x
                         _fi»h tr«k_
                           v»»ter
                                            fish track
                                             sediment"
                u
                2
                O
                ui
                to
                o
                g
••sediment response*
 dvpends on r»t*
 »f deposition 8
 mumg
    sediment response
•—depends on depositwn-
                                                    mixing
                                 TIME  IN  YEARS
Figure  11-2.  Hypothetical  Scenario  for the Self-Purification of  an
               Impoundment After the  Introduction of a Hydrophobic Toxic
               Organic
                                       52

-------
                       IfOOO
in
CO
                           196»
                                                           74     75

                                                          TIME, y»»>s
                 Figure 11-3.   Solids Loading and  Flow Below Coralville Reservoir at  Iowa  City

-------
         10.O
          5.0
     cv/   2.0
      g
      tn
      o
      ir
      ui
      o

      U)
          10
          0.5
          02
            .001    002     .005   .01     02       05    10



                  V  AVG BOTTOM SHEAR  STRESS, dynes/cm2
Figure II-4.   Rate of Erosion  versus  Bottom Shear  Stresses  in dynes/cm

              (calculated fron data of  Parthemades,  1965)
                                  54

-------
  18000

»1SOOO
I
§12000
5 9000

§

~i 6000

-------
    196»   70
                                 74    73    76

                                 TIME. y»»'»
                                                                    80
Figure II-6.  Solids Loading and Total  Dieldrin  Concentration Below
              Coralville Reservoir at  Iowa  City  (note,   no dieldrin
              record exists for 1978)
                                    56

-------
                      CORALV1LLE   RESERVOIR
                        SEDIMENT CORE AT
                       HWY  0, 16  FEB  1981
    0  2   4   6   8   10
      % VOLATILE  SOLIDS

L_
n^
z
LU
2
O
UJ
CO

0>
JC
^^
^s
o>
4.

cr
o
_i
UJ
o
4

3

2
1
n
•

O

•
-
o
0 	
024   6   8   10
 %  VOLATILE  SOLIDS
Figure II-7.  Sediment  Core Analyses for Percent Volatile Solids and
            Dieldrin  Concentration Near the Inflow to Coralville
            Reservoir
                              57

-------
                      CORALVILLE  RESERVOIR
                        HWY 0, 16 FEB 1981
     01234
          SEDIMENT
      DIELDRIN  /^g/kg dry


E
°_
x~
H
O.
UJ
Q


5

10

15
20
OR
O
-
o
-
o
o
-
	
   10 20 30 40  50
     SEDIMENT
DIELDRIN  /tg/kg VS
             (*)                                  (b)

Figure II-8.  Sediment Core Analyses for Dieldnn Concentration on a Dry
            Weight Basis and on a Volatile Solids (VS) Basis
                              58

-------
     -2700m-»
                     /    /    /     /     /    /     /
Figure 11-9.   Compartmentalized Approach  to  Sediment  - Water  Interactions
              in Coralvilie Reservoir
                                   59

-------
                20
                                          SEDIMENT CONC-Uf/k*
                                                 Q  	20
             [1
             i a.
          g 
                  INT£*STITI»L CONC "9/1
                   0    i   '0	20
              §
              I  »
                no
Figure  11-10,  Estimated Dieldrin Sediment Concentrations  and Loadinn
                Scenario in  Highly Depositional  Zones of  Coralville
                Reservoir
                                   60

-------
1-500
LJ
  >400
UJ300
(rt
  SUMMER
    » BUFFALO
    A CATFISH
    7 CARP
    9 BASS
_ AUTUMN
    SHADED
                    a

                   .1=0
                            56789

                            % OIL  IN  EDIBLE FISH
10   n
                                                       12   13    14   15
   Figure 11-11.   Dieldrin Residues in Fish vs. Percent Oil Content,
                  Coralville Reservoir, 1979 Field Data.  Equation for
                  Least squares regression   Y * 2640 X -10.8, r * 0.77,
                                       61

-------
   7 '
U_
O
CD

CD
o
                                 'HE
DIELD
                                      log
  Figure 11-12.   Iowa  Field  Bioconcentration Factors in Fish Oil  vs.
                  Octanol/Water Partition Coefficients
                                      62

-------
                                PISCIVOROUS
                                  FISH
                                i- 5 mg/1   _,
                               30 ug/kg wet    .
                           0.015 Ib (0 0067 kg)
                                  J_
                                SMALL FISH
                                & MINNOWS
                                •^ 5 mg/1*  ,
                               30 ug/kg wet    .
                           0 015 Ib (0 0067 kg)
                               ZOOPLANKTON
                                  INSECTS
                                negligible
                                  ALGAE*
                                 2 ng/1,
                                 5 ug/kg      4
                           0 001  Ib (0.0004 kg)
            BOTTOM
         FEEDING  FISH
           47 mg/1*  4
        225 ug/kg wet
        11 Ib (05 kg)1
              t
IZOOBENTHOS
       < 1 mg/1*
       5 Xg/kg      .,
 < 0 01 Ib (•• 0 004 kg)
                              HATER

                            0.004 ug/l""  ,
                        0 42 Ib (0-19  kg)
                              11
                                 SEDIMENT4
                                 1.3 kg/1
                                 2 ug/kg4
                              lOOlb (45 kg)
      BIOMASS
     'DIELDRIN CONCENTRATION
     1DiaDRIN MASS
Figure 11-13,   Ecosystem Contamination  Levels Based on  Field
                  Observations and Laboratory Microcosm  Experiments
                                  63

-------
    Input                 Input
           Rapid
           Sorptive
           Equilibrium
                          Food Items
 Porticulate
Sedimentation
Dissolved
                        Zk
                                    Biouptake
         Sediment
         fish
                                      worms

                                k3, k4, ks
Fish
      Hydrolysis
      Biolysis
      Photolysis
      Volatilization
      Oxidation
                                          Excretion
Metabolites
               Figure  11-14.   Bioaccumulation Model  Schematic
                                       64

-------
                   AQUATIC EXPOSURE  MODEL
                   GAME FISH FOOD ITEMS
                                    K, '00135/doy

                                    K, ' 0.04W/doy

                  iILL + SEDIMENT + PREOATION * BENTHOS
                     ilLL+SE01MENT*Pf»EDAT10N
        1968  70   72   74  76   78  80   83   84   86

                       TIME  (year*)
Figure 11-15,  Dieldrin Residues in Game  Fish Simulation
               for  Coralvilie Reservoir
                             65

-------
                   AQUATIC  EXPOSURE MODEL
                   BOTTOM  FISH FOOD  ITEMS
                                  K, '00133/dfy
                                  K2 »0.00413/d«y
                         GILL + SEDIMENT * PREDATION
                                              GILL* SEDIMENT*
                                                   PREDATION+BENTHOS
        1966 70   72  74   76   78  80   82  84   86
                      TIME  (ytors)
Figure 11-16.   Dieldnn Residues in Bottom  -  Feeding Fish for
                Coralvilie Reservoir
                                 66

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                               CHAPTER III

          A DYNAMIC SIMULATION MODEL FOR ALACHLOR AND ATRAZINE:
         FIELD VALIDATION USING MICROCOSM AND LABORATORY STUDIES
INTRODUCTION

     One of the most widely used herbicides in the U.S.  and Iowa is the
soluble, acetarrilide alachlor (Lasso")   It is applied at 1.1  kg/ha as a
preemergent for grass control in corn during the period from mid-April to
mid-May (see Tab,  1-1 for structure).  Concentration in Iowa waters range from
10-100 yg/i in headwater streams with dilution and biodegradation accounting
for lower concentrations M yg/fc) in large rivers directly after applica-
tion.  It is a very water soluble herbicide (242 ppm) and has  moderately
low vapor pressure (2.2 x 10~5mm Hg).

     Other widely used herbicides in Iowa for broadleaf control  are
atrazine (Aatrex10) and cyanazine (Bladex0), both triazine herbicides.   These
herbicides are also quite soluble in water (33 and 150 ppm, respectively)
and have low vapor pressures.  Atrazine is applied at 0.5-0.8 kg/ha (active
ingredient) from mid-April  to mid-May.  Concentrations in the  Iowa River at
Iowa City are 1-2 ug/n during May-August.  Concentrations of atrazine and
cyanazine in the headwaters of the East Soldier River in Iowa  were 54 and
130 ug/x, on 13 June, 1979,

     The p^vpose of this study was to further test and validate  the toxics
model.  A field validation  was undertaken, and microcosm and laboratory
studies were used to supplement the field data collection under  spring run-
off (time variable) conditions.   One objective of the research was to
determine if laboratory-derived rate constants could be used directly in a
field validation effort.  Soluble, biodegradeable chemicals were investi-
gated to complement previous studies with dieldrin.

     Field data on alachlor was gathered on Lake Rathbun, south-central
Iowa reservoir on the  Chariton River, by the University of Iowa Hygienic
Laboratory [1].  The study  was conducted during a high flow runoff period.
Under these conditions, Lake Rathbun had a mean depth of approximately 29
feet, a mean hydraulic detention time of 162 days, and a mean  volume of
351,000 acre-ft.   Rathbun's 535 square mile watershed is primarily in  row
crop agriculture and pasture land.


MODEL DEVELOPMENT

     The model uses a completely mixed flow-through system of  one compart-
ment.  Equations 22 and 23  must be solved with a time variable mass loading

                                     67

-------
W(t) and detention time.   The herbicides  are approximately 99/6 in  tie
dissolved phase such that the last term of Equation 23 is of little con-
sequence.  The time variable equation becomes a  coupled set of ordinary
differential  equations shown below which  were solved via a variable step
size fourth order Runge-Kutta numerical technique.

          IT - Qin -
          d(VCT)
          TT1  = W(t) ' Qout CT ' skCV  ' ksCPV                      (23)
          t - time, days
          V = volume, a
          Q = flowrate, Ji/day
         CT = total herbicide concentration, ug/n
          W = herbicide loading in mass per time, pg/day
          k = sum of the  pseudo- first order reaction rate constants in  the
              dissolved phase, n/day
         k  = sedimentation rate constant, £/day
         C  = particulate herbicide concentration = K CM,
          C = dissolved herbicide concentration,
     Equation 23 must be differentiated by the chain rule:
          d (VCT)     dCT      ,v
          ^T1  =V
The final equation 1s:

              =
          THT =   in Cin '  ^out CT "  «<*<*>  'KsCP
                r  dV\    1
              " CT dt /   vTtl
     Relationships between  the total, particulate, and  dissolved  pesticide
concentrations can be calculated assuming local  equilibrium:
                                   68

-------
          c •  -
               KM
          Cp '


where     M - suspended solids concentration, kg/£

         K  - solids/water partition coefficient, yg/kg per


GASP-IV Simulation Language

     Ordinary differential equations can be easily coded into the simula-
tion language GASP-IV.   GASP-IV is a simulation language developed for
handling discrete, continuous, and continuous/discrete time systems.   The
integration method provided by GASP-IV is a fourth order, variable step
size Runge-Kutta routine for integrating systems of first-order,  ordinary
differential equations  with initial  values.

     Equations 22 and 25 can be coded directly into GASP-IV as:

          DD(1) = QIN- QOUT

          DD(2) = (QIN*CIN- QOUT*SS(2) - SS(2)*DD(1))/SS(1 )

                                      - (KP*M/(1 + KP*M))*SS(2)*KS

                                      - (1/(1 + KP*M))*SS(2)*K

where     bSil) = V  ;   DD(1)  E dV/dt

          SS(2) ; CT ,   DD(2)  E dCT/dt


     These equations are coded in  subroutine STATE of GASP-IV.  The initial
conditions and the input values are  set in subroutine INTLC.   The values
QIN, QOUT and CIN are obtained from  a user-written FORTRAN  function which
looks up the values from a table with independent variable  TNOW(=simu1ation
time).   Simulation for  several pesticides can be performed  simultaneously.
(Their concentrations will be  represented by SS(3),  SS(4),  etc.)   Outputs
are obtained in the form of a  table  and/or plot (with user-specified scale).

     As an example of model  validation,  consider the herbicides  atrazine
and alachlor in an Iowa reservoir, Lake Rathbun.   In order  to assess  the
herbicide dynamics, a three step effort was undertaken including  1)  bio-
transformation tests 1n natural waters,  2)  microcosm testing, and 3)  field
data collection.
                                   69

-------
MATERIALS AND METHODS

Blotransformatlon Tests

     Biodegradation tests were performed In unfiltered Iowa River water
with spiked additions of alachlor to 100-300 yg/2, under the following
conditions:  with and without bacterial  seed from the Iowa River, with and
without bacterial seed from treated soil, with and without nutrient addi-
tions, and during and after rainfall runoff events in the Iowa River,
Controls were used to determine the extent of gas stripping, chemical
hydrolysis, and sorption to glassware.   Samples were aerated in the dark at
*23'C,

     A study of the microbial community was also performed during the
degradation tests.  Samples were spread-plated, incubated at 20*C for 7
days, counted at lOx magnification using a Quebec counter, and colony
morphologies were recorded.  Colonies were transferred to nutrient broth
for 3 days at 20*C, observed and gram-strained and all morphologies were
noted.  In addition samples were streaked on BBL-brand MFC, M-Enterococcus,
and M-Endo agars to test for fecal coliforms, fecal streptococci, and total
coliform.

Mlcroc&sm Test

     Fish used in this study were sunfish (Lepomis sp. ) collected by
shocking from the Coralville Reservoir on the Iowa River in early November,
1979.  Algal growth was mostly Micr?sp?ra tp.  indigenous to the Iowa River.
The alga  became a test parameter by default after it choked out the
macrophyte potamegetcm orginally intended for use.  Clams used w»re
Amblema sp. collected by hand from a bed south of Fort Madison, Iowa, in
Pool 19, Mississippi River during November, 1979,  Sediment was collected
from the same clam bed and used to cover the bottoms of the aquaria to a
depth of about 4 inches.  Water for the study was withdrawn from Iowa River
influent to the University of Iowa Water Plant.  Water quality varied
greatly over the course of the two experimental phases.  All equipment and
organisms were arranged 1n a manner to simulate productive areas of the
Mississippi River.  Thirty fish and thirty clams were placed in each
aquarium.  Organisms were allowed to acclimate to the aquaria for a period
of 2 weeks prior to beginning the herbicide  experiment.  Fish were fed a
combination of live mealworms and commercial pellets as a supplement to
natural food organisms present in the microcosm.

     For the microcosm studies, Iowa River water was drawn into a 100
gallon cylindrical Nalgene tank and contaminants mixed in a batch process.
Delivery to the aquaria was accomplished by means of a Masterflex
peristaltic pump at 132 ml/min (^ 50 gal/day).  Aquaria were 55 gallon all-
glass rectangular tanks (18"x48"x12")  fitted with glass tubing at one end
1.5 inches from the top to allow positive overflow into a drainage system.
Total water volume of the prepared aquaria was approximately 5 cubic feet
or 37-40 gallons (140-150 liters) with a depth of 16 inches.  Stable water
temperature was maintained by two 200 watt aquarium heaters per tank.
During the colder months, a temperature gradient resulting from the flow of

                                    70

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cold influent into the warmer tank water was evident.   Mixing was
accomplished by placement of an airstone near the center of the tank,   The
photoperiod was automatically controlled with a 16 hour light and 8 hour
dark cycle.  Illumination was provided by two 40-watt fluorescent bulbs per
aquaria which were suspended 5 cm (2-1/4") above the water surface.
Alachlor was added as Lasso herbicide, the emulsifiable liquid, diluted in
a carrier of acetone.  Inflow concentrations averaged 8--10vg/l  but varied
due to mixing conditions in the feed tank.

Field Tests

     Samples were prepared, collected, and preserved according to Standard
Methods for the Examination of Water and Wastewater, 14th edition and the
Criteria for the National Pollutant Discharge Elimination System (NPDES).
Grab samples were collected from four locations representing the two
principal inflows from the Chariton River and South Chan ton River, a
depth-composite sample  from Lake Rathbun, and a downstream sample. Weekly
samples of water, fish, and sediment were analyzed for the herbicides
alachlor, atrazine, and the insecticide dieldrin.  The sampling period con-
sisted of a series of runoff events from May-July, 1978.  Flow was from
guage records Of the U.S. Geological Survey, and samples were analyzed by
the University of Iowa Hygienic Laboratory,

RESULTS AND DISCUSSION

Biotransformation Test

     Loss of alachlor by gas stripping proved to be a  relatively small  but
detectable loss mechanism.   The degradation rate was surprisingly indepen-
dent of the source of inoculum, substrate pr nutrient addition, and water
quality.  Zero order and first order kinetics fit the  laboratory data  well
with -ate constants of 6.4 yg/£-day and 0.055/day, respectively.   Second
order ki.u'KS did not hold very well  since 100 fold increases  in viable
cells (as measured by the spread-plate technique in petri plates filled
with BBL-brand nutrient agar)  did not result in increased degradation
rates   Paris et al.  [2,3,4] have noted second order kinetics for biode-
gradation, first order in total cell count and first order in pesticide
concentration.

     Results are shown in Tab.  III-l from all of the biotransformation studies.
The first order rate constants are in  good agreement with those calcualted
from Beestman and Deming [5] and those of Rao [6] for  alachlor  degradation
in soil.  An average half life of 12.6 days  can be computed.   The second
order rate constant is quite variable, and is an order  of magnitude larger
than that determined in laboratory protocol  measurements by Baughman and
Paris at the USEPA Environmental  Research Laboratory,  Athens, Georgia
(personal communication, 1980).  However the procedures differ  considerably
and the USEPA measurement was a much shorter duration  test (3-5 days).

     A typical degradation  curve (a semilog  plot of concentration versus
time) is shown in Fig. III-l.  Usually a lag time of approximately 5-8  days
was evident in which the degradation rate was low, followed by  a  more  rapid

                                    71

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and linear phase.  Zero order kinetics also fit the experimental  data quite
well as reported by Fitter [7].

     Results of the microbial community study indicated that spiked
additions of alachlor, dextrose, or nutrients did promote significant
changes 1n community structure,  and that succession caused large  changes
in the taxa of controls during the course of the degradation experiments.
This technique also demonstrated a source of bacterial  contamination coming
through the filtered air supply [8].

Microcosm Test

     Results from the microcosm experiment are shown in Fig.  III-2 and 3 [9].
Alachlor and atrazine were not detected in fish, sediments,  clams, or algae
probably due to their low octanol/water partitioning and rapid metabolic
transformations.  After 30 days, the feed solution was  changed to settled
river water, and washout of herbicides was  observed from day 30-60.   The
percent of alachlor removed during the experiment was approximately 35%
(Fig. III-2).  At near steady state (days 15-30) the removal was also <35%.
Therefore 1t is possible to estimate the degradation rate for a system with
a 0.8 day dententlon time to be 0.67/day.  This is much greater than the
estimated 0.055/day from the biotransformation study.  This  points up the
need for similarity 1n laboratory microcosms.  Microcosms should  have the
same ratios of biomass-to-volume and production-to-biomass ratios in order
to mimic the ecosystem.  In this case, the large mass of algae which
developed and the large biomass was probably responsible for the  rapid loss
of herbicides due to sorption and biotransformations.  Algae are  known to
biodegrade many organics and herbicides.   Atrazine was  ^40% removed in the
microcosm study, also indicating sorption and possible  biotransformation
(Fig, III-3).

Field Tests

     Modeling efforts on Rathbun Reservoir in Iowa for  the herbicides
alachlor and atrazine are much different than for hydrophobic pollutants.
Being quite soluble, these herbicides are shown to undergo negligible
sedimentation but to biologically degrade and to be transported out of the
Reservoirs via the outflow.  Figs. III-4-7arethe results for alachlor in
Rathbun Reservoir.  Time-variable loadings and flow were required to
accurately model in-situ and outflow concentration data.   The rate
of degradation in Fig, III-7 was significant, and the pseudo-first
order biodegradaton rate constant was 0,04 per day, in  relative agreement
with laboratory biotransformation measurements.   Equations 22 and 25 were
solved simultaneously to olot the results shown in Fig.  III-7.  At least for
the case of alachlor in Rathbun Reservoir, the use of a laboratory-derived
biotransformation rate would have been appropriate for  modeling purposes.

     The results for atrazine in Lake Rathbun are less  satisfying.
Literature values for atrazine degradation in soils and waters  -ange from
0.01-0.05/day.  Using the lowest of these literature values  (0.01/day)  and
the measured input concentrations of Fig. III-8,  the calculated concentration
is less than the 0.5-1.2 ug/i measured Lake concentration (Fig. III-9).  The

                                    72

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model results of Fig,  III-9 use double the measured inputs in order to fit
the field data.  The reason that model results do not reflect the field data
cannot immediately be attributed to channeling or incomplete mixing because
the alachlor mass balance worked nicely (Fig,  III-7).   Possible other reasons
include:  1) an unmeasured source of atrazine such as overland runoff or
bed sediment, and 2) analytical chemistry problems at these very low con-
centrations, near the detection limit of 0.2
     For comparison a final  simulation was performed for dieldrin in Lake
Rathbun,  Measured inflow concentrations used as model  input (Fig,  111-10)
and results are plotted in Fig,  III-ll,   Once again model  results are lower
than measured values.  However these concentrations range from 0.4-1.0 ng/j,
and are extremely low.

     An observation is  that  one should not search for the biological effects
of pesticides in large  rivers and reservoirs.  It is the headwaters and
small tributaries which have 50-100 fold higher exposure concentrations.
It is also the tributaries which often  have the most habitat  diversity
and hence species diversity  and which provide spawning areas for fish.
Nevertheless, the pesticide  concentrations found in Iowa during the tenure
of this research are well below all acute toxic thresholds and LD5Q values.

     This field validation demonstrates the use of laboratory measurements
in a modeling framework.   A  further improvement would be to track the
daughter products of herbicide biodegradation as well  as the parent com-
pound.   It is worth noting that approximately 75-90% of the transport
occurs over less than 20% of the time.   Due to the transient nature of
runoff events, it is necessary to perform time variable simulations in
order to accurately represent the mass fluxes as well  as concentrations.
Annual  average or steady  state representations are not accurate in  these
cases.

SUMMARY

     Laboratory biotransformation and microcosm studies were helpful in
predicting the dynamics of alachlor and atrazine in Lake Rathbun.   Model
predictions were within a factor of five for atrazine,  a factor of  two  for
dieldrin, and a factor  of one for alachlor.   For most purposes, these would
be acceptable simulations and the model  should be considered as field-
validated.  In these simulations, there was  no adjustment  of the rate
constants made to fit the field data-- there was no calibration or  model
tuning.  Laboratory and literature rate constants were used directly in a
comparison with field observations.
                                   73

-------
                               REFERENCES
1.    Kennedy, J.O.   Lake Rathbun 1978 Pesticide Study.   Final  Report to
     the U.S. Army Corps of Engineers, Kansas City District,  Contract No.
     DACW-41-78-M-1097, October, 1978, 44 pp.

2.    Paris, O.F., Lewis, A.L., and Wolfe, N.L.   Rates of Degradation of
     Malathion by Bacteria Isolated from Aquatic System,   Env.  Sci.  and
     Techno!., Vol.  9, No. 2, 1975, pp. 135-138.

3.    Paris, D.F., Lewis, D.O-, Barnett, J.T., and Baughman,  G.L,
     Microbial  Degradation and Accumulation of Pesticides 1n Aquatic
     Systems.   USEPA-  EPA-660/3-75-007, 1975.

4.    Paris, D.F., Steen, W.C., and Baughman, G.L.  Prediction of Microbial
     Transformation of Pesticides in Natural Waters.   An unpublished paper
     presented before the Division of Pesticide Chemistry, ACS, Anaheim,  CA,
     1978.

5.    Beestman, G.B.  and Deming, J.M.  Dissipation of Acetanilide Herbicides
     from Soils.  Agronony Journal, Vol. 66, No. 2, 1974, pp.  308-311.

6.    Rao, P.S-C. and Davidson, J.M.   Adsorption and Movement of Selected
     Pesticides at High Concentrations in Soi1s, Water Research,  Vol. 13,
     1979,  pp. 375-380.

7.    Pitter, P.  Determination of Biological Degradability of Organic
     Substances.  Water Research, Vol. 10, 1976, pp.  231-235.

8,    Cartwright, K.J.  Microbial Degradation of Alachlor Using River Die-
     Away Studies.   M.S. thesis, University of Iowa,  Iowa City, Iowa,
     December, 1980, 126 pp.

9.    Noll,  R.M.  Pesticides and Heavy Metals:  Fate and Effects in  a
     Laboratory Microcosm.  M.S. thesis, University of Iowa,  Iowa City,
     Iowa,  December, 1980, 112 pp.
                                    74

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                                               Table  III-l
                                  KlritlTC BIODEGRADATION RATE CONSTANTS


Sample
After R»in, no nutrient*
After R*l», dextreae
After R»inf deatro**, N&P
Before Ral», dextrose
Alochlor
Initial
Cone, (pg/1)
226,4
226.4
226.4
218.7
Before Rol», dextreee, N&P 218.7
River W«ter
R**«rvolr W»t»r
Sediment /Re*. W»t»r
Activated Sludge /R.W.
Soil 2/Rlver W«ter
Soil I/River Water
1/8 Inoculum/Rlv, Water
3/4 Inoculum/Rlv, Water
Mean
Coefficient of Variation
Geometric Mean
244.5
213.5
247.1
277.8
264.4
144.6
128,7
114.2
Zero Order
k"
(xg/l-day) r
8,10 -0.99
7.83 -0.98
7,91 -0,99
6,20 -0,97
6.12 -0.99
6,88 -0.99
3.68 -0.98
8.01 -0.98
7.20 -0,97
7.94 -0.99
4.20 -0.99
5.26 -0-99
3-98 -0.97
6.41 - 1.65
(X100) 25 7
6.11
lat
k'
(day"1)
0.071
0.062
0.048
0.023
0.044
0.030
0.021
0.074
0,046
0,060
0.062
0.083
0.099
0,055
41
Order

r
-0.99
-0.97
-0.99
-0.96
-0.99
-0,97
-0,97
-0.99
-0,98
-0.98
-0.98
-0.99
-0.99
t 0.023
.8
n.nsi
2nd Order
Rat* (XHT10)
(l/org.-day)8
5-3
15.4
2-5
3-5
67
64
20.7
8.1
5.7
11-3
0.1
11.3
3-5
Microbe
Cone. (X10*)
(org../l)b
135 t 104
40 - 39
195 * 121
69 * 70
66 * 39
45 * 40
10 * 11
91 * 49
79 * 41
53 * 32
5000 *1908
73 * 68
280 * 176
7 7± 4,4
56.4
5-07
Concentration lo  «ver*ged  for line IT nortlrm of degradation  over  the time period for vhlcb l*t  order
     calculation* were made

-------
-J
en
             fll*chl»r Out,  (ppb)
                              fllachlor  Degradation Rates
                                     flctivatvd Sludg* S»»d Riv»r Uat»r
         112
         1E1
             6


           T-32'
T-24'C
   r
                                            k'-0,020 X 2,303 - 0,046/d«y

                                            r —0,98
                                                   I
20


(Days)
                                                                     38
        Figure III-l.  Alachlor Degradation in Iowa River Water with an Activated Sludae  Innoculum

-------
WATER,  LASSO  CONCENTRATIONS
     TIME, days
                                  Legend
                                 A INKLUKNT
                                 x EKI-'LUIiNT
vure or-* Hl-2.  Alachlor Microcosm»tioc;ntratipns In
                            Water Samples

-------
                       WATER, ATRAZINE CONCENTRATIONS
00
                                                           Legend
                                                          x EFFLUXNT
                             TIME, days
                 Yne «ic*trazine >rrrp~C(X'tlons"'i" Filti»ri»d ^Vjltered Water Samples

-------
         INFLOW  HYDROGRAPH


        STATION 11:   CHARITON RIVER
  1000
   800
V)
u.
o
   600
U.
   400
   200
     0

     t
    MAY 18,

     1978
                                    r
10      20     30     40     SO     60
         "TIME,  DAYS
                                        70
    Figure  III-4.  Model Inflow to  Lake Rathbun
                         79

-------
         INFLOW HYDROGRAPH


         STATION 12:  SOUTH  CHARITON  RIVER
£2
o
1000
800
600
400
200
(
t
MA
IS
-
-
-
-
-
, I- 	 -
3 10 20 30
)78




J







•I


I^BMH^^MH
1
40 50 60 TO
DAYS
4
     Fiaure III-5.   Model Inflow to  Lake Pathbun
                          80

-------
                     LASSO  IN  LAKE RATHBUN


                      INPUT  CONCENTRATIONS
     20

a:
i-





8
     10
        -O—  STATION  11, FIELD  DATA


        •-O--  STATION  12, FIELD  DATA
                                                       70
                              TIME, DAYS
Figure III-6.   Measured Alachlor Inflow Concentrations and Model Input
                              81

-------
                   LASSO IN  LAKE  RATHBUN
   04
o>
 . 03
   02
ui
o
UJ
     0
     t
   MAY  18,
    1978
   LAKE CONCENTRATION (MODEL)
   LAKE CONCENTRATION  (OBSERVED)
   SK -- .04 DAY"1
   K»  * .03 DAY"1
   Kp  ~- 260
    M * 39 mg/t
10
20
30
       40

»TIME,  DAYS
                      50
60
                                           70
80
    Figure III-7,  Model  Results and Measured Alachlor Concentrations
                 in Lake  Rathbun, 1978
                               82

-------
CD
a,
a.



O
15
                    ATRAZINE  IN  LAKE RATHBUN

                        INPUT CONCENTRATIONS
       •a— STATION 1 1

       -•-- STATION 12
   9

    i
 MAY 18.
  1978
                 20
                         30      40

                        	»TIME. DAYS
50
        60
                70
     Figure III-8.  Measured Atrazine Concentrations and Model

                   Input
                              83

-------
 CO
 Q.
 Q.
a:

z
tu
o

o
o
  06
   03
                    ATRAZINE IN LAKE RATHBUN


       	YODEL RESULTS (USING DOUBLE OF ACTUAL INPUTS)

        »  CONCENTRATION  IN OUTFLOW

        r  CONCENTRATION  IN LAKE


                         T



       EK - 0 01 DAV1                 *
     0



   MAY 18.

    1978
                           30      40

                          —••TIME.  DAYS
                                                  6O
Figure III-9.  Model  Results and Measured Atrazine  Concentrations
                               84

-------
0, .
a.
g
                  DIELDRIN  IN  LAKE RATHBUN
                     INPUT CONCENTRATIONS
—O— STATION 11
—O— STATION 12
   t
 MAY 18.
  1978
          10
                  20
                  30      40

                 >TIME DAYS
                                         50
                                                60
                                                        70
Figure 111-10.  Measured Dieldrin Concentrations and Model  Input
                              85

-------
  10
H-
Q.
0.

2
2 08
x.
t-
UJ
     -   K0
  06
O
o
                    DIELDRIN IN LAKE RATHBUN
         SK' 6*10-5 DAY'1
         K, * 03 DAY'1
7000
39 mg
	MODEL RESULTS
      (USING ACTUAL  INPUT)

	MODEL RESULTS ( USING
      DOUBLE OF ACTUAL  INPUT)

 9  CONCENTRATION  IN OUTFLOW
 T  CONCENTRATION  IN LAKE
     0
     t
  MAY 18,
   1978
             10
                     20
                30       40
                •»TIME. DAYS
                                             50
                                                      60
                                                              70
  Figure 111-11.   Model Results and Measured  Dieldrin  Concentrations
                                 86

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                                CHAPTER IV

                     CONCLUSIONS AND RECOMMENDATIONS
CONCLUSIONS

     The model TOXIC (and versions thereof) has been calibrated with Iowa
reservoir data for the insecticide dleldrln and the herbicides alachlor and
atrazine.  Steady state analyses and quasi-dynamic simulations with time-
variable flows and loadings have been accomplished.  Model  coefficients
were derived from laboratory data and 1n some cases literature data.

     For the herbicide alachlor, laboratory protocol measurements were used
directly in mode! simulations with excellent agreement between model  pre-
dictions and measured concentrations.  Thus the model may be considered
field-validated.   Laboratory measurements were used 1n simulations of
alachlor, atrazine and dieldrin, and results were generally within an order-
of-magnitude of field data.

     Of course the toxic substance model described in this  report can still
be improved.  It can certainly be made more mechanistic and complicated,
but the lawof diminishing returns will  apply in further endeavors.   It is
romewhaf difficult to speak of a validated model code--we gain confidence in
the model structure and code with each new and successful  application.   A
new calibration and verification is necessary for each new chemical  which
tests each  v j feature of the model TOXIC.   In this research the model  has
been successfully tested for three toxic chemicals under a  variety of con-
ditions and locations.

     One of the most important aspects  of the dleldrln simulations in
Chapters II and III was the choice of time scale and space scale.  Especially
in quasi-dynamic applications, where one variable varies in time and  space
while another 1s  held constant, averaging problems arise.   To simulate both
the exposure concentration and mass fluxes  accurately, one must use a fully
dynamic, spatially variable model 1n which  flow, suspended  solids,  toxicant
concentration, pH, and other state variables are functions  of time and
space.   Fortunately most applications do not require such accuracy,  and we
may settle for steady state or quasi-dynamicmodels such as  TOXIC.   TOXIC
was utilized in a management decision by the Iowa Conservation Commission  to
11ft the ban on commerical fishing in Coralville Reservoir  in 1979.

     Sediment has been a small net source of dieldrin to the water column  of
Coralville Reservoir, especially important  under low flow conditions.
Coralvilie Reservoir contains approximately 100 Ibs of dieldrin in  the
sediment,  It will take 6-10 more years to  achieve less than detectable


                                    87

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(<0,002 yg/i) dieldrin in the water column, primarily due to continued in-
flow as well as sediment desorption.

     Lastly, field bioconcentration factors when normalized on a lipid basis
were approximately equal to laboratory - derived bioconcentration factors
similarly weighted.  The bioconcentration factors were also proportional to
the octanol water partition coefficient.   Bioconcentration is the primary
mode of pesticide uptake in Coralville Reservoir and food items are
generally of less importance.

RECOMMENDATIONS

     The following recommendations are offered

     1) Reactions in the sediment phase,  especially biotransformations and
        sediment catalyzed reactions, are critical  to model results.   This
        is an area of future  research needs.

     2) Most hydrophoblc toxics are Intimately connected with the solids
        balance.  More research is needed in the area of sediment transport,
        especially of cohesive sediments.

     3) Chronic biological effects should be examined in headwater streams
        where nonpoint source runoff concentrations are large and diversity
        is high.  Modeling will require a fully dynamic approach.

     The key to modeling toxic chemicals  is not unlike that for the con-
ventional pollutants;  one needs a tight  water budget, a knowledge of
mixing characteristics, a good solids balance, and accurate reaction
kinetics.
                                    88

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     APPENDIX
TOXIC Documentation
   Program Codes
   Sample Input
  Sample Outputs
        89

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           TOXIC, A multicompartment pesticide simulation model


     TOXIC is a 30 compartment pesticide simulation model.  It is mainly
intended for simulating one pesticide in a reservoir.   TOXIC considers the
aquatic system being simulated as being divided into a number of compart-
ments, not exceeding 30.  Each compartment is considered to be a completely
mixed system.  The concentration of pesticide through time 1s described by
a set of ordinary differential equations, one for each compartment.   The
equations are integrated by the Runge-Kutta fourth order method to result
in a simulation.

     The inputs to the model can be classified under the following
categories:

     1.   Geometric properties, such as volumes of compartments, distances
          between them, surface areas, and locations with respect to other
          compartments
     2.   Flows between compartments, and between each compartment and the
          outside of the system
     3.   Reaction rates, settling rate constants, and partition coeffi-
          cients
     4.   Solids concentrations in each compartment
     5.   Bulk dispersion coefficients between compartments
     6.   Simulation parameters such as step size and time of simulation.

     The solids concentration in each compartment is obtained from another
model called SOLIDS.  SOLIDS is similar to TOXIC in every way except that
only solids are simulated.  The input for the solids model are 1,2,5 and 6
above.

     The subroutines involved in TOXIC are:

1.   The main program.
     The main program reads in all the input data.  All reaction rates and
     flows are initialized to zero.  The input is in free format, therefore
     only the non zero elements need to specified.  The main program also
     checks for a flow balance on each compartment within an error of 5%,
     If the flows do not balance, it calls subroutine ERROR which prints out
     an error message.  If errors are found in the input data, simulation is
     not attempted.  If no errors are found, the main program calls  sub-
     routine SOLVE which performs the integration.  The main program also
     echo checks the reaction rates and prints the fractions in the  dis-
     solved and suspended phases for each compartment.  Other input  data is
     echo checked on request.

2.   Subroutine ERROR.
     This subroutine prints out error messages and keeps a count on  flow
     balance errors.

3.   Subroutine PRINT.
     This subroutine echo checks the input data on request.

                                    90

-------
4.   Subroutine SOLVE.
     This is the executive routine which performs the integration.

5.   Subroutine DIFFEQ.
     This subroutine sets up the differential equations for each compart-
     ment.  It is called by SOLVE several times during each integration step.

6.   Subroutine INPUTS.
     This subroutine is called by subroutine SOLVE at the beginning of each
     integration step.  INPUTS has to be provided by the user, and contains
     any exogenous inputs to the sytem such as concentrations in inflows.
                               COMMON BLOCKS

The common blocks used 1n TOXIC are:

 COMMON /GEN/ NUM,H,OUTDEL,TFIN,TIM,NERR,NOUT,INTER

 COMMON /FLOWS/ V(30),QIN(30),QOUT(30),Q(30,30),IPOS(30,30),
1ED(30,30),EP(30,30),SA(30,30),AL(30,30),DISP(30,30),DISD(30,30)

 COMMON /SOLIDS/ AM(30),AMIN(30),DAM(30),AKS(30),PC(30)

 COMMON /CONC/ C(30),CIN(30),DC(30),AF1(30),AF2(30),F(30,10)

 COMMON /REACT/ AQY(30),AKI(30),AKP(30),OXK(30),R02(30),AKO(30),
1BKB(30),AKA(30),AKN(30),PH(30),AKH(30),AKV(30),GRM(30),YLK(30),
2HKS(30),XMB(30),AKB(30)

 COMMON /REAC2/ OXKP(30)fR02P(30),AKOP(30),BKBP(30),AKNP(30),
1PHP(30),AKPH(30),GRMP(30),YLKP(30),HKSP(30),XMBP(30),AKBP(30)


Each of the variables in  these common blocks will  be explained now.
                                     91

-------
            COMMON /GEN/ NUM,H,OUTDEL,TFIN,TIMNERR,NOUT,INTER
Variable                        Description                    Provided by:
NUM             Number of compartments in system.                 User
H               Step size for integration, days.                  User
OUTDEL          Time between storage of output,                  User
                days.
TFIN            Time of simulation, days.                        User
TIM             Current simulation time, days.                    Computed
NERR            Number of errors in input days.                  Computed
NOUT            Number of output points.                         Computed
INTER           Indicator for printing fluxes                    User
                between compartments.
                = 1  ; print fluxes
                = 2  : do not print fluxes
This common block is used to specify general  simulation parameters.
                                     92

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     COMMON /FLOWS/ V(30),QIN(30),QOUT(30),Q(30),IPOS(30,30),
    1ED(30,30),EP(30,30),SA(30,30),AL(30,30),DISD(30,30),DISP(30,30)
Variable
QIN(I)


QOUT(I)


Q(I,J)


IPOS(I,J)


£0(1, J)



EP(I,J)



SA(I,J)


AL(I,J)


DISD(I,J)

DISP(I,J)
                Description

Volume of compartment I,

Inflow to compartment I
from outside the system,

Outflow from compartment I
to outside the system,

Flow from compartment I
to compartment J,
                                              Mm"
MmVday
Mm3/day
MnT/day
=1; compartment I 1s above comp.  J
=0; compartment I not above comp.  J

Dispersion coefficient for dissolved
phase between compartment I and-
compartment J,                m /day

Dispersion coefficient for partlculate
phase between compartment I    ~
and compartment J,            m /day

Surface area between compartmentjl
and compartment J,            km

Mean distance between compartment I
and compartment J,            m

ED(I,J)*SA(I,J)/AL(I,J)

EP(I,J)*SA(I,J)/AL(I,J)
Provided by:

  User

  User


  User


  User


  User


  User



  User



  User


  User


  Computed

  Computed
*Mm3 - 106 m3
                                     93

-------
          COMMON /SOLIDS/ AM(30),AMIN(30),DAM(30),AKS(30),PC(30)

Variable                        Description                    Provided by:
AM(I)           Mass of solids in compartment I   kg/1           User
AMIN(I)*        Mass of solids in inflow for                     User
                compartment I                     kg/1
DAM(I)*         Derivative of AM(I)               kg/1-day       Computed
AKS(I)          Settling rate constant                           User
                for compartment I                 I/day
PC(I)           Partition coefficient for                        User
                compartment I                     i/kg

*Used only for the solids balance model.
                                     94

-------
       COMMON /CONC/ C(30),CIN(30),DC(30),AF1 (30),AF2(30),F(30,10)
Variable
C(D
CIN(I)


DC(I)
API(I)

AF2(I}
                Description
Concentration of pesticide in
compartment I,                   ug/1
Concentration of pesticide
in inflow to compartment I,      vg/1
Derivative of C(I)               ug/l/day
Fraction of pesticide 1n dissolved
phase in compartment I
Fraction of pesticide in participate
phase in compartment I
Net reaction rate of type J in
compartment I                    I/day
J                  Type
1     Photolysis in dissolved phase
2     Oxidation in dissolved phase
3     Hydrolysis in dissolved phase
4     Volatilization in dissolved phase
5     Biolysis in dissolved phase
6     Settling in participate phase
7     Oxidation in participate phase
8     Hydrolysis in participate phase
9     Biolysis in participate phase
Provided by:
  Computed
(Initial
 values are
 user pro-
 vided)
  User
(through sub-
 routine
 INPUTS)
  Computed
  Computed
  Computed

  Computed
                                     95

-------
      COMMON /REACT/ AQY(30),AKI(30),AKP(30),OXK(30),R02(30),AKO(30),
     1BKB(30),AKA(30),AKN(30),PH(30),AKH(30),AKV(30),GRM(30),YLD(30),
     2HKS(30),XMB(30),AKB(30)
Variable

AQY(I)


AKI(I)


AKP(I)


OXK(I)


R02(I)


AKO(I)


BKB(I)


AKA(I)


AKN(I)


PH(I)


AKH(I)



AKV(I)


GRM(I)


YLD(I)
                Description                    Provided by:

Quantum yield for photolysis in                  User
dissolved phase

Suirenation of the molar extinction                User
coefficient times the light intensity, I/day

Photolysis rate constant for the                 Computed
dissolved phase = AQY(I)*AKI(I)        I/day

Oxidation rate constant for the                  User
dissolved phase                   1/mole-day

Concentration of R02 in the                      User
dissolved phase                       mole/1

Oxidation rate constant in the                   Computed
dissolved phase = OXK(I)*R02(I)

Base catalyzed hydrolysis rate constant          User
in dissolved phase                I/mole-day

Acid catalysed hydrolysis rate constant          User
in dissolved phase                I/mole-day

Neutral hydrolysis rate constant                 User
in dissolved phase                     I/day

Hydrogen ion concentration in                    User
dissolved phase (cannot equal zero)    mole/1
Hydrolysis rate constant in dissolved
phase
= BKB(I)*10**(-14)/PH(I) + AKA(I)*PH(I) + AKN(I)
Volatilization rate constant 1n
dissolved phase                        I/day

Maximum growth of the bugs in the
dissolved phase                        I/day

Cell yield in the dissolved phase
(cannot equal zero)                    ug/yg
Computed
User
User
User
                                                    (continued on next page)
                                     96

-------
Variable                        Description                    Provided by;

HKS(I)          Half saturation concentration in the             User
                dissolved phase                         yg/1

XMB(I)          Concentration of blomass                ug/1      User

AKB(I)          Biolysis rate constant in the                    Computed
                dissolved phase                        I/day
                = GRM(I)*XMB(I)/YLD(I)/HKS{I)


Note:  I refers to compartment number
                                     97

-------
   COMMON /REAC2/ OXKP(30),R02P(30),AKOP(30),BKBP(30),AKAP(30),AKNP(30),
  1PHP(30),AKHP(30),GRMP(30),YLDP(30),HKSP(30),XMBP(30),AKBP(30)
Variable
OXKP(I)
R02P(I)
AKOP(I)
BKBP(I)
AKAP(I)
AKNP(I)
PHP(I)
AKHP(I)
GRMP(I)
YLDP(I)
HKSP(I)
XMBP(I)
AKBP(I)
Description
Oxidation rate in the particulate
phase 1 /mole- day
Concentration of R02 in the
particulate phase mole/1
Oxidation rate constant in
particulate phase I/day
= OXKP(I)*R02P(I)
Base catalyzed hydrolysis rate
constant in particulate phase I/mole-day
Acid catalyzed hydrolysis rate
constant in particulate phase I/mole-day
Neutral hydrolysis rate constant
in particulate phase I/day
Hydrogen ion concentration in
particulate phase (cannot equal zero) mole/1
Hydrolysis rate constant in
particulate phase
= BKBP(I)*10**(-14)/PHP(I) + AKAP(n*PHP(I)
+ AKNP(I)
Maximum growth rate of bugs in
particulate phase I/day
Cell yield in particulate phase
(cannot equal zero) g/g
Half saturation concentration in
particulate phase (cannot equal zero) g/1
Concentration of biomass in
particulate phase g/1
Biolysis rate constant in
particulate phase I/day
Provided by
User
User
Computed
User
User
User
User
Computed
User
User
User
User
Computed
                  GRMP(I)*XMBP(I)/YLDP(I)/HKSP(I)
Note:  I refers to compartment number
                                    98

-------
                     INSTRUCTIONS FOR RUNNING  'TOXIC'
     TOXIC is a 30-compartment model for simulating toxic organics  in
reservoirs.  The data for TOXIC is contained in the file DATA.  The  file
DATA is assigned logical unit #5 in TOXIC (corresponding to PRIME file
unit #1).

     In order to run TOXIC, the file DATA must first be opened.  This is
done by the command:

          0 DATA 1 1

     To run TOXIC, type the command:

          SEG fTOXIC

     The output from TOXIC will appear on the terminal.  If you wish to
store the output 1n a file, use the COMO command thus:

          COMO filename
          COMO -E

     Whate1 c" appears on the terminal between the commands COMO filename
and COMO -E will be stored in the file specified by filename.  This file
can then be spooled or edited as desired.

     The following example illustrates the procedure just described.  The
output from TOXIC is stored in the file OUTPUT.  (OK is the system prompt).

          OK,0 DATA 1 1

          OK,COMO OUTPUT

          OK,SEG #TOXIC
          Output from TOXIC appears on the terminal
                                    99

-------
          OK,COMO -E

     The file OUTPUT now contains the output from TOXIC.   When not required
any more, it should be deleted.
                                    100

-------
     PROGRAM CODES
TOXIC
TOXIC - 30 compartment version
TWOCOMP
TWOCOMP1
          101

-------
              NULL,
            C
            C
                   COMMON  NUMrHfOim'ETLrTFIN'NERRrNOUT
                   COMMON  QIN(20)rQOUr(20) , Q ( 20 < 2Q ) , IPOS ( 20 , 20 ) , DIS ( 20 , 20 )
                   COMMON  C(20)rDC(20)rF(20riO)rCIN(20)»V(20)rAFK20)rAF2<20)
                   COMMON  AM(20)
DIMENSION
DIMENSION
DIMENSION
DIMENSION
DIMENSION
DIMENSION
DIMENSION
DIMENSION
DIMENSION
o
PO
            C
            C
            C
            C*****INITIALIZE  VARIABLES
            C
                  PO  100  I=lr20
                  QIN(I)=0.0
                  GOUT'SA<20>20>rAL(20r20)rHMD(20)
                AQY(20)'AKIi20) rAKF (20)
                OXk(20)rR02(20) r AKO ( 20 ) r BKB ( 20 )
                AKA(20) rAKN(20) > f H( 20) f AKH( 20 )
                AKV(20) »AKS(20)
                GRM(20) r YLD ( 20) r HKS( 20) r XMB( 20) f AkB(20)
                OXKF(20>»RO:F ( 20 ) - AKOF ( 20) > BKBF ( 20 )
                                   PHP ( 20 ) , AKHF ( 20 )
                                   HKSF (20) < XMBF ( 20 ) * AKBF ( 20 )
                             AKAF(20) -AKNF(20)
                             GRMF (20) 'YLI'F(20)
                  DO  110 J=lr20
                  IFOS(IrJ)=0
                  Q ( I f J ) - 0 . 0
                  E ( I r J ) = 0 . 0
                  SA(I- J)=0,0
                               0
  100 CONTINUE

C*****S£T ALL REACTION RATES TO  ZERO
C
      DO 120 1=1
      AQY(I)=0.0
      AM (I>=0,
      OXI\(I)-0,
      ro2(i)-o,
      HKB(I)=0
      AhA(1)^0,
      AKN(I)=0.
                           .0
                           .0
                           .0
                           .0
                           .0
                           .0
                Table 1,  TOXIC code in Extended Fortran for PRIME 750 computer

-------
      I Hi 1)
      AKy=0
      GF«M(I>=0
      XMB = 0.0
                 CKBF = 1.0
                 HKSP(I)=1.0

             120 CONTINUE
                     LOGICAL UNIT NUMBERS  FOR  INPUT  AND  OUTPUT
o
CO
C:*****SET
ic
      INFUT=5
      NOUT=1
      |vEAr(INFUT-200) CHEM
  200 FORMAT(AIO)
      URITE(NOUTr210) CHEM
  210 FORMAT(///lXr'INPUT DATA  FOR'rlXrAlO)

      REAP (INPUT'*) NUM'H'nUTI'ELrTFIN
      URITE(NOUTf230) MUM ' H * OUTE'EL ' TFIN
  230 FORMATdXr'NUMBER  OF  COMFARTMENTS= ' r I5/1X r
     1           'STEP SIZE  FOR  CALCULATIONS^'rF10.2f
     2           'TIME BETWEEN OUTPUT  fOINTS='rF10.2,
     3           'TIME FOR SIMULATION        ='rF10.2r
                                                                  DAYS'
                                                                  DAYS'
                                                                  DAYS'
                 PEAD
      L'O  ?70  1 = 1.NUM
  270 WRITE
-------
      E'O 281 I=1'NUM
  281 KEADdNFUTr*) ( Q < I r J) - J= 1 - N'UM )
      WRITE
  285 FORMAT(/20Xf'INTERFLOW MATRIX FOR COMPARTMENTS')
      DO 290 I=lrNUM
  290 WRITE>
C
C*****CHECt\ FOR A FLOW BALANCE ON EACH COMPARTMENT
C
      DO 301 I=lfNUM
      FIN=QIN(I)
      FOUT=QOUT(I)
      DO 302 J=lfNUM
      FIN=FIN+G(JfI)
  302 FOUT=FOUT + Qdf J)
      IF (FIN.NE.FOUT) CALL ERRORd'I)
  301 CONTINUE

      READdNFUTf*)  NUM )
      READdNFUTf*) (HMD (I) f I- IrNUM'
C
C
      URITE(NOUTf350)
  350 FORMAT(/23X'DISFERSIOH  COEFFICIENTS')
      WRITE(NOUI f 360)  ( (Ed-J) f J=1-NUM) f 1=1 f NUM)
  360 FOF.'MAl 

-------
  370 FORMAT(/2^X'INTERFACE AREAS')
      URITE(NOUTr380) ((SAd-J)fJ=1'NUM>- 1 = 1fNUM)
  300 FORMAT(/9F8.3)
      WRITE(NOUT'3»0>
  390 FORMAT(/20X'MEAN LENGTH BETWEEN COMPARTMENTS')
      URITE(NOUT'400) ((AL(1>J),J-1,NUM),I=1rNUM)
  400 FORMAT(/1X'9E9.3)
r
      DO 402 I=lrNUM
      DO 403 J=lfNUM
  403 DISC If .)) = <£(!-J)*SA( I-.I) )/AL(I-J)
  402 CONTINUE
C
C***#*READ IN REACTION RATES
C
      F>E AD (INPUT'*) 
C
      READdNFUTr*) ( AKI (I ) » I = 1 r NUM )
C
      DO 430 I=lfNUM
      AKF(I)=AQY(I)*AKI(I)
  430 CONTINUE
C
C***)K*AKP IS THE PHOTOLYSIS RATE CONSTANT (PER DAY)
C
      I'D 440 I = lrNUM
  440 F(Irl) = AFl(I>*AI\F(I>
C
C*****OXIDATION FOR THE DISSOLVED PHASE
C
      READdNFUT-*) ( OXK (I) , 1 = 1 , NUM >
C
      READdNFUTr*) (R02(I) -1 = 1. NUM)
C
      I'D 470 I = 1'NUM
  470 ANO(I)=OXK(I)*R02(I)
C
C*****AKO IS THE OXIDATION RATE CONSTANT (PER DAY)
C
      DO 480 I=1'NUM
  480 F(lr2) = AFld)*AKOd)
C
      READdNPUT'*) (PKBd)-I = 1'NUM)
C
      READ (INPUT-*) (AKAd) > I-If NUM)
C
      RtLADdNPUTf *) (ANNd) -T-1'NUM)

      KLAD(INPUTf*)  fI- 1

-------
c
      I'D 500 I=lrNUM
  000 ANHm = BI\B*PH
C
C*****VOLATILIZATION FOR THE DISSOLVED PHASE
C
      READUNPUTr*) (AKVU) r I = lrNUM>
C
      I'O 520 I=lrNUM
  520 F(If4)=AFl(I)*AKV(I)

C*****BIODEGRADATION FOR THE DISSOLVED PHASE
C
      READdNFUTr*) < GRM (I) r 1 = 1 , NUM >

      READ(INFUTf*) (YLD(I)r1=1,NUM)
C
      READdNFUTr*) (HKP< I) ^ 1-1 ^NUM)
C
      READUNFUTr*) ( XMB (I) r 1 = 1' NUM )
C
      DO 540 I=lrNUM
  540 AKB(I)=6RM(I)*XMB(I)/YLD(I)/HKS(I)
C
      DO 550 I=lfNUM
  550 F(If5)=AFl(I)*AKB(I)
C
C*****SETTLIN6 FOR THE PARTICIPATE PHASE
C
      READdNFUTr*) ( AKS (I ) < 1 = 1 - NUM )
      URITE*AKS9I4)

-------
c
r*****
c**********************************
C***** REACTION RATES FOR  THE *****
C***** FARTICUL.MTE PHASE      *****
C**********************************
r*****
C
C*****OXIDATION
C
      REAPdNFUTr*) (OXKF(I) r I-lrNUM)
C
      REAI'dNFUTr*) 
C
      DO 600 I=1,NUM
  600 AKOFd)=OXKFd)*R02Fd)
C
      DO 610 1=1, NUM
  610 Fdr7>-AF2d)*AKOPd)
C
C#****HYPROLYSIS
C
      REAPdNFUTr*) (BKBF (I) * 1=1, NUM)
C
      REAPdNFUTr*) (AKAP(I)'I = lfNUM)
C
      REAI'dNFUTr*) ( AKNP '. I ) - 1 = 1 r NUM)
      READdNPUTr *) (FHFd) r 1=1 r NUM)
C
      DO 620 I=lrNUM
  620 AKHFd) = BKBF(I)*10**(-14)/FHP(I)  +  AKAF( I )*PHP( I )  4  AKNFd)
      I'D 630 1 = If NUM
  630 Fd'8)=AF2d)*AKHFd>
C
C*****BIOPEGRADATION
C
      RTADdNFUTr*)  ( CF.MF ( I ) ' I - 1 • NUM )
      REAP (INPUT r *)  (YLPK
-------
                UKITE(NOUT'680)
            680  FQRMAT(//llXf'FSEUDO-FIRST-ORDER RATE CONSTANTS (PER PAY)'/
               121Xr'IN THE DISSOLVED PHASE')
                URITE(NOUTf68S>
            685  FORMAT(//3Xr'CMFN'r2X,'PHOTOLYSIS  OXIDATION  HYDROLYSIS   BIOLYSI
               IS  VOLATILIZATION')
                DO  690  I=lfNUM
            690  WRITE(NOUTr700)  I ' AI\F ( I ) , Al\0< I ) ' AKH (I ) ' AKB (I ) > AKV (I )
            700  FORMATUXr I5r5F12. 7)
          C
                WRITE(NOUT'710>
            710  FOF:MAT(//llXr ' PSEUI'O-FIRST-ORDER RATE CONSTANTS AKOP  GO  TO 800
          C
                URITE 20 ) r DIS ( 20 , 20 )
                COMMON  C(20) r DC (20) -F^O- 10 / -CIN<20) rV(20) r AFK20) ' AF2(20)
                COMMON  AM(20)
          C
          C
                DIMENSION TOUT (50) r CL ' ,70 ) r A 1 ( 20 > r A2 ( 20 ) , A3 ( 20 ) r A4 ( 20 )
                DIMENSION CT(50f 20) rfD(L-Or20> 'CF(DOf 20) rCM(50f 20)
                DIMENSION Rl (20) fR2'- ,T•) < F'3 ( ?'." ) f R4 ( 20 ) r R5 ( 20 )
                DIMENSION EXT<20)'FNEr(20>

-------
          C
                URITEU'lll)
            111 Ff)RMAT TO EACH COMPARTMENT')
                WKITE(l-222)
            222 FORMAT+DTHLF*A1(I>
                CALL DIFFEO (Rl r R2 f R.7 - R4 ' Rf. - EXT r FNET )
                DO 120 1=1
                A2(I)=DC(I)
            120 C(I)-CL(I)-fDTHLF*A2(I)
                CALL DIFFER(RlrR2-R3-R4'R5'EXT-FNET)
                DO 130 I=1'NUM
                A3(I)=DC
-------
      TOUT(IOUT)=TIM
      CFdOUTr I)-C(I)
      CFdOUTr I)=AF2(I)*C(I)
      CM< TOUTr I) = CF(IOUTr I)/AMd)
  160 CONTINUE
C
      WRITE(lr401) TIM
  401 FORMAT < ///30X , 'TIME=' -F8- 1//'CMFN' r 5X r ' Rl ' , 14X r ' R2 ' , 14X »
     1 'R3' r 13Xr 'R4' r!3Xr 'R5 r!2Xr 'EXT' r!2Xr 'FNET'/)
      DO 402 I=lrNUM
  402 URITE(lr403) I ' Rl ( I )  - R2 (I ) » R3d ) r R4 (I ) r R5 ( I ) r EXT (I ) r FNET d )
  403 FORMAT(I3r7(3XrE12,6) )
      IF(TIM.GE.TFIN)  CO TO 170
      IOUT=IOUT-fl
      TSAV=TSAV+OUTPEL
      GO TO  50
C
  170 URITEtNOUTr 180)  TFIN
  180 FORMAT(//17X SIMULATION HALTED AT  TIME  = 'rF7.D
C
C*****FRINT  RESULTS
C
      URITE
  200 FORMAT(///10Xr 'TOTAL  CONCENTRATION OF PESTICIDE OVER TIME (FFB)'
     l//lXr  TIME (DAYS)' rl&Xr 'COMPARTMENT NUMBER' )
      URITE(NOUTr205)  drI=lrNUM>
  205 FORMAT(/'9X-9I7/)
      DO 210 L=1»IOUT
  210 URITE 3 • S> >
      DO 270 L=1'IOUT
  270 WRITE(NOUT-220)  TOUT  <• L ) - ( CF ( L r I ) > 1= 1 , NUM )

-------
      UFITE'COMPARTMENT NUMBER  >
      DO 290 L=1'IOUT
  290 URITE(NOUT-300> TOUTC >r(CM- I = 1'NUM>
  300 FORMATUXrFS. lr9(lXr! 7.2»
C
      RETURN
      END
C
      SUBROUTINE DIFFECMRl'R2rR3rR4rR5.EXTfFNET>
C
C
      COMMON NUMrH.OUTDFL'TFINrNF.RRrNOUT
      COMMON QINC20)rQOUT<20)-Q(20r20).IF OS<20r20)>DIS<20'20)
      COMMON C(20) 'DC(20> 'F(20'10) rCIN(20) rV(20) rAFK20) f AF2(20)
      COMMON AMC20)
C
      DIMENSION Rl(20)rR2(20).R3(20)'R4(20)rR5<20)
      DIMENSION EXT(20)rFNET(20)
C
C
      L'0 100 I = lrNUM
C
C*****INITIALI2E NET FLUXES
C
      R1(I)=0-0
      R2 = 0 . 0
C
C*****MA5S FLUX DUE TO INFLOWS FROM OTHER COMPARTMENTS

      I'D 110 J=lrNUM
  110 Rl(I)=Rl(I)+Q(JfI)*C
-------
      DO 130 K=lr9
  130 R3(I)=R3-fF
C
C*****MASS FLUX DUE TO DISPERSION
C
      DO 140 J=lrNUM
  140 R4(I>=R4+DIS(I-J>*>

C*****MASS FLUX DUE TO SETTLING FROM ABOVE
C
      DO 150 J=lrNUM
  150 R5(I)=R5(I)+F
C
C*****SET UF DIFFERENTIAL EQUATION FOR EACH COMPARTMENT
C
      EXT(I)=QIN(I)#CIN(I) - QOUT(I)#C(I)
      FNET(I)=EXT(I) + Rl(I) - R2(I) - R3(I) + R4(I) +
      DC(I)=FNET(I)/V(I)
C
  100 CONTINUE
      RETURN
      END
BOTTOM
Q

-------
 •NULL-
 C
 C*****FROGRAM FOR  PESTICIDE  SIMULATION IN AQUATIC SYSTEMS
 C*****30 COMPARTMENT  MODEL
 C#****AUTHQK  ! NARASINGA  B.  RAO
 C
       COMMON  /CEN/ NUM,HrOUTDEl - TIM,TFIN,NERR,NOUT- INTER
       COMMON  /FLOWS/  V ( 30 ) r QIN (^0 ) r QOIJT < 30 ) , Q ( 30 ,10 )
      1 . IFOS(30r30) f ED(30r30)rE.F (30f 30) » SA(30f 30)f AL(30r30)
      2rDISD(30f30)fDISF(30.30)
       COMMON  /SOLIDS/  AM<30)-AMIN(30),DAM(30),AKS(30)rPC(30)
       COMMON  /CONC/ C(30),CIN(30)- DC<30 ) ,AF1(30)rAF2(30)rF(30r10)
 C
       INTEGER**  CHEMC3)
       COMMON  /RE AC I/  AQY<30) -AM (30) rAI\F(30) 'OXK(SO) f R02 ( 30 ) f AKO ( 30 ) ,
      16KB(30)rAKA(30)fANN(30).FH(30)>AKH(30> rAKV(30)rGRM(30)rYLD(30)r
      2HKS(30)rXMB(30)-AKB(30)
       COMMON  /REAC2/  OXKF(30),RO?F(30),AKOF(30),BKBP(30)>AKAF(30) r
      1AKNF(30)rFHF(30)rAMHF<30>'GRMP(30)fYLDF(30)fHKSP(30)rXMBP(30),
      2AKBF(30)
 C
 C*****INITIALIZE VARIABLES
 C
       DO 100  1-1.30
       QIN(I)=0.0
       QOUT(I)=0.0
       CIN(I)=0.0
       DO 110  J=lf30
       IFOSd- J)=0
       Q(IfJ)=0-0
       £ D (I r J) = 0 . 0
       l~f (I- J) = 0.0
       SAdf J) = 0.0
       Al(IrJ)=l,0
   110 CONTINUE
   100 CONTINUE

 Cf<*)lt**SEr  ALL REACTION  RATES  TO  ZERO
 C
       DO 120  I=lr30
       AQY(I)=0,0
       AM(I) = 0.0
       OXK(I)=0-0
       f>'0?(I)-1.0
       BKB(I>=0-0
       ANA(I)^0.0

Table 2.   30 - compartment TOXIC code in Extended Fortran for PRIME 750 computer

-------
      AKN(I)=0.0
      FHd) = 1.0E-07
      AKV(I)=0-0
      ORhd>--0.0
      YLDd)-l -0
      HKS(I)=1 .0
      R02Pd) = 1.0
      EKBF d) = 0-0
      AKAF d>=0.0
      AKNF d> = 0-0
      PHFU> = 1.0E-07
      GRMF d)=0.0
      XMBFd>=0.0
      YLPPd) = l .0
      HI\SPd) = l ,0
C
  120 CONTINUE
C
      NERR=0
C
L#>K!((*!KSET LOGICAL UNIT NUMBERS FOR  INPUT  AND  OUTPUT
      NOUT=1
      READ(INFUTF200) CHEM
  200 FORMAT<3A4)
      URITE(NOUT'210) CHEM
  210 FORHAT(///1X' ' INPUT DATA FOR'flX'3A4)

      REAI'dNFUTr*) NUMfH'OUTI'ELrTFIN
      WRITE(NOUTr230) NUM r H ' OUT PEL * TFTN
  1'30 FORMATdX' 'NUMBER OF COHF ARTMENTS= ' ' I5/1X *
     I          'STEP SIZE FOR CALCULATIONS= ' r F10 - 2 ' '  I'AYS'r/lX.
     2          'TIME BETUELN OUTPUT F OINTS= ' , F10 , 2 r '  PAYS' »/lX.
     3          'TIME FOR SIMULATION        ='rF10.2r'  DAYS'r/)
      REAI'dNFUTr*)  
-------
      DO 302 J=lrNUM
      FIN=FIN + C)< J' I)
  302 FOUT-FOUT + Qdr J)
C
      PIFF=ABS
      TOL=0-05*FIN
C
      IF  CALL ER ORd-I)
  301 CONTINUE
C
      REAPdNFUTf*) ( C (I) r 1= 1 , NUM )
      READdNFUT'*) ( AM ( I) , I = 1 ' NUM )
      READdNFUT.*) < F C (I) , 1 = 1 , NUM )
      DO 310 1=IfNUM
      AF1(I) = 1.0/(1.0 + AMd)*FCd)>
  310 AF2d) = 1.0 - AFld)
C
      URITE(NOUT'320>
  320 FORMAT(/'COMPARTMENT  •5X, 'INITIAL' •1 OXr 'MASS OF' rlOXr  PARTITION' »
     17Xr FRACTION IN r5Xr  FRACTION  IN  ,/12Xf'CONCENTRATION',4X'SUSFENDE
     2D SOLIDS'r4Xr'COEFFICIENT  MXr DISSOLVED PHASE'rIX< 'SUSPENDED  FHAS
     3E' )
C
      DO 330 1=1.NUM
  330 URITEAM(I ) -FC(I)  10X , F6 . 4 r 1 OX - F9 . 3 r 10X ' F6 . 0 r ?. (10X r F5 . 3 ) )
C
      NUML=NUM-1
C
      DO 341 I=1»NUML
      11=1+1
  341 REAPdNFUT-*) ( EF (I» J ) < J= 11 - NUM )
      DO 342 I=lfNUML
      11=1+1
  342 REAP (INF UTf*) ( ED (I - J ) . J--11, NUM )
      DO 343 I=lfNUML
      II = H1
  343 REAIKINFUT'*) ( SA (I r J ) < J^ 11 - NUM )
      DO 344 I=lrNUML
      11^11 1
      REAPdNFUT'*) ( AL d » J ) r J= 11 ' NUM )

      PO 345 I=1-NUML
      11=1 H
      PO 34J- J=IIrNUM
      FP( J. I) = EDdr J)
      If (J'I)=EP(I»J)
      !JA( J' I)=SA(I«.J)
      t>\.(.),l) - ALd-J)

-------
      DO 402 I=1»NUM
      I'D 403 J=1>NUM
      DISPdr J) = 
  403 I'ISPdr J) = (EP(If J)*SA< Ir J) >/AL(IrJ)
  402 CONTINUE
C
C*****REAP IN REACTION RATE5

C     READCINFUTf*) (AQY (I) , 1 = 1. NUM )
C
      REAP*R02(I)
C
C*****AKO IS THE OXIDATION RATE CONSTANT  (FER DAY)
C
      DO 480 I=lfNUM
  480 F(Ir2)=AFKI)*AKO(I)
C
      READ
-------
c
      PO 520 1=1. NUM
  520 Fd'4)=AFl(I)*AKV(I)
C
C*****BIOPEGRAPATION FOR THE PISSOLVEP PHASE
C
      REAPdNFUT.*) (GRM(I)fI-J-NUM)
C
      READ (INPUT,*) (YLDd). 1= IrNUM)
C
      REAPdNFUTr*) (HKS(I). I IrNUM)
C
      KEAPdNFUTf*) (XMBd) - I-lrNUM>
C
      I'D 540 I = lrNUM
  tJ40 AKB(I) = BRM(I)*XMB(I)/YLP(I)/HKS(I)
C
      I'D 550 I = lrNUM
  550 Fdr5) = AFl(I)*AKB(I)
C
C*****SETTLING FOR THE FARTICULATE PHASE
C
      REAPdNFUTf *)  J ) , J= 1 > NUM )
C
C
C*****
C********#***#*********************
C***** REACTION RATES FOR THE *****
C***** FARTICULATE PHASE      *****
C*************tt*************#******
C*****
C
C*****OXIPATION
C
      REAP (INPUT'*) (OXKFd) f 1 = 1 fNUM)
C
      REAP(INPUTf*) (R02F(I),I=l»NUM)
C
      PO 600 I-lrNUM
  600 AI>OF(I)=OXKF (I)*R02F(I)
C
      PO 610 I=lrNUM
  610 Fd,7)-AF2(I)*ANOFd)

-------
C*****HYDROLYSIS
C
C
C
READ(
READ(
READ(
READ(
INFUTf
INFUTf
INFUTf
INFUTf
no
*)
*)
*)

      READ/HKSF AKF (I ) • C'KO (I ) , AKH (I ) f AKB (I ) f AKV< I )
  700 FORMATdXr I5-5F12.7)
C
      URITE(NOUTf710)
  710 FOF>MAT
-------
c                                              .
C*****CHECN FOR INPUT ERRORS
C
      IF (NLRR.EQ.O) GO TO BOO
C
      URITE(NOUT.750) NERR
  75-0 FORMAT(//1X.I3.'  ERRORS FOUND IN INPUT PATA - SIMULATION NOT ATTEM
     1FTEP')
      GO TO 999
C
C
  BOO CONTINUE
      URITE(NOUT.810>
  BIO FORMAT(/1X. 'DO YOU WANT AN ECHO CHECK OF THE INPUT DATA?'.IX.
      REAPd.*) IECHO
      IFdECHO.EQ. 1) CALL PRINT
C
      WRITE(NOUT.820)
  820 FORMAT(/'PO YOU WANT INTCRMEPIATE OUTPUT (1 = YES) . (2=>NO) 7/)
      REAPd.*) INTER
      CALL SOLVE
C
  999 CALL EXIT
      END

      SUBROUTINE PRINT
C
      COMMON /GEN/ NUM.H.OUTPEL.TIM,TFIN.NERR.NOUT.INTER
      COMMON /FLOWS/ V(30).QIN(30).QOUT(30).Q(30.30)
     1.IF OS(30.30).EP(30.30).FF(30.30).SA(30.30).AL(30.30)
     2.PISP(30.30).PISP(30i30)
      COMMON /SOLIPS/ AM(30).AMIN(30).PAM<30).AKS<30>.PC(30)
      COMMON /CONC/ C(30).CIN(30).PC(30).API(30).AF2(30).F(30.10)
C
      INTEGER** CHEM(3)
      IOMMON /RFAC1/ AQY(30).AM(30).AKF(30).OXK(30).R02(30) .AKO(30).
     IBM'(30) .AKA(30) .AKN(30) . I H(30) . rtl\H< 30 ) . AKV ( 30 ) r GRM ( 30 ) . YLD(30) .
     2HKG(30).XMB(30).AKB(30)
      COMMON /REAC2/ OXKF(30) , R02F ( 30 ) . AKOF ( 30 ) -BKBF(30) .AKAF (30) .
     1AKNF(30).PHP(30).AKHF(30)-GRMF(30).YLDP(30).HKSP(30).XMBF(30).
     2AKBF(30)
      URITE(NOUT.260)
  260 FORMA! (//• 'COMPARTMENT' . :>X. ' VOLUME r MILL ION CU.M' -5X.
     1'INFLOU. MILLION CU.M •5X. OUFFLOU. MILLION CU-M')
      I'D ?70 1=1.NUM
  270 WRTTE(NOUT.280) I.V(I)•OINU)•OOUT(I)
  280 FORMAr
-------
      URITEOIOUT-285)
  285 FORMAT
  290 (JRITFJ)NUM )
      URITE(NOUTr390)
  390 FORMAT(/20X'MEAN LENGTH HETWEEN COMPARTMENTS')
      DO 4003 I=lrNUM
      WRITE(NOUTf283) I
 4003 URITE(NOUTr300) (AL(IrJ),J=1,NUM)
c
      URITE(NOUT'562) (AKS1=1rNUM)
  562 FORMAT
  ^85 FORMAT(//20Xf'COMPARTMENT POSITION MATRIX')
      DO 600 I=lrNUM
  600 URITE(NOUTr610) (IPOS
-------
c
c
      COMMON /CEN/ HUMrHrOUTDEL.TIM, >FIN»NERRrNOUTrINTER
      COMMON /FLOWS/ V(30)-QIN(30)rQOUT(30)>Q<30r30) '
     lrIFOS(30'30)rED(30'30)-ET <30>30)rSA<30»30)rAL<30r36>
     2rDISD<30r30)rDISF<30'30>
      COMMON /SOLIDS/ AM(30)'AMTN(30>- DAM(30),AKS(30)
      COMMON /CONC/ C(30)rCIN(30'rDC(30)rAF1(30)rAF2030)rF(30r10)
      COMMON /FLUX/ Rl ( 30 ) ' R2 (30 > r R3( 30) r R4 ( 30) r RM30 ), EXT ( 30) > FNET (30 )
      DIMENSION
      DIMENSION
              TOUT(50)-CL(30
              CT rC
 Al(30)-A2(30)rA3(30)rA4(30)
•30)fCF(50>30)rCM(50f30)
      IFUNTER.GT. 1) CO TO 223
311 FORMAT(//20X
1//20X''R2 =
2//20X' R3 =
3//20X>'R4 =
4//20X''RS =
5//20X-'EXT =
6//20Xr FNET=
WRITE(lf222)
222 FORMAT(//20X
223 CONTINUE
- 'Rl = FLUX
FLUX DUE TO
FLUX DUE TO
FLUX DUE TO
FLUX DUE TO
FLUX DUE FL
NET FLUX TO
r 'ALL UNITS
                               DUE TO INFLOW FROM OTHER COMPARTMENTS'
                               OUTFLOW TO  OTHER COMPARTMENTS'r
                               REACTION'r
                               DISPERSION (NET INFLOW) ',
                               SETTLING FROM ABOVE'r
                               JWS TO OR FROM OUTSIDE THE SYSTEM'r
                               EACH COMPARTMENT' )

                              IN KG/DAY7)
 40
100
      TIM=0.0
      DTHLF-0-S*H
      TSAV=OUTDEL
      DO 40 I=lfNUM
      TOUT(1)=TIM
      CTdr I>=C(I)
      CD
      CONTINUE
      IOUP'2
      DO 100 I = lfNUM
      CL(I)=C
      CALL DIFFEO
      DO 120 T=lrNUM
  120 C(I)=CL(I> fDTHLF*A2(I)

-------
ro
ro
      CALL DIFFEQ
      DO 130 I=lrNUM
      A3+2.*A3/6.
•v

      TIM=TIM+H
      TNEX=AMINO(TSAVrTFIN)
      IF(TIM.GE.TNEX) GO TO 150
      GO TO 50
  150 DO 160 I=lrNUM
      TOUT(IOUT)=TIM
      CT
      CMdOUTr I) = CF(IOUTr I)/AM(I)
  160 CONTINUE

      UKITE NUM)
^1602 FORMAT<5(2XrE12,5> )

      WRITE(NOUTr 1603) V( 16 ) r AL ( 16 r 1 )
 1603 FORMAT (/lOXr ' VOL=' rF10.2'10Xr  AL= ' rF10-3r//)
    IFdNTER.GT. 1) CO TO 444
    URITE(lf401>  TIM
401 FORMAT 
C*****FRINT RESULTS
C
      WRITE(NOUTr200)
  200 FORMAT
-------
      WRI1E(NOUT'205) I2'12XrI2Fl2X-I2rl2 rI2-12X'I2)
      DO 210 L=1-IOUT
      URITE(NOUT'220) TOUT(L)
  220 FORMAT(//23Xr'TIME='-F7-\,' PAY&'//)
      WRITE(NOUTr2201) (CT(Lr I)- I - 1rNUM)
 2201 FORMAT<5(2XrE12.5»
  210 CONTINUE

C     U)RITE (IfI=lrNUM)
      DO 240 L=lrIOUT
      URITE(NOUT-220> TOUT
      DO 290 L=1'IOUT
      URITE
-------
      R1(I)=0.0
      R2(I)=0.0
      K3< 1)^0.0
      R 4 < I > - 0 . 0
C
C*****COMFUTE DISSOLVED AND FARTICULATE CONCENTRATIONS
C
      Cr'(I)=AFl(I)*C(I)
      CF=R2(I>-NJ(Ir J)*C(I)

E******CHANGE IN CONCENTRATION DUE TO REACTION
C
      DO 130 K=lr9
  130 R3*V+DISF (I. J)*(CF1-CF (I) )
C
C*****MASS FLUX DUE TO SETTLING FROM ABOVE
C
      DO 150 J=lfNUM
  J&O R5(I)=R5(I)+F( Jr6)*C( J)*IFOS( Jf I)*V( J)
C
C*****SET UP DIFFERENTIAL EQUATION FOR EACH COMPARTMENT
C
      EXT(I)=QIN
      l'C(I)
C
  100 CONTINUF
      RF. TURN
      END
C

-------
      SUBROUTINE INPUTS
C
      COMMON /CEN/ NUMrHrOUTI'E' rTIM,TFINfNERRfNOUTrINTER
      COMMON /CONC/ C(30 ) rCIN( 50)rDC<30)rAF1<30>rAF2<30) OUTPEL-C'O.
      IF OUTPEL=600.
      IF(TIM-GE.1800.0)  GO TO 111
      CIN<1)=0.15*EXF<-0.00045*TIM>
      IF(TIM.NE.O.O) RETURN
      URITE(NOUT'100)
  100 FORM.U(/10Xf'INPUT: CIN(1) = 0.15*EXF(-0 -00045*TIM)'//)
      RETURN
C
  111 CONTINUE
      CIN(1)=0.0
      IF
-------
        U1 IWOCOMF
    EMI
    f'?9V
    •NULL.
    C
    C*****TUO COMPARTMENT MODEL FOR MASS BALANCE
    C*****CORALVILLE LAKE
    C*****CONSTANT COMPARTMENT VOLUMES
    C*****FROGRAMMER: RAO       *FRIL 1931
    c
          COMMON TIM>GTAMIN'AKSrVl>V2rE'A'ALrAH(2) rDAM(2>
          DIMENSION AML(2)
          DIMENSION Al(2)rA2(2)rA3(2>-A4(2)
          NUM = 2
          TIM=0.0
          H=l
          AMIN<=O. 00024
          AM(1)=0. 00005
          TSAV-OUTDEL
          0=3.3519
          V2=5.952
          A-19.836
          AL=1.317
      55^ FORMATt/'ENTER ENDING TIME FOR SIMULATION  (DAYS)')
          READUr*) TFIN
          WRITEdf 888)
      888 FORMAT
-------
      FLUX=FLUX1-FLUX2
      WRITEd-333) TIM
C   -
   50 CONTINUE
C
      PO 200 I = lr2
  200 AML+PTHLF*AKI>
      CALL DIFFEM
      DO 120 I=lrNUM
      A2(I)=PAM(I)
  120 AM(I)=AML(I)+DTHLF#A2
      CALL DIFFEM
      DO 130 I=lrNUM
      A3(I)=DAM(I)
  130 AM(I)=AHL(I)+H*A3(I)
      CALL DIFFEM
      DO 140 I=lrNUM
      A4(I) = DAM(I)
  J40 AM(I) = AML(I)+H*(Al(I)+2,*A2(I)4-2.*A3(I)+A4(I))/6.
      TIM=TIM+H
      TNEX=AMINO(TSAVrTFIN)
      IF(TIM.GE.TNEX) GO TO 150
      GO TO 50
  150 CONTINUE,
        UX2=(E*A*(AM(2)-^M(1) ) )/AL
      FLUX2=FLUX2*1-E09
      FLUX=FLUX1-FLUX2
      URITE(lr333) TIMr AH -FLUX lrFLUX2r FLUX
  333 FORMAT(/F5,Or 2Xr5(E12,4-2X) )
C
      IF(TIM.GE-TFIN) GO TO 444
      GO TO 50
  444 CALL EXIT
      EN1'
      r.UE'ROUTINF DIFFEM
      ( UMMON TIMrR'AMINr AKS'Vl'V2fE'A'ALf AM(2) rDAM(2)
      PAM(1)=0*(AMIN-AM<1)) - AKS*V1*AM ( 1 ) + E*A* ( AM< 2 ) - AM ( 1 ) > /Al
      PAM<1)=PAM(1)/V1
      DAM(2)r AKS*V1*AM( D/U2 + F*A* ( AM ( 1 ) - AM ( 2 ) ) / ( AL*V2 )
      PC TURN
      L'ND
BOTTOM

-------
       ED  rUOCOMFl
   EDIT
   F999
   •NULL-
   C
   C*****TWO COMPARTMENT  MODEL FOR MASS BALANCE
   C*****CORALVILLE  LAKE
   C*****VARIABLE COMPARTMENT VOLUMES
   C*****FROGRAMMER:  RAO       APRIL 1981
   c
         COMMON  TIMfQf AMINf AKS'VlfV2fErArAL'AM(2)rDAM<2)
         DIMENSION AML<2)
         DIMENSION AK2) -A2(2)rA3(2)rA4<2)
         NUM = 2
         TIM=0.0
         H=l
         AMIN=0. 00024
         A«<1)=0. 00005
         AM(2)=0-3
         OUTDEL=600
         TSAV=OUTDEL
         0=3.3519
         A-19,836
         AL=1-317
     555 FORMAT(/'ENTER  ENDING  TIME FOR SIMULATION (DAYS)')
         READdr*) TFIN
         URITE(lr888)
     888 FORMAT(/'ENTER  INFLOW  SOLIDS CONC (KG/L)')
         READU'*) AMIN
         URITE(lr999)
     999 FORMAT(/'ENTER  KS  (I/DAY)  >
         READ
-------
998 FORMAT(/'ENTER E ( MS *2/DAY ) ' )
    R£ADd-*> E
    UIRITEd'996)
996 FORMAT (/'ENTER VOLUME INCREASE FACTOR' >
    READdr*) FAC
    WRITEd'332)
332 FORMAT
-------
  120 AM
      CALL I'IFFEM
      PO 140 I=lrNUM
      A4(I)=I'AM
  140 AM(I>=AML+2,*A2-l-2.*A3+A4
      DAM(1)=Q*
-------
SAMPLE INPUT FOR TOXIC
         131

-------
Ql\r ED I'ATA
EDIT
F799
•NULL-
DIELDRIN
Vr1.0-600.Or3600 / NUMrHrOUTDELrTFIN
6.612r6.612r6.612.2.015rl3.224-13.224rl.0r2.015r2.
3.3519r/ INFLOWS FROM OUTSIDE THE SYSTEM
OrO-OrOrOr3.3519r/ OUTFLOWS TO OUTSIDE THE SYSTEM
Or3.3519r/FLOWS OUT OF COMPARTMENT 1
OrOrl,67595rO'l-67595'/ FLOWS OUT OF COMPARTMENT 2
0-OrO-OrOr1.67595r/ FLOWS OUT OF COMPARTMENT 3
Or/ FLOWS OUT OF COMPARTMENT A
OrO.O'OrOr1.67595r/ FLOWS OUT OF
Or/ FLOWS OUT OF COMPARTMENT 6
Or/ FLOWS OUT OF COMPARTMENT 7
Or/ FLOWS OUT OF COMPARTMENT 8
0-/ FLOWS OUT OF COMPARTMENT 9
  025rO-025rO.025r2.25rO
                         015
        COMPARTMENT
      025rO.Or2.25r2.25 /  INITIAL CONCENTRATIONS
0.
0.000226r 0.000126rO.000049-0-36'0.000150rO.000096r0.00005r0.577r0-424
6700-6700r6700-6700r6700r6700'6700r6700r6700  /  PARTITION  COEFFICIENTSr  PC
O.Or1.0rO,Or0.00015r/ DISPERSION COEFFICIENTS
1-OrO.Orl.Or-OOlr/
0. Of 1 . Or Of Of Or . 001 r /
.00015r/
0.0-.001-0-0r0rl.0-0r.00015rO
OrOr.OOl-Orl.OrOrO-Or.00015
Or/
O'OrOrOr,00015r/
O'0-O-O-O-.00015-/
Or.00057rO-6.612r/ INTERFACE
• 00057rOr .00057rOr6.612r/
Or.00057rO.OrO-6.612-/
  612r/
  6.612rOrOrOr.00136-Or6.61,-'rO
  Or6.612rOr.00136'0-0-0-6.612
                             SURFACE AREASr MILLION  SO.  M
  0-0 - Or ft .
  0'Or 0 -Oi
  11641- - -
          612-/
          6.612-/
          65./ DISTANCES
BETUFFN COMPARTMENTS' M
 Table 5,  DATA file for input to TOXIC

-------
11641' 1

,65r/

1 1 f 1 . 5
1 /
1 lr lr 1

1 If If .
/ AQ Y
/ AM
/ OXK
/ F. 0 2
/ BXB
/ AKA
/ ANN
/ FH
, 000325
/ GRM
/ YLD
/ HNS
/ XMB

0 r 0 r 0 r 0
Or Of Or 0
n X ' ft X
0-OrO- •
1 'lr 1 - 1
/ PKBF
/ AKAF
/ AKNF
/ FHF
/ PRMF
/ YLDF
/ HK5F
/ XHBF
BOTTOM
rll641.lrl.5r/





r 1-15-/
,1,1 IS./
'i.f4'J.*J'/ ••
305. 2 . 2r 1 r . 305f . 305
PHOTOSYNTHESIS
QUANTUM YIELD
OXIDATIONrDISSOLVED PHASE

BASE CATALYSED HYDROLYSIS
ACID CATALYSED HYDROLYSIS
NEUTRAL CATALYSED HYDROLYSIS

r - 000325 r . 000325 r .000325- - 000325 r . 000325 r Or , 000325 r ,000325




r/ 1 IS ABOVE 4
fir/ 2 IS ABOVE 5
rOrlr/ 3 IS ABOVE 6
'5\'5\'/\n i
0052- . - - .0052- .0052
r lr lr lr lr 1










-------
    SAMPLE OUTPUTS
TWOCOMP
TWOCOMP1
PESTY2 - 2 compartment
TOXIC - 9 compartment
TOXIC - 25 compartment
           134

-------
CO
en
          ENTER ENDING  TIME FOR SIMULA:ION (DAYS)
          3600

          ENTER INFLOW  SOLIDS CONC  (KG/L)
          .00014

          ENTER KS  (I/DAY)
          .4

          ENTER E (M**2/DAY)
          .0001
TIME
DAYS
0.
600.
1200.
1800.
2400.
3000.
3600.
M IN WATER
KG/L
O.SOOOE-04
0.4440E-04
0.4660E-04
0.4874E-04
O.S084E-04
0.5289E-04
0.5489E-04
M IN SEDIMENT
KG/L
o.
0.
0.
0.
0.
o.
0-
3000E
3327E
3646E
3958E
4262E
45:.9E
4B50E
00
00
00
00
00
00
00
TO
0,
0.
0-
0.
0.
0-
o.
FLUX
SEDIMENT
KG/DAY
9250E
8213E
8620E
9017E
9405E
9785E
1016E
06
06
06
06
06
06
07
FLUX
FROM SEDIMENT
KG/DAY
0.
0.
o.
0.
0.
0.
0.
4518E
5010E
5491E
5960E
6418E
6866E
7304E
06
06
06
06
06
06
06
NET H-UX
TO SEDIMENT
KG/PAY
0.
0.
0.
0.
0.
0.
0.
4732E 06
3203E 06
3129E 06
305'/t 06
2987E 06
2918E 06
2851E 06
            Table 6,  TWOCOMP output for hypothetical solids balance in Coralville Reservoir

-------
    OK? r
    ENTER ENDING TIME FOR SIMULATION  (DAYS)
    3600
    ENTER INFLOW SOLIDS CONC  (KC/L)
    .00044
    ENTER KS (I/DAY)
    .4
    ENTER E 
-------
OKr O twort/lt 1  |
OK- sea #to.].



 INPUT DATA FOR        IN
 NUMBER OF COMF ARTMENTS=     2
 STEP SIZE FOR CALCULATIONS=       '-00  DAYS
 TIME BETWEEN OUTPUT FOINTS=     6' 0.00  DAYS
 TIME FOR SIMULATION        =    36CO-00  DAYS


COMPARTMENT     VOLUME , MILL ION  CU-M      INFLOW'  MILLION CU.M     OUTFLOW- MILLION CU.M

     1                 46.2840                  3-3519                 3.3r-19

     2                 5.9520                  0.0000                 0.0000

                    INTERFLOW MATRIX  FOR COMPARTMENTS
  0.0000  0.0000
  0,0000  0.
QUIT-
OK f c > lose
QUIT-
0 K 1 L 1 9 6 C it II
OKr 01 tuoddt 1  1
OK'
DO YOU WANT INTERMEDIATE  OUTPUT  < 1= YES ) » < 2=NO>
 INPUT DATA FOR DIELDRIN
 NUMBER OF COMFARTMENTS=     2
 STEP SIZE FOR CALCULATIONS=       1-00  DAYS
 TIME BETWEEN OUTPUT FOINTS=     600-00  DAYS
 TIME FOR SIMULATION        =    3^00.00  DAYS


COMPARTMENT     VOLUME,MILLION  CU.M      INFLOW.  MILLION CU,M     OUTFLOWr MILLION CU.M

     1                 46.2840                  3.3519                 3.3519

     2                  5.9520                  0.0000                 0-0000

                    INTERFLOW  MATRIX FOR COMPARTMENTS
  0.0000  0.0000
  0.0000  0,0000
    Table 8,  Sample output for PESTY2 or two  - compartment TOXIC

-------
       COMPARTMENT     INITIAL          MASS OF          PARTITION        FRALIION  IN
                   CONCENTRATION    SUSPENDED SOLIDS    COEFFICIENT     DISSOLVED PHASE
            1          0,0250          0-600E-03           1000.           0.625
            2          2.2500          0.321E 01           1000.           0.000

                              DISPERSION COEFFICIENTS

         O.OE 00 0.1E-03 0.1E-03 O.OFJ 00

                                INTERFACE AREALi

          0.000  19.836  19,836   0.000

                           MEAN LENGTH BETWEEN COMPARTMENTS

        0.100E 010.132E 010.132E 010.100E 01

                            SETTLING RATE CONSTANTS

           0.40   0.00


                           COMPARTMENT POSITION MATRIX
£                       0100
CO

                  FSEUDO-FIRST-ORDER RATE CONSTANTS (PER PAY)
                            IN THE DISSOLVED PHASE


          CMFN  PHOTOLYSIS  OXIDATION  HYDROLYSIS   BIOLYSIS  VOLATILIZATION
            1   0.0000000   0.0000000   0.0000000   0,0000000   0.0003250
            2   0.0000000   0.0000000   0.0000000   0,0000000   0-0003250


                  FSEUDO-FIRST-ORL'ER RATE CONSTANTS (PER PAY)
                           IN THE FARTICULATE PHASE.


                    CMFN  OXIDATION  HYDROLYSIS   BIOLYSIS
                      1   0.0000000   0.0000000   0,0000000
                      2   0.0052000   0.0000000   0-0000000


                        SIMULATION HALTED AT TIME =  3600-0
         Table 8. (continued)

-------
                  TOTAL  CONCENTRATION  OF  PESTICIDE  OVER TIME (FFB)

         TIME(PAYS)                COMPARTMENT  NUMBER

                       1
o.
600.
1200.
1800.
2400-
3000-
3600-
0
0
0
0
0
0
0
0.
0.
0.
0.
0-
0.
0.
0250
0131
0100
0076
0058
0044
0034
T
—>
*>
1
1
1
0
2500
9135
2720
7364
3256
0119
7725
                  DISSOLVED  CONCENTRATION  OF PESTICIDE OVER TIME
                                                  (FFB)
         TIME(PAYS)
              COMPARTMENT NUMBER
   0.0
 600.0
1200.0
1800.0
2400-0
3000.0
3600.0
0.0156
0.0082
0.0062
0.0048
0.0036
0.0028
0.0021
                           0.0007
                           0.0009
                           0.0007
                           0-0005
                           0.0004
                           0.0003
                           0.0002
00
ID
                  PARTICULATE  CONCENTRATION OF PESTICIDE OVER TIME
                                                  (FFB)
         TIME(PAYS)
              COMPARTMENT NUHBER

0
600
1200
1800
2400
3000
3600

,0
.0
.0
.0
.0
.0
.0

0,
0.
0.
0,
0.
0.
0.
1
0094
0049
0037
0029
0022
0017
0013

2
2
2
1
1
1
0
-)
2493
9126
2713
7358
3252
0116
7722
                  MASS  OF  PESTICIDE C'N TIIF  MASS OF SOLIDS  (MICROGRAM PER MLOGKAM)
         riME(DAYS)
              COMPARTMENT NUMBER

0-0
600.0
1200.0
1800.0
2400.0
3000-0
3600.0
1
15-63
8. IB
6.25
4.77
3.64
2-78
2, 12
2
0 • 70
0.91
0.71
0.54
0.41
0.32
0.24
              label 8.  (con't)

-------
 INPUT DATA FOR        IN
 NUMBER OF COMPARTMENTS^     9
 r.TETF SIZE FOR CALCULATIONS-
 TIME BETWEEN OUTPUT FOINTS=
 TIME FOR SIMULATION
                  1 .00 DAYS
                600.00 PAYS
               7200.00 PAYS
COMPARTMENT
     1
     ->
     3
     4
     5
     6
     7
     8
     9
VOLUME'MILLION CU.M
       6.6120
       6.6120
       6.6120
       2,0150
      13.2240
      13.2240
       1,0000
       2,0150
       2.0150
INFLOWr MILLION CU.M
      3.3519
      0,0000
      0.0000
      0,0000
      0.0000
      0.0000
      0-0000
      0-0000
      0,0000
OUTFLOW. MILLION CU-M
    0.0000
    0.0000
    0.0000
    0.0000
    0.0000
    3.3519
    0.0000
    0.0000
    0.0000
INTERFLOW MATRIX FOR COMPARTMENTS
0
0
0
0
0
0
0
0
0
.0000
,0000
.0000
,0000
.0000
.0000
.0000
.0000
.0000
3-3519 0.0000
0.0000 1.6759
0.0000 0.0000
0.0000 0.0000
0.0000 0.0000
0,0000 0.0000
o.oooo o.oooo
o.oooo o.oooo
0.0000 0.0000
0
0
0
0
0
0
0
0
0
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.0000
COMPARTMENT INITIAL











1

3
.)
5
6
7
8
9
CONCENTRATION
0,0250
0,0250
0,0250
2.2500
0.0250
0.0250
0.0000
2.2500
2.2500










SUSP
0
0
0
0
0
0
0
0
V.1
o.oooo
1.6759
0.0000
0.0000
0-0000
0,0000
0,0000
0.0000
c.oooo
MnSS OF
0.
0.
1 .
0-
1 .
o.
0-
o.
0-
0000
0000
6759
0000
6759
0000
0000
0000
0000
0,0000
o.oooo
0,0000
0.0000
o.oooo
0.0000
o.oooo
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
PARTITION
ENDED SOLID
.226E-03
- 126E-03
.49011-04
-360E 00
- 150E-03
.960F-04
•500E-04
.577E 00
. 424E 00









S









COEFFICIENT
6700,
6700,
6700,
6700,
6700.
6700-
6700.
6700.
6700,









o.oooo
0.0000
o.oooo
0.0000
o.oooo
0.0000
0.0000
o.oooo
0.0000
FRACTION
DISSOLVED
0,398
0,542
0,753
0.000
0.499
0.609
0.749
0.000
0.000









IN
PHASE









  Table 9.  Sample Output for the 9 - compartment TOXIC model

-------
                      DISPERSION COEFFICIENTS
 O.OE 00 0.1E 01 O.OE 00 0-1E-03 O.Oil 00 O.OE 00 O.OE 00 O.OE 00 O.OE 00
 0.1E 01 O.OE 00 0.1E 01 0.1E-02 0. CF 00 0. OE 00 O.OE 00 0. OE 00 0. OE 00
 O.OE 00 0.1E 01 O.OE 00 O.OE 00 O.OE. 00 0.1E-02 O.OE'OO O.OE 00 O.OE 00
 0.1E-03 O.OE 00 O.OE 00 O.OE CO O.OE 00 0-OE 00 O.OE 00 0-OE 00 O.OE 00
 O.OE 00 0.1E-02 O.OE 00 O.OE 00 O.OE 00 0-1E 01. O.OE 00 0.1E-03 0 - OE 00
 O.OE 00 O.OE 00 0.1E-02 0-OE 00 0.1E 01 0-OE 00 O.OE OQ O.OE 00 0-1E-03
 O.OE 00 O.OE 00 O.OE 00 O.OE 00 O.OE 00 O.OE 00 O.OE 00 0,OE 00 O.OE 00
 O.OE 00 O.OE 00 O.OE 00 O.OE 00 0.1E-03 O.OE 00 O.OE 00 O.OE 00 O.OE 00
 O.OE 00 O.OE 00 O.OE 00 O.OE 00 O.OE 00 0.1E-03 O.OE 00 O.OE 00 O.OE 00
                        INTERFACE AREAS
  0.000   0.001   0.000   6.»i:   0.000   0.000   0.000   0.000   0.000
  0.001   0.000   0.001   0.000   6.612   0-000   0.000   0.000   0-000
  0.000   0.001   0.000   0.000   0.000   6.612   0-000   0.000   0.000
  6.612   0.000   0-000   0.000   0.000   0.000   0.000   0.000   0.000
  0.000   6.612   0.000   0-000   0-000   0.001   0.000   6.612   0,000
  0.000   0,000   6.612   0-000   0-001   0-000   0-000   0.000   6.612
  0,000   0.000   0.000   0-000   0.000   0.000   0.000   0.000   0.000
  0.000   0-000   0.000   0-000   6-612   0.000   0.000   0.000   0.000
  0-000   0.000   0.000   0.000   0-000   6.612   0,000   0,000   0,000
                   MEAN LENGTH tETUFEN COMPARTMENTS
0.100E 010.116E 050.100E 010,»OOE 000.100E 010.100E 010.100E 010.100E 010.100E 01
0.116E 000.100E 010.116E 050-100? 010.150E 010.100E 010.100E 010.100E 010.100E 01
0.100E 010.568E 030-100E 010.100E 010-100E 010-150E 010-100E 010.100E 010.100E 01
0.6SOE 000.100E 010.100E 010-100E 010-100E 010.100E 010.100E 010-100E 010-100E 01
0.100E 010.150E 010.100E 010.K-OE 010.100E 010.10QE 010-100E 010-115E 010.100E 01

-------
0.100E 010.100E 010.150E OlO.iOOE 010.11»E 050-100E 010-100E 010.100E 010-115E 01
0.100E OlO.iOOE OlO.iOOE OlO.iOOE OlO.iOOE OlO.iOOE OlO.iOOE 010-100E OlO.iOOE 01
0.100E OlO.iOOE 010-100E 010-100E 010-115E 010-100E OlO.iOOE OlO.iOOE OlO.iOOE 01
0.100E OlO.iOOE OlO.iOOE OlO.iOOE OlO.iOOE 010-115E OlO.iOOE OlO.iOOE OlO.iOOE 01
                    SETTLING Ri-vrE CONSTANTS
   0.60   0.60   0.60   0,00   0.60   0.60   0.00   0.00   0,00

                   COMPARTMENT fOSITION MATRIX
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
          FSEUPO-FIRST-ORDER RATE CONSTANTS (PER DAY)
                    IN THE DISSOLVED PHASE
CMFN
1
~>
3
4
5
6
7
8
9
PHOTOLYSIS
0.0000000
0.0000000
0.0000000
0.0000000
0.0000000
0,0000000
0,0000000
0,0000000
o.ooooooo
OXIDATION
0.0000000
0.0000000
o.ooooooo
0.0000000
o.ooooooo
0-0000000
0.0000000
0.0000000
0,0000000
HYDROLYSIS
o.ooooooo
0-0000000
o.ooooooo
0-0000000
0.0000000
0-0000000
o.ooooooo
o.ooooooo
0.0000000
BIOLYSIS
0.0000000
0.0000000
0.0000000
o.ooooooo
o.ooooooo
o.ooooooo
o.ooooooo
0.0000000
0.0000000
VOLATILIZATION
0,0003250
0. 0003250
0,0003250
0-0003250
0.0003250
0.0003250
0,0000000
0.0003250
0.0003250
          fSEUPO-F-IRGT-ORDElR F M I £ CONSTANTS (PER DAY)
                   IN THE FAKFICULATE PHASE

-------
CMFN
1
3
4
A
8
9
OXIDATION
o.ooooooo
0.0000000
o.ooooooo
0.0052000
o.ooooooo
o.ooooooo
0.0000000
0.0052000
0.0052000
HYDROl YSIS
0.0000000
0 0000000
0.0000000
('.0000000
.'.0000000
o-ocooooo
0-0000000
o.ooooooo
0-0000000
BIOLYSIS
o.ooooooo
o.ooooooo
o.ooooooo
o.ooooooo
0.0000000
o.ooooooo
o.ooooooo
0-0000000
o.ooooooo
                    Rl  = FLUX DUE TO INFLOW FROM OTHER COMPARTMENTS

                    R2  = FLUX DUE TO OUTFLOW TO  OTHER COMPARTMENTS

                    R3  = FLUX DUE TO REACTION

                    R4  = FLUX DUE TO DISPERSION (NET INFLOW)

                    R5  = FLUX DUE 10 SETTLING FROM ABOVE

                    EXT => FLUX DUE FLOWS TO OR FROM OUTSIDE THE SYSTEM

                    FNET= NET FLUX TO EACH COMPARTMENT


                    ALL UNIFS IN KG/DA?
                              I 1ME =
600.0
CMFN     Rl
  1   0.OOOOOOE 00
  2   0.791232E-01
  3   0.256707E-01
  4   0.OOOOOOE 00
  5   0.254707E-01
  6   0.330116E-01
  7   0.OOOOOOE 00
  8   0.OOOOOOE 00
  9   0,OOOOOOE 00
ooooooooo
R2
791232E-
513415E-
161941E-
OOOOOOE
168175E.-
OOOOOOE
OOOOOOE
OOOOOOE
oooooc-t
01
01
01
00
01
00
00
00
00
ooooooooo
R3
564203E-01
278341E-01
949010E-02
518014E-01
399301E-01
213023E-01
OOOOOOE 00
38841»E-01
211412E-01
0.
0.
0.'
0.
R4
751043E-02
128968E-09
123785E-04
751043E-02
320812E-02
174716E-02
OOOOOOE 00
318916E-02
173478E-02
ooooooooo
R5
OOOOOOE 00
OOOOOOE 00
OOOOOOE 00
564001E-01
778162E-01
947447E-02
OOOOOOE 00
399086E-01
212844E-01

-------
T111E-   1200.0
LMFN
1
>
3
A
5
6
7
8
9

CMF-N
1
->
3
4
S
6
7
B
9

LMFN
1

3
4
IT
A
7
0
9
Rl
O.OOOOOOE 00
0.604994E-01
0. 196286E-01
O.OOOOOOE 00
0. 196286E-01
0.25?<4S7E-01
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

Rl
O.OOOOOOE oo
0.461874E-01
0.149852E-01
O.OOOOOOE oo
0. 149352E-01
0. 192898E-01
O.OOOOOOE 00
O.OOOOOOE oo
O.OOOOOOE oo

Rl
O.OOOOOOE 00
0.3S2D86E-01
0, 114394E-01
O.OOOOOOE 00
0. 114394E-01
0.1472D6E-01
O.OOOOOOE 00
O.OOOOOOF 00
O.OOOOOOE 00
R2
0.604994E-01
0.392573E-01
0.123828E-01
O.OOOOOOE 00
0. 128829E-01
O.OOOOOOE 00
o.ooooooi: oo
O.OOOOOOE oo
O.OOOOOOE oo
TIME =
R2
0.461874E-01
0.299704E-01
0-945349E-02
O.OOOOOOE 00
0.98363^E- 02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE oo
O.OOOOOOE oo
1IME =
R2
0.352C-86E-01
0.228788E-01
0.721662E-02
O.OOOOOOF OC
0.750894L 02
O.OOOOOOF 00
O.OOOOOOE oo
O.OOOOOOF 00
0.00000ft 00
R3
0.431403E-01
0.212828E-01
0.725659E-02
0.406939E-01
0.30&880E-01
0. 163079E-01
O.OOOOOOE 00
0.306493E-01
0. 163524E-01
1800,0
R3
0.329348E-01
0.162480E-01
0.553995E-02
0-311040E-01
0.233&46E-01
0. 124510E-01
O.OOOOOOE 00
0.234435E-01
0. 124958E-01
2400.0
R3
0.2^1418E-01
0- 124030E-01
0.422909E-02
0.237454E-01
0- 178286E-01
0-950495E-02
O.OOOOOOE 00
0. 178980E-01
0.95397L/E-02
R4
0.590076E-02
0.986114E-10
-.943812E-05
-.590076E-02
0.2S3113E-02
0.135132E-02
O.OOOOOOE 00
-.251670E-02
-.134187E-02

R4
0.451022E-02
0.752837E-10
-.720397E-05
-,451022E~02
0. 193»03E-02
0-103261E-02
O.OOOOOOE 00
--192502E-02
-. 102540E-02

R4
0.344319E-02
0-S74701E-10
-.S49930E-05
-.344319E-02
0. 147810E-02
0.788332E-03
O.OOOOOOE 00
-. 146970E-02
-.782830E-03
R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0.431248E-01
0.212692E-01
0.724464E-02
O.OOOOOOE 00
0.305715E-01
0.162942E-01

R5
O.OOOOOOE 00
O.OOOOOOE oo
O.OOOOOOE 00
0.329230E-01
0. 162376E-01
0.^53082E-02
O.OOOOOOE 00
0.233420E-01
0. 124406E-01

RS
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0.251328E-01
0. 12395^>E-01
0.422213E-02
O.OOOOOOE 00
0.178190E-01
0.94969iE-02

-------
1IME=   3000-0
CMFN
1
^
3
4
5
A
7
g
9

CMFN
1
~»
3
4
5
A
7
8
9

LMFN
1
™T
3
4
5
6
7
8
9
Rl
O.OOOOOOE 00
0.269157E-01
0.873262E-02
O.OOOOOOE 00
0.873262E-02
0. 112412E-01
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

Rl
O.OOOOOOE 00
0.20S469E-01
0.666630E-02
O.OOOOOOE 00
0.666630E-02
0.858130E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

M
O.OOOOOOE 00
0.156851E-01
0.503892E-02
O.OOOOOOE 00
0.508S92E-02
0.655078E-02
O.OOOOOOE. 00
O.OOOOOOE 00
O.OOOOOOE 00
R2
0.26915"7E 01
0.174652E-01
0.55090111-02
O.OOOOOOE 00
0.573217E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
TIME =
R2
0.205469E-01
0. 133326E-01
0.420547E-02
O.OOOOOOE 00
0.437582E 02
O.OOOOOOE: oo
O.OOOOOOE 00
O.OOOOOOE oo
O.OOOOOOE 00
TIME =
R2
0. 156851E-01
0.101778F 01
0.321037E-02
O.OOOOOOE 00
0.334041L 02
0-OOOOOOF 00
o.ooooooi: oo
o.oooooor oo
o.ooor-O'.ic oo
F3
0. 191927E-01
0.94A855E-02
0.327840E-02
0. 181269E-01
0. 136100E-01
0.725589E-02
O.OOOOOOE 00
0.136634E-01
0.728248E-02
3600.0
R3
0. 14A513E-01
0.722810E-02
0.246450E-02
0-138377E-01
0, 103896E-01
0.553900E-02
O.OOOOOOE 00
0. 104303E-01
0.555926E-02
4200.0
R3
0. 111845E-01
0-551778E-02
0. 188135E-02
0- 105633E-01
0. 793120E-02
0-422836E-02
O.OOOOOOE 00
0-79i234E-02
0. 4243S6E-02
R4
0.262848E-02
0-438715E-10
--419805E-05
-.262848E-02
0.11283AE-02
0- A01799E-03
O.OOOOOOE 00
-.112194E-02
-.597599E-03

R4
0.200652E-02
0.334907E-10
--320471E-05
-.200652E-02
0.861363E-03
0.459398E-03
O.OOOOOOE 00
-.8564AAE-03
-.45A192E-03

R4
0, 153173E-02
0.255660E-10
-.244641E-05
- .153173E-02
0.657551E-03
0-350698E-03
O.OOOOOOE 00
-. A53813E-03
- .348250E-03
R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0. 1918S9E-01
0.946248E-02
0.322309E-02
O.OOOOOOE 00
0-136027E-01
0.724979E-02

R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0. 146461E-01
0.722346E-02
0.246044E-02
O.OOOOOOE 00
0.103840t-01
0.553434E-02

R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0.111805E-01
0.551424E-02
0. 187825E-02
O.OOOOOOE 00
0.7C2693E-02
0-422480E-02

-------
1IME>  4800-0
CMPN
1
">
3
4
5
6
7
8
9

CMFN
1
™»
3
4
5
6
7
8
9

CMFN
1
2
4
5
6
7
3
9
F<1
O.OOOOOOE 00
0.119737E-01
0.388478E-02
O.OOOOOOE 00
0.388478E-02
O.S00073E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

Rl
O.OOOOOOE 00
0.914044E-02
0.296556E-02
O.OOOOOOE 00
0.29655&E-02
0.381746E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

Rl
O.OOOOOOE 00
0.697763E-02
0.226385E-02
O.OOOOOOE 00
0.22638SE-02
0.291417E-02
O.OOOOOOC 00
O.OOOOOOE 00
O.OOOOOOE oo
R2
0.119757E-01
0.7769f'C-E-02
0.24C*C~'-3
0.8C.380&E-02
0.421216E-02
0. 143618E-02
0.806388E-02
0.60^4D1E-02
0.322784E-02
O.OOOOOOE 00
0.607824E-02
0.323967E-02
5400.0
R3
0.6S1777E-02
0.321548E-02
0. 109635E-02
0-615579E-02
0.462189E-02
0.246407E-02
O.OOOOOOE 00
0.4A4003E-02
0.247309E-02
6000-0
R3
0.497S53E-02
0-245463E-02
0.83»932E-03
0-4£9921E-02
0.352826E-02
0.18B102F-02
O.OOOOOOE 00
0.3C.4210E-0?

-------
             TIME=  6600.0
CMFN
1
O
3
4
5
6
7
8
9

CMFN
1
''y
3
4
5
6
7
B
9
Rl
O.OOOOOOE 00
0.^32658E-02
0. 172817E-02
O.OOOOOOE 00
0.172817E-02
0.22:'462E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00

Rl
O.OOOOOOE 00
0.406620E-02
0.131925E-02
O.OOOOOOE 00
0. 131925E-02
0. 169823E-02
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
RL'
0.5326S8E-02
0-34563TE-02
0. 109023E-02
O.OOOOOOE 00
0. 11343VE-02
O.OOOOOOE: oo
O.OOOOOOE. 00
O.OOOOOOF 00
O.OOOOOOE: oo
TIME =
R2
0.406620E-02
0.263850F-02
0.832257E-03
O.OOOOOOE 00
0.865969E-03
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
R3
0.379822E-02
0.187381E-02
0.638897E-03
0-358728E-02
0.2693-10E-02
0- 143593E-02
O.OOOOOOE 00
0.270395E-02
0. 144119E-02
7200.0
R3
0.289948E-02
0. 143043E-02
0.487720E-03
0.273844E-02
0.205609E-02
0. 109616E-02
O.OOOOOOE 00
0.206416E-02
0.110018E-02
R4
0.520171E-03
0.868212E-11
-.830790E-06
- .520171E-03
0.223300E-03
0.119095E-03
O.OOOOOOE 00
-.222030E-03
-.118264E-03

R4
0.397086E-03
0.662773E-11
-.634207E-06
-.39708&E-03
0. 170464E-03
0-909150E-04
O.OOOOOOE 00
-.16949&E-03
-.902805E-04
R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0.379686E-02
0.187261E-02
0.637844E-03
O.OOOOOOE 00
0.269195E-0?
0.143472E-02

R5
O.OOOOOOE 00
O.OOOOOOE 00
O.OOOOOOE 00
0.289844E-02
0. 142951E-02
0-486917E-03
O.OOOOOOE 00
0.20S498E-02
0.109524E-02
SIMULATION HALTED AT TIME =•  7200.0

-------
         TOTAL CONCENTRATION OF PESTICIDE OVER FIME 
A'.
3.
•>
l'.
1 -
1.
0.
0-
0-
o.
0.
\
2500
9457
8853
9697
7671
7307
3212
0085
7699
5877
4487
3425
2615
5
0-0250
0.0100
0.0077
0.0059
0.0045
0.0034
0-0026
0.0020
0-0015
0.0012
0.0009
0-0007
0-0005
6
0-0250
0.0069
0.0052
0.0040
0.0031
0.0023
0-0018
0.0014
0.0010
0,0008
0,0006
0.0005
0.0004
o.
0.
o.
0.
o.
o.
0-
0.
o.
o.
0.
o.
o.
7
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
0000
8
2.2500
3.7079
2.9258
2.2379
1.7086
1.3043
0.9957
0.7601
0.5802
0.4429
0.3381
0.2581
0.1970
9
2.2500
2.0183
1.5612
1.1930
0.9108
0.6953
0.5307
0.4052
0.3093
0,2361
0,1802
0,1376
0.1050
         DISSOLVED CONCENTRATION OF PESTICIDE OVER TIME
                                   (PFB)
TIME(DAYS)
COMPARTMENT NUMBER

0.0
600,0
1200.0
1800.0
2400.0
3000.0
3600-0
4200.0
4E500.0
5400,0
6000,0
6600, 0
/L'OO.O
1
0,0099
0.0094
0-0072
0.0055
0.0042
0-0032
0.0024
0-0019
0.0014
0.0011
0.0008
0.0006
0.0005
*>
0.0136
0.0083
0.0064
0,0048
0,0037
0.0028
0,0022
0.0016
0.0013
0.0010
0.0007
0.0006
0-0004

0
0
0
0
0
0
0
0
0
0
0
0
0
-J
-0188
.0073
.0056
.0042
,0032
,0025
,0019
,0014
-00 11
. 0005
.0006
.0005
.0004
4
0-0009
0-0020
0-0016
0.0012
0.0009
0.0007
0-0005
0.0004
0-C>003
0-0002
0.0002
0-0001
o-ooot

0
0
0
0
0
0
0
0
0
0
0
0
0
5
0125
0050
0038
0029
0022
0017
0013
0010
0008
0006
0004
0003
0003
6
0.0152
0.0042
0.0032
0.0024
0.0019
0-0014
0-0011
0.0008
0.0006
0.0005
0.0004
0.0003
0.0002
7
0.0000
0.0000
o.oooo
0-0000
o.oooo
o.oooo
o.oooo
o.oooo
o.oooo
0.0000
o.oooo
o.oooo
0-0000
8
0.0006
0,0010
0,0008
0,0006
0,0004
0-0003
0.0003
0.0002
0-0002
0.0001
0.0001
0.0001
0.0001
9
0.0008
0.0007
0.0005
0.0004
0.0003
0.0002
0.0002
0.0001
0.0001
0.0001
0,0001
0-0000
o.oooo

-------
          PARTICULATE CONCENTRATION'  OF PESTICIDE OVER TIME

 TIME(DAYS)                COMFARIh-NT NUMBER
           (FFB)

0.
600.
1200.
1800.
2400-
3000.
J600-
4200.
4800.
5400.
6000.
6600.
7200.

0
0
0
0
0
0
0
0
0
0
0
0
0
1
0, 0151
0,0142
0-0109
0.0083
0-0063
0.0048
0-0037
0,0028
0.0022
0,0016
0,0013
0,0010
0.0007
MASS OF
*>
0,0114
0,0070
0,0054
0,0041
0,0031
0.0024
0.0018
0.0014
0.0011
0.0008
0,0006
0,0005
0,0004

0.
0,
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
0.
PESTICIDE
TIME(DAYS)
0,0
600,0
1200.0
1800.0
2400,0
3000,0
3600.0
4200.0
4800.0
5400,0
6000,0
6600,0
7200,0













66.62
62.91
48. 10
36-72
28.03
21 .40
16.34
12.47
9.52
7.27
5-55
4.14
3,23
90,83
55.64
42,55
32-48
24-80
18-93
14-45
11-03
8.42
6,43
4,91
3,75
2,86
3
006? ?
0024 4
0018 3
0014 2
0011 2
0008 1
0006 1
0005 1
0004 0
0003 0
0002 0
0002 0
0001 0
ON THE
4
-2491 0-
.9437 0-
-8836 0.
.9684 0-
-2662 0.
.7299 0.
.3206 0.
-0081 0.
.7696 0.
-5875 0-
-4485 0-
.3424 0.
.2613 0-
MASS OF
5
0125
0050
0039
0029
0022
0017
0013
0010
0008
0006
0004
0003
0003
6
0.0098 0
0.0027 0
0.0021 0
0.0016 0
0.0012 0
0.0009 0
0-0007 0
0-0005 0
0-0004 0
0-0003 0
0-0002 0
0-0002 0
0,0001 0
7
.0000
.0000
.0000
.0000
.0000
.0000
.0000-
.0000
.0000
.0000
.0000
.0000
,0000
SOLIDS CMICROGRAH
8
2,2494
3,7069
2,9251
2,2374
i-7082
1.3040
0-9954
0.7599
0.5801
0.4428
0-3380
0.2581
0.1970
9
2.2492
2.0176
1.5606
1.1926
0.9104
0.6950
0.5306
0.4050
0.3092
0.2360
0.1802
0-1375
0,1050
PER K-ILOGRAM)
COMPARTMENT NUMBER
1












2o. 10
48-74
37,27
28-45
21. 72
16.58
12-66
9.66
7-38
5. A3
4.30
3.28
2-50
6-25
13-73
10.79
8-25
6-29
4.81
3.67
2-80
2,14
1 -63
1.25.
0.95
0.73
83
33
25
19
14
11
8
6
5
3
^
~*
1
,54 101,
,53 27,
,69 21,
.61 16.
.97 12,
,43 9,
,73 7,
-66 5-
,08 4,
,88 3.
,96 2.
.26 1,
,73 1,
94
94
39
33
47
52
27
55
23
23
47
88
44
0.00
0.00
0.00
0-00
o.oo
0.00
0.00
0.00
0.00
0-00
0-00
0-00
0-00
3.90
6.42
5.07
3.88
2.96
2.26
1.73
1.32
1,01
0,77
0,59
0-45
0-34
f)Kr B(J
Al.O.it:? (27) LOGGEn OUT  f>1   16"?5 M16B1
CONNECT^   24 MINUTES-  CPU=   2r>6 SECONDS. 1/0 =
                                                                               5,30
                                                                               4,76
                                                                               3.68
                                                                               2.81
                                                                               2.15
                                                                               1.64
                                                                               1-25
                                                                               0,96
                                                                               0,73
                                                                               0,56
                                                                               0-42
                                                                               0-3?
                                                                               0,25
3 SECONDS

-------
INRIT DATA' FTJTTTTFUTjri R
NUMBER OF  COMPARTMENTS:
STEP  SIZE  FCR  CALCUL AT
TIME  BEHrUEETK'OTTPUT
TIME  FOR SIMULATION
                       25
                              l.ilC  DAYS
                            6~OO.tiC  5 AYS
                           3600.00  DAYS
COMPARTMENT
1
. ; . • z'
•' . *.;'•-'.
5
6
7
'-..,-' H
' / . 9..- • : /
11
12
' 13 ,
15
16 ,
17
Ifl
19
21
•' 22
\ 11
INITIAL
CO^CN'TRATIOM
0 . 0 2 i> 0
C.0250 ;
C.0250
C . 0 2 1> 0
0.0250
C.025Q
:0.0250
0,0250 ,
0 ,0250
C.0250
Q,02bO
C.0250 \
5.2500 '
Z .2500
2.2500
? .2500
2.2SOO ' .
"2.2500
r . 2 s a Q
I .2500
HAS^ OF
SUSPENDED COLIDS
"0.17HE-02
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0 , 7 'J 0 E - 0 j
0 . 9 7 0 r - C .'
: u. ;'li.
1 , 0 C| 0
1 . 6 0 0
~T."i
-------
.' PSFUE-C-FIRST-O^fH RATE CONSTANTS
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-------
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                                    :: 3^00.0  DAYS
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