EPA-903/9-82-004b
3EPA
United States
Environmental Protection
Agency
Middle Atlantic Region ffl
6th and Walnut Streets
Philadelphia PA 19106
          March 1982
User's Instructions for the
SHORTZ and  LONGZ
Computer Programs

Volume II.—
Appendices A Through I
                             EPA Report Collection
                            Information Resource Center
                              US EPA Region 3
                             Philadelphia, PA 19107

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                                          EPA-903/9-82-004b
                                                March 1982
     USER'S INSTRUCTIONS FOR THE SHORTZ
        AND LONGZ COMPUTER PROGRAMS

                (VOLUME II)
                    by

      Jay R. Bjorklund and James F.  Bowers
         EPA Contract No. 68-02-2547

              Task Order No. 1
               Project Officer

              Alan J. Cimorelli
U.  S.  Environmental Protection Agency, Region III
               Curtis Building
          Sixth and Walnut Streets
       Philadelphia,  Pennsylvania 19106
    H. E. Cramer company, Inc.
      UNIVERSITY OF UTAH RESEARCH PARK
            POST OFFICE BOX 8049
          SALT LAKE CITY, UTAH 84108

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                                DISCLAIMER
This report was furnished to the Environmental Protection Agency by H. E.
Cramer Company, Inc., University of Utah Research Park,  P.  0.  Box 8049,
Salt Lake City, Utah 84108, in fulfillment of Contract No.  68-02-2547, Task
Order No. 1.  The contents of this report are reproduced herein as received
from H. E. Cramer Company, Inc.   The opinions, findings, and conclusions
expressed are those of the authors and not necessarily those of the
Environmental Protection Agency.
                                     ii

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                               TABLE OF CONTENTS


Appendix                             Title                                Page

   A          COMPLETE FORTRAN LISTING OF THE SHORT-TERM MODEL
              (SHORTZ) COMPUTER PROGRAM                                    A-l

   B          COMPLETE FORTRAN LISTING OF THE LONG-TERM MODEL
              (LONGZ) COMPUTER PROGRAM                                     B-l

   C          EXAMPLE EXECUTION OF THE SHORT-TERM MODEL (SHORTZ)
              COMPUTER PROGRAM                                             C-l

              C.I   Introduction                                           C-l
              C.2   Example Concentration Run                              C-l

   D          EXAMPLE EXECUTION OF THE LONG-TERM MODEL (LONGZ)
              COMPUTER PROGRAM                                             D-l

              D.I   Introduction                                           D-l
              D.2   Example Concentration Run                              D-l

   E          CODING FORMS FOR CARD INPUT TO THE SHORT-TERM MODEL
              (SHORTZ) COMPUTER PROGRAM                                    E-l

   F          CODING FORMS FOR CARD INPUT TO THE LONG-TERM MODEL
              (LONGZ) COMPUTER PROGRAM                                     F-l

   G          DEVELOPMENT OF THE SEMI-EMPIRICAL CORRECTION FACTOR
              FOR DOWNWASH EFFECTS ON PLUME RISE                           G-l

   H          DEVELOPMENT AND TESTING OF THE CRAMER,  ET AL. (1975)
              COMPLEX TERRAIN DISPERSION MODELS                            H-l

              H.1   Introduction                                           H-l
              H.2   Model Concepts                                         H-2
              H.3   Model Testing                                          H-4
              H.4   Summary                                                H-22

   I          THE SHORTZ METEOROLOGICAL PREPROCESSOR PROGRAM               1-1

              I.I   Description of the SHORTZ Preprocessor Program METZ    1-1
              1.2   Data Input Description                                 1-3
              1.3   Output Description                                     1-10
              1.4   Control Language and Data Deck Setup                   1-13
              1.5   Program Run Time, Page and Card Output                 1-16
              1.6   Program Diagnostic Messages                            1-19
                                       111

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                         TABLE OF CONTENTS (Continued)


                                   VOLUME I

                              TABLE OF CONTENTS

Section                              Title



                       EXECUTIVE SUMMARY

                       LIST OF TABLES

                       LIST OF FIGURES

   1                   MODEL OVERVIEW

   2                   TECHNICAL DESCRIPTION OF THE SHORTZ AND LONGZ
                       COMPUTER PROGRAMS

   3                   USER'S INSTRUCTIONS FOR THE SHORT-TERM
                       (SHORTZ) MODEL PROGRAM

   4                   USER'S INSTRUCTIONS FOR THE LONG-TERM
                       (LONGZ) MODEL PROGRAM

                       REFERENCES
                                      IV

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                                APPENDIX A
             COMPLETE FORTRAN LISTING OF THE SHORT-TERM MODEL
                         (SHORTZ) COMPUTER PROGRAM
          The enclosed listing of the SHORTZ program is different from the
original made available to the general public in December 1979, due to
coding revisions made to ease the conversion of the program to other than
UNIVAC 1100 series computers.  Comments have been added within the program
listing for those areas that still require modification for other computers.
Also, the several coding errors that have been discovered in the SHORTZ
program since the program was made available to the general public are
corrected in the following listing.

          The differences in logic between the December 1979 and March 1982
versions of SHORTZ are denoted by an arrow (*•) in the margin.  A downward
pointing arrow (^) next to a line indicates that the changes begin at this
line and continue until an upward pointing arrow ( 4) is found,  A horizon-
tal arrow (•*•) pointing to a line indicates a change in that line only.  A
horizontal arrow located between two consecutive lines indicates changes in
both lines or deletions.  Also, it should be noted that the line numbers,
statement numbers and sequence numbers in the December 1979 and March 1982
versions of SHORTZ are different.
                                   A-l

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                   A-78
    

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                                    APPENDIX B
                  COMPLETE FORTRAN LISTING OF THE LONG-TERM MODEL
                             (LONGZ) COMPUTER PROGRAM
              The enclosed listing of the LONGZ program is different from the
    original made available to the general public in December 1979, due to
    coding revisions made to ease the conversion of the program to other than
    UNIVAC 1100 series computers.  Comments have been added within the program
    listing for those areas that still require modification for other computers.
    Also, the several coding errors that have been discovered in the LONGZ
    program since the program was made available to the general public are
    corrected in the following listing.
    
              The differences in logic between the December 1979 and March 1982
    versions of LONGZ are denoted by an arrow (*•) in the margin.  A downward
    pointing arrow (i ) next to a line indicates that the changes begin at this
    line and continue until an upward pointing arrow (4) is found.  A horizon-
    tal arrow (-•>•) pointing to a line indicates a change in that line only.  A
    horizontal arrow located between two consecutive lines indicates changes in
    both lines or deletions.  Also, it should be noted that the line numbers,
    statement numbers and sequence numbers in the December 1979 and March 1982
    versions of LONGZ are different.
                                       B-l
    


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                                    APPENDIX C
                        EXAMPLE EXECUTION OF THE SHORT-TERM
                          MODEL (SHORTZ) COMPUTER PROGRAM
    C.I       INTRODUCTION
    
              The following example problem run uses the short-term (SHORTZ)
    program to model the Logans Ferry air pollution episode described in Section
    2.6.1.  This example run calculates hourly, 3-hour and  24-hour average ground-
    level concentrations using Pittsburgh, Pennsylvania meteorological data for
    4 January 1973.  This appendix assumes the user is familiar with the example
    as discussed in Section 2.6.1 of the main body of the text.  Also, this
    appendix assumes the user is familiar with the User's Instructions for the
    short-term program outlined in Section 3.
    C.2       EXAMPLE CONCENTRATION RUN
    
              This program example run calculates the hourly, 3-hour and 24-
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    three stacks described in Section 2.6.1 and shown in Figure 2-5.  The Ches-
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    The meteorological inputs as well as required control data, run time estimate,
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              C.2.1     Input Data Set-Up Procedure
    
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              a.     Card Group 1 -  Card Group 1 gives the tape use flag KSW
    and the user selected title for the program run.  The flag KSW is not punched
    (blank) because we are not using an input or output tape for this example
    run.  Also, the program interprets blanks as zero, when read in a numeric
    field.  The title shown in Card Group 1 of Figure C-l is printed at the top
    of each output page as shown in Figure C-2.
    
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    units, the input source emission units and the parameters used to define the
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    data are included in the input deck.  ISW(S) directs the program to print
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    for the options ISW(9) through ISW(20).
                                      C-13
    


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                                           C-40
    

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              e.     Card Group 4 -  This card group shows three cards defining
    the  X (east-west) axis of the receptor grid system in UTM coordinates.
    The remaining cards of this group in Figure C-l are omitted from the input
    deck.
              f.     Card Group 4a - This card group shows the UTM X  (east-west)
              j of the SO  monitor located to the east-northeast of
    Power Plant.  Only one data card is used from this card group.
    coordinate of the SO  monitor located to the east-northeast of the West Penn
              g.     Card Group 5 - This card group shows three cards defining
    the Y (north-south) axis of the receptor grid system in UTM coordinates.
    Only three cards from this group are included in the input deck.
    
              h.     Card Group 5a - This card group shows the UTM Y (north-
    south) coordinate of the S0~ monitor site.  Only one card from this group
    is used.
    
              i.     Card Group 5b - This card group shows the elevation in
    meters of each intersection of the X and Y axes of the grid system.  There
    are a total of 45 cards included in this card group.
    
              j.     Card Group 5c - This card group shows one data card with the
    elevation of the SO- monitor site.  The remaining cards shown in this
    group should be ignored.
    
              k.     Card Group 6 - Card Group 6 gives special model and
    control parameters.  The value of TK is not punched because we are using
    the default concentration and source emission units.  The parameters
    UTMX and UTMY default to 0, G defaults to 9.8, ZR defaults to 6.096, while
    GAMMA1, GAMMA2, DECAY and XRY default to .6, .66, 0 and 50, respectively.
    
              1.     Card Group 7 - Card Group 7 defines the number of source
    identification numbers used to define each source combination.  Because
                                      C-41
    

    -------
    NGROUP equals "5", five values are punched in this card group and each value
    punched for this example uses only "1" source to identify the combination
    desired.
    
              m.     Card Group 8 - This card group gives the source identifica-
    tion numbers used to form each combined source output.  The card shows
    Sources 116, 117 and 118 are to be printed individually, 116 and 117 are to
    be combined and 116 through 118 are to be combined.  Only one data card is
    used from this group.
    
              n.     Card Group 9 - Card Group 9 is omitted from the input deck,
    because ISW(12) equals "0".
    
              o.     Card Group 9a - This card group shows the primary source
    input data and consists of three data cards for Card Group 9a.  Alsio, Card
    Group 10 is omitted from the input deck because NS on all cards in Card
    Group 9a is "0".  However, if Card Group 10 is input, each card(s) should
    immediately follow its respective source card (9a) in the input deck.
    
              p.     Card Group 11 -  Card Group 11 shows the 24 hours of meteoro-
    logical data input to the program.  The value for DPDZ for each hour is
    "0" and the value of ALPHA for each hour defaults to "0.9".
    
              q.     Card Group 12 - This card group (not shown in Figure C-l)
    is omitted from the input deck because JFLG on each input source card is
    "0" (blank).
                                      C-42
    

    -------
              C.2.2     Run Time Required Data  Storage  and Page  Output  Estimate
    
    
    
              The run  time and page output  estimate  calculated for  the  short-time
    
    concentration run  are given in the  following  paragraphs.
    
    
    
              a.     Run Time - The run time  estimate is  calculated using
    
    Equation  (3-3) in  Section 3.2.5 and is  approximated by
              Time  (Seconds) =
    |~N  '(NXPNTS-NYPNTS + NXWYPT)-  NHOURS
                                  •NDAYS |  •  3.1 x  10  J +  (I + J +  K)
                          _l_ 1 / I  _t- I  -4-. 1C 1
    
                                                 (C-l)
                                  •(NXPNTS-NYPNTS + NXWYPT)-  NHOURS • NDAYS
    
    
                                  •2.2  x  10~3f
    Substituting values from Figure C-l,
    
    
    
              Time  (Seconds) s  5 fa '(17-15 +  1) •24'll »  3.1 x  10~3 +
    
    
    
                                  [(0 + 0 +8) • (17-15 + 1) •  24-lJ •
    
    
                                         -3  /
                                  2.2 x 10    V                                 (C-2)
    
    
                             £    57.1 + 108.1
    
    
                             s    165.1
    
    
                                                                    O
    The actual run time was 120 seconds.   The values of f (3.1 x  10   ) and g
             _3
    (2.2 x 10  ) are taken from worst case short-term runs and may often over-
    
    estimate the actual run time-
    
    
              fa .     Required Data Storage - The  required data  storage must
    
    be  calculated to determine whether or not  the desired run will fit in  the
    
    SHORTZ program.  The amount of data storage required by a particular run  is
    
    determined by Equation  (3-1)  in Section  3.1.2.  Taking  values from Figure
                                      C- 43
    

    -------
    C-l and substituting in Equation (3-1) we calculate
    
                 12000  >  (17 + 15 + 2-1) + 6 • (17-15 + 1)
    
                       >  1570
    
    We see from the calculated inequality that we are well within the program
    storage limitation.
    
              c.     Page Output - The page output estimate is calculated
    using Equation (3-4) in Section 3.2.5 and is approximated by
    
                             Pages  S A + .B + CI                            (C-3)
    
    where A_ from Equation (3-5) is given by
          A*=   1 +
                     .-]•
                   r24_j_i
                   L  1  -40J
                   f
                   1 +  J2-1
                   5
                               s
    1  +77-1
          .44.
                                                1'l
      ,)
                                                                           CC-4)
    and B^ from Equation  (3-6) is given by
    
          J5  =  (24 + 8 + 1 + 0) • 5
    
                 33-5'3
    
                 495
    *The [  J  symbols indicate to round up to the  next  larger integer if there
     is any fractional part.
                                                                           (C-5)
                                     C-44
    

    -------
    and C_ from Equation (3-6) is given by
    
                                   C = 4
    
    giving a total of
    
                                 Pages  s 504
    
    This estimate assumes the maximum number of output pages possible.  The
    actual number of pages output for this example problem was 339 pages.
    
    
              C.2.3     Example Print Output
    
              Figure C-2 illustrates the printed concentration output for the
    short-term example problem.  The listing begins by printing the input data
    under the heading "-GENERAL INPUT DATA-".  This part of the output listing
    includes all punched data and default values, except source and meteorological
    data.  Next, the source data are listed under the heading "-SOURCE INPUT
    DATA-".  The meteorological data are then printed under the heading
    "-METEOROLOGICAL INPUT DATA-".  The rest of the output listing consists of
    selected concentration tables.  The entire output listing is not shown
    here due to it's size (339 pages).  The page number shown in the upper
    right-hand corner of each page in Figure C-2 gives the position in the
    output listing of the illustrated table.  For example, pages 6 and 7
    (upper right-hand corner) show the hourly ground-level S0~ concentrations due
    to Source 116 at 0100 hours.  Pages 12 and 13 show the average 3-hour ground-
    level S02 concentrations due to Source 116 for the period 0100 to 0300
    hours and pages 70 and 71 show the average 24-hour ground-level S0_ concen-
    trations due to Source 116.
                                      C-45
    

    -------
    (This Page Intentionally Blank)
                 C-46
    

    -------
                                   APPENDIX D
                        EXAMPLE EXECUTION OF THE LONG-TERM
                         MODEL (LONGZ) COMPUTER PROGRAM
    D.I       INTRODUCTION
    
              The following example problem uses the long-term (LONGZ) program
    to model the hypothetical aluminum reduction plant described in Section
    2.6.2.  The example problem calculates seasonal and annual average ground-
    level particulate concentrations.  This appendix assumes the user is
    familiar with the example hypothetical aluminum reduction plant discussed
    in Section 2.6.2 of the main body of the text.
    D.2       EXAMPLE CONCENTRATION RUN
    
              This program example run calculates seasonal and annual
    average ground-level particulate concentrations produced by emissions from
    the hypothetical aluminum reduction plant described in Section 2.6.2 and
    shown in Figure 2-6.  The hypothetical plant is modeled as six sources,
    three stack sources and three building sources.  The meteorological inputs,
    as well as required program control data, run time estimate, and page out-
    put estimate are explained in Sections D.2.1 through D.2.3 below.
    
              D.2.1     Input Data Set-Up Procedure
    
              This example run requires the input data shown in the example
    coding forms in Figure D-l.  An explanation of each card group in Figure
    D-l is given in Sections D.2.1.a through D.2.1.r below.
    
              a.    Card Group 1.   Card Group 1 gives the user selected title
    for the program run.  This title is printed at the top of each output
    page as shown in Figure D-2.
                                        D-l
    

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    -------
              b.   Card Group 2.  Card Group 2 specifies the number of cate-
    gories of meteorological data and the number of sources and receptors in
    the grid system.  The parameter NSOURC is set equal to "6" for the six
    sources used to model the hypothetical aluminum plant.  The parameter
    NGROUP equals "5" because we wish to print the output for five different
    source groupings.  The parameters NXPNTS and NYPNTS are both set equal to
    "19" for the 19-X by 19-Y receptor grid system.   The parameter NXWYPT is
    set to "28" and specifies 28 discrete points that are used in this example.
    The parameter NSEASN is set equal to "4" as we are using seasonal input
    meteorological data.  Also, the number of Pasquill stability categories,
    NSTBLE, is set equal to "5" (E and F combined).   The remaining parameters
    on this card will assume their respective default values (NSORX="0",
    NSPEED="6", NSCTOR="16", NSTOP="999999", LUNT="MICROGRAMS PER CUBIC METER"
    and LKNT="GRAMS/SEC").
    
              c.   Card Group 3.  Card Group 3 selects the program control
    options desired.  This card shows:  ISW(l) and ISW(2) both blank (zero)
    because tape input/output is not being used,  1SW(3) and ISW(4) equal to
    "1" for seasonal and annual concentration tables, ISW(5) equal to "1" to
    print the input control and meteorological data and ISW(6) equal to "1"
    for a print output of the sources.  The remaining options on this card
    are left blank, as well as the tape input/output parameters.
    
              d.   Card Group 4 & 5.  Card Groups 4 and 5 define the source
    combinations for which concentration output is to be produced.  The
    parameter NGROUP on Card Group 2 specifies five  source combinations.   Card
    Group 4 (NSOGRP) gives the number of source ID-numbers the program is to
    use to define each source combination.  The first three output combinations
    have one defining source, the fourth uses two defining sources and the
    fifth uses only one.  Card Group 5 shows the actual source ID-numbers the
    program is to use in each source combination.  The program is to output
    seasonal and annual concentrations for Source 1, Source 2, Source 3,
    Sources 4 through 6 combined and all sources (1-6) combined.
                                        D-28
    

    -------
              e.   Card Groups 6, 6a, 7 and 7a.  Card Groups 6, 6a, 7 and 7a
    define the locations of the receptors of the regular (non-discrete) grid
    system and the discrete points.  Both the regular grid system  (Card Groups
    6 and 7) and the discrete receptors (Card Groups 6a and 7a) are in Cart-
    esian coordinates.  Note that only those cards punched from these groups
    are included in the input deck, not the blank images on the coding forms.
    
              f.   Card Groups 7b and 7c.  Card Groups 7b and 7c are not shown
    in Figure D-l because we are assuming flat terrain (ISW(8) equal to "0").
    Thus, the terrain elevation cards are omitted from the input deck.
    
              g.   Card Group 8.  Card Group 8 is used to specify an optional
    format the program uses to read Card Group 8a.  Because ISW(ll) is left
    blank (zero), this card group is not used by the program and is omitted
    from the input deck.  The program will use the default Fortran format of
    (6F10.0) to read the data shown in Card Group 8a.  This default format
    requires the user to punch the frequency of occurrence data in Card Group
    8a using 10 columns per value including the decimal point (period).  Only
    NSPEED values are read per data card in Card Group 8a.
    
              h.   Card Group 8a.  Card Group 8a gives the joint frequency of
    occurrence of wind speed and direction by stability category and season.
    As the example run is using seasonal data, all four seasons (winter, spring,
    summer, fall) are punched.  Within each season, there are five stability
    categories  (A through E) and within each stability category there are
    sixteen cards, one for each wind direction category clockwise from north to
    north-northwest.  Each data card contains the frequency of occurrence for
    the six wind-speed categories.  Values that are zero have been left blank
    because the LONGZ program interprets blanks as zeros.
    
              i.   Card Group 9.  Card Group 9 gives the seasonal ambient air
    temperatures in degrees Kelvin for stability categories A through E (E and
    F have been combined into E).
                                        D-29
    

    -------
              j.    Card Group 10.   Card Group 10 gives the seasonal median mix-
    ing layer depths in meters.   The mixing layer depths are punched, six
    values per card, for wind-speed categories 1 through 6, and there are five
    cards for stability categories A through E and four groups of these cards,
    one for each  season.  Some values have been left blank in this card group
    in Figure D-l because the joint frequency of occurrence of these wind-speed
    and stability categories is zero (and no calculations will take place).  Note
    also that the decimal point is not punched.  The decimal point can be elimina-
    ted in real variables only when the values are whole numbers and right justi-
    fied in the respective punch columns.  The values of Hm given here are taken
    from Table 2-16 in Section 2.6.2.
    
              k.    Card Group 11.   Card Group 11 gives the vertical potential
    temperature gradients for each wind speed category (across the cards) and
    each stability category.  Values not punched (blank) are assumed zero or
    are not used  because the joint frequency of occurrence of the speed and
    stability category is zero.   These values are taken from Table 2-18 in
    Section 2.6.2.
    
              1.    Card Group 12.   Card Group 12 is left blank and all param-
    eters assume  their respective default values (ROTATE="0", TK="1.0xlO ", HA=
    "0", UTMX="0", UTMY="0", G="9.8", ZR="6.096", GAMMA1=".6", GAMMA2=".66"
    and DECAY="0").
    
              m.    Card Group 13 and 14, Card Groups 13 and 14 give the vertical
    turbulent intensities for the stack and building sources.  These values are
    taken from Table 2-15 in Section 2.6.2.  Note that, because ISW(16) is "0",
    Card Group 14 is omitted from the input deck and all turbulent intensities are
    taken from Card Group 13.
    
              n.    Card Group 15.   Card Group 15 gives the median wind speed
    for each speed category and is left blank so the program will assume the
    default wind  speed category values.
                                        D-30
    

    -------
              o.   Card Group 16.  Card Group 16 gives the wind-profile power
    law exponents by wind speed and stability category.  These values are
    taken from Table 2-19 in Section 2.6.2.
    
              p.   Card Group 17.  Card Group 17 consists of two data cards
    and gives the median value of each wind direction category.  As we wish
    to use the program default values, these cards are left blank.
    
              q.   Card Group 18.  Card Group 18 gives the format of the source
    data in Card Group 18a and is omitted from the input deck because ISW(12)
    equals "0" and we are using the default format for the source data.
    
              r.   Card Groups 18a, 18b and 18c.  Card Groups 18a through 18c
    provide all of the source information.  Figure D-l shows only Card Group
    18a, but Figure F-l (example coding form) shows each of these card groups
    on a separate page.  The coding forms are ordered in the manner shown
    to facilitate key punching.   However, this is not the correct order
    for input to the program.  These data cards must be reordered, when used,
    prior to input to the program.  Card Group 18a in Figure D-l shows Sources
    1 through 6.  The parameter DISP is blank (="0") for each source as this
    run is the initial entry of these sources and there is no input tape.  The
    parameter TYPE1 identifies the type of source ("0"=stack, "l"=building).
    The emissions from each source vary with season only and are shown as Ql(l)
    through Ql(4).  Card Group 18a also gives the location, height, elevation,
    exit temperature, and the volumetric emission rate or source dimensions
    (depending on TYPE1) and the inner radius of the stack (TYPE1="0" only).
    Because the emission rates vary only with season (DISP^"3"),Card Group
    18b is omitted from the input deck.  Also, Card Group 18c is omitted from
    the input deck because the parameter NVS1 for each source is left blank.
    The parameter NVS1 is not punched because the particulate emissions are
    assumed to have negligible gravitational settling velocities and are
    treated as gaseous emissions.
                                        D-31
    

    -------
              D.2.2     Run Time, Required Data Storage and Page Output Esti-
                        mates
              The run time, data storage and page output estimate calculated
    for the example concentration run are given in the following paragraphs.
    
              a.   Run Time.  The run time estimate is calculated using Equa-
    tion (4-2) in Section 4.2.5 and is approximated by
            Time (seconds)  =      ' (NXPNTS-NYPNTS + NXWYPT) -NSEASN«
                               NSTBLE'NSPEEDJ -1.5 x 1Q~3 +   [(I + J + K) •     (D-l)
                               (NXPNTS-NYPNTS + NXWYPT) 'NSEASNj'2.2 x 10" 3|
    Substituting values from Figure D-l,
         Time (seconds)  =  |[6«(19-19 + 28)'4'5'6j 1.5 x 10~3 +
                             [(0 + 0 + 12)- (19' 19 + 28)'4j  -2.2 x 10~3f
                             L                                       '
                                                                               (D-2)
                             s  420.12 + 41.08
                             £  461.2
                                                                   _3
    The actual run time was 130 seconds.  The values of f (1.5 x 10  ) and g
             _3
    (2.2 x 10  ) are taken from worst case long-term runs and may often over
    predict the actual run time.
              b.   Required Data Storage.  The required data storage must be
    calculated to determine whether or not the desired run will fit in the
    LONGZ program.  The amount of data storage required by a particular run
    is determined by Equation (4-1) in Section 4.1.2.
                                           D-32
    

    -------
              Taking values from Figure D-l and substituting in Equation (4-1)
    we calculate
                12000  >_  [l9  + 19  + 2'28] + 6  •  (19'19 + 28)
    
                       >  2428
                                                           (P-3)
              c.    Page Output.   The  page output estimate is calculated using
    equation (4-3) in Section  4.2.5 giving the output pages as
                               Pages   =  A + B + C
                                                           (D-4)
              The value of  A  from Equation  (4-4) is
               A*   -  15.1  +   JT •! +  TT
    + 0«
                      =  16
              The value  of B, obtained from Equation (4-5), is given by
                         B  =  4-5
                 rn-m
                                                28
                                               129
                                                                             (D-5)
    (D-6)
    *The L J symbols  indicate to round up to the next larger integer if  there
     is any fractional  part.
                                        D-33
    

    -------
    (Equation (D-6) continued,)
    
                               =  20*(3vl + 1}
                                                                              (D-6)
                               -  140
    The variable I in Equation (4-5) is set to "5"  because we are printing
    both seasonal and annual tables.  The variable N  is set to "5" because
                                                    c
    NGROUP is input as "5".  The variables N , N  and N   have been set to
                                            x   y      xy
    "19", "19" and "28", respectively, defining the total number of receptor
    points.  The total estimated output pages is then given by
                             Pages  -  16 + 140  + 5
                                                                              (D-7)
                                    -  161
    The actual number of pages output was 87 produced by the example concentra-
    tion run.
    
              D.2.3     Example Print Output.
    
              Figure D-2 illustrates the printed concentration output for the
    example hypothetical aluminum plant.  The listing begins by printing the
    input data under the heading "PROGRAM INPUT CONTROL AND METEOROLOGICAL
    PARAMETERS".  This part of the output listing includes all punched data
    and default values, except source data.  Next, the source data are listed
    under the heading "INPUT SOURCE DATA".  The remainder of the output list-
    ing in Figure D-2 shows the annual ground-level particulate concentrations
    due to selected sources, but does not show the complete output listing.
    The page number of each table in the output listing is shown in the upper
    right hand corner.  For example, pages 28 and 29 (upper right hand cor-
                                        D-34
    

    -------
    ner) show the complete annual output for Source 1.  The heading given is
    "ANNUAL GROUND LEVEL CONCENTRATION (MICROGRAMS PER CUBIC METER) DUE TO
    SOURCE 1".  The particulate concentrations calculated for the receptor
    grid system follow the page heading on page 28 and end at the middle of
    page 29.   The concentrations at the discrete receptors are then printed.
    Other concetration tables illustrated are from pages 70 and 71 of the
    output listing.  These pages show the combined annual particulate con-
    centrations from Sources 4 through 6.  The last table shown is from pages
    84 and 85 of the output listing and shows the annual particulate concentra-
    tions from all (1 through 6) sources.  Selected seasonal tables from this
    example run are shown in Section 4.2.4 of the main body of the text.
                                          D-35
    

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                                    APPENDIX E
                  CODING FORMS FOR CARD INPUT TO THE SHORT-TERM
                         MODEL (SHORTZ) COMPUTER PROGRAM
              This appendix contains blank coding forms for the card input data
    for the short-term (SHORTZ) program.  The card group numbers and input data
    parameter names correspond to those used in Section 3.2.3.a.  The solid
    vertical lines on the coding forms define the column fields for the various
    input parameters and the "x-ed" areas show where data are ignored by the
    program.  With the exception of the source data coding forms (Card Groups
    9a and 10) and Card Groups 11 and lla, the coding forms are presented in
    the same order that the program expects for the input data.  The coding
    forms for Card Groups 9a, 10, 11 and lla are ordered as shown to facilitate
    key punching of the data.  These cards must be rearranged prior to input
    to the program.  If the parameter NS is greater than zero for a given source.
    Card Group 10 must follow Card Group 9a for the sourae.   Additionally3 each
    occurrence of Card Group 11 must be followed by n occurrences of Card Group
    Ila3 where n is the total number of sources from Card Group 9a with the
    parameter JFLG greater than zero.   An example use of the SHORTZ coding
    forms is shown in Appendix C for the SHORTZ example problem.
                                        E-l
    

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     bifurcated  during  several  trials,  and the model would be expected to over-
     predict  axial  concentrations  within several kilometers of the stack under
     these  conditions.   At  Downwind Distance 2, the calculated axial concentrations
     are  all  less than  the  observed concentrations.   The fact that no SCL back-
     ground  is  included in the calculated values partially accounts for this
     result.   However,  because  the lateral diffusion coefficient a in Equation
     (2-18) was  set equal to 1.0 rather than to 0.9, it is also possible that
     lateral  plume  spread was overestimated at Downwind Distance 2.
    
              Two  trials of particular interest were the two trials when the
     Kammer plumes  were observed to be  impacting on nearby elevated terrain.   On
     both occasions,  the EMSL helicopter made a number of passes through the  plumes
     at a height of 15  to 30 meters above ground level.  Table H-5 lists the
     observed maximum SO  concentrations  and  the  maximum 10-minute  ground-level
     S0~  concentrations  calculated  with  and without  the terrain-adjustment proce-
     dures  contained in  the  SHORTZ  and LONGZ  programs.   If  it  is  assumed that the
     plume  axes  are terrain  following under neutral  or unstable  conditions
     (i.e., no terrain  adjustments  are required),  the  calculated  concentrations
     are  substantially  lower  than the observed  concentrations.   However,  the  10-
     minute concentrations  calculated by  including terrain  effects  are  in good
     agreement with the  observed concentrations.
                      The Port Angeles, Washington S00 Study
                                       '"' * " "" ~ """  «-"-•--'•-•-•-•-i• •  ^r —L  „.
    
              The major SO- sources in the Port Angeles, Washington area are
    the Crown Zellerbach and ITT Rayonier Pulp Mills, both of which are located
    along the shoreline of Port Angeles Harbor.  In general, the terrain in the
    Port Angeles area rises abruptly near the shoreline from sea level to about
    50 meters above mean sea level (MSL).  The highest observed SO  concentra-
    tions in the area occur east-southeast of the ITT Mill at the Third & Chestnut
    and Fourth & Baker monitoring sites.  The Third & Chestnut site is about
    800 meters from the center of the ITT Mill, while the Fourth & Baker site
    is about 1,200 meters from the center of the mill.  The terrain elevations
                                        H-13
    
    -------
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    at the two monitoring sites are greater than or approximately equal to the
    stack-top elevations of all of the SO  sources except for a relatively
    minor SO  source at the ITT Mill.  The principal source of the meteorolog-
    ical inputs used in our dispersion model calculations was a 10-meter tower
    located on the tip of Ediz Hook, a spit that protrudes into the Strait of
    Juan de Fuca and forms Port Angeles Harbor.  The location of the 10-meter
    tower is about 2.5 kilometers north of the ITT Mill.  We selected 20 hours
    for model testing using the following criteria:
    
              •    An observed 1-hour SO  concentration at one of the two moni-
                   tors greater than or equal to 0.20 ppm and a concurrent
                   observed concentration at the second monitor greater than or
                   equal to 0.05 ppm
    
              •    Availability of complete meteorological data for the Ediz
                   Hook tower
                   Operation of a minimum of three of the six ITT S0_ sources
                   for which emissions data were available
    We added the third selection criterion because all of the ITT S0? sources
    were to be considered in our analysis of the attainment status of the exist-
    ing sources with the National Ambient Air Quality Standards (NAAQS) and we
    wished to test the performance of SHORTZ under conditions approximating the
    operating conditions for the attainment status calculations.
    
              After the selection of the 20 hours for model testing, we learned
    from the Washington Department of Ecology (DOE) that the black liquor hold-
    ing pond at the ITT Mill is a continuous and highly variable source of SO
    emissions that can have a significant impact on ambient air quality.  The
    wind directions required for the straight-line transport of the stack emis-
    sions from the ITT Mill to Fourth & Baker are identical to the directions
    required for the straight-line transport of emissions from the holding pond
    to Fourth & Baker.  However, it is possible for emissions from the ITT
                                        H-15
    

    -------
    stacks to be directly transported to Third & Chestnut without the emissions
    from the holding pond having any significant effect on ambient air quality
    at Third & Chestnut.  Our inspection of the Ediz Hook wind directions dur-
    ing the hours selected for model testing indicated that the concentrations
    measured at Third & Chestnut during these hours probably were almost
    entirely determined by emissions from the ITT stacks, while the concurrent
    concentrations at Fourth & Baker were determined by the combined emissions
    from the ITT stacks and the holding pond.  Because the emissions from the
    holding pond were unquantified, we used the centerline concentrations cal-
    culated by SHORTZ at the Third & Chestnut monitor to test the model's per-
    formance.  That is, we assumed that the wind transported the merged ITT
    plume in a straight line to the Third & Chestnut monitor during each of the
    20 hours.  Assuming a "perfect model" and representative model inputs as
    well as air quality observations, the calculated centerline concentrations
    at Third & Chestnut should be greater than or equal to the corresponding
    observed concentrations for every hour.  Also, as shown below, the ratio of
    the average centerline concentration calculated at Third & Chestnut to the
    average observed concentration should be about 1.75.
    
              The neutral Pasquill D stability category existed during 19 of
    the hours selected for model testing, while the slightly unstable C cate-
    gory existed during the remaining hour.  Additionally, moderate or strong
    wind speeds occurred during all of the hours.  Thus, the general meteoro-
    logical conditions during all of the hours selected for model testing were
    very similar.  Consequently, the lateral dispersion coefficient a  of the
    merged ITT plume at Third & Chestnut should have been about the same during
    each of the hours.  Because of the occurrence of relatively high hourly SO-
    concentrations at Third & Chestnut during the 20 hours, we assumed that the
    monitor was within ±2.15 a  of the plume centerline during each hour.
                                       H-16
    

    -------
              The Mean Ratio (MR) of calculated centerline to observed concen-
    trations is defined as
                          MR
    
                                     N
                        N
                                                         _i
                                                                         (H-l)
                                              -1
    where Y    is the i   calculated centerline concentration and Y .  is the
     th      i
    i   observed concentration.  As illustrated by Figure H-l, the width of the
    wind-direction sector required for the Third & Chestnut monitor to be within
    ±2.15 a  of the centerline of the merged plume from the ITT Mill is 4.3 a .
           y                                                                 y
    If it is assumed that all wind directions within this sector are equally
    probable, the sum of a large sample of the hourly concentrations produced
    by the ITT plume at Third & Chestnut, divided by the number of observa-
    tions, yields a sector-averaged concentration.  If a Gaussian plume is
    averaged over the sector ±2.15 a , the ratio of the sector-averaged concen-
    tration X to the centerline concentration Xc is given by
                                         2.15 a
                         X.  =
                         X,,
    4.3 a
                       exp
                                      -2.15 a
    21 a
             dy'
                                                                          (H-2)
                                4.3
                                            .        . __
                                              -  =  °-57
                                       H-17
    

    -------
                                    MONITOR
         (a)  Plume South Edge Affects Monitor
                                    MONITOR
         (b)  Plume North Edge Affects Monitor
         (c)  Wind-Direction Sector for Plume Affecting Monitor
    FIGURE H-l.  Schematic illustration that the width of the sector of
                 wind directions required for a plume to affect the
                 concentration at a monitor is equal to the plume width
                 (4.3 a ) at the monitor.
                                    H-18
    

    -------
    Thus, x  in Equation (H-l) is approximately given by
    
                               Xo  =  0.57 xoc                            (H-3)
    
    where x   is the average of the actual centerline concentrations at the
    distance and elevation of Third & Chestnut.  It follows from Equations
    (H-l) and H-3) that the expected value of the MR is
                        = |xl I 0.57 x  1    =  1-75 x
                          L ccj L      °cj            Ac
                    MR  = |X_ ||0.57 X_|    =  1-75 XCC/XQC             (H-4)
    In the absence of any systematic errors in the model, the model inputs or
    the observed concentrations, 1
    an expected MR of about 1.75.
    the observed concentrations,  the ratio x  /X   should be unity,  leading to
              Table H-6 compares the calculated centerline and corresponding
    observed hourly SO  concentrations at the Third & Chestnut monitor for
    the 20 hours.  The calculated concentrations include background concentra-
    tions estimated from the concurrent hourly concentrations measured at the
    Olympic National Park Visitors Center, an inland site unlikely to be
    directly affected by emissions from the two pulp mills during periods when
    emissions from the ITT Mill cause relatively high concentrations at Third
    & Chestnut.  (The background concentration for Case 3 is 0.01 ppm, the
    background concentration for Case 14 is 0.03 ppm and the background concen-
    tration for each of the remaining cases is zero.)  With the exception of
    Cases 10, 11 and 15, all of the calculated centerline concentrations are
    greater than or equal to the corresponding observed concentrations.  The
    underpredictions for these three cases are small if allowance is made for
    the uncertainties in the model inputs.  For example, the actual S0_ emis-
    sion rates may have been higher than the emission rates assumed in the
    model calculations because the pollution control system used by the ITT
    Mill during the hours selected for model testing was not very reliable.
    The MR of 1.85 is in close agreement with the expected value of 1.75 and
    indicates that, on the average, the model is accurate to within about 10
    percent.
    
                                        H-19
    

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                                   TABLE H-6
    
        COMPARISON OF CALCULATED CENTERLINE AND CORRESPONDING OBSERVED
                 1-HOUR SO  CONCENTRATION AT THIRD & CHESTNUT
                          {FROM BOWERS,  ET AL., i960)
    Case
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    Concentration (ppm)
    Observed
    0.11
    0.27
    0.23
    0.13
    0.13
    0.09
    0.08
    0.07
    0.13
    0.33
    0.19
    0.20
    0.19
    0.30
    0.47
    0.17
    0.12
    0.06
    0.15
    0.13
    Calculated
    Centerline*
    0.32
    0.32
    0.30
    0.22
    0.18
    0.35
    0.37
    0.37
    0.56
    0.23
    0.17
    0.36
    0.43
    0.30
    0.44
    0.37
    0.37
    0.36
    0,32
    0.24
    Mean Ratio (MR)
    Ratio of Calculated
    and Observed Concentrations
    2.91
    1.19
    1.30
    1.69
    1.38
    3.89
    4.63
    5.29
    4.31
    0.70
    0.89
    1.80
    2.26
    1.00
    0.94
    2.18
    3.08
    6.00
    2.13
    1.85
    1.85
    The calculated concentrations include background (the concurrent SO,
    concentrations measured at the Visitor Center).
                                   H-20
    

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       The Mitchell Power Plant Study (U. S.  versus West Penn Power Company)
    
              The four modeling studies described above involved the use of
    historical emissions, meteorological and air quality data to test the terrain-
    adjustment procedures contained in the SHORTZ and LONGZ programs.  However,
    there is one case in which the SHORTZ program was used with historical
    meteorological data to predict in advance the magnitude and location of the
    maximum 24-hour average SO- concentration.  The Mitchell Power Plant of
    West Penn Power Company is located on the west bank of the Monongahela
    River, south of Allegheny County, Pennsylvania.  Terrain elevations on
    either side of the river equal or exceed the heights of the Mitchell
    stacks.  In support of the Pennsylvania Department of Environmental
    Resources (DER) and EPA Region III, we used 1964 surface and upper-air
    meteorological data from the Greater Pittsburgh Airport to predict the
    magnitude and location of the maximum 24-hour average ground-level S09
    concentration attributable to Mitchell emissions.  According to the results
    of our calculations, a maximum 24-hour average concentration of about 2,100
    micrograms per cubic meter should occur on a hill about 1 kilometer
    east-northeast of the plant during periods of persistent moderate-to-strong
    west-southwest winds in combination with neutral stability.  On the basis
    of the results of our calculations, the Pennsylvania DER placed one S0_
    monitor on the hill east-northeast of the plant, which is at about the same
    elevation as the tops of the Mitchell stacks, and one monitor upwind (west)
    of the plant during periods of west-southwest winds.
    
              The Pennsylvania DER S0? monitoring program covered the approximate
    period October 1976 through January 1977.  Considering the short period of
    record and the amount of missing data, a large number of violations of the
    24-hour NAAQS of 365 micrograms per cubic meter were observed during this
    period.  The maximum observed 24-hour average SO  concentration of about
    1,800 micrograms per cubic meter occurred on 1 January 1977.  Although this
    measured 24-hour average concentration is only about 86 percent of the
    predicted maximum concentration, the actual 24-hour average concentration
    exceeded 1,800 microprams per cubic meter because the hourly SO  concentra-
    
                                        H-21
    

    -------
    tions exceeded the monitor full-scale setting of about 2,500 micrograms per
    cubic meter for three consecutive hours on 1  January 1977.   The hourly SO-
    concentrations measured at the upwind monitor were all below the monitor
    threshold of about 25 micrograms per cubic meter on 1 January 1977,  a day
    of persistent moderate-to-strong west-southwest winds.  The close correspond-
    ence between predicted and observed 24-hour average S0» concentrations was
    cited by the U. S. District Court for the Western District  of Pennsylvania
    (1978) as one of the factors supporting the Court's ruling  against West
    Penn Power Company.  A discussion of the legal aspects of this case is
    given by Morse (1979).
    H.4       SUMMARY
    
              The complex terrain dispersion models first suggested by Cramer,
    ett. al. (1975) and implemented by the SHORTZ and LONGZ computer programs
    represent a very simple approximation of complex plume-terrain interactions.
    Although objections can be raised about some or all of the model
    assumptions, our testing of the models in a wide variety of situations
    indicates that the combination of the various model assumptions yields
    calculated ground-level concentrations that are in accord with the
    available air quality data without recourse to calibration constants.  We
    recognize that our models may not be applicable to all situations.
    However, we have found no inconsistencies between the data available to us
    and our basic model concepts.
    
              The Cramer, et al.  (1975) complex terrain dispersion models are
    occasionally identified by courts, consulting firms and regulatory agencies
    as the "Cramer Model." We point out that the "Cramer Model" includes our
    dispersion coefficients, our versions of the Briggs plume rise equations,
    the terrain-adjustment procedures discussed in this appendix, and the
    general modeling approach (including the Turner (1964) stability
    classification scheme in the absence of direct turbulence measurements)
    outlined in Section 2.  We do not consider any model that does not contain
    
                                       H-22
    

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    all of the components of the Cramer,  et al.  (1975)  models to be representa-
    tive of the "Cramer Model."  For example,  a  model that uses our dispersion
    coefficients and terrain-adjustment procedures,  but does not use our plume
    rise equations or the Turner (1964) stability classification scheme, should
    not be considered to be representative of  the "Cramer Model."  Similarly,
    the use of SHORTZ with mixing depths  that  are not consistent with the concept
    of the mixing depth defined in Section 2.1.1 is  an erroneous application
    and should not be considered to be representative of the "Cramer Model."
                                       H-23
    

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                                    REFERENCES
    Bowers, J. F. and H. E. Cramer 1976:  Comparison of calculated and observed
              characteristics of plumes from two coal-fired power plants
              located in complex terrain.   Preprint Volume for the Third
              Symposium on Atmospheric Turbulence, Diffusion and Air Quality,
              American Meteorological Society, Boston, Mass.
    
    Bowers, J. F., A. J. Anderson, H. E. Cramer and J. R. Bjorklund, 1980:
              Attainment status and PSD Increment analyses for Port Angeles,
              Washington.  EPA Report No.  EPA-919/9-80-075 (NTIS Accession No.
              PB81-161945), U. S. Environmental Protection Agency, Region 10,
              Seattle, Washington.
    
    Cramer, H. E, H. V. Geary and J. F. Bowers, 1975:  Diffusion-model
              calculations of long-term and short-term ground-level SO
              concentrations in Allegheny County, Pennsylvania.  EPA Report
              903/9-75-018 (NTIS Accession No. PB-245262/AS). U. S.
              Environmental Protection Agency, Region III, Philadelphia,
              Pennsylvania.
    
    Cramer, H. E., and J. F. Bowers 1976:   West Virginia power plant
              evaluation.  EPA Report No.  EPA 903/9-75-022 (NTIS Accession No.
              PB-255-466/8WP), U. S. Environmental Protection Agency, Region
              III, Seattle, Washington.
    Cramer, H. E. J. F. Bowers and H. V. Geary, 1975a:  Assessment of the air
              quality impact of S0_ emissions from the ASARCO-Tacoma smelter.
              EPA Report No. EPA 910/9-76-028, U.  S. Environmental Protection
              Agency, Region X, Seattle, Washington.
    
    Cramer, H. E., J. F. Bowers and H. V. Geary, 1976b:  Diffusion-model
              calculations of long- and short-term ground-level concentrations
              produced by the major SO  stationary sources in Allegheny County,
              Pennsylvania.  APCA Paper No. 76-26.5, presented at the 69th
              Annual Meeting of the Air Pollution Control Association,
              Portland, Oregon, June 27-July 1, 1976.
    
    Cramer H. E., J. F. Bowers and H. V. Geary, 1977:  Comparison of calculated
              and observed hourly ground-level SO  concentrations for the
              ASARCO-Tacoma Copper Smelter.  APCA Paper No. 77-58.3, presented
              at the 70th Annual Meeting of the Air Pollution Control
              Association, Toronto, Ontario, Canada, June 20-24, 1977.
    
    Finkelstein, P. L., 1976:  Wind tunnel versus Gaussian modeling techniques
              for air resources management.  Preprint Volume for the Third
              Symposium on Atmospheric Turbulence, Diffusion and Air Quality,
              American Meteorological Society, Boston, Mass.
                                         H-24
    

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    Fox, D. G. ,  1981:  Judging air quality model performance:  A summary of the
              AMS Workshop on Dispersion Model Performance.  Bulletin American
              Meteorological Society, 62/9), 599-609.
    
    Hewson, E. W. and G. C. Gill, 1944:  Meteorological investigation in
              Columbia River Valley near Trail, B.C., Part II.  Report
              submitted to the Trail Smelter Arbitral Tribunal, Bulletin 453,
              U. S. Department of the Interior, Bureau of Mines.
    
    Morse, H. N. , 1979:  Legal briefs:  Flue gas desulfurization program.
              J. Air Pollution Control Assoc. . 2jK7) , 786.
    
    Roffman, A.  and R. Grimble, 1974:  A time-dependent air quality model with
              terrain corrections.  Preprint Volume for the Symposium on
              Atmospheric Diffusion and Air Pollution, American Meteorological
              Society , Boston, Mass.
    
    Start, G. E. , C. R. Dickson and N. R. Ricks, 1974:  Effluent dilutions over
              mountainous terrain and within mountain canyons.  Preprint Volume
              for the Symposium on Atmospehric Diffusion and Air Pollution,
              American Meteorological Society, Boston, Mass.
    
    Start, G. E. , N. R. Ricks and C. R. Dickson, 1976:  Effluent dilutions over
              mountainous terrain.  Preprint Volume for the Third Symposium on
              Atmospheric Turbulence, Diffusion and Air Quality, American
              Meteorological Society, Boston, Mass.
    
    Turner, D. B., 1964:  A diffusion model for an urban area.  J. Applied
              Meteor. . MO , 83-91.
    United States v. West Penn Power Company, 460 F. Supp. 1305 (W. D. Pa.,
              1978).
    
    Wilson, DA., H. E. Cramer, J. F. Bowers and H. V. Geary, 1977:  Detailed
              diffusion modeling as a method for interpreting and supplementing
              air quality data.  Preprint Volume for the Joint Conference on
              Applications of Air Pollution Meteorology, American
              Meteorological Society, Boston, Mass.
                                        H-25
    

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    (This Page Intentionally Blank)
                 H-26
    

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                                    APPENDIX I.
                  THE SHORTZ METEOROLOGICAL PREPROCESSOR PROGRAM
    I.I       DESCRIPTION OF THE SHORTZ PREPROCESSOR PROGRAM METZ
    
              The METZ meteorological preprocessor program is designed to use
    National Weather Service (NWS) hourly surface weather observations and twice-
    daily nixing height estimates to generate a magnetic tape of the hourly
    values of the meteorological input parameters required by the SHORTZ pro-
    gram.  The inputs required by METZ are:  (1) hourly NWS observations of sur-
    face wind speed, wind direction, cloud cover and ceiling height in magnetic
    tape format; and (2) daily minimum and maximum mixing heights in punched
    card format, as determined from NWS 1200 GMT upper-air temperature sound-
    ings using the methods of Holzworth (1972).  With the exception of program
    control parameters, the METZ input requirements and formats are the same as
    for the meteorological preprocessor program for the U. S. Environmental
    Protection Agency's short-term dispersion models such as the Single Source
    (CRSTER) Model (EPA, 1977).
    
              METZ converts the NWS surface wind speeds from knots to meters
    per second.   If the wind speed is calm or less than 1.0 meter per second,
    the wind speed is set equal to 1.0 meter per second.  The NWS surface wind
    directions,  which are reported to the nearest 10-degree sector, are random-
    ized to the nearest degree within the sector in an attempt to account for
    the actual variability of the wind within the sector.  The METZ randomiza-
    tion procedure differs from that used by the EPA meteorological preproces-
    sor program in two ways.  First, METZ does not convert the observed wind
    directions to directions toward which the wind is blowing because SHORTZ is
    designed to use conventional wind directions (directions from which the
    wind is blowing).  Second, the random number generator used by METZ is the
    H. E. Cramer Company's UNRAN subroutine rather than the UNIVAC system RANDU
    subroutine.   If the wind is calm, the wind direction before randomization
    
                                      1-1
    

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    is set equal to the wind direction during the last non-calm hour.   (Hours
    of calm winds are flagged in the METZ listings of hourly meteorological
    inputs.)  METZ converts the surface temperature from degrees Fahrenheit to
    degrees Kelvin for use in the SHORTZ calculations.  Urban or rural mixing
    depths are interpolated following the procedures discussed in Secton 2.1.1
    (see Figure 2-1).  The Turner (1964) approach is used to calculate the
    Pasquill stability category during each hour.  As a user option, METZ will
    not allow the stability to change by more than one category from one hour
    to the next.  Wind-profile exponents are automatically assigned by SHORTZ
    on the basis of wind speed and stability (see Table 2-2 in Section 2.1.1),
    while the lateral and vertical turbulent intensities are automatically
    assigned on the basis of stability (see Table 2-3 in Section 2.1.1).   SHORTZ
    program control parameter ISW(17) determines whether urban or rural turbu-
    lent intensities are used in the model calculations (see Section 3.1.2).
    METZ assigns the vertical potential temperature gradients listed in Table
    2-4 in Section 2.1.1 on the basis of stability and wind speed; the user
    must specify whether the values for humid or arid regions are to be used.
    
              It is important to note that concentrations calculated using
    Gaussian dispersion models such as SHORTZ are inversely proportional to the
    mean wind speed.  Thus, the calculated concentrations approach infinity as
    the mean wind speed approaches zero (calm).   Also, NWS surface wind speeds
    and wind directions are short-term averages  that often will not be repre-
    sentative of hourly average wind speeds and  wind directions under light
    wind conditions.  The procedures used by METZ to account for hours with
    light or calm winds are based on the arbitrary procedures used by the EPA
    meteorological preprocessor program.  It has been the experience of the H.
    E. Cramer Company that the hourly concentration patterns calculated by
    SHORTZ during hours with NWS surface wind speeds less than about 3 knots
    (1.54 meters per second) are often unreliable because of the deficiencies
    for modeling purposes of the NWS surface wind data.  The user is therefore
    strongly urged to examine the meteorological conditions associated with the
    highest calculated short-term concentrations.  If hours with wind speeds
    less than about 1.5 meters per second account for the highest calculated
                                        1-2
    

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    short-term concentrations, the accuracy of these calculated concentrations
    may be questionable.
    1.2
    DATA INPUT DESCRIPTION
              This section describes all card and tape input required by the
    SHORTZ preprocessor program METZ.
    
              1.2.1     Program Control Parameter Data
    
              These card input data contain parameters which provide user
    control of all program options and user input constants.
    Parameter
      Name
                             Description
     ITITLE
         Heading Label - This parameter allows the user to enter up
         to 80 characters of run identification information.   The
         information entered in this parameter is printed at  the top
         of each page of print output.
     ISW(l)
         Stability Option - This option allows the user to specify
         one of two Pasquill stability category output modes.   A value
         of "0" or blank directs the program to output the actual
         Pasquill stability category computed for each hour regardless
         of the stability during the previous hour.  A value of "1"
         directs the program to output a modified Pasquill stability
         category that does not vary by more than one category from
         one hour to the next.
     ISW(2)
         Potential Temperature Gradient (DLTH/DZ) Option - This
         option allows the user to use vertical potential temperature
         gradients for either humid or arid regions.  The values
                                        1-3
    

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                  assigned on the basis of wind speed and stability  are  listed
                  in Table 2.4 in Section 2.1.1.   A value of  "0"  or  blank dir-
                  ects the program to  use humid values.   A value  of  "1"  directs
                  the program to use arid values.
    ISW(3)
    Mixing Depth Option - This option allows the user to compute
    either rural or urban mixing depths.  The procedure used to
    determine mixing depths is described in Section 2.1.1.  A
    value of "0" or blank directs the program to compute rural
    mixing depths.  A value of "1" directs the program to com-
    pute urban mixing depths.
    ISU(4)
    Day Option - This option allows the user to process selected
    days of the year.  If ISW(4) equals "0" or blank, SHORTZ
    hourly meteorological inputs will be output for all 365 or
    366 days of the year.  A value of "1" for ISW(4) directs the
    program to read the IDAYS array from input cards 4 through 8
    and to output SHORTZ hourly meteorological inputs only for
    the days with the corresponding value of IDAYS set equal to
    it 1 ii
    ISW(5)
    Punch Option - This option allows the user to output the
    SHORTZ hourly meteorological inputs to either punched cards
    or a disk file.  If ISW(5) equals "0" or blank, the output
    is punched on cards.  If ISW(5) equals "1", the output is
    written to a disk file referenced by unit number 9.
     1ST
    The NWS surface station WBAN number.  The station number
    read from the CD 144 surface data input from unit number 8
    is checked against 1ST to insure that correct data are used.
     IYR
    Year of surface data.  IYR is used to check the CD 144 sur-
    face data.
                                      1-4
    

    -------
      ALAT
    Latitude of surface station.
     ALONG
    Longitude of surface station.
      ZONE
    The time zone in which the surface station is located.  For
    the continental United States time zones, inputs are:
    Eastern=5, Central=6, Mountain=7, Pacific=8.
                   Lateral diffusion coefficient.   The default value equals
                   0.90.
      CON
    Rural mixing depth constant.  The default value equals 100.0.
    CON is multiplied by average wind speed to calculate rural
    nighttime mixing depths.
     ID AYS
    Select Day Indicator - This parameter is omitted if ISW(4)
    equals "0" or blank.  The variable IDAYS, a 366-word array,
    directs the METZ program to process a user-specified subset
    of days from the full year of surface and upper-air input
    data.  If an array element of IDAYS has a value of "0", the
    corresponding Julian Day of data is skipped and SHORTZ
    hourly meteorological inputs are not output for that Julian
    Day.  If the array element of IDAYS has a value of "1", the
    corresponding Julian Day of data is processed and SHORTZ
    hourly meteorological inputs are output to either punched
    cards or a disk file.  For example, if IDAYS(165) equals
    "1", SHORTZ meteorological inputs are output for each hour
    of Julian Day 165.
              1.2.2
         Surface Data
              METZ requires hourly NWS surface weather observations.   Magnetic
    tapes containing the hourly surface data in "Card Deck 144  (CD  144)  format"
    are available from the National Climatic Center (NCC)  in Asheville,  North
                                        1-5
    

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    Carolina.  The format of these tapes is described in the Card Deck 144 WBAN
    Hourly Surface Observations Reference Manual (NCC, 1970).   CD 144 data used
    by METZ include the station number,  year,  month,  day, hour, cloud ceiling
    height, wind direction, wind speed,  dry bulb temperature and total opaque
    sky cover.  The other data available on the CD 144 tape are not used by
    METZ.  Table 1-1 describes the data  parameters and format  required by METZ.
    Note that these data parameters and  format are the same as required by the
    EPA CRSTER preprocessor program.   Each record of  the surface data file must
    contain only 1 hour of card image data.  METZ references the surface data
    file via unit number 8.
    
              1.2.3     Mixing Depth Data
    
              METZ requires daily minimum and maximum mixing depths in punched
    card format, as determined from NWS  1200 GMT upper air temperature soundings
    using the methods of Holzworth (1972).  The methodology for calculating
    hourly mixing depths from the twice  daily mixing  depths involves interpola-
    tion using the morning and afternoon values from  the current day and the
    morning values from the following day.  This methodology differs from that
    used by the EPA CRSTER preprocessor  program.  The mixing depths for the
    last day of the year preceeding the  year of record should  not be included
    in the METZ mixing depth data inputs.  METZ mixing depth data inputs must
    begin with mixing depth for the first day of the  year the  user is processing.
    However, as with the EPA CRSTER preprocessor program, the  morning mixing
    depth for the first day of the year  following the year of  record must be
    included.
    
              Each mixing depth data card contains the NWS upper air station
    number, the date and the values for  morning and afternoon  mixing depths.
    Table 1-2 is a description of the mixing depth card input  format.  Mixing
    depth data on tape are available from the NCC.  METZ mixing depth card in-
    puts must be punched from either the NCC magnetic tape data or from printed
    tabular data for the year and NUS upper-air station of record.  Table 1-3
    describes the NCC mixing height (depth) magnetic  tape format.  Note that
                                       1-6
    

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                             TABLE 1-1
    DATA RECORD FORMAT FOR NCC MAGNETIC TAPES OF CD 144  SURFACE
              DATA - PREPROCESSOR REQUIRED DATA ONLY
    Record
    Positions
    1-5
    6-7
    8-9
    10-11
    12-13
    14-16
    17-38
    39-40
    41-42
    43-46
    47-49
    50-78
    79
    80
    Format
    15
    12
    12
    12
    12
    3A1
    22X
    12
    12
    4X
    13
    29X
    Al
    IX
    i
    Description
    NWS Surface Station WBAN Number
    Year of Record (last two digits)
    Month
    Day
    Hour
    Ceiling Height
    Blank
    Wind direction (Tens of degrees)
    Wind speed (Knots)
    Blank
    Temperature
    Blank
    Opaque
    Blank
                               1-7
    

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                 TABLE 1-2
    
    
    
    
    METZ MIXING DEPTH DATA CARD FORMAT
    Card
    Columns
    1-5
    6-7
    8-9
    10-11
    12
    13-17
    18-30
    31-35
    Format
    15
    12
    12
    12
    IX
    F5.0
    13X
    F5.0
    Description
    NWS Upper Air Station WBAN
    Number
    Year of record (last two digits)
    Month
    Day
    Blank
    Morning Mixing Depth (m)
    Blank
    Afternoon Mixing Depth (m)
    
    
    
    
    
    
                  I-l
    

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                                     TABLE 1-3
               DATA RECORD FORMAT FOR NCC MAGNETIC TAPES OF MORNING
                       AND AFTERNOON MIXING HEIGHTS  (DEPTHS)
    Record
    Positions
    1-5
    6-7
    8-9
    10
    11-12
    13
    14-17
    18-20
    21-23
    24
    
    25-28
    29-31
    32-34
    Format
    15
    12
    12
    11
    12
    Al
    14
    13
    13
    Al
    
    14
    13
    13
    Description
    NWS Upper Air Station WBAN Number
    Year of record (last two digits)
    Month
    Season (1 = Dec. -Feb., 2 = Mar. -May,
    3 = June-Aug., 4 = Sept. -Nov.)
    Day
    Type Code (P = precipitation,
    C = morning average temperature
    plus 5°C is less than 1200 GMT
    surface temperature, M = missing)
    Morning Mixing Height (m)
    — 1
    Morning* Surface Wind Speed (m s )
    Morning Wind Speed Averaged from
    Surface through Mixing Layer (m s )
    Type Code (P = precipitation,
    C = afternoon average temperature
    is less than 1200 GMT surface tem-
    perature, M = missing)
    Afternoon Mixing Height (m)
    Afternoon** Surface Wind Speed
    (m s )
    Afternoon Wind Speed Averaged from
    Surface through Mixing Layer (m s )
     *  0200-0600 LST
    **  1200-1600 LST
                                         1-9
    

    -------
    the NCC tape format is not the same as the format required by METZ for the
    mixing depth data card input.
    
              METZ references the mixing depth data via unit number 5.  There-
    fore, the mixing depth data can be punched on cards and inserted immediately
    after the METZ program control input cards or, if card image data exists on
    a disk file, this file can be "@ADD'ed" to the runstream after the program
    control input cards.
    1.3       OUTPUT DESCRIPTION
    
              The METZ preprocessor program produces both print output and
    either disk file or punched card output.  The first page of the print out-
    put lists the program control card input data as well as the station number
    and year of the mixing depth data.  The remainder of the print output lists
    the SHORTZ hourly meteorological inputs with 3.5 days of inputs listed per
    page.  Tables 1-4 and 1-5 show respectively an example of the first page of
    METZ print output and an example page of the METZ listing of SHORTZ hourly
    meteorological inputs.  As shown by Table 1-5, the SHORTZ meteorological
    inputs printed include wind direction (degrees), wind speed (meters per
    second), rural/urban mixing depth (meters), temperature (degrees Kelvin),
    arid/humid vertical potential temperature gradient (degrees Kelvin per
    meter) and actual/modified stability category.  Other parameters listed
    include year, month, day, hour, Julian Day and time of sunrise and sunset.
    If ISW(4) equals "0", hourly meteorological inputs are printed for all days
    of the year.  If ISW(4) equals "1", only the hourly meteorological inputs
    for the days specified by parameter IDAYS are printed.
    
              Both the punched card and disk file output consists of the hour,
    wind direction, wind speed, mixing depth, temperature, vertical potential
    temperature gradient, stability category and lateral diffusion coefficient.
    The format of both the punched cards and the card image disk file is that
    required by SHORTZ and described in Section 3.2.3.  Note that the Pasquill
    
                                       1-10
    

    -------
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    G category (category 7) is converted to the Pasquill F category (category
    6) for output to cards or disk.
    
              Use of the preprocessor output is best explained by referencing
    Section 3.2.2 in the main body of the report.  If output is in the form of
    punched cards (METZ control parameter ISW(5) equals "0"), simply insert the
    cards as Card Group 11 in the SHORTZ input deck (see Table 3-5).  The correct
    card input order is shown in Figure 3-1.  If METZ output is written to a
    disk file (METZ control parameter ISW(5) equals "1"), replace SHORTZ input
    Card Group 11 with the following UNIVAC ECL control statement:
    
                                 @ADD    out-file
    where
         out-file  =  METZ output disk file as described in Section I.A.I
    
    Also, check to insure that SHORTZ input parameter NDAYS is equal to the
    total number of days of proprocessed meteorological inputs inserted in the
    SHORTZ input deck.
    1.4       CONTROL LANGUAGE AND DATA DECK SETUP
    
              1.4.1  Control Language Requirements
    
              The following illustrates the required ECL control statement run-
    stream for a typical run on a UNIVAC 1100/60 Operating System:
    
    @RUN, priority      jobid,account.userid, time, pages
    
    (?ASG,A              prog-file.
    
    PASG.A              cd!44-file.
    
                                       1-13
    

    -------
    (§USE
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    out-file.
    
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    a disk file.  The file is "@ADD'ed"
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    Optional, required only when SHORTZ
    hourly meteorological inputs are
    written to a disk file (ISW(5)="1")
                        Required if the mixing depth data
                        cards have been placed in a disk
                        file.
    where,
                priority  =  job run priority
    
                   jobid  =  six-character user supplied job identification or
                             terminal site identification name.
    
                 account  =  account number
    
                  userid  =  12 character user supplied project number or user
                             number
                                       1-14
    

    -------
               time  =  execution time required in minutes
    
              pages  =  output pages required
    
          prog-file  =  the name of the program file.  This example assumes
                        the user has assembled and collected the METZ pre-
                        processor program into prog-file and called the
                        absolute program METZ.
    
         cd!44-file  =  the name of the file containing the CD 144 surface
                        data inputs.  Each record of cd!44-file must con-
                        tain only 1 hour of surface data.  METZ references
                        cd!44-file via unit number 8.
    
           mix-file  =  the name of the file containing card image mixing
                        depth data.  This file is not required if mixing
                        depth data are to be read directly from punched
                        cards which follow the METZ program control input
                        cards.
    
           out-file  =  the name of the disk file which will receive the
                        SHORTZ meteorological data inputs.  This file is
                        used only if ISW(5) equals "1".  METZ references
                        out-file by unit number 9.
    
    card-input-data  =  METZ preprocesser program control input cards as
                        described in Section 1.4.2.
    mix-depth-cards  =  Twice daily mixing depth card data.   These mixing
                        depth data cards should be placed immediately after
                        the program control input cards.  If the mixing
                        depth data cards have been stored on a disk file,
                        use the statement "@ADD mix-file" to insert the
                        data into the runstream after the program control
                        input cards.
    
                                  1-15
    

    -------
              1.4.2     Control Input Data Deck Setup
    
              The brief control input data deck outlined below is followed in
    Table 1-6 by a more detailed description of METZ control card input
    requirements.  The control input data cards follow the @XQT statement in
    the following order:
    
              •    Card No. 1     -    Title card
    
              •    Card No. 2     -    Program control options
    
              •    Card No. 3     -    Surface station information and user
                                       input program constants
    
              •    Cards No. 4
                   through No. 8  -    Day selection information.  These 5
                                       cards are omitted if ISW(4) equals "0".
    1.5       PROGRAM RUN TIME, PAGE AND CARD OUTPUT
    
                                     Run Time
    
              The run time required to process and output a full year of data
    is approximately 3 minutes on an UNIVAC 1100/60-H2 Computer.  Processing
    only selected days will decrease run time, but not in direct proportion to
    the number of days processed.  Consequently, the user should allow up to 3
    minutes of run time for each run.
    
                                    Page Output
    
              Print output consists of one program control data output page and
    one page for every 3.5 days processed.  Therefore the total number of pages
    printed will be:
    
                                       1-16
    

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    -------
                          No. of Pages  =  1 + NDAYS/3.5
                                                                (I-D
    where,
                   NDAYS  =  the total number of days processed.   If ISW(4)
                             equals "0", NDAYS equals either "365" or "366" for
                             leap years.  If ISW(4) equals "1", NDAYS equals
                             the number of days selected through the IDAYS
                             parameter to be processed.
    
                                    Card Output
    
              One card is punched for each hour of data processed.  Similarly,
    one record is written to the disk file (unit number 9) for each hour pro-
    cessed.  Therefore, the total number of cards punched or of records written
    to file is 24'NDAYS.
    1.6
    PROGRAM DIAGNOSTIC MESSAGES
              METZ performs several checks on the surface data and mixing depth
    data to insure dates and station numbers agree with user input and to guar-
    antee data inputs are not out of order.  All error messages terminate pro-
    gram execution so that the user can correct data input errors before con-
    tinuing.  A list of diagnostic messages with explanations is given in Table
    1-7.
    
              Diagnostic Messages 1,3 and 4 also list (in addition to the mes-
    sages described in Table 1-7) the surface data for the day being processed
    by the preprocessor program when the error occurred.   This feature enables
    quick identification and correction of most data check errors encountered.
    The surface data are listed in the following format:
                                       1-19
    
    -------
                                     TABLE 1-7
    1.  *** JULIAN DAY OF SURFACE MET DATA IS IN ERROR ***
        JULIAN DAY SHOULD BE xxx BUT IS xxx MONTH AND DAY ARE RESPECTIVELY xx xx
    
        The CD 144 surface data month and day are checked to insure proper
        sequence of data.  If this message appears, the surface data are not in
        sequential order.  Locate the month and day of data as indicated in the
        message and correct.
    2.  *** DATES OF MIXING DEPTH DATA AND SURFACE DATA DO NOT AGREE ***
        MIXING DEPTH DATA YEAR, MONTH, DAY =  xx xx xx
        SURFACE DATA YEAR, MONTH, DAY      =  xx xx xx
    
        Dates of surface data and mixing depth data must agree.  Check both
        days indicated in the error message and correct appropriately.
    3.  *** STATION NUMBER OR YEAR OF SURFACE MET DATA IS IN ERROR ***
        CONTROL CARD WBAN NO. = xxx  SURFACE STATION WBAN NO. = xxx
        CONTROL CARD YEAR = xx   SURFACE STATION YEAR = xx
    
        CD 144 surface data station WBAN number and year of data are checked
        with user input station WBAN number 1ST and year of surface data IYR.
        Check program control input Card No. 3 to eliminate possible key punch
        errors.  Also check CD 144 surface data for an incorrect station WBAN
        number or year.
    
    4.  *** HOUR OF SURFACE DATA IS IN ERROR ***
        HOUR SHOULD BE xx BUT IS xx
    
        Each hour of CD 144 surface data is checked for proper sequence.
        Determine which hour of data is out of sequence and correct.
                                        1-20
    
    -------
     SURFACE DATA FOR THE DAY CURRENTLY BEING PROCESSED ARE:
    STA MO  YR  MO  DY  HR  CEILING  WIND DIR  WIND SPD  TEMP  SKY
    XXXXX   XX  XX  XX  01    XXX      XXX       XXX      XXX   X
    XXXXX   XX  XX  XX  02    XXX      XXX       XXX      XXX   X
    XXXXX   XX  XX  XX  24    XXX      XXX       XXX      XXX
                                 1-21
    
    -------
                                    REFERENCES
    Environmental Protection Agency, 1977:  User's manual for Single Source
              (CRSTER) Model.  EPA Report No.  EPA-450/2-77-013. U. S. Environ-
              mental Protection Agency, Research Triangle Park, North Carolina.
    
    Holzworth, G. C.,  1972:  Mixing heights, wind speeds and potential for urban
              air pollution throughout the contiguous United States.  Publica-
              tion No. AP-101, U.  S. Environmental Protection Agency, Research
              Triangle Park, North Carolina.
    
    National Climatic  Center, 1977:  Card Deck 144 WBAN Hourly Surface Observa-
              tions Reference Manual, National Climatic Center, Asheville, North
              Carolina.
    
    Turner, D. B., 1964:  A diffusion model for an urban area.  Journal of Applied
              Meteorology, 3(1), 83-91.
                                        1-22
    
    -------
    COMPLETE FORTRAN LISTING OF THE SHORTZ METEOROLOGICAL
            PREPROCESSOR (METZ) COMPUTER PROGRAM
                           1-23
    
    -------
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                                       TECHNICAL REPORT DATA
                               (Please read fiiuriicnons on llic reverse bctore completing)
    1  REPORT NO
       EPA-903/9-82-004b
                                                               3. RECIPIENT'S ACCESSION NO.
    4. TITLE AND SUBTITLE
       User's Instructions  for  the SHORTZ and LONGZ
       Computer Programs—Volume II
                                                               5. REPORT DATE
                                                                       March 1982
                                             6. PERFORMING ORGANIZATION CODE
    7. AUTHORiS)
    
       Jay R. Bjorklund  and  James F. Bowers
                                             8. PERFORMING ORGANIZATION REPORT NO.
    
                                               TR-82-131-01
    9. PERFORMING ORGANIZATION NAME AND ADDRESS
    
       H. E. Cramer Company,  Inc.
       P. 0. Box 8049
       Salt Lake City,  Utah  84108
                                                               10. PROGRAM ELEMENT NO.
                                             11. CONTRACT/GRANT NO.
                                               Contract  No.  68-02-2547
                                               Task Order No.  1
    12. SPONSORING AGENCY NAME AND ADDRESS
       U. S. Environmental Protection Agency, Region  III
       6th and Walnut  Streets
       Philadelphia, PA  19106
                                                               13. TYPE OF REPORT AND PERIOD COVERED
                                                                       Final
                                             14. SPONSORING AGENCY CODE
    15. SUPPLEMENTARY NOTES
    16. ABSTRACT
    
             The SHORTZ and LONGZ computer programs are designed to calculate  the short-
       term  and long-term ground-level pollutant concentrations produced  at a large
       number of receptors by emissions from multiple stack, building and area sources.
       SHORTZ and LONGZ are applicable in either rural or urban areas of  both flat and
       complex terrain.  SHORTZ and LONGZ are written in FORTRAN and are  specifically
       designed for use on a UNIVAC 1110  (or other UNIVAC 1100 series)  computer.   Both
       programs require a random-access mass storage device.  SHORTZ requires approxi-
       mately 55K words of core and LONGZ requires approximately 50K words of core.
       Volume I of the User's Instructions  contains a detailed technical  discussion of
       the dispersion-model equations implemented by SHORTZ and LONGZ and detailed user's
       instructions for the two programs.   Volume II contains appendices  which include:
       (1) complete listings of the SHORTZ  and LONGZ programs, (2) example SHORTZ and
       LONGZ problems, (3) coding forms for card input to SHORTZ and LONGZ,  (4) discus-
       sions of the development and testing of the stack-tip downwash and complex
       terrain algorithms used by SHORTZ and LONGZ, and (5) a SHORTZ meteorological
       preprocessor program for use with National Weather Service  (NWS) surface and
       upper-air meteorological data.
    17.
                                   KEY WORDS AND DOCUMENT ANALYSIS
                                                 b.IDENTIFIERS/OPEN ENDED TERMS  C. COSATI Field/Group
    DESCRIPTORS
       Air pollution
       Turbulent diffusion
       Meteorology
       Mathematical models
       Computer models
                                   Dispersion
                                   Complex  terrain
                                   Downwash
    13. DISTRIBUTION STATEMENT
    
        Release  Unlimited
                                1S. SECURITY CLASS f This Report)
                                   Unclassified
                                                                            21. NO. OF PAGES
                                                 20 SECURITY CLASS (This page)
                                                     Unclassified
                                                                            22. PRICE
    EPA Form 2220-1 (9-73)
    

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                                     APPENDIX F
                    CODING FORMS FOR CARD INPUT TO THE LONG-TERM
                          MODEL (LONGZ) COMPUTER PROGRAM
              The coding forms shown in this appendix are used to prepare the
    input data for the LONGZ program for card punching.  If any input card has
    all zero values, it may be left blank because the program interprets blanks
    as zero.  The coding forms are presented in the same order as the program
    expects the input data except for the source input coding forms.  The source
    input coding forms show a form for Card Groups 18a, 18b and 18c individually.
    This is done to make the key punching of the source data easier and to
    minimize the number of coding forms that must be filled out.  When the source
    card data have been punched, the user must reorder the source -input oards in
    sets from Card Groups 18a through 18o, one set for eaoh successive source,
    An example use of these card input forms is shown in Appendix D for the LONGZ
    example problem.
                                         F-l
    

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                   F-18
    
    -------
                                     APPENDIX G
               DEVELOPMENT OF THE SEMI-EMPIRICAL CORRECTION FACTOR FOR
                          DOWNWASH EFFECTS ON PLUME RISE
              In most plume rise equations, including those of Briggs  (1969, 1970,
    1971 and 1972), momentum effects are neglected when calculating buoyant plume
    rise.  There are sound theoretical and empirical reasons to believe that
    momentum effects are negligible in comparison with buoyancy effects for a hot
    plume.  However, Briggs (1969), Fay, _et_ al., (1970) and others have expressed
    the belief that their plume rise equations may not be applicable when the
    ratio of the stack exit velocity w to the mean wind speed u is less than 1.5
    to 1.2 unless the Froude number Fr is less than about unity.  The Froude
    number Fr, which in essence is the ratio of momentum to buoyancy, is defined
    by Briggs (1969, p. 6) as
                                                                             (G-l)
    Fr
    2
    w
    (T - T \
    s al n
    T ) D
    a /
    where
              T  =   the stack exit temperature ( K)
               S
    
              T  =   the ambient air temperature ( K)
               Si
    
              D  =   the stack diameter (m)
                                                           2
              g  =   the acceleration due to gravity  (m/sec )
    
    Thus, a stack with a small Froude number usually has a high heat content.
    For w/u less than 1.2, Briggs (1970) states that "downwash of the plume into
    the low pressure region in the wake of the stack is likely to occur."  The
    ASME Guide (1973, p.23-25) recommends that a stack should be designed so that
    w/u is greater than or equal to 2 most of the time.  It should be noted that
    the majority of the stacks used to validate the Briggs plume rise equations
    
                                         G-l
    
    -------
    have either high exit velocities, or low Froude numbers, as shown by Table
    G-l.  Thus, any downwash effects on plume rise would not be observed for
    these stacks except on rare occasion.
    
              During 1974, the H.  E. Cramer Company developed a computerized
    set of short-term and long-term dispersion models for use by the Air Quality
    Division of the Michigan Department of Natural Resources (DNR).   The new
    programs were then tested by calculating ground-level S0? concentrations pro-
    duced by the major stationary sources in Lansing, Michigan.  During the
    course of the study, we found that visual observations of the behavior of
    the plumes from a number of stacks did not correspond to the behavior predic-
    ted by the Briggs equations when the wind speed approached the stack exit
    velocities.  Observations suggested that, rather than attaining the calculated
    plume rises, the plumes did not achieve any buoyant rise when the wind speed
    was greater than or equal to the stack exit velocities.  In general, these
    stacks were characterized by Froude numbers appreciably larger than unity.
    Our work on the Allegheny County SO- study (Cramer, e_t^ aj^., 1975), which re-
    sulted in the development of the SHORTZ and LONGZ computer programs, began
    during the period when we were completing our model testing in Lansing.
    Visual observations of plume rise for stacks in the Allegheny County area
    also indicated restrictions on plume rise during periods when the wind speed
    equalled or exceeded the stack exit velocity.
    
              On the basis of our observations in Lansing and Allegheny County,
    we hypothesized that plume rise is precluded for most stacks when w/u is less
    than or equal to unity.  Following the suggestions of Briggs (1973), we assumed
    that the exit-velocity effect starts to occur when w/u is equal to 1.5.  We
    therefore multiplied the plume rise Ah calculated from the Briggs equations
    by a factor f defined by
                    f =
                               1     ;   u  < w/1.5
    /3w - 3u\
    \   w   /
    w/I.5 <  u < w
                              0      ;   w <  u
                                         G-2
    (G-2)
    
    -------
                                     TABLE G-l
    
               EXIT VELOCITIES AND FROUDE NUMBERS  OF STACKS USED TO
                 VALIDATE THE BRIGGS  (1969)  PLUME  RISE EQUATIONS
    Source*
    Harwell A**
    Harwell B
    Bosanquett**
    Darmstadt**
    Duisburg
    Tallawarra**
    Lakeview**
    CEGB Plants
    Earley
    Barley
    Castle Donington
    Castle Donington
    Northfleet**
    Northfleet**
    TVA Plants
    Shawnee**
    Colbert**
    Johnsonville
    Widows Creek
    Gallatin
    Gallatin
    Paradise
    Paradise
    Exit Velocities (m/sec)
    9.9
    9.9
    9.7
    4.8
    8.5
    3.7
    19.8
    
    5.6
    17.1
    12.5
    16.7
    14.1
    21.3
    
    14.8
    13.1
    28.9
    21.8
    16.0
    7.2
    15.6
    17.4
    Froude Number
    17.6
    17.6
    3.0
    0.9
    5.6
    0.5
    19.9
    
    1.9
    17.7
    5.3
    9.5
    10.9
    24.9
    
    11.9
    7.7
    43.8
    18.5
    8.9
    1.5
    20.6
    8.9
     * See Table 5.1 of Briggs (1969) for data references.
    
    ** Not included in "selected data" by Briggs (1969) because factors such
       as low exit velocity, terrain downwash, etc. may affect plume rise.
                                        G-3
    
    -------
     The  expression  in  Equation  (G-2)  for  u between  0.67 w and w is  a  simple
     linear  interpolation  between  the  two  extremes that we hypothesized.   (Equation
     (G-2) corresponds  to  Equation (2-5) in Section  2.2.)   The use of  Equation (G-2)
     in the  short-term  and long-term dispersion model calculations substantially
     improved  the correspondence between the  calculated and observed S0_  concentra-
     tion in every case considered in  our  Lansing and Allegheny  County studies.
     Consequently, Equation (G-2)  was  included in the urban dispersion  model deve-
     loped for Michigan and in the SHORTZ  and LONGZ  programs.
    
              We continued to investigate downwash restrictions on plume rise
    following the completion of the studies in Lansing and Allegheny County.
    Because additional visual observations of plume behavior indicated that
    Equation  (G-2) did not apply to a linited number of stacks,  we analyzed the
    plume rise data given by Bringfelt (1968) to gain further insight  into the
    downwash problem.  The two parameters  that we used to characterize each
    Bringfelt observation were the Froude number and the w/u ratio.
    
              Table G-2 lists the stack exit parameters,  the mean wind speed u,
     the  observed plume rise Ah  and the Froude  number Fr  for each trial reported
     by Bringfelt (1968) in which  the  w/u  ratio was  less  than or equal to unity;
     several cases with w  slightly greater than u are also included  in the table.
     It is important to note that, in  his  analysis of the  data,  Bringfelt excluded
     all  trials  with w/u ratios  less than  unity in order  to eliminate  the most
     extreme downwash cases (see p. 583).   If the Froude  number  is not considered,
     the  modified Briggs plume rise equations used by the  SHORTZ and LONGZ programs
     calculate a zero or near zero plume rise for each trial listed  in Table  G-2.
    
              Table G-3 lists,  for each trial  in Table  G-2, the ratio of the
     observed  final  plume  rise Ah  to the stack height h.   For  the purpose of
     dispersion  modeling,  we will  define  "significant" plume rise as plume rise
     that is greater than  or equal to 20 percent of  the  stack height (i.e., Ah/h
     > 0.2).  Following this definition,  there are  17 cases of  significant rise,
     eight cases of  negligible rise and  three cases  that  may have had  significant
                                          G-4
    
    ------- CM O w 1-1 co t-4 cu s^ t3 01 3 rg o e fa S3 0) T3 W 01 -H r* PH SJ /-N oj m a en g ^5. fO 3 0 rH P-, QJ ^N o) a d a , X -rJ ^ W -H CJ a 01 A; o co O rH **-^ cfl 0) 6 4J > v_> CO rJ 01 •H M o •H a--' rQ 6 JJ 0) •H }-i X 3 W -U CO ^"^ r! VOCTXOOO CM CO rH CM CO C^ 00 CJ"* r^» •

    -------
                             TABLE G-3
    
    RATIOS OF PLUME RISE TO STACK HEIGHT AND FROUDE NUMBERS OF
             BRINGFELT (1968) TRIALS FOR WHICH w/u IS
                       LESS THAN OR EQUAL TO UNITY
    Trial
    3
    4
    6
    7
    8
    lOa
    lla
    20a
    20c
    21c
    22b
    24c
    27b
    28c
    31
    33b
    35
    36
    37
    39
    43a
    43b
    44a
    45a
    45c
    46a
    46c
    47a
    Stack
    Height h
    (m)
    80
    80
    80
    80
    80
    145
    145
    145
    90
    90
    90
    65
    64
    65
    90
    70
    90
    70
    96
    90
    122
    71
    145
    145
    50
    145
    90
    125
    Observed
    Plume Rise
    Ah (m)
    44-36
    20-30
    81
    60-80
    110-130
    15-20
    10-75
    53
    15-26
    26-34
    33
    -1
    41
    11
    52-60
    14
    56-83
    15
    27-64
    115
    0
    0
    16-27
    12-22
    44
    24-33
    5-10
    68-75
    Ah/h
    0.55-0.70
    0.25-0.38
    1.01
    0.75-1.00
    1.38-1.63
    0.10-0.14
    0.07-0.52
    0.37
    0.17-0.29
    0.29-0.38
    0.37
    0.00
    0.64
    0.17
    0.58-0.67
    0.20
    0.62-0.92
    0.21
    0.28-0.67
    1.28
    0
    0
    0.11-0.19
    0.08-0.15
    0.88
    0.17-0.23
    0.06-0.11
    0.54-0.60
    Froude
    Number
    2.2
    0.4
    1.0
    2.2
    0.5
    9.0
    8.9
    9.8
    17.3
    4.2
    10.2
    6.9
    3.6
    5.9
    0.8
    1.0
    0.7
    19.3
    2.4
    0.3
    64.6
    3.0
    13.2
    10.3
    4.4
    9.5
    15.0
    2.6
    Ah/h ^ 0.2?
    Yes
    Yes
    Yes
    Yes
    Yes
    No
    Possible
    Yes
    Possible
    Yes
    Yes
    No
    Yes
    No
    Yes
    Yes
    Yes
    Yes
    Yes
    Yes
    No
    No
    No
    No
    Yes
    Possible
    No
    Yes
                                G-7
    

    -------
    rise.  For the 17 trials with significant rise, use of the correction factor
    f would have significantly underestimated the plume stabilization height and
    hence would have overestimated the maximum ground-level concentration.  Of
    the 17 trials with significant rise, 11 (65 percent) had Froude numbers less
    than 3.0.  The cases of significant rise with Froude numbers greater than
    3.0 are Trials 20a, 21c, 22b, 27b, 36 and 45c.  Because Trials 20a, 21c, 22b
    and 45c are based on observations of plumes from the same facility, they may
    reflect local meteorological and/or topographical influences on plume behavior.
    Local influences may also have affected Trials 27b and 36.
    
              The results shown in Table G-3 indicate that the correction factor
    f defined by Equation (G-2) may not be required for stacks with Froude numbers
    less than about 3.0.  Consequently, we used the Bringfelt (1968) data to
    test this hypothesis.  First, we used the unmodified Briggs plume-rise equa-
    tions to calculate plume rise for each trial.  Second, we applied the modi-
    fied Briggs equations used by SHORTZ and LONGZ to those trials for which the
    Froude number Fr was greater than or equal to 3.0.  Table G-4 lists, for each
    trial, the calculated and observed plume rises.  We point out that some sub-
    jective judgments were required in selecting the observed plume rises.  In
    general, the observed plume rise was set equal to the highest observed plume
    height based on five or more observations.  The trials in Table G-4 may be
    divided into two sets: trials without exit-velocity effects (w/u > 1.5 and/or
    Fr < 3.0) and trials assumed to have exit-velocity effects (w/u < 1.5 and
    Fr > 3.0).  The correlation coefficient and root-mean square (rms) error are
    given in Table G-5 for each set and for the combined data.  Table G-5 shows
    that the unmodified Briggs equations fail when downwash effects apply.  If
    the correction factor f is used in plume rise calculations for these trials,
    the correspondence between calculated and observed plume rises is essentially
    the same as obtained for the trials without exit velocity effects.  For all
    trials, use of the modified Briggs equations  (where f is applied only if
    Fr £ 3.0) slightly improves the correlation and decreases the rms error.
                                         G-8
    

    -------
                                     TABLE G-4
                        CALCULATED AND OBSERVED PLUME  RISES
    Trial
    3
    4
    6
    7
    8
    9
    lOa*
    lOb*
    lla*
    lib
    12a*
    12b
    13
    14
    15
    16a
    16b
    18
    19
    20a*
    2 Ob
    20c*
    21a
    21b
    21c*
    22a*
    22b*
    23
    24a*
    24b*
    Observed Plume
    Rise (m)
    50
    30
    81
    80
    115
    242
    20
    40
    15
    48
    22
    61
    63
    33
    59
    23
    67
    105
    113
    53
    27
    26
    64
    53
    26
    63
    33
    63
    29
    7
    Calculated Plume Rise (m)
    Briggs
    65
    54
    95
    77
    95
    95
    54
    35
    62
    44
    51
    82
    67
    77
    43
    36
    49
    67
    44
    70
    95
    70
    89
    92
    38
    99
    53
    94
    94
    94
    Modified Briggs
    65
    54
    95
    77
    95
    95
    0
    30
    0
    44
    32
    82
    67
    69
    43
    36
    49
    67
    44
    0
    95
    0
    89
    92
    0
    31
    6
    94
    49
    24
    *Trials assumed to have downwash effects (w/u < 1.5  and  Fr - 3.0)
                                       G-9
    

    -------
                            TABLE G-4  (Continued)
    Trial
    24c*
    25
    26
    27a*
    27b*
    28a
    28b
    28c*
    29
    30
    31
    32a
    32b*
    32c
    33a*
    33b
    34
    35
    36*
    37
    38
    39
    40
    41
    42*
    43a*
    43b*
    44a*
    44b*
    44c*
    45a*
    45b
    45c*
    46a*
    46b
    46c*
    47a
    47b
    Observed Plume
    Rise (m)
    0
    87
    116
    99
    41
    44
    6
    11
    51
    159
    60
    36
    19
    36
    136
    14
    110
    83
    15
    64
    80
    115
    155
    77
    0
    0
    0
    25
    79
    63
    19
    35
    44
    33
    27
    10
    69
    156
    Calculated Plume Rise (m)
    Briggs
    94
    93
    93
    65
    54
    47
    36
    39
    47
    83
    74
    102
    71
    59
    60
    52
    81
    49
    62
    50
    105
    84
    124
    45
    23
    28
    34
    58
    34
    32
    84
    43
    30
    65
    39
    29
    64
    95
    Modified Briggs
    0
    93
    93
    47
    44
    47
    36
    0
    47
    83
    74
    102
    62
    59
    34
    52
    81
    49
    9
    50
    105
    84
    124
    45
    2
    0
    0
    2
    26
    29
    0
    43
    0
    0
    39
    0
    64
    95
    *Trials assumed to have downwash effects (w/u < 1.5 and Fr >3.0)
                                       G-10
    

    -------
                   TABLE G-5
    
    CORRELATION COEFFICIENTS AND RMS ERRORS
          FOR CALCULATED PLUME RISES
    Data Set
    w/u - 1.5 and/or Fr < 3.0
    w/u < 1.5 and Fr - 3.0
    Briggs
    Modified Briggs
    All Trials
    Briggs
    Modified Briggs
    Number of
    Trials
    39
    29
    
    
    68
    
    
    Correlation
    Coefficient
    0.52
    
    0.05
    0.42
    
    0.44
    0.63
    RMS Error
    (m)
    39.6
    
    43.7
    35.7
    
    41.4
    38.0
                      G-ll
    

    -------
              The analysis of the Bringfelt (1968) data described above indicates
    that the correction factor f should not be applied to stacks with Froude
    numbers less than about 3.0.  However, in subsequent studies we have found
    some stacks with Froude numbers in the range of about 1.0 to 3.0 that appear
    to exhibit downwash effects when'the wind speed is greater than or equal to
    the exit velocites.  Although we have found no evidence of downwash effects
    for stacks with Froude numbers less than unity, we have no basis for predic-
    ting in advance whether or not the plume from a stack with a Froude number
    in the range 1.0 to 3.0 is subject to downwash effects.
    
               In summary,  the downwash correction  factor f, which  is used  to
    modify the Briggs plume rise equations in the SHORTZ and LONGZ programs, is
    based on a combination of visual observations of plume behavior, the results
    of wind-tunnel studies reported by Briggs (1973), comparisons of concurrent
    calculated and observed short-term and long-term ground-level SO  concentra-
    tions in Lansing, Allegheny County and elsewhere, analyses of the Bringfelt
    (1968) plume rise data, and limited comparisons of calculated and observed
    plume rises for two coal-fired power plants (see Bowers and Cramer, 1976).
    We recognize that objections can "be raised about the correction factor f
    because it is a semi-empirical correction that does not explicitly consider
    the physics of the downwash process.   However, we point out that current
    Gaussian dispersion models  are  also semi-empirical.  On the basis  of the
    modeling studies performed by the H.  E. Cramer Company during the last seven
    years, we believe that use of the correction factor f is warranted for stacks
    with Froude numbers greater than about 3.0.  The correction factor f probably
    should not be used for a stack with a Froude number less than 3.0 unless
    observations of the plume's behavior indicate that the correction factor is
    applicable.  (The SHORTZ or LONGZ user may delete the downwash correction for
    a stack by entering the stacks radius as zero.)
                                         G-12
    

    -------
                                    REFERENCES
    American Society of Mechanical Engineers, 1973:  Recommended guide for the
         prediction of the dispersion of airborne effluents, Second Edition.
         ASME Air Pollution Control Division, New York, N. Y.
    
    Bowers, J.  F. and H. E. Cramer, 1976:  Comparison of calculated and observed
         characteristics of plumes from two coal-fired power plants located
         in complex terrain.  Preprint Volume for the Third Symposium on Atmos-
         pheric Turbulence, Diffusion and Air Quality, American Meteorological
         Society, Boston, Mass.
    
    Briggs, G.  A., 1969:  Plume Rise.  Available as TID-25075 from Clearinghouse
         for Federal Scientific and Technical Information, Springfield, Va., 80.
    
    Briggs, G.  A., 1970: Some recent analyses of plume rise observations.  Paper
         ME-8E presented at the Second International Clear Air Congress,
         Washington, D. C., December 6-11, 1970.
    
    Briggs, G.  A., 1971:  Some recent analyses of plume rise observations.  In
         Proceedings of the Second International Clear Air Congress, Academic
         Press, New York.
    
    Briggs, G.  A., 1972: Chimney plumes in neutral and stable surroundings.
         Atm. Env., 6(7), 507-510.
    
    Briggs, G.  A., 1973: Diffusion estimates for small emissions. ATDL Contribu-
         tion File No.  (Draft) 79, Air Resources Atmospheric Turbulence and
         Diffusion Laboratories, Oak Ridge, Tennessee.
    
    Bringfelt,  B., 1968:  Plume rise measurements at industrial chimneys.
         Atmospheric Environment, J2(6), 575-598.
    
    Fay, J. A., M. Escudier and D. P. Hoult, 1970:  A correlation of field
         observations of plume rise.   Journal of the Air Pollution Control
         Association, 20(6), 391-397.
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                                    APPENDIX H
               DEVELOPMENT AND TESTING OF THE CRAMER, ET AL. (1975)
                         COMPLEX TERRAIN DISPERSION MODELS
    H.1       INTRODUCTION
    
              One of the most important and difficult problems facing air pol-
    lution meteorologists is the prediction of the air quality impact of stack
    emissions in complex terrain.  In the absence of detailed observations of
    plume behavior in complex terrain, many hypotheses about plume behavior
    were incorporated in short-term and long-term Gaussian dispersion models
    during the early 1970's.  However, subsequent field experiments and moni-
    toring programs intended to test these hypotheses (for example, Start,
    et al. , 1974) were either inconclusive or indicated that the hypotheses
    were invalid.  During 1974 and early 1975, we conducted a detailed study
    for the U. S. Environmental Protection Agency (EPA) Region III of the air
    quality impact of SO^ emissions from the major stationary sources located
    in and adjacent to Allegheny County, Pennsylvania.  On the basis of previous
    data from other sources located in complex terrain and a detailed examination
    of concurrent meteorological, emissions and air quality data for Allegheny
    County, we proposed a new set of procedures for calculating ground-level
    concentrations in complex terrain (Cramer, Geary and Bowers, 1975).  The
    resulting short-term and long-term dispersion models yielded an excellent
    correspondence between calculated and observed SO. concentrations in Al-
    legheny County without recourse to calibration constants that scale cal-
    culated concentrations to match observed air quality.  More recent data
    have provided additional support for these models.  This appendix discusses
    the development and testing of the Cramer, et al. (1975) terrain-adjustment
    procedures, which are contained in the SHORTZ and LONGZ computer programs.
                                        H-l
    

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               tODEL CONCEPTS
    
                >.e three basic concepts of the terrain-adjustment procedures
                SHORTZ and LONGZ programs are:
    
              1.  The top of the surface mixing layer in complex terrain
                  may be assumed to be at a constant height above mean
                  sea level.
    
              2.  A plume must be contained within the surface mixing layer
                  if it is to cause significant ground-level concentrations
                  at any point, including terrain elevations that are above
                  the top of the surface mixing layer.
    
              3.  The axis of a plume contained within the surface mixing
                  layer remains at the plume stabilization height above
                  mean sea level, and the plume may impact elevated terrain
                  within the surface mixing layer under stable, neutral or
                  unstable conditions.  (The term "plume axis" as used in
                  this appendix refers to the height of the maximum concen-
                  tration within the plume after it has stabilized and before
                  reflection from the ground surface or the top of the sur-
                  face mixing layer affects the height of the maximum concen-
                  tration. )
    
              The first model concept is principally based on our observations
    of the behavior of highly-visible plumes from the 122-meter stacks of a
    copper smelter located at the northern end of the Oquirrh Mountains in Utah.
    (The 122-meter stacks have been replaced by a new 380-meter stack.)  During
    periods when the top of the surface mixing layer was below the ridge-line,
    the smelter's emissions were trapped within the mixing layer and did not
    affect the terrain above the top of the surface mixing layer.   Start, et al.
    (1976) also found the top of the mixing layer to be at a constant height
    above mean sea level during periods when the top of the mixing layer was
                                       H-2
    

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    above the ridgeline.  Observations of visible air pollutants in areas such
    as the Los Angeles basin provide additional support for the first model
    concept.
    
              The second model concept is based on both empirical and theo-
    retical evidence.  For example, during the well-known Trail, British Columbia
    study (Hewson and Gill, 1944), high SO- concentrations were measured in a
    stable layer above the valley floor, but only low concentrations were measured
    at the valley sides.  Similarly, a numerical model developed by Roffman and
    Grimble (1974) yields calculated concentrations at the surface for plumes
    passing over elevated terrain under neutral or unstable conditions that are
    10  times higher than the concentrations calculated at the surface under
    stable conditions, indicating that a plume contained in an elevated stable
    layer does no significantly affect ground-level concentrations.
    
              The third model concept, which is empirical, evolved during the
    Allegheny County S0~ study.  Most complex terrain dispersion models in
    existence in 1974 assumed that terrain effects were important only under
    stable conditions.  Start, at _al. (1974) had reported plume impaction on
    elevated terrain under neutral and unstable conditions, but the impactions
    were reported as being transient.  However, visual observations of the
    plumes from the West Penn Power Plant in the Springdale-Logans Ferry area
    of Allegheny County indicated that the plumes directly impacted the hill on
    which the monitor is located during periods of moderate-to-strong west-
    southwest winds.  The only additional major S0~ source upwind from the
    Logans Ferry monitor during periods of west-southwest winds was the Cheswick
    Power Plant.  Thus, the combination of visual observations of the behavior
    of the West Penn Plant's plumes, the observed air quality data and the
    relative isolation with west-southwest winds of the Logans Ferry monitor
    from S0_ sources other than the two power plants resulted in ideal con-
    ditions for model testing.  The 3-hour and 24-hour average SO  concentra-
    tions calculated for the air pollution episode at Logans Ferry on 4 January
    1973 were far below the observed concentrations unless it was assumed
                                       H-3
    

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    the plumes directly impacted the hill.  Consequently, the third model
    concept was incorporated in the SHORTZ and LONGZ programs for use in the
    Allegheny County SCL study.  The results of the historical calculations for
    Allegheny County are given in Section H.3.  The 4 January 1973 air pollution
    episode at Logans Ferry is also the SHORTZ example problem discussed in
    Section 2.6 and Appendix C.
    H.3       MODEL TESTING
    
              The terrain-adjustment procedures contained in the SHORTZ and
    LONGZ programs have been tested as part of a number of air quality modeling
    studies during the last seven years.  In many cases, the detailed
    emissions, meteorological and air quality data required for quantitative
    model testing were not available.  However, the results of the model
    calculations for these cases were consistent with observed air quality and
    tended qualitatively to confirm the basic modeling approach.  In several
    other studies, concurrent emissions, meteorological and air quality data
    were available for detailed model testing.  These studies include the
    Allegheny County S09 study (Cramer, .et^ jil. » 1975 and Cramer, et al. ,
    1976b), the ASARCO-Tacoma copper smelter study (Cramer, ^t _al_. , 1976a;
    Cramer, e_t _al., 1977 and Wilson, et _al., 1977), the West Virginia power
    plant study (Cramer and Bowers, 1976 and Bowers and Cramer, 1976) and the
    Port Angeles, Washington SO  study (Bowers, _et al., 1980).  Additionally,
    the SHORTZ program was used with historical meteorological data to predict
    the magnitude and location of the maximum 24-hour average SO- concentration
    attributable to emissions from the West Penn Power Company Mitchell Power
    Plant as well as the meteorological conditions causing this maximum
    concentration (U. S. versus West Penn Power, 1978).  Each of these studies
    is briefly discussed in the following paragraphs.  We point out that the
                                                *
    question of what specific measures of performance should be applied in
    testing atmospheric dispersion models is a current major topic of
    discussion (for example, Fox, 1981).  The measures of performance used in
    the following paragraphs are the measures that were used in the original
    reports and papers which presented the results of the various studies.
                                       H-4
    

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                 Allegheny County S00 Study (Cramer, et al., 1975)
                   '         •_..-...     ^f     --    --• T        ....._
    
              Table H-l summarizes the results of our dispersion model calcula-
    tions of short-term average ground-level S00 concentrations produced by 107
    major sources and source complexes located in and adjacent to Allegheny
    County, Pennsylvania.  The concentrations in Table H-l were calculated dir-
    ectly from concurrent emissions and meteorological data and were not adjusted
    by means of any calibration constants that scale the model concentrations
    to match observed air quality.  (The 3-hour and 24-hour average concentra-
    tions were calculated by SHORTZ, while the annual average concentrations
    were calculated by LONGZ.)  On the average,  the calculated maximum 3-hour
    concentrations are about 14 percent higher than the observed concentrations,
    the 24-hour average concentrations are 83 percent of the observed concentra-
    tions and the annual average concentrations are 92 percent of the observed
    concentrations.  Finkelstein (1976) also compared the results of the short-
    term model calculations with the results of wind-tunnel simulations of var-
    ious sources in the Clairton area of Allegheny County and concluded that
    "the agreement between the two studies is surprisingly and reassurringly
    close."
                  ASARCO-Tacoma Smelter Study  (Cramer, et al. , 1976a)
    
              Our study for EPA of the air quality  impact of  SO  emissions from
     the ASARCO-Tacoma copper smelter  (Cramer,  Bowers and Geary, 1976a)  also
     provided insight into plume behavior in complex terrain.  Although  the
     minimum stack height to terrain height ratio for the locations of the air
     quality monitors is 1.7, failure  to include terrain adjustments in  the model
     calculations would have caused significant underpredictions of the  observed
     S0~ concentrations in the Tacoma  area.  The SO  monitoring networks operated
     by the ASARCO smelter and the Puget Sound Air Pollution Control Agency
     (PSAPCA) are sufficiently dense that the ASARCO plume was simultaneously
     detected by two or more S02 monitors during a number of cases that we studied.
                                        H-5
    

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                                    TABLE H-l
    
                   COMPARISON OF CALCULATED AND OBSERVED 1973
                        GROUND-LEVEL S02 CONCENTRATIONS
                              IN ALLEGHENY COUNTY*
    
    Case
    
    
    Monitor
    Location
    (
    S02 Concentrations
    (yg/m3)
    Calculated
    Observed
    
    Calculated Concentration
    Observed Concentration
    
    (a) 3-Hour Maximum Concentration
    4 January 1973
    18 January 1973
    18 January 1973
    13 July 1973
    13 July 1973
    Logans Ferry
    Glassport
    Liberty Borough
    Glassport
    Liberty Borough
    2,207
    375
    717
    496
    1,204
    1,880
    300
    1,305
    395
    820
    Mean Ratio
    1.17
    1.25
    0.55
    1.26
    1.47
    1.14
    (b) 24-Hour Average Concentration
    4 January 1973
    18 January 1973
    18 January 1973
    13 July 1973
    13 July 1973
    Logans Ferry
    Glassport
    Liberty Borough
    Glassport
    Liberty Borough
    979
    186
    268
    101
    258
    891
    153
    647
    139
    361
    Mean Ratio
    1.10
    1.22
    0.41
    0.73
    0.71
    0.83
    (c) Annual Average Concentration
    1973
    1973
    1973
    Glassport
    Liberty Borough
    Hazelwood
    80
    116
    86
    79
    139
    92
    Mean Ratio
    1.01
    0.83
    0.93
    0.92
    *Based on data given by Cramer, Geary and Bowers (1975)
                                       H-6
    

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    For these cases, it was possible to refine the observed surface wind direc-
    tion and to accurately position the plume with respect to the monitoring
    network in the SHORTZ calculations.  Table H-2 shows a comparison of calcu-
    lated and observed hourly SO. concentrations for the cases when the observed
    concentrations exceeded the PSAPCA hourly ambient air quality standard of
    0.25 parts per million (ppm).  The average of the ratios of individual cal-
    culated and observed concentrations is unity which indicates that the model
    calculations do not contain any systematic errors.  Differences between
    individual calculated and observed concentrations were found to be princi-
    pally explained by random errors in the meteorological and source inputs as
    well as by uncertainties in the air quality data (see Cramer, et_ al_. , 1977).
    For example, the smelter uses a Supplementary Control System (SCS) that
    reduces SCL emissions by as much as a factor of ten when high ground-level
    concentrations are anticipated or observed.  It was therefore frequently
    difficult to obtain accurate estimates of the effective hourly emission
    rates.
    
              Comparisons of calculated and observed annual average ground-level
    SCL concentrations were complicated in the ASARCO-Tacoma smelter study be-
    cause all of the observed concentrations are below the threshold and accur-
    acy of the monitors of about 0.01 ppm.  However, with one exception, all of
    the annual SO  concentrations calculated by LONGZ for 1972 are within the
    range of error assigned to the observed concentrations (plus or minus one-
    half the accuracy and threshold of the monitors).  The single exception is
    the smelter's monitor at N. 26th and Pearl where the observed annual concen-
    tration is more than three times larger than the annual concentration meas-
    ured by the PSAPCA monitor also located at N. 26th and Pearl (see Wilson,
    e± al., 1977).
    
            West Virginia Power Plant Study (Cramer and Bowers, 1976a)
    
              The Kammer and Mitchell Power Plants are located on the east side
    of the Ohio River Valley in Marshall County, West Virginia.  The valley width
    varies from 1 to 2 kilometers, and terrain elevations on both sides of the
    
                                       H-7
    

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                                    TABLE H-2
    
               COMPARISON OF CALCULATED AND OBSERVED S02 CONCENTRATIONS
                  FOR CASES WHEN THE OBSERVED HOURLY CONCENTRATION
                   EXCEEDED 0.25 PPM (FROM CRAMER,  ET AL.,  1976a)
    Case
    No.
    2
    
    
    3
    4
    
    6
    
    7
    8
    
    9
    
    10
    12
    13
    
    
    
    
    
    14
    
    19
    
    
    Monitor
    N26th and Pearl
    Reservoir
    Highlands
    ^26 and Pearl
    N26th and Pearl
    Reservoir
    N26tjj and Pearl
    N26 and Pearl
    N26th and Pearl
    N26th and Pearl
    Reservoir
    N26 , and Pearl
    N26 and Pearl
    N26th and Pearl
    McMicken Heights
    Meeker
    Meeker-Brown
    Meeker
    Meeker-Brown
    Meeker
    Meeker-Brown
    McMicken Heights
    Tukwila
    N26t and Pearl
    Reservoir
    N26th and Pearl
    Observed
    Concentration*
    (ppm)
    (1.23)
    0.27
    0.73
    0.40 (0.46)
    0.56 (0.68)
    0.62
    0.30 (0.22)
    0.26 (0.26)
    0.60 (0.46)
    0.32 (0.21)
    0.37
    0.37 (0.67)
    0.31 (0.21)
    0.25 (0.25)
    0.50
    0.28
    0.31
    0.38
    0.42
    0.59
    0.49
    0.30
    0.41
    0.42 (0.35)
    0.50
    0.27 (0.17)
    Calculated
    Concentration
    (ppm)
    0.88
    0.04
    0.44
    0.25
    0.61
    0.64
    0.30
    0.23
    0.26
    0.44
    0.39
    0.64
    0.11
    0.34
    0.52
    0.28
    0.35
    0.42
    0.50
    0.56
    0.53
    0.09
    0.10
    0.87
    1.00
    0.10
    Mean Ratio
    Ratio of
    Calculated and
    Observed
    Concentrations**
    (0.72)
    0.15
    0.60
    0.63 (0.54)
    1.09 (0.90)
    1.03
    1.00 (1.36)
    0.88 (0.88)
    0.43 (0.57)
    1.38 (2.10)
    1.05
    1.73 (0.96)
    0.35 (0.52)
    1.36 (1.36)
    1.04
    1.00
    1.13
    1.11
    1.19
    0.95
    1.08
    0.33
    0.24
    2.07 (2.49)
    2.00
    0.37 (0.59)
    0.97 (1.00)
     *Numbers enclosed by parentheses are concentrations measured by the ASARCO
      S02 monitor at N26th and Pearl.
    **Numbers enclosed by parentheses are the ratios of calculated and observed
      concentrations for the ASARCO monitor at N26th and Pearl.
                                        H-8
    

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    river range from 100 to 200 meters above the valley floor.  The Mitchell
    Power Plant has a single 365-meter stack that is one of the tallest in the
    United States.  The Rammer Power Plant has two 183-meter stacks that extend
    to about the same height as the terrain on either side of the river valley.
    The heat content of the Kammer No. 1 stack is about double that of the
    Rammer No. 2 stack.  During the period August-September 1975, the EPA
    Environmental Monitoring and Support Laboratory (Las Vegas, Nevada) made
    airborne measurements of SO- concentrations downwind from the two power plants.
    We used concurrent meteorological and emissions data with our short-term
    dispersion model, modified to contain the generalized form of the Vertical
    Term (i.e., modified to enable concentration calculations at points above
    the surface), to calculate the plume characteristics for comparison with the
    EMSL measurements.   The following discussion is principally taken from a
    paper by Bowers and Cramer (1976).
    
              The observed plume rise for each stack was determined for each
    trial by subtracting the stack height from the height of the corresponding
    maximum observed S0~ concentration at the closest downwind distance at which
    aircraft measurements were made.   This measurement distance was always
    greater than the calculated plume stabilization distance and was also
    frequently at a distance where the plume from the Rammer No. 2 stack was
    significantly affected by reflection from the ground.  In these cases, the
    height of the maximum observed SO- concentration for the Rammer No. 2 plume
    should be lower than the plume stabilization height because reflection from
    the ground decreases'the height of the maximum concentration and eventually
    brings it to the ground surface.   Reflection from the bases of elevated
    inversions at the top of the surface mixing layer also affected the observed
    S0? concentrations  in some of the trials, but this effect was generally
    small in comparison with the effect of ground reflection.  Interaction of
    the Rammer No. 1 and No. 2 plumes additionally affected the observed
    maximum concentrations and introduced other uncertainties in the determination
    of the observed plume rises from the aircraft measurements.
                                       H-9
    

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              Table H-3 shows the observed plume rises determined from the air-
    craft measurements and the corresponding calculated plume rises.  For the
    reasons given above, we believe that the observed plume rises for the Kammer
    No. 2 stack generally underestimate the actual plume rises and have indicated
    this qualification by quotation marks.  In Trials 10 and 11, the heat contents
    and S0~ emissions for both Kammer plumes were nearly identical and the air-
    craft observations for each trial showed a single merged plume.  The predicted
    plume rises in Table H-3 are in good agreement with the observations for
    Mitchell and Kammer No. 1.  In every case, the plume rise calculated for
    Kammer No. 2 exceeds the "observed" plume rise.  As explained above, this
    result was expected because of the interaction of this plume with the terrain
    at the distance of the aircraft measurements.
    
              Table H-4 presents the calculated and observed axial SO. concentra-
    tions.  Heights 1 and 2 in the table are the heights of the two highest
    measured concentrations and refer either to the two Kammer plumes individually,
    or to a single merged Kammer plume and the Mitchell plume.  Downwind Distance
    1 in the table varies from about 3.7 to 11 kilometers and Downwind Distance 2
    varies from about 7.4 to 18.5 kilometers.  As discussed above, the heights
    of the two highest observed concentrations do not necessarily correspond to
    the actual plume stabilization heights because of the effects of reflection
    and interaction of superposed plumes.  The calculated axial concentrations are
    the concentrations calculated by means of the short-term dispersion model
    equations at the heights of the highest concentrations measured by EMSL,
    using the Briggs plume rise formulas in Section 2.2 to obtain plume stabili-
    zation heights.  The calculated axial concentrations thus include the effects
    of reflection and the combined contributions of the two Kammer plumes plus,
    where appropriate, the contribution of the Mitchell plume.
    
              Table H-4 shows that the model estimates of axial concentrations
    are, on the average, approximately 21 percent larger than the observed axial
    concentrations at Downwind Distance 1.  This could be due to the fact that
    the observed concentrations have not been adequately adjusted for the response
    time of the SO™ instrument in the helicopter.  Also, the Mitchell plume
                                       H-10
    

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                              TABLE H-3
    
            CALCULATED AND OBSERVED PLUME RISES FOR THE
                  MITCHELL AND KAMMER POWER PLANTS
                   (FROM BOWERS AND CRAMER, 1976)
    Trial
    Number
    I
    3
    5
    6
    7
    8
    10
    11
    12
    13
    15
    16
    
    Mitchell Plume
    Rise (m)
    0
    186
    338
    -
    -
    -
    369
    -
    348
    217
    308
    400
    140
    C
    176
    270
    -
    -
    -
    347
    -
    345
    253
    308
    401
    200
    C/0
    0.95
    0.80
    -
    -
    -
    -.94
    -
    0.99
    1.17
    1.00
    1.00
    1.43
    Mean Ratio 1.04
    Kammer No. 1
    Plume Rise (m)
    0
    _
    412
    839
    291
    412
    534
    321
    412
    351
    229
    473
    214
    C
    _
    486
    602
    262
    420
    668
    324
    413
    386
    245
    316
    172
    C/0
    _
    1.18
    0.72
    0.90
    1.02
    1.25
    1.01
    1.00
    1.10
    1.07
    0.67
    0.80
    Mean Ratio 0.97
    Kammer No. 2
    Plume Rise (m)
    "0"
    _
    230
    382
    -
    230
    458
    321
    412
    -
    -
    229
    —
    C
    _
    391
    478
    -
    319
    534
    337
    427
    -
    -
    241
    —
    C/"0"
    _
    1.70
    1.25
    -
    1.39
    1.17
    1.05
    1.04
    -
    -
    1.05
    —
    Mean Ratio 1.24
      0 = Observed Plume Rise
      C = Calculated Plume Rise
    0/C = Ratio of Calculated and Observed Plume Rise
                                H-ll
    

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