MRI69 FR-890
                  FINAL REPORT
       P1RTICUUTE EMISSIONS. PLUME
          RISE, AM DIFFUSION FROM
                A TILL STICK
        VOLUME  I  TECHNICAL REPORT
                       by
                 Brand L. Niemann
                 Margaret C.  Day
              Paul B. MacCready, Jr.
                       to

              Meteorology Division
  National Air Pollution Control  Administration
U. S. Department of Health, Education, and Welfare
                 Durham,  N.  C.
            Contract CPA 22-69-20
             Meteorology Research, Inc.
             464 West Woodburv Road
             Altadena, California 91001
                  January 1970

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                                                                     EM
                                   Final Report

                                        on
                        PARTICULATE EMISSIONS, PLUME

                           RISE, AND DIFFUSION FROM

                                 A TALL STACK

                         VOLUME I.  TECHNICAL REPORT
  V,

  °fc                                     to

  \_                            Meteorology Division
                    National Air Pollution Control Administration
                U. S. Department of Health,  Education, and Welfare
                                  Durham, N. C.

 %                           Contract CPA 22-69-20
                                        by
                                Brand L.  Niemann
                                 Margaret C.  Day
                              Paul B.  MacCready, Jr.
                            Meteorology Research, Inc.
                             464 West Wnodbury Road
                            Altadena,  California 91001
                                   January 1970


        MRI69 FR-890
*

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FOREWORD

      The work was carried out as part of the Large Power Plant
Effluent Study (LAPPES) conducted by the National Air Pollution  Control
Administration.  Sponsorship was by NAPCA under Contract CPA 22-
69-20 and modifications.

      We wish to acknowledge the help of NAPCA personnel in carrying
out this program, specifically Mr. Frank Schiermeier, LAPPES Field
Manager, and Mr.  Larry Niemeyer and Mr.  Charles Hosier of the
Division of Meteorology.

      Many MRI personnel have been involved in the  work, in addition to
the primary authors.  Dr.  Theodore B. Smith contributed to the evaluation
and writeup.  Mr. Robin Williamson was in charge of the  flight operations
and served as pilot.  Mr. Alan Miller was flight observer and handled
the instrumentation.  Mr.  David Leavengood was field project manager.
Mrs.  Ruby Wen and Mr. Gary Korell were responsible for the computer
programming.  Mr. William Green was very helpful in the particle
analysis, as was  Dr. Betty Behl.

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SUMMARY

       The  primary MRI field  role on the LAPPES I experiment at the
Keystone Power Plant in Pennsylvania, October 1968, was to make
airborne measurements of the environment and of plume  characteristics.
The special measurements were those of turbulence, taken with a
Universal Indicated Turbulence System (UITS)  and particles collected
with a Moving Slide Impactor.  In addition to the aircraft flights, MRI
made sequential photographs  of the plume from a camera on the ground.

       The  resulting data have been reduced and are presented in
computer printout and computer plots in two extensive companion volumes
The data reduction techniques are  described here,  and samples  of the
data are given.

       This volume also contains a brief evaluation of much of the data.
The results of the particulate measurements are somewhat ambiguous .
The environmental variability was large, and tended to obscure  the
superimposed plume  characteristics.  A scanning electron beam micro-
scope gave the most definitive results.

       The  aircraft-derived data and photogrammetric data on plume
rise and diffusion have been evaluated with two main aims in mind:
(1) to ascertain the usefulness of the turbulence system for diffusion
studies, and (2) to compare the observations with standard plume rise
and diffusion theory.  It must be recognized that on this   brief and
limited field program it was not possible to develop and apply rigorous
techniques throughout and so  the conclusions cannot be based on the
desired statistical significance.

       The  UITS was very useful in delineating the height of the layer
throughout which the  environmental mixing would eventually spread the
plume.  This height was  sometimes appreciably greater  than might have
been inferred merely from noting stable regimes from temperature
soundings.  The plume would usually rise still higher from its own
buoyancy and momentum. The plume diffusion even into the area of
fumigation appeared dominated by its own  initial turbulent energy, rather
than by environmental turbulence.  The aircraft flights did not provide
data in this  early  stage of plume growth, so there was no opportunity
to relate this diffusion quantitatively to theory. For subsequent
regions, the aircraft UITS data were evaluated to give effective  ver-
tical exchange coefficients by the technique of  relating the exchange
coefficient to the observed small-scale energy multiplied by the four-
thirds power of a  dominant eddy scale.   On the cases available  for photo-
grammetric evaluation in this fumigation region, which started at a
                                 11

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distance of about 1 km, the cloud generally filled the mixing layer and
so rate information could not be ascertained for comparison with the ex-
change coefficients .  The UITS data were also used to estimate surface
shear  and  roughness; the technique shows  promise, but requires the
use of flight trajectories established specifically for this purpose if
statistical significance is to be obtained.

        The aircraft and photogrammetric  data on plume rise were com-
pared with standard prediction methods.  It was found that the  plume rise
followed a power law with an exponent somewhat less than  the 0.67 often
suggested.  The observations were fitted to a ground concentration prediction
equation, and the  resulting predictions of SC>2 concentration at the ground
were compared with observations.   The data available on this program
were not suitable  for quantitative study of  the lateral spread of the cloud.
                              111

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                     TABLE OF CONTENTS

                                                               Page
FOREWORD                                                       i

SUMMARY                                                        ii

   I. INTRODUCTION                                              1

  II. FIELD PROGRAM DESIGN AND INSTRUMENTATION           3

 III. ESTIMATING  TO AND z0                                   11

 IV. THE DECAY OF THE TURBULENCE IN THE PLUME          16

  V. PARTICULATE MEASUREMENTS                            19

 VI. METEOROLOGICAL ENVIRONMENT AND THE
     TALL STACK PLUME                                       33

 VII. PLUME  RISE AND DIFFUSION                               51

Vin. PRELIMINARY COMPARISON OF MODEL PREDICTIONS
     AND OBSERVATIONS                                        66

 IX. CONCLUSIONS AND RECOMMENDATIONS                    72

REFERENCES                                                   74
Appendix A,   QUANTITATIVE PLUME DATA FROM GROUND
              PHOTOGRAPHS

Appendix B.   INDEX TO TYPE AND DATE OF DATA RUNS

Appendix C.   STATISTICAL SUMMARY OF MRI AIRCRAFT,
              ALTITUDE,  AND TURBULENCE DATA
                               IV

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                     LIST OF ILLUSTRATIONS

Figure
   1     INSTRUMENTED AZTEC  C                                6

   2     MOUNTING OF THE MSI IN THE AZTEC                     8

   3     STACK PRECIPITATE                                    21

   4     DISTRIBUTION CURVES STACK PRECIPITATE,  FLY
        ASH, AND THE ENVIRONMENT                           22

   5     LIGHT SCATTERING PLOT                               24

   6     SLIDE #4-18, BLACK FIELD PHOTO-MICROSCOPY         26

   7     SLIDE #4-18, STEREOSCAN ELECTRON  MICROSCOPE      27

   8     SLIDE #11-16, STEREOSCAN OF AMBIENT AJR             29

   9     SLIDE #4-18, ADDITIONAL STEREOSCAN PHOTOS          30

  10     NAPCA PIBAL WIND PROFILE AT KEYSTONE POWER
        STATION  (0900 EDT -  17 Oct 1968)                        35

  11     NAPCA PIBAL WIND PROFILE AT KEYSTONE POWER
        STATION  (1000 EDT -  17 Oct  1968)                       36

  12     NAPCA PIBAL WIND PROFILE AT KEYSTONE POWER
        STATION (1200 EDT - 17  Oct 1968)                        37
  13     METEOROLOGICAL ENVIRONMENT FOR PHOTO
        PERIODS  1 AND 2                                       39

  14     METEOROLOGICAL, ENVIRONMENT FOR PuOTO
        PERIOD 3                                               40

  15     METEOROLOGICAL ENVIRONMENT FOR PHOTO           41
        PERIOD 4

  16     METEOROLOGICAL ENVIRONMENT i OR PHOTO
        PERIOD 5                                               43

  17     METEOROLOGICAL ENVIRONMENT FOR PHOTO
        PERIOD 6                                               44
                                v

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                LIST OF ILLUSTRATIONS  (continued)

Figure                                                        Page
  18     METEOROLOGICAL ENVIRONMENT FOR PHOTO
        PERIOD  7                                               46

  19     10-MILE TERRAIN-FOLLOWING RUN DOWNWIND
        FROM CONEMAUGH STACKS                             48

  20     NON-DIMENSIONAL PLUME RISE (TOP AND MEAN
        CENTER LINE) FOR PHOTO PERIOD NUMBER 3            52

  21     NON-DIMENSIONAL PLUME RISE (TOP  AND MEAN
        CENTER LINE) FOR PHOTO PERIOD NUMBER  4            53

  22     NON-DIMENSIONAL PLUME RISE (TOP AND MEAN
        CENTER LINE) FOR PHOTO PERIOD NUMBER 5            54

  23     NON-DIMENSIONAL PLUME RISE (TOP AND MEAN
        CENTER LINE) FOR PHOTO  PERIOD NUMBER  6            55

  24     NON-DIMENSIONAL PLUME RISE (TOP AND MEAN
        CENTER LINE) FOR PHOTO PERIOD NUMBER 7            56

  25     CENTERLINE GROWTH ABOVE STACK TOP               58

  26     CENTERLINE GROWTH ABOVE STACK TOP               58

  27     CLOUD GROWTH CHARACTERISTICS, PHOTO
        PERIOD NO.  3                                           66

  28     CLOUD GROWTH CHARACTERISTICS, PHOTO
        PERIOD NO.  4                                           67

  29     SO2 GROUND LEVEL CONCENTRATIONS,  PHOTO
        PERIOD NO.  3                                           69

  30     SO2 GROUND LEVEL CONCENTRATIONS,  PHOTO
        PERIOD NO.  4                                           70
                                VI

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I.      INTRODUCTION

        NAPCA has a strong interest in studying the usefulness  of large
stacks for minimizing high pollution levels.  The Large Power Plant
Effluent Study  (LAPPES) is a coordinated program involving NAPCA
personnel and  contractors to study the subject, using for experimental
purposes the plume from the 245-meter high stack at the Keystone
Generating Station in western Pennsylvania.  The  particular goal of the
program is to  refine and verify the  predictive models used to estimate
pollutant concentrations from such high  stacks.  Present models have
been tailored to data primarily from much  lower stacks, and where
complex terrain effects are not dominant.  Thus  one does not yet have
sufficient background in prediction  of concentrations from high stacks,
especially in complex terrain,  to have the desired confidence when
justifying their great expense.

        In 1968, the LAPPES  program involved two field experimental
periods.  The  MRI participation was during the second  of these,
October 15-24. The primary MRI field role was to make airborne
measurements of  the environment and of plume characteristics. One
special measurement   was of particles in the plume, to ascertain
something about the concentration and size  distribution for comparison
with the concurrent lidar observations being conducted  by SRI.  The
main other special measurement was of the turbulence  intensity, within
and outside of  the plume, using the UITS (Universal Indicated Turbulence
System). This gives a measure of e , the turbulent energy dissipation
rate, and the energy in the small-scale turbulent eddies;  e is an
important input into certain forms of diffusion evaluations.  There was
very little time to prepare  for the MRI field measurements,  oecause of
lateness of the start of the  contract  and due to prior commitments on
the use of the airplane  elsewhere immediately preceding the LAPPES
operation. Nevertheless, on  the whole the airborne measurements
yielded useful  data.  The most  significant problem was  that the  particle
evaluations  could  not be made definitive with the techniques then available
for data acquisition and evaluation.  A scanning beam electron microscope
became available  only late  in the program;  it proved to be  very  helpful.
Questions remain as to the size distributions and concentrations of the
plume  particles.

       In addition to the aircraft observations,  MRI operated a  ground
camera sequentially photographing the plumes from the side. These
pictures have been reduced to provide plots of plume sizes and  position
for comparison with theoretical predictions of plume rise, and  for
comparison of  the usefulness of the  photographic technique with the  lidar
method. The MRI role also  included a  brief assessment of the applica-
bility of various theories to these  experimental data.

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      The SRI lidar study has already been reported on completely by
Johnson and Uthe (1969).   The Sign-X Laboratory results have been
presented by Proudfit (1969).  The total MRI report consists of three
volumes.  This one,  Volume I, presents evaluations and summaries of
the data.  Volumes II and III are extensive data supplements, available
in only limited supply from NAPCA or MRI.  Volume II contains
summary listings,  codes,  and maps,  and then for each program day:

          ESSA Weather Map
          Selected Tracings of Plume Photographs and True
            Plume Profiles
          Pibal Wind Profile Plots
          MRI Aircraft Flight Track  Maps
          MRI Aircraft Data Plots

Volume III contains computer listings of aircraft data and smoke plume
photogrammetry data.

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t
II.    FIELD PROGRAM DESIGN AND INSTRUMENTATION

Th» Overall Program

      The October  1968 coordinated field observational program at the
Keystone Electric Generating Plant,  designated LAPPES I, involved
personnel and equipment from NAPCA,  SRI, Sign-X, and MRI.  A brief
summary of the total data-taking plan is given below:

Plant Engineer:

      Hourly readings of plant parameters for calculation of (1)  exit
velocity,  (2)  heat emission,  (3)  SO2  source strength, and  (4)  fly ash
quantity and composition.

Meteorologists :

      Pilot balloon launch every 30 minutes, double theodolite tracking.
      Position read every 30 seconds.

      Continuous ground level  recordings  of temperature,  barometric
      pressure, and relative humidity.

      Rabal sounding at airport at  noon  each test day.

Airborne Activities:

      Helicopter-mounted SOg sensor.

      MRI instrumented aircraft
      1.    Universal Turbulence Indicator
      2.    Moving Slide Impactor (samples particles up to 10 |_tm)
      3.    Continuous Particle  Collector (samples particles larger than
           10 (_im)
      4.    Nephelometer (measures total light  scattering of airborne
           particles and aerosols)
      5.    Stationary nose-mount of  1 6 mm time-lapse camera set for
           exposure every 2 seconds
      6.    12-channel Brush oscillograph chart recorder for  the following
           parameters:
                 digital clock time        heading
                 airspeed                temperature
                 altitude                  e (turbulence)
      7.    Meteorologist-observer with voice recorder.

Ground Activities:

      1.    Stanford Research, Inc.,  van-mounted lidar (laser radar)
           recording plume cross sections.

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      2.     35-mm single camera color photos from ground sites nearly
            normal to plume path taken at 2-minute  intervals.

      Unfortunately,  an electronic malfunction developed in the Nephelo-
meter during its operation on the way to  the site from California, and there
was insufficient time to rectify the problem in the field.  The lack of this
device hampered the program  by prohibiting us  from making direct light
scattering measurements for comparison with lidar backscattering,  and
by making it more difficult to delineate plume edges and cross-section
characteristics.

      Data on the MRI ground photography are given in Appendix A.

      The MRI flights with the instrumented Aztec C are  summarized in
Table I.   Appendix B goes into further detail,  showing how the  110 distinct
data acquisition portions  of the flights  are put into coded  categories.
Appendix C further explains the run labeling system and gives data on
altitudes and turbulence.

      The program was scheduled to take place in the fall to take advantage
of the extreme stability that occurs during a stagnant high in that area at
that time of the year.  All trials were  conducted from 15 to 22  October 1968.

Plant Description

      A map showing the  topography and locations in the Keystone vicinity
is presented in Volume II.  The topography around Keystone appears on
maps comprising Figs. 2 through 8 in Appendix A of this report.

       The Keystone Power Station is 10 miles WNW of Indiana, Pennsylvania.
Its base is at 1010 ft MSL.  The two adjacent  tall stacks are 800 ft high, or
1810  ft MSL at the top.  The two evaporative  cooling towers which were in
operation are 325 ft high.  They are about 700 ft E of the tall stacks.  The
surrounding terrain is gently rolling farmland with  trees and fields.  Homer
City  Power Station is 8-1/2 miles S of Indiana.  Ground elevation at its base
is 1280 ft MSL with 800-ft high stacks.  It is  located on a hilltop with woods
and fields surrounding it.  The Conemaugh Power Station is 17 miles SSE
of Indiana.  Its base is at 1050 ft MSL in the narrow river valley of the
Conemaugh River, with its stacks towering 1200 ft above ground.  This
valley runs roughly E-W at this point and the  valley walls extend to  over
2000  ft MSL.   The local headquarters  of the MRI operation were at Jimmy
Stewart Airport just E of Indiana.

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Flight
No. by
Date Day
15 Oct 68
16 Oct 68
17 Oct 68

17 Oct 68

18 Oct 68



20 Oct 68

20 Oct 68
20 Oct 68
21 Oct 68

21 Oct 68
22 Oct 68

22 Oct 68

1
1
1

2

1

2

1

2
3
1

2
1

2

Table I
MRJ DATA COLLECTING FLIGHTS
Flight of A/ C Strip
Entire Charts
Project Available
1
2
3

4

5

6

7

8
9
10

11
12

13

CPC and MSI Particle Collecting Flight
CPC and MSI Particle Collecting Flight
CPC and MSI Particle Collecting Flight,
some rain
CPC and MSI Particle Collecting Flight,
SRI cooperate
CPC and MSI Particle Collecting Flight,
SRI cooperate
CPC and MSI Particle Collecting Flight,
SRI cooperate
Turbulence and Temperature Flight,
CPC only
Field Mill and Turbulence Flight
Field Mill and Turbulence Flight
CPC and MSI Particle Collecting Flight,
SRI cooperate
Turbulence run only
CPC and MSI Particle Collecting Flight,
SRI cooperate
CPC and MSI Particle Collecting Flight,
SRI cooperate
X
X

X

X





X



X
X

X

X
Aircraft and Its Instrumentation

      Figure 1 shows the instrumented Aztec.  This supercharged airplane
has been used primarily in cloud physics studies.  Such studies require
particulate collections and turbulence measurements, which are important
factors  in air pollution work.  Thus this aircraft which had just come from
a cloud  physics field program was  ready,  with  slight modification,  for  the
LAPPES program.

      The main variables recorded on the Brush oscillograph were air
temperature,  pressure altitude, compass heading,  turbulence intensity
(UITS),  plus timing marks and special event marks.  The observer-operator

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recorded voice notes on a magnetic tape recorder as well as keeping some
notes on a pad.  The Integrating Nephelometer and potential gradient unit
were installed but not operated during the program.

      One particle  sampling device was the Continuous Particle Collector
(CPC).   This  is described in detail by MacCready and Todd (1964).  A
film coated with a liquid plastic is continuously moved past a slit exposed
to the ambient air on an arm extending several feet outside the side of the
nose  of the aircraft.   Particles impact on the film,  and are encapsulated
in the plastic  which hardens in a matter of seconds.  The  deposit is then
preserved for evaluation:  for viewing by projecting in a standard  16-mm
stop-motion movie projector, or for quantitative evaluation by taking
photomicrographs -which are  examined on a semi-automated analog-digital
converter.  One great virtue of the technique is that the shape of the
impacted particle is preserved as a. casting, even though it may contain
liquid which evaporates through the film.   At typical flight speeds, some
particles down to 2 )jm diameter are collected, although questionable
collection efficiencies in this size range make it difficult to give quantita-
tive concentration results  for particles below 4 or  5 ym diameter.

      The main sampling device was the MRI Moving Slide Impactor (MSI).
This  device and the associated evaluation techniques are fully described by
Goetz (1969).  In this  instrument,  a deposit is continually impacted via a
vacuum system onto a very smooth metal slide.  The  slide is  steadily moved
perpendicular to the impaction slit, yielding a time-varying deposit spread
out along the  slide.  The slit design permits good impaction with low
pressure drop, thereby disturbing the particles less than  is the case with
standard impactor  slits, and the design features a  very sharp deposition
width, affording excellent time resolution on the slide.  Evaluation was by
standard photomicrograph techniques.  Most of the  evaluation was per-
formed from pictures taken with dark field illumination; this permitted
counting (but not sizing) of particles considerably smaller than the wave-
length of light.  For a few cases, a scanning electron beam microscope
was employed to give  very accurate data for all particle sizes.  A light-
scattering intensity meter was  used for quick scans of the  slides.   With a
stronger vacuum than was used here, the MSI  collects particles down to
about 0. 1 |jm  diameter.  For this project,  the complete cutoff was at about
0.2 |jm.   Some particles larger than about 10 (jm will tend to get deposited
in the inlet and entrance tubing.  Figure 2  shows the location of the MSI in
the Aztec.  The MSI had two  slits depositing side by side on the slide.  A
flow of 5. 2 liters/min was drawn through each slit.  The air would take
about 2 sec from the time  it entered the tube until it passed through the
impactor.

      Turbulence was measured with the UITS described by MacCready
(1964a, 1966). High frequency pressure (airspeed) fluctuations are

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MSI sample drawn through 5'
of 1/Z" diameter Tygon tubing
as shown.
  MSI
Fig. 2.  MOUNTING OF THE MSI IN THE AZTEC

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measured with a pilot-static pressure differential system, and the turbu-
lent energy is found in a particular frequency range (the inertial subrange
of eddy sizes) where the transducer response is good and where the
aircraft provides a stable platform.  The system automatically adjusts
system gain as a function of mean indicated airspeed and as a  result is
able to yield an output which is a  measure of turbulence intensity  inde-
pendent of speed or  aircraft type.  The intensity value output,  R,  is
actually (ep/pg)1'   where  p  is density,   Po  represents  sea level condi-
                                       2     3
tions, and  e  is the dissipation rate  (cm  sec" ).  For the Keystone flights,
the altitude was always low enough so that the density ratio  p/po  could be
assumed to be unity to the accuracy required  of the measurements.  The
instrument time constant was set at 1 sec.  Although the  measurement
technique for   e involves the inertial subrange of eddy  sizes,  and many
applications of  e  are made in the inertial subrange, knowledge of  ~. is
also of  considerable value in some processes involving far larger scales.
Such is  the case in some diffusion instances and in the estimating of
surface factors from aircraft measurements, as are discussed later in
this report.

Test Procedure

      A general schedule was made up for the various participants of the
program so everyone would have  equal opportunity to complete their
contractual commitments.

      MRI was scheduled to fly in the area of the Power Plant  and to 8 mi
downwind of the stacks from 0850 to  1000 and 1135 until 1315 on a normal
operating day without interfering  with any of the other measurements
that were being made.  MRI could also operate in the plume  at distances
downwind of the stack greater than 8 mi at times other  than the scheduled
ones.

      A typical flight is  shown in  Volume II.   It went as follows:

I.    Takeoff from Jimmy Stewart Airport and head west to the Power
      Plant.

2.    Make an upward spiral  sounding upwind of the power plant for
      meteorological conditions and background particle samples, from
      1500 to 5000 ft MSL.

3.    Proceed to 2 mi downwind - make five or six horizontal  sampling
      traverses across the  plume for particles and meteorological condi-
      tions.  Sample at the  center, top, and bottom of the plume to give a
      vertical profile of conditions.  If possible sample at the  same time
      as the lidar measurements.

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4.    Proceed to five miles downwind and repeat the above sampling
      crosswind traverses.

5.    Proceed to 10 mi downwind and repeat the crosswind sampling
      traverses.

6.    Make a spiral sounding at 10 mi downwind for particle sampling
      and meteorological measurements.

7.    Fly an along-plume traverse from  10 mi downwind to the Power
      Plant, attempting to stay along the  centerline of the plume.

8.    Return to  the Airport.

9.    Repeat the preceding steps in the late morning-early afternoon
      scheduled period.

      For some of the days of the program, the preceding flight plan
was modified to provide some background data  for the Homer City and
Conemaugh Power Plant areas.   After the along-the-plume  sample was
taken from 10 mi downwind to the Keystone Power Plant, the aircraft
would proceed to Homer City.   There another spiral  sounding would be
made for meteorological variables and background particles.  After the
sounding,  a horizontal traverse down-wind of the stack -would  be made
for about 5 mi.   The aircraft would fly to Conemaugh and repeat the
foregoing procedure.

      On a few of the flights, special particulate sampling runs were
made as requested by SRI to enhance the potential correlation between
the lidar and particle sampling.
                                 10

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in.   ESTIMATING  T0 AND  z0

The Basic Relationship

      It is generally accepted that for neutral (adiabatic) stability,  the
turbulent kinetic energy equation for a given level can be written
where  T is the shearing stress,  p  is density,  U  is the wind speed,
z  is altitude, and e  is the rate at which turbulent kinetic energy is
dissipated into heat.   For non-adiabatic cases, terms for the vertical
flux of heat and kinetic energy would have to be added to (1).  In
adiabatic conditions over homogeneous terrain, the logarithmic wind
profile  is valid

                           9U
where  TO is the shearing stress at the surface, and  k  is the von Karman
constant.  If we make the additional assumption that the shearing stress
is invariant between the surface and the level where (1) is applied, then
the two equations can be used to show

                          T0 =  p(kze)2/ 3                              (3)

Thus,  from, a measurement only of  e at  some known height,  TO can be
found.

      The logarithmic wind profile,  in integrated form, is
                                          z  _
Combining (4) with (3) gives

                                       k2/ 3 U
                         Inz0 = Inz -  1/3  /3                       (5)
                                       Zj    t,

Thus,  z0 can be estimated from measurements of  e and  U  at some
known height.

Range of Usefulness

      The above relationships should be valid for steady-state conditions,
in neutral stability,  over homogeneous terrain,  throughout the layer
                                 1 1

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where  T  is constant.  In the real case, the conditions are not the
idealized  ones, but the validity of the concept may be adequate for at
least qualitative estimates of  T0  and  z0.  The validity can be studied
by examining the accuracy of (1) and (2).

      Dr. Leonard Myrup  (private communication) has pointed out that,
concerning (1), Hess and Panofsky (1966)  have presented strong evidence
that under unstable conditions there is a strong tendency for energy
produced  by buoyancy to be exported aloft.  That is, the omitted terms
of (1) tend to balance even under rather unstable  conditions.   Thus the
simplified equation may be valid over a wider range than originally
thought.

      As for (2),  its accuracy depends on  stability.  One can use the more
accurate exponential wind  profile introduced by Swinbank (1964)
where L is a measure of atmospheric  stability which can be estimated
from knowledge of wind speed and temperature gradient.  This more
accurate equation should be employed if the most accurate  1Q measure-
ments are desired, but it is much more complex than (2 ) and requires
additional observational data.  Over land, we estimate  (2) will usually
be accurate enough for altitudes of well above 30 meters for cases of
moderate instability, and altitudes exceeding  100 meters for cases close
to neutral stability.

      As to  the constancy of  T  -with height, in the practical case this
should be a  reasonable assumption for an atmospheric layer deeper than
that for which (1) and (2) are  valid.

      The obvious approach to using airborne  e  measurements  and  U
observations for  To  and  z0  calculations is to take advantage of the
cases where the relationships are most applicable.  This -would be in
strong wind cases, in neutral or slightly unstable lapse rates.  For stable
cases, the method seems unfeasible.

Observations
      Observational data to use with the above approach for  T0 and z0
estimates were obtained on the project on a low priority basis. The
flight measurements and notes were primarily made for other purposes,
but nevertheless can be used here to illustrate the technique.

      For the calculation of TO  by (3),  the best method from the  stand-
point of simplicity and statistical reliability is to fly at one constant,
                                 12

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  low altitude  z and measure the average  e.  The existence of rolling
  terrain made this difficult, as did the  requirement to concentrate flight
  observations at plume heights and also avoid lower elevations where
  helicopters were operating.  On the first day  of the project, we did such
  flights, since the helicopters •were not operating,  and there were several
  other instances during  the program.  In other cases,  the best data  are
  derived from sporadic  vertical soundings at several locations, where
  data were obtained down to about 150 meters  above  the ground.  Since
  individual  z£  values have no  statistical validity,  average  z£  values
  have to be  used.  For horizontal flight, the e averages were obtained
  by eye.  For the vertical soundings, the  z £  averages throughout the
  lowest observed  several hundred meters were used.  For estimating
  these latter averages,  overlays were prepared giving constant  ;0  lines
  as a function of  z  and  e  , for the scales used in the data  presentation
  of Volume  II, the Processed Data  Supplement.  Estimated  values of  ;0
  were read  off the computer plots  of e vs.  z  with the help of these
  overlays.  There is great variability to the e soundings,  so the resulting
  indicated  T0  values must be deemed crude estimates only.  Soundings
  •were used  only if some suggestion of an inverse  z -  
-------
                              Table HI
  HORIZONTAL TRAVERSE DATA AND SURFACE ESTIMATES
Date    Time  Case Height* Turbulence Location  Stability
1969           #    z =        £
                    (m)   (cm2sec~3)
                                                                          z0
                                                        (m/s) {dynes/cm2) (cm)
Oct.

Oct.

Oct.

Oct.

Oct.

15

17

20

20

20

1407

1210

0943

1003

1008



58

80

81

82

110

160

160

110

160

50

70

70

0.4(1 st |)
4.0(2nd £)
100

Upwind
Keystone
5 Downw =
Keystone
2 Downw.
Keystone
10 Downw.
Keystone
1 0 Downw.
Keystone
?

Neutral

Neutral

Neutral

Neutral

~4

4.6

3.8

4. 1

4. 1

4.

7.

7.

1.
8.
9.

4

0

0

8
2
0

760

1400

2150

1500
550
2350

 * Height is above ground.
** U estimated from pibals at 180 m above ground.


         The estimates of   T0 seem not unreasonable, most being in the range
   2 to 8 dynes/cm2.   Putting this in terms of  u#,  this means 41 to 82 cm/sec.
   The  z0 values are far  more erratic, varying over more than three orders
   of magnitude.  It should be expected that the  z0 computations would show
   far more scatter because of two factors.  First, an additional variable, U,
   is required in their calculation, and the  U  is here derived from a spot
   measurement at a  location which may not be representative of the region
   of the  £ measurements. Second,  the computation involves finding the
   small difference between two large quantities (5), and so errors in  U, e,
   and  z  produce large uncertainties in zo-   The calculated zo values
   are mostly quite large.   One might have expected values in the 30 to  300
   cm range, from noting  the generally rolling terrain,  some trees,  and the
   large power plant complexes themselves. In all these interpretations, the
   non-homogeneity of the  turbulent regimes in time and space should add
   appreciably to the  scatter.  One  clear example of this is the double case
   (#81) on Table III. For  the first half of the horizontal run, e was low,
   while for the second half it was high, hence yielding different  T0  and  z0
   values.  In the  z0  calculations, the extreme values  came from two  of the
   three "stable" cases, a not unexpected result since the air at the aircraft
   observational altitude is effectively decoupled from the ground.

         This attempt at deriving  T0  and  z0 from aircraft measurements
   must be deemed as introducing the concept,  not trying to use  the concept
   to obtain practical numbers.   For proper exploitation of the method,  the
   flights should be lower  (say,  100 m or below), height should be accurately
   monitored (say,  by radar altimeter in complex terrain situations), the
                                    14

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observations should extend over distances or times affording a chance
for statistical significance, and cases should be chosen where the wind
is strong and the lapse rate close to neutral.  Obviously the most
definitive tests would be over terrain where prior or present projects
established the  To and  z0 values for comparison.

      Slade (1969) has derived z0 information for "rough and inhomo-
geneous terrain" around an instrumented tower located in the northwestern
section of Philadelphia.   The data came from wind profiles in neutral
conditions. For northerly winds,  ZQ  was about 270  cm; for  southerly
winds, it was considerably less than one meter.  Data up to 175 meters
proved useful for the calculation.  The  z0  for northerly winds is com-
parable to some of the  z0 calculations of Tables II and III.  Checks of
the airborne instrument technique for deriving z0 would be especially
desirable at this tower location where  z0 data have already been
established.   The UITS should be helicopter-mounted for the required
low flight over the urban area.
                                 15

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IV.  THE DECAY OF THE TURBULENCE IN THE PLUME

      The initial plume can be expected to contain strong turbulence.
This will decrease in time until the plume turbulence is indistinguishable
from the ambient turbulence.  The distance, x*, -where the atmospheric
turbulence begins to dominate entrainment,  must be a function of the
stack parameters,  environmental stability,  and environmental turbulence.
The  significant environmental turbulence factor should be  e, since the
size scale  involved is of the same order of magnitude as the inertial
subrange.  Briggs  (1969) develops a formula for x*:

                       x* = 0.43 F^ 5 (p~3Ue~1)3/ 5                    (7)
•with  g = gravity,  QH = heat emission of stack gases, cp  is specific heat
of air at constant pressure, p is air  density, and  T is temperature.
For normal conditions,

                     F = 3<7.10-spnl/secl-|
                                  Leal/sec  J

       3  is a non-dimensional coefficient of order unity

       U is the mean wind speed.

 By finding  3 =  1  empirically, and noting £ vs.  U  and z  empirical
 relationships, he further derives:

                               R / ^
                 x* = 0. 52   *> 5  ]  F^ Shs3/ 5    (hs<1000 ft)         (8)
                 x* = 33     a/ g  j F   5           (hs>1000ft)        (9)

 where  hs  denotes stack height.

      On the present project,  there were cases where the plume turbulence
 and environmental turbulence were sampled at 2, 5, and 10 miles.  Thus
 there may be a chance to see  if the predictions of (7)  are consistent with
 the observations.  Unfortunately, the data show extreme scatter --
 especially, there are big variations in e  at different altitudes,  all still
 at plume heights.  The data are summarized in Table  IV .
                                 16

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                                Table IV
                   TURBULENCE VS.  DISTANCE
Date   Distance   No. of        e outside
         (mi)    Traverses
'in plume
in' eout
Oct. 15

Oct. 16


Oct, 17


Oct. 20

2
5
2
5
10
2
5
10
2
10
5
3
3
4
1
5
8*
2
6
1
17
33
8
3
2.3
1.8
0.6
1.9
1.7
9
68
32
20
19
11
11
1.9
15
4.8
114
4.
1.
2.
6
5
6
3
8
2.
13
0
0
5





8

*One strong turbulence traverse omitted.

      Using (7) and a representative value of 30 cal/sec X 106 for  QH ,
one finds
               x* = 4100 m  (2.6 miles) for  e = 1  cm2sec
                                                        -3
                * =  533 m  (0. 3 mile)  for  e = 30 cm  sec
                                                         -3
      Comparing such numbers with the experimental data for October 17,
                                                       o    r_ o
where the ambient turbulence is approximately  e =  1 cm sec  , we  see
the prediction is decay to ambient in a bit over two miles, and the
evidence could be deemed consistent with this if we  eliminate the odd
increase in the plume turbulence during one pass at 10 miles. Since
there was also one  strong turbulence traverse out of eight at  5 miles,
perhaps the elimination of one data  point at 10 miles is not improper.
For October  16,  with light turbulence, the data suggest the plume turbu-
lence decays more  slowly than  (7) would have predicted.  For October 15,
with moderate turbulence, the experimental evidence suggests the plume
turbulence is still present at 2  miles but the  equation suggests the
ambient turbulence would have  taken over completely some time earlier.
The October  20  data beyond  2 miles seem spurious; the existence of
some excess turbulence at 2 miles  is not inconsistent with (7).
      Using (8), with  hs = 245 meters, gives
much smaller than suggested by the data.
  x* = 237 m (0. 15 mile),
                                 17

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      In summary, the data as analyzed show considerable scatter and
so cannot be used to establish an equation's  validity.  However,
acknowledging the scatter, they are at least not Lncons istent with the thought
that for weak turbulence (7) represents a good starting point but perhaps
somewhat underestimates the distance for the plume turbulence to
decay to the ambient value.
                                 18

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V.    PARTICULATE MEASUREMENTS

The Three Methods

      Particles were directly measured in three ways on the MRI
program.

      The first method involved the use of the Charlson Integrating
Nephelometer (Charlson, Ahlquist, Selvidge,  and  MacCready, 1969).
This was installed on the aircraft with the intention of making measure-
ments on the ferry flight to and from Pennsylvania, as well as during
the experiments at Keystone.  The instrument was an airborne unit
borrowed from Dr.  Charlson at the University of Washington.  It
suffered an electronic failure on the initial ferry flight when about 800
miles from the West Coast and could not be repaired during the  course of
the field program.   The program had  been designed to be able to proceed
without this instrument, but the equipment failure was certainly  dis-
appointing  because,  with its fast response time, this  sensor would have
clearly identified the plume position on the aircraft instrument chart
records, and it also would have provided  quantitative total scattering
data for comparison with the SRI lidar. After the field program was
completed,  the instrument was quickly repaired and it has worked
reliably since, as have other versions of  the nephelometer which have
been employed in mobile service in automobiles and aircraft.

      The second two-particle  measurement methods  were aimed at
collecting particles  during aircraft traverses through the plume, pri-
marily for comparison with the lidar observations.  The methods involved
collecting small particles (in the 0.2 to 10 ^m range) with the Moving
Slide Impactor (MSI), and collecting a larger  range of particles  (2 to 100
|_im) with the Continuous Particle Collector (CPC).  The samples were
collected for subsequent evaluation in the laboratory.  The overlap in the
size ranges covered by the instruments was to afford an opportunity  for
cross  calibrations.  In spite of a considerable investment in evaluation
effort,  the CPC data were not of particular value to the program.  The
main light scattering •was apparently from smaller particles than the
CPC handles, and the few larger particles were difficult to identify on
the film amidst a background of a  small number of spurious  particles.
      The MSI collects particles appropriately over the 0.2 to 10
range, with perhaps some small loss of particles at the large end of this
range due to removal  in the tubing prior to the MSI, and a low collection
efficiency at the lower end of the  range.  The main problem turned  out to
be evaluation,  not sampling.  It was anticipated that the mean particle
size would be 2 or 3 M.m, large enough for at least crude assessment by
means of ordinary microscopy.   However,  from some preliminary looks
                                 19

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at the slides it appeared that the preponderance of particles from plume
regions were smaller than this.   Consequently, dark field illumination
photomicroscopy was  employed in the main evaluation.  This technique
permits counting of particles down to the minimum size being collected
here, although the small particles cannot be sized.  The apparent size
depends on  illumination -- and various amounts of illumination were
employed so as to try to extract the best possible information from the
technique.  To obtain definitive information about the particulates,
scanning electron microscope photos were made of a few slides.  These
photos only became available very late in the program.  Details on
these approaches are  given later in this section.

The Fly Ash

      We obtained a sample of the stack particulate through Mr.
Schiermeier of NAPCA.  Figure 3 shows  this fly ash.  Almost all of
it has been fused into clear glassy spheres or  globules.  There is
relatively little small material.   The size distribution of this sample
is given in Fig. 4.  This distribution was obtained with normal micro-
scope illumination, not dark field.  Mr. Keller of the Keystone Plant
stated the burner runs between 1650 to  1690°C.  Almost all the
expected minerals in the effluent melt before this temperature, which
accounts for the fused appearance.


Evaluation of the MSI Samples

      There were 84 MSI slide samples taken on this program.  The MSI
slides were moved during  collection at rates which were varied for different
slides depending on the anticipated density of deposit.  There were six
speeds available,  from 12 to 384 seconds per slide traverse.   During
evaluation,  each slide was divided into  18 increments covering the collec-
tion period.  Size distributions were measured,  and also relative light-
scattering values.  The impacted samples proved to be extremely stable,
allowing the samples to be reprocessed as desired.

      To obtain the size distributions, photomicrographs were made under
dark field illumination and projected onto a Benson-Lehner OSCAR S-2,
from which IBM cards were punched with a human operator.   Initially,  the
particles  were sized into 2. 5 |j.m intervals,  but when it became apparent
that there was a preponderance  of small particles, the evaluation technique
was shifted to give 0.5 (am size  intervals.  Figure 4  shows  an example:
the size distribution for MSI sample Slide #4-18, a  sample from the plume
10 miles downwind of Keystone.   The left-most of the two adjacent curves
                                 20

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             440 X
Fig.  3.  STACK PRECIPITATE
             21

-------
 10s
                                                            MSI Slide  4-18
                                                            Position   2
                                                            Roll  1    Frame 24,25, & 26
                                                            Exposure  0.1,0.2,0.5  sec
                                                            Type of Sample  Across plume,
                                                            10 mi downwind of Keystone
                                                            Time  1009   EDT
                                                            Altitude  3100'  MSL
                                                            100%  =  1281 particles
                    Particles lost due
                    to photographic
                    definition (13%)
                                 0. 1 sec
                                exposure
                                                    0.5 sec
                                                    exposure
                                    Apparent growth
                                    of particles due
                                    to overexposure
                                    of photograph
                                                                     Distribution of
                                                                     fly ash from bin of
                                                                     precipitator
                                                                     (grouped data)
                                                                     100% = 899 particles
U
 10°
        Background particulates
        from Conemaugh includ-
        ing only particles <1. 5
        (jm dia.,  derived from
        Stereoscan.
        Slide #11-16.
        100% = 1068 particles.
io-]
                                10°                          101
                                  Observed Particle Size (|jm)
                             Counts Grouped in 0.5 |_m Increments
             Fig. 4 .   DISTRIBUTION CURVES STACK PRECIPITATE,  FLY ASH,
                       AND THE ENVIRONMENT
                                            22

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is deemed the more correct since the shorter exposure decreases the
halo effect on the film.  This effect is described in greater detail later.
As will also be described, the distributions handled this way still make
the small particles appear larger than they really are.  Thus the Slide
#4-18 curves of Fig. 4  should not be considered accurate; a somewhat
flatter slope should be closer to the truth.   Twenty such size distribution
compilations were made, but they are not presented here because they
are considered misleading.

      For a quicker assessment of the spatial variation of particle light
scattering, light scattering of the MSI slide deposit was measured by
the method of Goetz (1969).  Figure  5  is an example of the resulting
plots.  All such plots are given in Vol0 II,  the Data Supplement.  There
is no absolute calibration available relating this to light scattering in the
atmosphere.  If the  Integrating Nephelometer had been operable,  a  crude
calibration would have been achievable.  The calibration would  vary
somewhat with particle size distribution  and material.  Even without an
absolute calibration, the light scattering plots are helpful  in delineating
the plume as long as particle concentrations are appreciably above  the
background noise.  In a qualitative way,  they should correlate reasonably
with the lidar scattering observations.

      The total numbers of particles, rather than the size distributions,
are considered valid.  Table  V  summarizes these  concentration data.

Light Microscope Vs. the Scanning Electron Microscope

      The two photographs,  Fig. 6,  are  prints of original negatives of
the sample of particulate on Slide #4-18  prepared by the dark field
illumination method.  One can clearly see the apparent growth of the
particles as a function of film exposure;  the "halo" caused  by  light
scattering makes it impossible to size the smaller particles accurately.
The photographs are suitable for determining the number  of particles;
just a few more are visible in the 1/2-second exposure than in the  1/10-
second exposure.

      The series of photographs on Fig.  7 are pictures of exactly the
same particle sample (but a slightly different portion) taken through the
Engis Stereoscan Electron Microscope through  the courtesy of Mr.  John
Devaney of the Cal  Tech Jet Propulsion  Laboratory.  The second photo
in this  sequence has the same magnification (525 X) as the  photos  on
Fig.  6.    The crude "C" shown on the first Stereoscan picture was etched
into the sample on the slide to  allow return to the area of interest if
desired.   The picture at 525 X still does  not answer the question as to the
exact size of the smallest particles.  Therefore, magnification was
increased geometrically to 5, 250 X until  these smallest particles  could be
measured with high confidence.  From Fig. 7   it can be observed that the
                                  23

-------
                                            H
                                            O
                                            J
                                            OH

                                            O
                                            z
                                            I—I
                                            Pi
                                            w
                                            H
                                            H
                                            •<
                                            u
                                            w

                                            H
                                            E
                                            O
                                            n
                                            •4
24

-------
                              Table  V

                 PARTICLE CONCENTRATIONS

  SJide #    Increment      Sample Code          Concentration
                                                (particles /cc]
5-16
2-17
16-17
22-17
23-17

24-17


26-17
1-18
4-18

6-18
1-21
4-22
6-22
7-22
8-22
12-22
2
4
10
17
2
12
5
8
17
5
3
2
7
5
10
18
13
13
2
7
01
01
03
02
02
02
02
02
02
19
03
03
03
09
01
01
01
01
01
30
740
495
433
86
102
163
193
146
93
2,815
107
252
293
137
95
36
105
95
80
615
See Volume III for key relating Slide Number to specific time and
location.

Abbreviated           01       2 mi downwind
Sample Code           02       5 mi downwind
    Key               03      10 mi downwind
                       09       Ascending spiral upwind
                       19       In knee of plume
                       30       In plume over lidar
                            25

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                        Film Exposure 1/2 sec
                               100
                        Film Exposure  1/10 sec
Fig. 6.  SLIDE #4-18, BLACK FIELD PHOTOMICROGRAPHY
        Representative sample of the effluent 10 mi. downwind of Keystone.
                                    26

-------
 H	H
  1000  ^m
     2. 100X
 5.250X
 h
   10
•10
Fig.  7.  SLIDE #4-18.  STEREOSCAN ELECTRON MICROSCOPE
                          27

-------
smallest particles in the sample are of the order of 0. 3 |jm in diameter,
and the sample contains a large percent of particles well below 1 urn.

      Figure  8  is an equivalent series of electron microscope photographs
of Slide #11-16.  This sample was taken during a spiral sounding over
Conemaugh,  more than 50 miles from Keystone. It represents a typical
Pennsylvania background environment. The MSI slide movement was
slower in taking this sample than it was for the sample in Fig. 7 .   To
compare the 525 X magnification photos on Figs. 7  and  8, the Fig. 8
deposit should be decreased by a  factor of 16.   Even taking this into account,
it can be seen that the background environment may constitute  a consider-
able percentage of the small particles in the plumes  shown in Fig.  7 .
The approximate particle  size distribution derived from Fig.  8 is
indicated on  Fig. 4  .  Particles  larger than  1. 5/jm diameter were not
counted for the Fig. 4 size distribution, but  in any case they represented
only a small percentage of the number.

      The  Stereoscan photographs of Fig.  9  are included for subjective
inspection.  They are also from Slide #4-18, in the plume.  Of special
importance is the lower left photo.  It distinctly shows that the particle
was large  and probably liquid when it impacted, and then  subsequently
evaporated to the final form.

      Figure  8  shows what might be impaction patterns around the larger
particles.  These may be  indicative  of impaction of larger liquid droplets
and  subsequent evaporation, or, less likely, they may be  a polarization
phenomenon  whereby electrical forces help orient particles.  The late
Dr.  Alexander Goetz and his  staff examined  the photo and felt that  no
definitive conclusion could be drawn solely from the present evidence.
The satellite patterns around the  larger particles  resemble those some-
times observed with sulfate particles.

      It is  to be noted that the photos of Figs.  7, 8, and 9 show a fairly
distinct cutoff below 0. 2 or 0. 3 (j.m.   It seems probable that this  is
caused by  collection efficiency characteristics  of the MSI.   This  small
end  of the  particle size spectrum is  not of particular importance  here
because it contributes in only a minor way to light scattering.

Further Comments

      The  CPC operated appropriately throughout the program, and much
effort was  devoted to evaluating the 6334 feet of film obtained.  Neverthe-
less, no quantitative data  were obtained from it.  Fly ash smaller  than
5 um could be observed,  but the less common  larger fly ash could  not be
definitely established.  One problem  is that  the CPC film  tends to pick up
spurious dust particles during evaluation which confuses the evaluation.
This causes  no particular problem when the  CPC is used for its original
role, collecting cloud droplets -which exist in high concentrations,  or


                                 28

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  525X
   2, 100X
  5,250X
21.000X
Fig.  8.  SLIDE #11-16, STEREOSCAN OF AMBIENT AIR
                        29

-------
       540X
                                              10, 800X
                                          H    h
     ]0,800X
                                             10,800X
Fig.  9 .  SLIDE #4-18, ADDITIONAL STEREOSCAN PHOTOS
                            30

-------
collecting ice crystals -which are larger and distinctly shaped.  It did
cause a problem in the present study.

      Things would be simple if one could say there  is a particular concen-
tration and  size distribution of particles representing the background air,
and an additional particular size distribution of particles representative
of the stack effluent which can be superimposed on the background in
amounts depending on the dilution.   Unfortunately, reality is  far more
complex.

      Concerning the  fly ash size distribution, the distribution found for
the precipitator  (Fig. 4) analyzed from microscopy  with standard  illu-
mination, gives some hint of the particles being mostly  large.  However,
these are what are precipitated,  and the distribution may not be  repre-
sentative of what is emitted when some precipitators are shut down as was
the case in  our airborne sampling.  The best evidence should be from the
sample taken in a strong portion of the plume.  Slide No. 26-17  (see
Table V) was taken in a "zip through the knee  of the  plume" and  had an
order of magnitude higher concentration than the other samples, so it
should show the true fly ash  spectrum.  As  analyzed with dark field
illumination,  with  a correction  for light intensity, half the particles were
under 1. 0 um and 85 percent under  1. 5 n,m.   The number of large  particles,
say 10-20 fjrn,  was very small.   Other samples from areas where  the
plume was  less dense gave lower counts and a preponderance of some-
what larger sizes --butthe distributions would be mostly representative  of
ambient conditions, and not shed light on the plume  particulates.  The
plume was  slightly colored, but this would be  expected even with particles
this  small.

      Concerning the  background particles,  Table V shows many cases
of low concentrations  in the plume at all distances (down to 36/cc) meaning
the background would  be as low  or lower.  There were also higher counts
(615,  740/cc).  The airplane observer in some instances noted strong
systematic  variations, in the  vertical, of the haziness of the  atmosphere.
In summary,  large background variations are to be  expected, as a function
of both space  and time.

      As to measurements specifically in non-plume regions, Table V
shows Slide No.  6-18  to have  137 particles/cc.  The "corrected" dark
field size spectrum put 80 percent of the  particles between 0. 5 and 2. 5^m,
with the  maximum around  1. 3jum.  For the ambient  case near Conemaugh
evaluated by the stereoscan electron  microscope,  the photos are  on Fig.
8 and the size distribution for particles below 1.5 [im is given in Fig.  4.

      In  trying to put  all of the above together, one must realize that there
were various  evaluation methods and various data from  atmospheric cases
with high variability.   One must conclude that the  dark field illumination
technique,  as applied,  probably indicated particles at all sizes to be some-
what larger than actual,  although perhaps  total counts of all deposited
                                  31

-------
particles may be fairly accurate and relative sizes  between samples
should be valid.  The size distribution of the airborne fly ash is in
doubt.  One conclusion is quite evident:  systematic evaluation of all
slide  samples with the  stereoscan electron microscope would have
answered most of the questions in a definitive manner.

      It was beyond the scope of this project to  consider  relative humidity
effects.  A large portion of the natural aerosols are typically hygroscopic,
so the increased water vapor in the plume can result in a visible cloud,
an increase in light scattering, even if no particles •were  being emitted.
Such particles would evaporate on the  sampler  slide, so  only the solid
residue would be measured.  The  same effect would be true  if the
effluent particles were hygroscopic.  The large ones are  probably not.
Thus  one must conclude that the best correlation of airborne measurements
with lidar would  derive from  light scattering measurement devices  on the
aircraft,  such as the Integrating Nephelometer, not from particulate
collections  for subsequent laboratory assessment.
                                 32

-------
VI.   METEOROLOGICAL ENVIRONMENT OF THE TALL STACK PLUME

      The topics of interest in a consideration of the tall stack plume
meteorological environment are the magnitude and directional wind shears,
the height and frequency of occurrence of. inversion transitions at plume
altitude, the variation of turbulent mixing in the vertical as a function of
meteorological and topographical conditions, and the variation in vertical
mixing along the plume trajectory over complex topography.  A definitive
study of each or all of these topics is beyond the scope of this program;
however,  the field program was designed to obtain some data on each of the
above aspects, and subsequent analyses did reveal  interesting results as
will be described in this and subsequent sections by drawing sample  cases
from  Volume II.

      The meteorological environment of the tall stack-large power plant
plume is really that of the so-called planetary boundary layer of the  atmo-
sphere whose depth is on the order of one kilometer under near-neutral
conditions of stability and one to three kilometers under conditions of strong
instability.   The depth of the planetary boundary layer under stable and
inversion conditions is more difficult to define and is presently a subject of
active research as is the planetary boundary layer problem in general.
The tall physical height of the stack itself plus the large amount of
effluent with a considerable exit velocity and excess temperature cause
the plume to be at altitudes between about 300 meters and 1000 meters.
This is  a region considerably above that for which the large amount of
research to date on the meteorological environment of plume rise and
diffusion on conventional stacks has been done.

      The distribution of the wind in the planetary boundary layer is
undoubtedly the  subject which has received the most study to date.  In this
regard, our  best quantitative understanding is still confined to conditions
of neutral stability and flat,  uniform terrain.  There exists some qualitative
understanding of the effects of non-neutral stability and terrain roughness
on the characteristics of the "Ekman spiral" type wind distribution.   The
situation of a strongly stable planetary boundary layer,  however, in which
adjacent layers  become decoupled in their behavior from one another,  so
to speak,  or where single or multiple inversion layers may exist, and
where large terrain inhomogeneities or artificial  roughness elements, like
large power plant stations themselves, are present is indeed beyond all
but our  most meager qualitative understanding.  At present it appears the
problem area in greatest need of good observations under neutral and non-
neutral  stability conditions is over complex terrain.  Fortunately, in the
program under consideration,  efforts were made by NAPCA to document
the wind distribution affecting plume transport and diffusion by taking
double theodolite pibal observations  every half hour in the vicinity of the
                                   33

-------
Keystone  Power Station.  Examples of these observations which document
some of the complexities alluded to above are presented in Figs. 10 to 12
All of the pibal data  are also given in Volume II.  Figs.  10 to 12 show the
considerable changes in the magnitude and direction of the  mean wind from
the ground to plume top and the wind shears which exist over the time
period of  interest (early morning to mid-afternoon) relative to predicting
ground level particulate and sulfur dioxide concentrations.  It may be
noted in these figures  as well as similar ones for the other days in the
October 1968 series that the  time and vertical extent  of inversion break-up
transition from strongly stable conditions to near-neutral in the lower
layers can be  determined fairly easily from the directional wind shear
characteristics.  In this case on 17 October, the transition occurs about
1000- 1030 EDT to at least 600 meters (MSL).    This  altitude,
obtained  from changes in  directional wind shear  characteristics,
is consistent with that determined from directly measured  vertical profiles
of turbulence, before,  during,  and after transition which will be shown later
in this section.  It should also be noted in Fig. 12 that by 1200 the magnitude
wind shears have been  almost completely eliminated  by the strong
vertical exchange from convective processes.

       From a consideration of the position of the mean plume altitude
in the planetary boundary layer as well as the preceding examples of
directly measured pibal wind profiles it is evident that the  directional
wind shear should have a significant influence on plume rise and hori-
zontal diffusion. In addition, the magnitude wind shear which is normally
rather small in this region appears to be rather large under certain
conditions at Keystone, probably due to local terrain effects with certain
mean wind directions.  The  complexities of wind directional shear on
plume rise and horizontal diffusion have generally been ignored for con-
ventional  stack-concentration prediction problems and correctly so since
the plume diffusion is occurring in a region of smaller  or zero direc-
tional shear except under very special topographical  conditions.  The
complexity of magnitude wind shear has generally been handled by adop-
ting the convention of using the wind at stack top or vertically averaged
over the plume depth.  The wind directional shear values and characteris-
tics are summarized in Table VI for the MRI photo periods in the October
1968 series.  It may be noted that the difference in wind direction is
typically  large and reflects local topographical  effects in the immediate
vicinity of the Keystone Power Station. In order to aid in visualization of
the transport and diffusion meteorology of the plume  environment,
Figs. 13 to 18 are presented.  In these figures, the directional wind  shear
over the range of plume altitudes is shown along with the  temperature
profile from MRI aircraft observations and the  vertical-time average of
the wind speed.  Plume dimensions derived photographically are also
shown.
                                   34

-------
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         0900 EOT   17  OCT  1968
           4. DO     8-00
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                       ^ RO
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               DIRECTION(DEG)
   Fig.  10.  NAPCA PIBAL, WIND PROFILE AT KEYSTONE POWER STATION

          (0900 EDT - 17 Oct 1968)
                               35

-------
           1000  EDI   17  OCT 1968

    5 .50
1 - F r p ' >-l P n
i     -    *^
                      3 .50
                                                191
Fig. 11.  NAPCA PIBAL WIND PROFILE AT KEYSTONE POWER STATION
        (1000 EOT -  17 Oct 1968)
                               36

-------
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      SPEEDIMPS)
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90               180

         DIRECTION*DEG)
 Fig. 12.  NAPCA PIBAL WIND PROFILE AT KEYSTONE POWER STATION

         ( 1200EDT - 17 Oct 1968)
                              37

-------
                           Table VI

              DIRECTIONAL SHEAR VALUES AND
   CHARACTERISTICS FROM GROUND TO PLUME ALTITUDE

                                          Depth
Photo                            A 8       of Layer
Period   Date  Time Period   (in degrees) (inmeters MSL)  Characteristics

   1     10/16   1000-1110        100       	         sharp veering to
                                                        850m; then sharp
                                                        backing aloft

   2     10/16   1110-1130         30       	         backing to 650m;
                                                        then slow veering

   3     10/17   0930-1030         70       1100         veering

   4     10/17   1200-1400         50       1600         veering

   5     10/18   0840-0945         70         850         veering

   6     10/20   1300-1400         50       2100         sharp backing to
                                                        600m; then veer-
                                                        ing

   7     10/21   0840-0945         40         950         veering
Note: Altitudes are references to MSL and the stack base is 308 meters
      MSL
                              38

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        The variation of turbulent mixing in the vertical as  a function of
meteorological and topographical conditions is difficult to evaluate
quantitatively in a simple,  inexpensive manner for the large vertical
depths and horizontal area  of interest in planetary boundary layer diffusion
problems.  In this program, the horizontal area of interest included not
only that in a 20-mile  radius of the Keystone Power Station depending on
wind direction, but also the nearby Homer City and Conemaugh Power
Station sites which will become operational within the next  few years.
The MRI airborne turbulence unit,  UITS, was used here to obtain a  pre-
liminary turbulence climatology of the three plant locations.

        One hour  prior to Photo Period  3 on October 17, there was very
low turbulence in the lower layers below 1300 m MSL, corresponding to
the observed strong temperature stability.  Turbulence  increased above
1300 m, which was above the region of principal interest.  As time  of
day increased (e.g. Fig. 14), the stability in the lower levels decreased
to more closely approximate the dry adiabatic lapse rate.  Correspondingly,
the turbulence values increased  first in the lower levels and finally up to
about 1200 m just before Photo Period   4.

      At 9 a.m.  on October 20,  there was a strong temperature inversion
(~1°C/50 m) which extended above the top of the stack to 800 m.   The tur-
bulence increased with height within the  inversion, reaching a maximum
at a level well below the top of the  inversion.  This maximum corresponded
to the  level of a wind velocity maximum  of about 8 m/s.  Wind shear below
this level produced significant turbulence in spite of the strong temperature
stability.  Above the level  of the wind maximum,  the  turbulence decreased
again to a  relatively low value.

        In the morning of October 21, Photo Period  7, there was  strong
stability in the lower layers. A strong wind shear existed  to a level of
about 570 m MSL at 0830 EDT .  Both above and below this  level the
turbulence was highly variable with altitude.   This structure is  typical
of a stratified environment with turbulence  occurring  in layers intermixed
with layers with almost  no  turbulence.  By  1040 EDT, the turbulence had
increased in the lower layers due to surface heating and showed a less
erratic profile as might be expected in a well-mixed layer. Above 800 m,
the turbulence continued to show the variable characteristics previously
seen.

        In areas of complex terrain, measurements of environmental con-
ditions  at one location may not be representative of the plume  environ-
ment a  few miles downwind.  Figure 19 is an example of a 10-mile
terrain-following flight made by the MRI aircraft  on 20 October.  The
principal terrain feature was Laurel Hill,  downwind of the  Conemaugh
                                47

-------
                        1046 EOT       20 OCT  1968
               10-MILE TERRRIN-F0LLOW1NG RUN DOWNWIND FROM  CDNEflflUGH  STRCKS
 •fa
  54.0      2416.0     477B.O     7140.0     9502.0    11864.0   14226.0   165(38.0   1B950.0   213fe.O
    |                                 DISTflNCE  IN  METERS
Conemaugh                                               t
 Electric                                                [                   Conemaugh, Pa.
Generating                      Laurel               Conemaugh Morrellville    (So. Fork,
   Plant                         Hill                   River                 Conemaugh River)

                      Fig. 19.  10-MILE TERRAIN - FOLLOWING RUN DOWNWIND FROM
                              CONEMAUGH STACKS
                                                   48

-------
 plant.  The flight path, together with temperature and  e values, are
 shown in the  figure.  Turbulence values increased in passing over Laurel
 Hill and did not return to their original values in the lee of the hill even
 though the  windward and leeward flight altitudes were the  same.  It is
 indicated by the data that turbulence is generated by the hill and trans-
 ported downwind in a slowly decaying manner.

        It has been possible, on a very limited basis, to compare tur-
 bulence environments at each of the power station locations.  This has
 been accomplished by the use of aircraft soundings made at nearly com-
 parable times. Although unknown variations in space and time interfere
 with an accurate comparison, the  data in Table VII  suggest certain
 relations between stations.  These data were  determined as averages over
 100-200 m  depth of the recorded e values.


                               Table  VII

     COMPARISON  OF TURBULENCE VALUES (e  in cm2sec~3)
Date
16 Oct



20 Oct



22 Oct



Elev.
500 m
750
1000
1250
500 m
750
1000
1250
500 m
750
1000
1250
Homer City
52 (1053 EDT)
24
5
-
35 (1015 EDT)
1.5
0.1
0.1
28 (0856 EDT)
0.4
0.2
0.2
Conemaugh
45 (1115 EDT)
27
6
5
4.5 (1037 EDT)
3.5
0.1
0.1




Keystone

30 (1150 EDT)
18
3.5
2.6
7.5 (0918
0.2
0.2
0.2
5.5 (0843
0.6
0.2
0.2



EDT)



EDT)



      In spite of the limited data,  it would appear that turbulence at Homer
City exceeds that at Keystone at least to a level of 500 m and occasionally
beyond.  At higher levels, there is little difference between the two sites.
Conemaugh appears to be comparable to Keystone in turbulence character-
istics and probably exhibits somewhat lower values in the low levels than
Homer City. Data for Conemaugh were unavailable for the 22 October case.
                                  49

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VH.   PLUME RISE AND DIFFUSION

      Numerous plume rise theories exist, based primarily on empirical
data.  A recent review by  Briggs (1969) has summarized the current state
of this field.  Since prior observational data have come from smaller
stack heights  than at  the Keystone Power Station, the current program
affords a unique  opportunity to extend the previous work.  The program
also involves  complex terrain, and  includes cases with strong  magnitude
and directional shear  -- all of which provide  interesting but complicating
aspects to the study.

      The data obtained were not adequate for a comprehensive treatment
of this complex subject.  The program design was such that the data could
only be  expected  to answer certain limited questions.  The  turbulence data
did cover the  appropriate air volume to some  extent, but there were two
important deficiencies.  First, the  plume turbulence was not measured
really close to the stack,  which is  the place  where the turbulence would
be expected to relate most directly  to plume diffusion.  Second, the tra-
verses at various altitudes and locations were not so numerous that an
environmental summary could be prepared with the desired statistical
significance for a particular  period.  In the region where fumigation was
operating, turbulence data were  available; but the other half of the problem,
i.  e. the diffusion rates and concentrations,  was not covered thoroughly.

      The primary diffusion data derived on this program came from the
photogrammetric analysis of the time lapse pictures of the  plume.  These
do seem quite useful.   Sequences of 35-mm photos were obtained by MRI
on seven days of the program.  Photogrammetric analyses  were carried
out for five of these days,  using the techniques described in Appendix A.
The results are presented pictorially in Figs.  14-18,  and numerically as
well as pictorially in the data supplement.  In the written evaluation,
each photograph was  treated individually so that a time sequence  of the
plume behavior would be obtained.  Plume dimensions were then averaged
over groups of photos on the basis of similarity in meteorological condi-
tions and plume behavior.   This permitted the identification of downwind
regions where fumigation  occurred  and provided details of  the transitional
stages leading to fumigation.

      The field program was conducted so that plume  altitude data could be
obtained from aircraft observations.  It was  therefore possible to verify
the accuracy of a portion of the photogrammetric data and to extend the
plume rise  data much farther downwind than is usually possible with
photographic  observations.  The aircraft data used in the plume analyses
were those  cases when the aircraft was approaching the plume from the
right-hand  side (looking downwind)  and  when the aircraft observer reported
                                     50

-------
 a good penetration of the centerline of the plume.  Aircraft data plotted in
 subsequent figures are the mean of two or three successive traverses.

      Figures 20-24 show plotted plume data for the three photo periods
 which have been analyzed.  Top and mean centerline of the plume are
 given in the figures.  Vertical and downwind distances have been plotted in
 terms of the non-dimensional expressions x/ Si and z/£  where:


                               * = -?•                                 do)
                                   u

 with  u = wind speed and F = "flux of buoyancy" in units m4 sec"3.

                               F = W0 R2g  Tg"T*                     (11)
                                              1 A

 and is related to the stack parameters by the terms:

      Wo   =  stack exit velocity
      R     =  radius of stack
      g     =  acceleration of gravity
      Tg   =  temperature of the exit  gas
      TA   =  temperature of the ambient air.

This type of normalization is  discussed by Briggs  (1969) who was able to
coalesce a variety of experimental cases together  rather effectively by
this method.

      It is  possible in  Figs. 20-24 to identify three distinct downwind
 regions of  plume behavior: (a)  no fumigation,  (b)  intermittent, and (c)
continuous fumigation.   The distinguishing feature of region (b) is that the
downwind distance to the intersection of the cloud and the ground varies
with time.

      The plume rises are first examined here without regard  to the
meteorological environment,  except to the extent the environment is in-
volved in the normalizing procedure of Eqs. (10) and (11).  The non-
fumigation regime is considered initially.


      It  has been customary to  express the rise in the mean height of the
 plume in terms of a power law:

                            Ah
                                   51

-------
       October 17, 1968


       ZT and z"  are referenced to stack base
1000
                            1000
                              to
                              0)
                              to
                              a
                              0)
                              6
                              •i-i
                             :oo
              MRI aircraft

            ° altitude data
                                 100
           	   Zf/Ji   Top

           	z7-£     Centerline


           H = 1.819 m
                                            tops
                                          1
     x/^ (dimensionless)
                          i i  i
  1000   Tops and means of:
00000}
_a_>  Slide 7 at 0945



^_"^_\  Slide 13 at 1006



JLV— [  Slide 21 at 1030
    to
    to

   I—I
    G
    O
 S
 ri
 IN  "-
    N
              No fumigation
            (mean of 21 photos)
 100
     	Intermittent

         fumigation

      (selected photos)
                                        means
     "Complete fumigation beyond

      here, with mean of 21

      photos providing data to
                                                                                          o
                                       Airplane-observed

                                       center lines
    10
100
                                      It, (dimensionless)
 1000
10,00
             Fig. 20.  NON-DIMENSIONAL PLUME RISE (TOP AND MEAN

                       CENTERLINE) FOR PHOTO PERIOD NUMBER 3
                                             52

-------
        October 17,1968



        ZT  and z" are referenced to stack base
500
  CD
  CD
  cu

  •a
  o
  •rH
  CO
  c
  0)

  £
100
                           (dimensionless
                MRI aircraft

                altitude data

          	 zT/4 Top

         	"z/ £,   Centerline
          "°°°)  Slide 4 at 1208°°
         	o	J
                Slide 9 at 1215


                              10
              - 6.041
                         I	I
                                                            100
                         -No fumigation-
(mean of 14 photos)
.^.Intermittent

   fumigation

        I

   (selected

     photos)
                                                Complete
                                                f umi g ati o n


                                               Number of photos

                                              •13— - - 6 - •
                                                                                       
-------
                  October 18, 1968


                  ZT  and ~z are referenced to stack base
                z7
                                  Top

                                  Centerline
                   ...... I  Slide 17 at 0927
                   - e - f


                           Slide 19 at 0930
                                              = 0.5903
	 7
innn


03
"** CD
\ . — — "'~ * ~ ~"
"~ — — — — — — •" ~~ ™
—

—


*^— •
— • — ^" — ' • — — '
_^_ ... ^ "^ ~~~ — , . -. . i— • — ~~ "*






(mean of 21 photos) |

1 1 1 1 1 1 11
20
1 1 1 1 1 1 1 1


	




«•*••*"
<^^,
*~"X



"""""" /~* ^ 1 j.
^ 	 	 Complete-*-
fumigation

^—^_- — — •*
w*^"™"
Intermittent
fumigation


9



Number



6|54
1
* of photos
1 1 1 1 1 1
10
               100
                          (dimensionless)  100°
                                                                              10,004
Fig. ZZ .
                    NON-DIMENSIONAL PLUME RISE (TOP AND MEAN

                    CENTERLINE) FOR PHOTO PERIOD NUMBER 5
                                      54

-------
                       October 20,  1968
                       ZT and  z" are referenced to stack base
         -----   zT/4  Top
         ---   ~zl Si   Centerline
         ooo^o \  slide 4 at 1300


         ''   \ Slide 33  at 1400
                                                    = 2.518
1000



100
w
M
<0
1 — 1
o
(n
ft

-------
       October 21,  1968
       ZT  and z  are referenced to stack base
              MRI aircraft altitude data
              zT/l Top
              ~z'/i   Centerline
1000
(dimensionless
•^
IN
T)
a
ni
«*}
i-
Nl
100
I Slide 6 at 0902
" '^\ Slide 11 at 0925
-
	 -•


-

1 1 1 I I 1 1 I
— 	 	 '-^-' ^*~"

(mean of 1 1 photos)



1 1 1 1 1 1 1 1
'-

x/ —
z£T

U. 4V4
s~' ®
Complete fumigation
(mean of 1 1 photos)
Intermittent
fumigation

1 1 1 1 1 1 1 1
10 100 1000 10,OOC
Fig. 24.  NON-DIMENSIONAL PLUME RISE (TOP AND MEAN
         CENTERLINE) FOR PHOTO PERIOD NUMBER 7
                           56

-------
if the distances are expressed in dimensionless form and where  Ah  is the
height above the top of the stack, and a, n  are empirical constants.
Slawson and Csanady (1967),among others, suggested that:
                                       3 x 2/ 3


                                       2/ 3
       Ah = 2.3 £L/ 3 X *' J                        (13)
or
in dimensionless form was appropriate for near-neutral conditions where
H  is the length scale of buoyancy .   Murthy (1968) suggested that the
value of n  should be reduced in the case of vertical wind shears  (velocity
shears) in accordance with the following:
where p  is the exponent on the wind profile power law:
      Keystone data were analyzed in two separate regions:  no fumigation,
and continuous fumigation.  Data for the no-fumigation region are shown
in Figs. 25 and 26 {two separate figures being used for clarity).  Non-
dimensional heights of the plume centerline above the stack are plotted
against non-dimensional downwind distances.  The first plume height
observation has been entered  in the  plots at a downwind distance of x/^ = l.

       It can be seen in the figures  that a straight line through the down-
wind points does not pass through the initial plume observation point at
x/l=l. In addition,  Az /& has finite and non-zero values at x/jfc = 1 which
can be taken as the stack location for all practical purposes,  a and n
values (Eq.  12) were calculated from Figs.  25 and 26 as shown in the
following table.
                                   57

-------
   loorr
1
                                               100
                       10

               x/X (dimensionless)

Fig. 25.  CENTERLINE GROWTH ABOVE STACK TOP
   100
to
CO

-------
                                Table VIII
             PLUME RISE PARAMETERS - NO FUMIGATION
                                                       AJh*
Photo Period          a          n          I          H          Ah*
3 11. 0
4 4. 1
5 7.6
6 6.0
7 2.4
.388
.477
. 506
.405
.656
1.8m
6.0
0.6
2.5
0.5
2.2
0. 5
11. 0
2.6
8.8
4. Om
3. 0
6.6
6. 5
4.4
* Ah refers to vertical distance between first observational point and
virtual source  of plume as  defined by straight-line extension of downwind
points  (Figs. 25,  26).  It is assumed that this distance is a manifestation
of the initial stack momentum which is  quickly dissipated by mixing,  after
which the buoyancy effects  dominate.
      Table VIII shows that n  values for the five photo periods are generally
 le ss than the 0. 67 value suggested by Slawson and Csanady (1967).

      An attempt was made to calculate wind shear values for the various
 photo periods shown so that Murthy1 s modification of the  2/3  power law
 could be evaluated.  Exponents a and |3 in the following power laws were
 calculated from the wind profile data:

                                     /  z-,^&
                        u(zs)  = u (z,) f-2  !                           (16)
                                     KZ
                                        ,
                                       z ^
                        6 (z2) = 9 (z,) i  -a '<                           (17)
 where  u is the pibal wind speed,  6 is the wind direction and the two
 heights  z, and z2  are 100 and 600 meters above ground.  Rate of change
 of speed and direction were also calculated as follows :


                        Q = - — between z  and z2
                            A z
                            A fl
                        ^ =  - — between z. and z2.
                            Az             '

 Table IX shows the results of the  calculations.
                                  59

-------
                                 Table  IX

                  WIND PROFILE SHEAR PARAMETERS
               CORRESPONDING TO PLUME RISE DATA
Photo Date Pibal
Period 1968 Launch
Time
3


4

5


6
7


Oct. 17 0930
1000
1030
Oct. 17 1200
1230
Oct. 18 0830
0900
0930
Oct. 20 1230
Oct. 21 0830
0900
0930
a
dimension-
less
1.9
1.3
0.8
29.4
16.6
1.3
1.2
1.3
0.6
10.9
0.9
12.7
0 Q
dimension- per sec
less
3.5
1.2
8.1
6.3
10.9
3.5
4.0
5.0
6.0
19.8
19.8
24.8
0.012
0.013
0.015
0.001
0.001
0.012
0.017
0. 016
0.011
0,003
0.017
0.010
*
deg. per
meter
0.158
0.048
0.074
0.082
0.050
0. 152
0. 120
0. 102
00 144
0.056
0.060
0,048
      Values of the power law exponents are unusually large and variable
in Table IX and it was concluded that insufficient data existed for the appli-
cation of Murthy's suggestion.  Such large values may be the result of the
hollow in which the Keystone plant is located which reduces the low level
wind values and either increases or leaves unmodified the wind at higher
altitudes.  The data in the table indicate that large shear values in both
speed and direction are likely to occur at the site and it is not unreasonable
to expect,  on this basis,  that the n-values in Table VIII would come out to
be less than 0. 67.

      Now  we turn to centerline plume growth in the regime  of complete
fumigation.  As noted before, z / JL data were plotted as a function of down-
wind distance x/jfc. Here, height of the centerline was arbitrarily defined
as one-half of the distance from the ground to the plume top.   At such
large downwind distances,  the plume resembles a ground point-source
cloud, with base  limited  by the ground surface but with the top able to  grow
upward due to diffusion.  For  this  reason, zl i was measured,  in this  case,
with reference to the base of the stack rather than the stack top. This
permitted comparison of the growth with standard point source data at large
downwind distances.
                               60

-------
      Table X shows the values of n calculated from the region of complete
fumigation (x/4 between 1000 and 7000):

                                 Table X

        PLUME RISE PARAMETERS - COMPLETE FUMIGATION
       Photo Period
Time
n      Centerline Height at 2 km
          (above  stack height)
3
4
5
6
7
0945
1208
0927
1300
0902
. 120
.207
. 117
.439
.246
350m
530
280
500
290
      In contrast to the data shown in Table X, corresponding power law
growth values from standard diffusion estimates (o~z) are n = 1.07,  0. 92
and 0.62 for stability categories B,  C and D,  respectively.  The low
values of n in Table X indicate that the plume (except in Period 6) had
reached nearly to the top of the mixing layer and that  an asymptotic value
for the top height was being approached.  Considerable upward growth
still existed in Period 6 at the large downwind distance.  The  effect of
time of day is clearly seen in the table -where the centerline height  for the
two mid-day periods far exceeds the early morning heights.

      We now consider the interrelation between turbulence  (and larger
scale convective motions)  and the diffusing plume.  The simplest approach
is to note that soundings of the turbulence meter can quickly delineate  the
general regions of turbulent mixing.   6 profiles for the cases here  typi-
cally show high  values, corresponding to good mixing, near the  ground,
decreasing to low values at some  elevation of the order of 700- 1500 m
above the ground.   Clearly, such soundings show the  level to which mixing
can diffuse material rapidly.  The height of the  "lid"  increases from early
morning to afternoon.

      Table XI shows  the depth of the mixing layer  obtained  from e  profiles
compared to the observed  top of the smoke plume at some distance  down-
w ind of the plant.
                                  61

-------
                               Table XI
                    MIXING LAYER DEPTHS (MSL)
Photo Period
3
4
6

7

Time
0930-1030
1200-1400
1300-1400

0840-0945

Top Cloud
1000 m
1600
1500
2000
950

Downwind
Distance
2km
2
2
5
2

Top Mixing
Layer (e)
800m
1350
1000(at 1037)

700(at0856)
800(atl040)
Avg. e
50cm /sec
6
3

15

      Table XI shows that the mixing layer depth derived from the e  profile
is slightly lower than the top of the smoke plume.  This is  to be expected
with a huge,  buoyant plume.  The variations in depth are satisfactorily
portrayed.  It should be noted that the plume measurements for Photo
Period 6  were taken three to four hours after the sounding  data at which
time it might be expected that the mixing layer would have increased
beyond the depth shown by the £ profile.

      There  are several ways in which  e data may be used  to help predict
diffusion beyond the simple box-model discussed above.  The first involves
diffusion in the inertial subrange.
d
                                   A
                                = cet
(18)
where ar is  some characteristic dimension of the plume cross-section,  c
is a dimensionless constant of order unity,  and  t represents a time
beginning when the expanding cloud is very  much smaller than when it is
subsequently observed.  See MacCready (1964b) for background on applica-
bility.  Although it is not rigorous, this  predictive technique may  be help-
ful in the non-fumigation stage.  It is unsuitable  for later stages,  for then
vertical meandering will cause a difference between absolute diffusion
(long-time averaging) and the relative diffusion  for which Eq.  (18) can fit;
and also the  cloud will be  getting large compared to inertial subrange
scales.  In the present program, e was  not measured in the plume in the
main non-fumigation region and so the technique is inapplicable.   In
order to grow a cloud to 200m  diameter in  30 seconds,  as is the case  at
the Keystone Power Plant, Eq. (18) shows  e would be several thousand
cm2 sec3 ,  which constitutes extreme turbulence  for airplane flight.  To
examine the  points further,  note that Hoult, Fay, and Forney (1968) have
shown that atmospheric  environmental turbulence is relatively  unimportant
                                 62

-------
compared to the plume turbulence for plumes from high stacks reaching
up to their equilibrium heights.  This was found valid to distances ten
times the stack height, hence here beyond 2 km and beyond the typical
non- fumigation regime.  In summary,  turbulent observations appropriate
to the early plume must be made  in the plume.

      The  other techniques for applying e to  vertical diffusion prediction
involve calculating, empirically, the diffusing capability for large eddies
from the e value which pertains  to small eddies.   There are two approaches.
For one, we obtain the value of 
-------
needs to be taken into account,  and  b) the initial spread is dominated by
the plume turbulence rather than by environmental turbulence.   The
a300 and Kz computations are not given here because it can be seen they
are not really applicable.   They would be expected to be applicable beyond
several kilometers, but for the cases studied this is into the fumigation
and the box model areas.  When the  base  of the plume is at the ground and
the top is limited by an inversion, the vertical diffusion process -within
the layer is of only  secondary concern and is unobservable by the photo-
graphic method.

      During the evaluation, we employed another way of deriving km
                                                               1 /3
for Hanna's Kz formula.  This was to note the  variations of the  e '   trace
at one-second intervals and get a time (and hence space) scale  from the
autocorrelation curve. The results were comparable to (but slightly
larger than) the km predictions by Hanna's method.  Novikov and Stewart
(1964) have investigated e  fluctuation spectra as indications of intermit-
tency,  and found they  do not follow the same  spectral relationships as do
the normal turbulent motions.  Thus, using this method to obtain km must
be approached -with  caution.  Hanna's method of Kz  calculation,  coupled
to the estimation of km by the e  fluctuations does constitute an intriguing
technique for deriving possibly meaningful data on the diffusing capability
of the air from simple airborne measurements.  This sort of method
does seem to have worked quantitatively  on another MRI study of shore-
line diffusion,  but,  as noted earlier, the  Kz  method does  not seem to
be really useful in the present program.

      The discussion so far has pertained to vertical plume  rise and
diffusion, since the  available data are the photographic cross-sections.
Turning  briefly to the horizontal spread of the  cloud, we must first note
that photographic data are not available.  Also, although observers'
notes and particle deposits on the Moving Slide  Impactor give  some indi-
cation  of plume -width  during cross-wind traverses, such data are crude.
Some such data are  shown in the  next section.   The best data available
are those few detailed cross-sections obtained with the  lidar -which are
presented in the  SRI report.  As  to theory, the  airborne turbulence
measurements are not able to give information on the directional shears
which do the main broadening of the plume.  Thus,  we cannot say any-
thing quantitative about the horizontal spread of the smoke.  In a quanti-
tative sense, for Photo Periods, -we find a rather strong directional
shear at plume level and also find a wide  plume, ten times as wide as
it is deep.   For Photo Period 7,  there is  less directional shear,  and
much less  lateral spread.
                                  64

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VIII.  PRELIMINARY COMPARISON OF MODEL PREDICTIONS
      AND OBSERVATIONS

      The  ultimate value of the plume rise and diffusion data is to provide
a means for  calculating downwind concentrations.  Validation of the
concentration model would permit simulation of a range of environment
and stack conditions  and, hopefully,  frequency of occurrence of various
concentration levels.

      Most of the attempts to relate calculated and observed  concentrations
have made use, to  some extent, of calculated values of various of the
parameters required in the model calculations.  Data obtained  in the
Keystone program  permitted use of observed data on stack conditions,
meteorological environment, and plume  behavior in the model calculations.
Stack data, plume  size, and height as well as meteorological conditions
were all measured and available for use.

      Hogstrom  (1968) gives the downwind concentration as:

              Q exp(-v2/2ay3)  r    r  (z-h)3 n       r (z+h)2 -p,     .   .
           y = —-—c	_	y— i exp  - —	g~ i  + exp  - —	g- if     (23)
           *    2nayazu        I  FL  2az2  j     PL  2az2 JJ      "

where   \  = concentration (units/m3)
        Q  = rate  of emission (units/sec)
        y   = horizontal crosswind coordinate (m)
        z   = vertical coordinate (m)
        h   = height above ground of plume centerline (m)
        u   = wind speed (m/sec) at level h
        Gy  = plume standard deviation (m) in horizontal crosswind direction
        
-------
       METEOROLOGY  RESERRCH,[NC-
       PRRHCLE RND TURBULENCE  STUDY
       KEYSTONE,PENNSYLVRNTR
                           0930-1030  Oct.  17,  '68
                           a  obs.
                                          Wind Shear

                                       "-~ = 0.093 deg. per m
                            Centerline height
                            (photo & aircraft data)
                            Centerline height
                            (assumes constant at
                            last photo height)
                               obs.
'10°
— 1 —
2
r1
3
i
4
r r
5 6
r- r T— >
7 8 9 '
101
1 r 	
2
— i —
3
4
~T — r
5 6
7 8 9 "l Q2
         DOWNWIND  DISTflNCEfKni
Fig. 27.  CLOUD GROWTH CHARACTERISTICS, PHOTO
        PERIOD NO. 3
                           66

-------
o
            METEOROLOGY RESERRCH,[NC-
            PRRTECLE  RND TURBULENCE  STUDY
            KEYSTONE,PENNSYLVRNfR
                              1200-1230 Oct. 17, '68
                                        .A0
                                        Az
                                            Wind Shear
                                  = 0.066 deg.per m
                                  Centerline height
                                  (photo & aircraft data)
   10
2   3  456789 '] Q*    2    3   456709'} ft'
     DOWNWIND  DISTflNCEfKM )
     Fig. 28.  CLOUD GROWTH CHARACTERISTICS, PHOTO
             PERIOD NO. 4
                               67

-------
that OV  was considerably increased by directional wind shear.   This was
particularly noticeable in aircraft traverses when one edge of the plume
was quite sharp and distinct while the other was quite diffuse.

      Predicted SOa concentration  data are compared with helicopter
observations in Figs.  29 and 30.  Observed SOs concentration data peak
in the neighborhood of 3-5 km downwind which falls in the fumigation zone.
For this reason, observed peak concentrations are not modeled well by the
calculations from Eq. (23).  This is particularly true in the morning
period (Fig.  29) where the normal diffusion equation substantially under-
predicts concentrations at 3-5 km.  Eq.  (23)  gives the right order of
magnitude for the SO2 concentration when the atmospheric mixing
properties are relatively large (Fig. 30).
                                     68

-------
   o
   O
   cn-
   UD-
   r--
   10-

   JO-
   rn-
   c\i-
   O

   CD
   CD

   ID
'  ' LD
ZI
Q_
CL m.
CO
   CNJ-
O
  •7
  . O
en
or
o
CJ
   r\i -
  ro

   O
   CD
   CD-
   r-.

   ID-

   LT3 -
   m-
   O
      hETEOROLOGY RESERRCH,ENC-
                  RND  TURBULENCE  STUDY
                    [NNSYLVRNffl
                           0930-1030 Oct.  17,  '68
                                           --- Observations

         /   \/ \
            A  \  /\\
          / \  \  I  \\
          /  1042-1045 \1045-1052
          '           \
         /     	1 *—1057-1104
//
                      ;\
                      i  \
                        1033-1037
 /
          /
                              .Prediction.  Assumes constant
                               plume height beyond where
                               photo data available

                               0925-0939  should be zero.
                                      Zero values are plotted at
                                      2-10"  for convenience
      10°     2    3   456789 TQ1    2    3  ^561Q^\r^

                  DOWNWIND  DISTflNCEfKH]
Fig.  29.  S02 GROUND LEVEL CONCENTRATIONS, PHOTO PERIOD NO. 3

                                   69

-------
           METEOROLOGY  RESERRCH,[NC-
           PRRHCLE  HND TURBULENCE STUDY
           KEYSTONE,PENNSYLVRN[fl
                               1200-1230 Oct. 17, '68
                1129-1132 1117-H26
                                            Predictions
                                      	Observations
                           '1104-1112
   i L;     Z    3   45670 9101    2    3  45678CII]C2
              DOWNUIND  DISTRNCEf^ni
Fig. 30.  SO2 GROUND LEVEL CONCENTRATIONS, PHOTO PERIOD NO. 4
                             70

-------
IX.     CONCLUSIONS AND RECOMMENDATIONS

        This program has demonstrated the use of the airborne UITS
for handling various of field programs  in diffusion.  The instrument was
used to map the environmental turbulence field, and in particular ascer-
tain the top of the mixing layer.  It was used also  (1) to derive vertical
exchange coefficients to  explain the vertical transport  of the plume in
final stages  of development,  (2) to provide data for estimating TQ and z  ,
and (3) to help monitor and explain the  decay of the turbulence in the
initial plume.  For  all three  of these items the use of the UITS seems
valid but the experimental setup did not permit one to get a definitive
test of the technique. For the first two items there were not adequate
other data against which to make comparisons, and for both the  second
and third items the  flight trajectories used with the UITS  did not let
one obtain turbulence information adequate for a resolution of the problem.

        The technique of  doing plume  height and characteristics analyses
from 35 mm slides  from a single camera is  demonstrated to be effective.
Collecting particulates with the MSI to  help delineate across-plume
particulate characteristics also proved useful. Finally, the methods
employed to handle  all the data by digital computer techniques have  been
shown to be valuable.  Hindsight  clearly  shows how the field experiment
could have been improved.  There were gaps in the data because of
equipment malfunction; not having the Integrating Nephelometer  was
particularly troublesome.  The evaluation techniques for  the particulates
could have been far  more effective if the  knowledge acquired by the  end
of the  program had  been  available at  the start -- but such is the  case in
almost all programs.  Flight trajectories could have been designed  to
be more effective in answering particular questions,   considering the
constraints of flight coordination with other  aircraft and balloons.

        The main technical conclusions  are given in the appropriate  sec-
tions throughout the  report.  Certainly  more can be done  with the data
than was possible within  the limited scope of this program, but the
total data from the aircraft and ground  cameras probably do not  warrant
extensive further evaluation.  A complete field program can be based on
the long term compilation of gross data,  or  on a case study method
whereby a few events are observed   with such extensive  instrumentation
that all the dominant mechanisms are quantitatively delineated .  This
program involved the case study method but  was too limited in time  and
scope to provide the complete data which would be necessary  for getting
definitive answers.   The  problem of lateral  diffusion is especially
interesting.  The data available here on turbulence (from aircraft and
sounding balloons),  from the SRI lidars,  and from aircraft traverses
with the Moving Slide Impactor may be  adequate to apply to a  study of
                                  71

-------
this subject.  The Nephelometer cross-section data,  if available, would
have been very helpful for this, as would  e /  readings in the early
portion of the plume.

        The LAPPES field program, with  NAPCA, SRI, Sign-X, and MRI
all cooperating,  constitutes a good  example of the benefits of cooperative
work.  The benefits far outweigh the difficulties involved in the coordina-
tion and the problems of conflicting responsibilities.

        Various special  recommendations are given in the appropriate
chapters of this report.  The overall recommendations are that:

(1)     the present data not be evaluated more thoroughly by itself,
        although it constitutes an appropriate supplement for the other
        data on the program for general studies.

(2)     an equivalent program be developed for plume studies  in another
        region, presumably a coastal area.   This program would draw
        on all the experience gained in the LAPPES program so far.  It
        should be very carefully planned.  It should strongly emphasize
        the case study approach, bringing together whatever techniques
        are  required for adequately describing the time-varying environ-
        ment and plume  to considerable distances.

(3)     The UITS applications which are introduced here deserve further
        evaluation on simple field experiments designed specifically for
        that purpose.  All the applications described  are deemed promising.
        Of special importance is the use of the UITS to obtain total
        vertical exchange coefficient data  by combining direct  el/3
        measurements with a scale  factor derived from e*' ^ variability.
        This study should take advantage of  a thoroughly instrumented
        aircraft for  complete turbulence measurements (several are
        available) for providing definitive  comparison data.  The program
        would work most effectively if dovetailed into an area-diffusion
        experiment.
                                  72

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REFERENCES

Briggs, G. A.,  1969:  Plume rise.  Prepared for Nuclear Safety Infor-
      mation Center, Oak Ridge National Laboratory, by U. S.    omic
      Energy Commission,  Div.  of Technical Information, 81 pp.

Charlson, R.  J. , N. C.  Ahlquist, H.  Selvidge, and P. B.  MacCready,
      Jr. ,  1969: Monitoring of atmospheric aerosol parameters with
      the Integrating Nephelometer.  J.  Air Poll. Control Assoc. ,  19,
      12, 937-942.

Cramer, H. E. , G. M.  DeSanto,  K.  R. Dumbauld, P. Morgenstern,
      and R.  N.  Swanson, 1964:  Meteorological prediction techniques
      and data system.   GCA Rept. , Contr.  No. DA-42-007-CML-552,
      252 pp.

Goetz, A. , 1969:  A new instrument for the evaluation of environmental
      aerocolloids.  Environ. Sci.  and Tech. , _3, 2,  154-160.

Halitsky,  J. ,  1961: Single-camera measurements of smoke plumes.
      Intern.  J.  Air and Water Poll. ,  4, 314,  185-198.

Hanna, S. , 1968:  A method of estimating vertical eddy transport in the
      planetary  boundary layer using  characteristics of the vertical
      velocity spectrum. J. Atmos.  Sci.,  25,  1026-1033.

Hess, G. D. ,  and H.  A.  Panofsky,  1966:  The budget of turbulent energy
      near  the ground.   Quart. J. Roy.  Meteor. Soc. , 92, 277-280.

Hogstrom,  U. ,  1968: A statistical approach to the air pollution problem
      of chimney emission.  Atmos. Environ., 2,  251-271.

Hoult, D. P. ,  J. A. Fay, and L.  J.  Forney, 1968:  A theory of plume  rise
      compared  with field observations.   Publ.  No.  68-2, Fluid Mechanics
      Lb. ,  Dept. of Mechanical Engineering, Massachusetts Inst.  of
      Technology

Johnson, W.  B.  , Jr.,  and E. E. Uthe,  1969:  Lidar study of stack plumes.
      Final Rept. for NAPCA,  Stanford  Research Inst. , Menlo Park, Calif.
      Contr.  No. PH 22-68-33, 116pp.

MacCready, P.  B. , Jr.  , 1964a:  Standardization of gustiness values from
      aircraft.  J.  Appl. Meteor. , 3,  4, 439-449.
                               73

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MacCready,  P.  B. ,  Jr. ,  1964b: Comments on diffusion in the inertial
      subrange.   Proc. Conf. on Diffusion of Toxic Materials into the
      Atmosphere and the Underlying Theory,  23-24 March,  USAERDA,
      White Sands,  New Mexico, pp.  79-88.   Reprinted in Atmospheric
      diffusion in the inertial subrange,  Phase I,  by P.  B. MacCready,
      Jr. ,  B. L. Niemann,  and L.  O. Myrup, Interim Kept,  to Public
      Health Service, Atmospheric Research Group Rept. 67 IR-478.

MacCready,  P.  B. ,  Jr.,  and H. R. Jex, 1964: Turbulent energy measure-
      ments by vanes. Quart.  J. Roy.  Meteor. Soc.,  90, 384,  198-203.

MacCready,  P.  B. ,  Jr. ,  and C. J.  Todd, 1964:  Continuous  particle
      sampler.  J. Appl. Meteor. ,  3_,  4, 450-460.

MacCready,  P.  B. ,  Jr. ,  1966: Operational application of a universal
      turbulence measuring system.  Paper  pres.  AMS/AIAA Conf.  on
      Aerospace Meteorology,  Los Angeles, California,  March 28-31,
      13pp.

Murthy,  C. R. ,  1968: Wind tunnel modelling of chimney plumes.  Rept.
      68-78, Canada Centre  for Inland Waters, Burlington, Ontario, 50pp.

Novikov, E.  A., andR.  W.  Stewart, 1964:  The intermittency of turbu-
      lence and  the spectrum of energy dissipation fluctuations, Izv.
      Akad. Nauk SSSR,  Ser. Geofis. ,  408-413.

Pasquill, F. , 1962:   Atmospheric Diffusion.   D.  VanNostrand Co. ,  Lib.
      of Cong.  Card No.  61-13476,  297 pp.

Proudfit, B. W. ,  1969:  Plume rise from Keystone Plant.  Final Rept.
      by Sign-X  Laboratories,  Inc. , Essex,  Connecticut,  Contr. No.
      PH 86-68-94.

Scorer, R.  S. ,  1968:  The determination of  stack height.  Atmos. Environ. ,
      2_,  3,  225-226.

Slade, D. H. , 1965:  Dispersion estimates from pollutant releases of a
      few seconds to 8 hours in duration.  Tech. Note 2-ARL-l,  Air
      Resources Lab. , ESSA,  U. S. Dept. of Commerce, Washington,
      D. C. ,  23  pp.

Slade, D. H. , 1969:  Wind measurement on  a tall tower in rough and
      inhomogeneous terrain.  J. Appl.  Meteor. ,  8_, 293-297.

Slawson, P.  R. , and G.  T.  Csanady,  1967:  On the mean path of buoyant,
      bent-over  chimney plumes.   J. Fluid  Mech. , 28, Part 2, 311-322.
                                   74

-------
Slawson, P. R. ,  1967: Observations of the mean path of buoyant bent-over
      plumes from large industrial stacks.  Ph. D.  thesis, University of
      Waterloo,  Waterloo, Ontario, Canada.   117pp.

Swinbank, W.  C. , 1964:  The exponential wind profile.  Quart. J. Roy.
      Meteor. Soc. , 90, 119-135.

Tennessee Valley  Authority, 1968:  Full-scale study of plume rise at
      large electric  generating stations.

Veress,  S. A.,  1969:  Study of the three-dimensional extensionof polluted
      air.  Final Tech. Rept. , Univ. of Washington to Natl.  Center  for
      Air Pollution Control,  Bureau of Disease Prevention & Environmental
      Control, PHS  Cont. AP-00661-01.

Wasko,  P. E. , and H. Moses, 1961:  Photogrammetric technique for
      studying atmospheric diffusion.   Photogrammetric Eng. , March,
      92-98.
                                  75

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                         Appendix A
QUANTITATIVE PLUME DATA FROM GROUND PHOTOGRAPHS











                             by





                      Margaret C.  Day
                              A-l

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Introduction

      During the October 1968 field program at the Keystone Power Plant,
a large number of data-gathering activities were conducted simultaneously
by several groups.  One of the MRI activities was to make sequential
photographs of the plumes from a camera set on the ground well off to the
side.   The main goal of the photographic work was to obtain data on the
plume rise and plume characteristics, to serve as a framework for the
interpretation of data from the aircraft,  and to serve for the verification
or upgrading of plume motion predictive equations.

      Another aim of the photographic experiment was to gain experience
with the usefulness of technique in the general area of plume studies, so
that design of future experiments  could  be aided.  As with any observa-
tional technique, there are both good  and bad features of the photographic
method.  On the good side, observations are inexpensive and simple to
make, and the series of photographs contain a tremendous amount of
information on the spatial and time-varying  properties of the plume.   One
limitation which is troublesome in many instances  is that the plume being
studied must contain enough particulates to  make it visible, and the
background conditions and lighting must also be  such as to make the  plume
stand out. Another  limitation is that  each photograph gives only integrated
two-dimensional information about the plume.  Nevertheless, by carefully
choosing the geometry of the setup, the derived  data on plume dimensions
and location can be very useful.   The camera technique is basically good
for delineating plume edges, not for directly indicating concentrations,
but the edge statistics are often quite helpful in permitting the analyst to
derive information on concentrations.

      The main body of this report and this  appendix demonstrate that very
useful data can be derived from the photographic method,  even  with  rather
simple techniques.  The value on other  projects can be even greater if
more refined techniques are employed -- the greater use of automation in
data reduction, better optimizing of contrast factors,  stereo photogrammetry,
etc.  The advanced techniques and equipment of photogrammetry,  now
extensively used in other fields, would make very significant contributions
to air pollution research and control.

      This appendix examines the methods used on this project  to derive
data, and gives illustrations of the  resulting data.  Figure  1 is  a flow chart
showing the steps involved.  Subsequent sections of this appendix give
explanations for each block on Fig. 1.
                                  A-2

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                            Field
                            photography
                           Edit and log
                           photos at MRI
             Prepare
             calibration
             plastic templates
Prepare
controlled
tracings
                         Digitize plume
                         dimensions in camera
                         plane from tracings
                           Calculate mean
                           winds per group
                           of photos
                      Calculate incremental
                      downwind distances for
                      each photo period
                      (function of angle between
                      mean wind and camera
                      plane through source)
Fig. la.  ANALYSIS OF GROUND PHOTOS.  SYSTEM FLOW CHART
                                 A-3

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                       i
          Perform computer analysis
          of variances and changes in
          plume outline over a time
          period
                  Perform
                  manual
                  analysis
                     Are
              results meaningful
               meteorologically
No
                       Yes
        Redefine
        time periods
1
Plot mean
( i
plume
path and its standard
deviation on plan
map of Keystone
Plant for determin-
ing of possible inter-
action of cooling
tower steam and
particulate plumes





. i

Plot camera
site, mean
plume path
and lidar
profiles when
available on
USGS maps





i

Plot true plume
profile and stan-
dard deviations
along with wind
and temperature
profiles

Fig. lb.  SYSTEM FLOW CHART (Continued)
                     A-4

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Field Photography

      The ground photography was done with an Argus C-4 35-mm camera,
having a 50-mm lens.  Kodachrome II film was used, with an ultraviolet
filter.  Picture series were made, with one frame every 2-3 minutes
when the atmosphere was unstable and every 3-5 minutes under stable
conditions.

      It has been demonstrated  by the Tennessee Valley Authority (1968)*,
Scorer  (1968),  Halitsky (1961),  Wasko and Moses (1961), Slawson (1967),
and others that oblique ground photos  can be used for retrieval of quanti-
tative data when proper controls are applied.  The following were
considered in choice of camera setup  for the ground photography:

(1)    A camera site which would put the camera  axis as nearly normal as
      feasible to the plume  and  far enough away to give a high probability
      that the true top of the plume is seen (note  that aircraft observations
      were sometimes used to establish top conditions more accurately).

(2)    The camera site,  along with visible features seen in the camera's
      view,  would be accurately identifiable on a large-scale U. S. G. S.
      map.

Figures 2 through 8 summarize the camera locations, winds, and other
data for all the series.

Editing  of Photos

      Raw film was  developed without cutting film strips to retain their
sequence and preserve detail to the edge of every frame.  These were
edited and logged using a 35-mm projector modified by MRI to accept
film strips.

      All of the photographs were found to be of excellent quality.  During
two of the periods,  there were high, thin altocumulus clouds behind the
plume,  but the plume dimensions  were discernible due  to its different
nature.  Higher resolution of the difference could be obtained in future work
with the use of a double camera mount for stereo-measurement when back-
ground  clutter becomes  a problem.  The success of this study demonstrates
that  consideration should be given to future photographic studies  using
engineered camera arrangements and automated  stereo-reduction equip-
ment.  The desired transport and diffusion information could be obtained
quickly  and cheaply.
'-^References are  collected at the end of the main body of the report.
                               A-5

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                        n p
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      During this initial qualitative editing,  the  effects of the steam from
the cooling towers became apparent.  At times, it was noted that the
steam seemed to be rising through the plume, causing creation of small
cumulus clouds which separated themselves from the plume and continued
to rise because of their own buoyancy.  It was decided to include analysis
of the relative paths of the two plumes as one goal of quantitative
reduction procedures.  The  study of the merging of the plumes  is
especially important with respect to evaluating particle data relative to
direct collection and to the lidar.  The high humidities should affect
hygroscopic particles.   Since the operative  coolers and the stack are
roughly in an  E-W line, from Figs.  2 to 8 it can be seen that October 20
should represent such a day. Data on this subject are examined more
completely in the main report.

Preparation  of Calibration  Templates

      A goal of ±10 meters of accuracy for top and bottom plume boundaries
was set as needed for valid  delineation of plume behavior over  distance.

      A 5 x 7  black and -white print was made of selected typical examples
of the photos.  These were used for photo interpretation and accurate
identification of known features:   roads,  railroads,  terrain details.    A
power line became identifiable on the 1:24,000 U.S. G.S. map.   Relative
position,  height,  and dimensions of the Keystone stacks and cooling towers
were used to  confirm calculated distances on the camera plane through the
source.

      Exploratory work on these photos was feasible because only two
camera sites  were used over the seven photographing periods.   Each
additional camera site  compounds the calculations formidably when
calibrations are calculated by hand, as they were in this case,  with an
Olivetti-Programa 101 Desk Computer as the only aid.  The method is
now straightforward and clearly defined; therefore,  it could easily be
computerized to allow a freer choice of camera sites  for future work.

      Vertical calibration:

            See Fig. 9.
            Parameter accuracy:
                Stack dimensions  are published and surveyor accurate.
                Measurements  from 1 :24, 000 U. S. G. S map:
                1.   Horizontal  - measured in kilometers from map scale.
                    100 percent confidence at ±50 meters.
                2.   Vertical -  (20-foot contour intervals)  100 percent
                    confidence at ±3 meters.
                                A-13

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Keystone Calculations
 Camera
Site East
 Camera
Site South
Stack height (h)
Camera elevation
Horizon elevation
Stack base
   b
   c
   tan 9 (b/c)
Distance from camera
 244 m
 320 m MSL
 335 m MSL
 308 m MSL
  15 m MSL
1360 m MSL
   0. 011029
 244 m
 297 m MSL
 335 m MSL
 308 m MSL
  38 m
2370 m
   0.016033
to stacks
e (d tan
a



f (e - a)
(d)
9)





Visible stack height (g)
tan a (^
a
; + e ">
d y

2540
28
-12



40
204
0
5
m
m
m



m
m


camera
above
stack
base


. 09133
°13
i
i
3870
62
+11



51
193
0
3
m
m
m



m
m


camera
below
stack
base


. 06589
°46
i
     Fig.  9.  VERTICAL CALIBRATION FACTORS AND GEOMETRY
                                A-14

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                Elevation of stack base MSL known exactly.
                Elevation of camera site interpolated from map contours.
                Elevation and relative distance of horizon between camera
                and stacks  established after drawing an engineer's terrain
                profile along the line of sight from camera to  stacks.

      The angle, a, to the top of the stack could be calculated from known
parameters.  Using this as an anchor point,  the template-inches/vertical
degree were assumed to be related linearly to the tangent of each even
vertical angle.  Parallax at the edge of the photo was not considered because
the plume was near stack top at the source edge and plume boundaries were
seldom measured to the downwind  side of the photo.  The camera was  set up
to place the stack top almost at the vertical center of the photo where
vertical parallax is absent or negligible.  Until parallax is considered, there
will be a small but  increasing error  in measurements on the downwind half
of the photo.

      Horizontal calibration:

            See  Fig.  10.

      The camera has a known horizontal angle of ~40°,  accuracy of which
never had to be  determined because horizontal distances were never measured
to either the right or left edge of the photo.  Known features such as the stacks,
a horizon power pole, terrain features, and landmarks were used to deter-
mine the location of the vertical center line of the field of view. All hori-
zontal measurements were  made either to  the right or left of this line.   The
known distance from the stacks to  this vertical plane was then divided into
convenient increments  (Camera site East:  A0 =  50 meters, Camera  site
South: A0 - 100 meters) with  AQ  remaining constant downwind from the
vertical center line.   The horizontal distances were calibrated in absolute
distances because only two  camera sites were used and  only two plastic
templates were  required and  a further mathematical conversion could be
avoided.   For the case where many camera sites are used, the calibration
would be done in degrees right and left of center  to create a universal tem-
plate and conversion to absolute distances  would  be part of the  computer
program.  These would be, of course, a function of distance of the camera
from the source and would  require uiat more be known about the camera
angle and lens parallax.

      A grid was photographed with the camera used in this study.  It was
found that lens distortion was minimal, well •within the accuracy of the other
parameters.  The apparent tilt of the stacks near the edge of the photo was
confirmed as giving an accurate measure of this.   The vertical lines were
allowed to converge by this small amount and otherwise; for expediency,
                                  A.15

-------

-------
no other correction was applied for lens  distortion.  A careful quality
control was applied to the templates.  It  was found that they would give an
accuracy of ±3 meters at the mean distances to be considered.  Encouraged
by this  success, the work was continued. Preparation of final templates
was delayed until the projector setup was known and its geometry established.
Scales were chosen which would  allow the easiest reading  of incremental
plume dimensions.  It was found that preparation of final templates using
the constant projector-screen relationship eliminated the need for a complex
examination of real-life-to-camera plane-to-film-to-projector-to-screen
relationships  (Halitsky,  1961).

Controlled Tracings

      See Figs. 11 through 15.  These are examples of the cases for a
variety of circumstances.  More complete presentations are in the data
volumes and main body of this report.

      The photo package  contains 170 35-mm color slides  divided into  seven
photographing periods.  Each  slide was projected onto a screen from a
constant projector setup.  For this study, an individual tracing was made
of the visible plume top and bottom for each slide.  The behavior of the
winds had not yet been analyzed; therefore,  it was not known what the  final
time-grouping would be.  Note •was taken of

(1)   High-confidence sharp plume dimensions (no guesses were attempted
      when the outline could not  be  seen  clearly).

(2)   Conditions of fumigation when smoke was clearly being transported
      to the ground; therefore, no bottom outline was visible except its
      path from the stack to the  ground.

(3)   Trajectory of the steam plume from the cooling towers and the outline
      of its apparent mingling with  the plume.

(4)   Any abrupt change  of plume behavior during each series.

(5)   Location of known features (stack,  roads, power poles,  even clumps
      of trees or buildings), to allow proper registration of the plastic
      template on each tracing,

      A possible great saving of time should be considered for a new study
of this kind.   The  work of preparing these tracings could be eliminated if
a universal template were used on the projection screen whereby the
dimensions of the  plume  could be digitized directly from the projected slide.
The more laborious method of the tracings was used for this study  to obtain
a hard copy of the data for analysis.
                                   A-17

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Digitization Vertical Profile of Plume

      A data form was prepared for each camera site keyed to the known
horizontal distance in the camera plane from the vertical photo center
to each vertical line  of the templates (the distances "o" - Fig.  10).

      A vertical angle accurate to the nearest 0. 5° was read to the plume
top and plume bottom at each horizontal increment.  These data were
transcribed onto the  data form.   Appropriate data  flags were used to
denote when one plume edge could not be  seen (always the bottom edge in
this study) or when fumigation was  occurring.  The possibility of both
occurring was not accepted.  Fumigation was not defined if it could not
be clearly detected visually.

      The "o" values along with vertical angles from the data form were
then key-punched for input to a FORTRAN IV computer program designed
to calculate the  true  dimensions of the plume profile.   These were held
until wind analysis was made (see Flow Chart,  Fig. 1).

Calculation of Mean Wind per Photo Period

      See Fig.  16.

      It can easily be seen that  6,  the angle between the camera plane
and the path of the smoke to be measured, is critical to calculation of
acceptable plume dimensions.

      Every 30 minutes during this field program, pilot balloons  (pibals)
were being launched from the base  of the stack and tracked by two theodo-
lites.  The raw  theodolite readings were processed through a standard
double theodolite pibal computer program.  Wind vectors were calculated
and listed at the end of every 30 seconds of flight,  then interpolated and
listed for every 50 meters  of altitude.  This computer program calculates
and lists error factors, rho and delta, which show the relative disagree-
ment between readings of the theodolites.  Analysis of these allows
detection  of wind speed or direction values attributable to incorrect
theodolite readings instead of atmospheric behavior.  Close study was
made of all pibal data associated  with the photographing periods.  All
questionable data were eliminated.   Pibal data finally used for this  study
are listed in Tables  I through VII.

     A starting point for this work was Single-Camera  Measurement of
Smoke Plumes by James Halitsky,  1961.  Mr. Halitsky's section,
Experimental Procedure,  describes clearly the obvious effects of wind
fluctuations over altitude and time on the  transport of stack effluent and
its position relative to the camera plane.   In recognition of the fact that
                                 A-23

-------
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A-24

-------
                                Table I

                       KEYSTONE MEAN WINDS
                             PIBAL DATA

                           October 16, 1968
Height
m
50
100
150
?00
250
300
350
400
450
500
550
600
650
700
750
800
850
900
950
1000
1050
1100
1000
WS
m/s
0.8
1.9
2.7
3.3
3.9
3.5
3.8
4.8
6.5
7.4
5.6
6. 0
5.2
4. 5
4.2
3.5
2.9
2.4
2.0
2.2
2.3
1.8
EDT
WD
Azi
92°
91
100
117
144
150
157
167
176
183
199
189
180
172
168
163
155
145
120
109
115
111
1030
WS
m/s
1. 1
2. 1
2.4
3.3
3.5
4.1
5. 1
6.1
6.0
6.5
6.2
5.0
4.4
3.4
3.4
4.0
3.2
3.3
3.8
3.8
2.8

EDT
WD
Azi
79°
90
106
122
132
146
157
164
175
184
190
189
176
157
144
137
127
114
110
110
104

1100
WS
m/s
1.7
2.0
2.2
2.5
3.0
3.6
5.3
5.7
6.1
7.0
6.9
6.7
5.7
4.6
4.3
4.0
3.8
4.1
4.6
4.0
4.2
3.8
EDT
WD
Azi
87°
101
119
132
136
135
147
153
158
162
178
180
177
166
155
145
127
124
120
102
103
101
Mean
WS WD
m/s Azi
1.2
2.0
2.4
3.0
3.5
3.7
4.7
5. 5
6.2
7.0
6.2
5.9
5. 1
4.2
4.0
3.8
3.3
3.3
3.5
3.3
3. 1
2.8
86°
94
108
134
137
144
154
161
170
176
189
186
178
165
156
148
136
128
117
107
107
106
Mean  4.4 m/s   Std.  Dev.   1.3 m/s

Mean  148°      Std.  Dev.  27°
                                   A-25

-------
            Table II

    KEYSTONE MEAN WINDS
          PIBAL DATA

         October 16,  1968
Height
m
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
1130 EOT
WS WD
m/s Azi
3.0
4.4
4.4
4.3
4.0
3.6
3.3
3.2
3.1
2.9
2.7
2.8
3.6
4.1
4.2
5.2
157°
154
153
151
146
139
133
134
134
137
141
144
142
143
145
154
Mean  3. 56 m/s  Std. Dev.   0.722 m/s

Mean  141°       Std. Dev.   6.1°
                A-26

-------
                               Table III

                       KEYSTONE MEAN WINDS
                             PIBAL DATA

                            October 17,  1968
Height
m
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
900
950
1000
0930
ws
m/s
0.8
1.9
2.8
4. 1
6.2
6.9
7.9
8.5
8.9
9.2
9.4
9.8
10.4
9.6
9.1
9.0
7.2
7.4
8.3
8.2
EDT
WD
Azi
95°
115
126
140
152
160
164
171
179
185
189
192
192
195
197
197
195
192
193
198
1000 EDT
WS WD
m/s Azi
1.2
2. 0
2.7
4.2
4.6
5. 1
5.9
6.1
6.6
7.5
8.3
9. 1
9.9
10. 1
10. 1
9.6
7.8
5.1
5. 9
7.2
131 °
147
160
162
158
153
150
153
159
166
172
179
189
194
196
195
192
200
203
203
1030
WS
m/s
0.8
1.5
1.6
1.8
2.5
3.4
3.7
4.5
5.9
6.8
7.3
7.9
8.6
8.7
8.4
8.0
7.4
6.0
7.0
8.3
EDT
WD
Azi
154°
155
156
156
149
144
161
183
179
186
188
191
195
197
197
195
194
199
199
198
Mean
WS WD
m/s Azi
0.9
1.8
2.4
3.4
4.4
5.1
5.8
6.4
7.1
7.8
8.3
8.9
9.6
9.5
9.2
8.9
7. 5
6.2
7. 1
7.9
127°
139
147
153
153
152
158
169
172
179
183
187
192
195
197
196
194
197
198
200
Mean  7. 5 m/s   Std.  Dev.  1.6 m/s

Mean 183°        Std.  Dev. 16.8°
                                 A-27

-------
                            Table IV

                    KEYSTONE MEAN WINDS
                          PIBAL DATA

                        October 17, 1968
Height
m
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
900
1200 EDT 1230 EOT Mean
WS WD WS WD WS WD
m/s Azi m/s Azi m/s Azi
2.5
4.3
4.7
4.6
4.4
4.5
4.2
4.0
4.3
4.8
4.8
4.4
4.2
3.9
4.3
4.2
4.6
5.2
1?5° 2.7 131° 2.6 128°
139 4.2 134 4.25 136
140 4.0 138 4.35 139
136 4.6 154 4.6 145
138 3.9 158 4.15 148
151 4.9 151 4.7 151
157
162
160
165
165
166
160
159
164
171
174
175
Mean   4. 4 m/s

Mean 163°
Std. Dev.  0. 36 m/s
Std. Dev.  7.8°
                                A-28

-------
                               Table V

                       KEYSTONE MEAN WINDS
                             PIBAL DATA

                           October 18, 1968
Height
m
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
900
950
1000
1050
1100
1150
1200
1250
0830 EDT
WS WD
m/s Azi
1.4 86°
3.3 102
4.7 114
5.9 125
7.2 136
8.1 144
8.4 150
8.6 153
9.3 152
















0900
WS
m/s
1. 5
2.6
3.5
4.6
5.7
6.9
8.1
8.9
9.9
10. 3
10. 1
10.3
11.9
12.6
13. 1
12.4
13. 0
14. 0
11.6
11.7
9.4
10.3



EDT
WD
Azi
90°
104
120
136
146
151
156
156
154
160
165
170
173
177
182
191
192
190
200
198
204
204



0930 EDT
WS WD
m/s Azi
0.8
2.1
3. 5
4.8
5.7
6.4
7.0
7.8
9.2
9.2
10.8
12.2
12.8
11.4
13.7
16.7
13.8
16.4
18. 1
19.3
11.3
14.6
18. 1
7.6
9.4
98°
121
133
142
146
150
153
156
159
163
165
166
167
174
175
176
188
187
188
188
203
195
190
205
195
Mean
WS WD
m/s Azi
1.2
2.7
3. 9
5. 1
6.2
7. 1
7.8
8.4
9.5
9.8
10.4
11.2
12.3
12. 0
13.4
14.5
13.4
15.2
14.8
15. 5
10.3
12.4



91 °
109
122
134
143
148
153
155
155
162
165
168
170
175
178
183
190
188
194
193
203
200



Mean  11. 3 m/s     Std. Dev.   2. 9 m/s

Mean 173.5°        Std. Dev.  18.6°
                                  A-29

-------
           Table VI

    KEYSTONE MEAN WINDS
          PIBAL DATA

         October 20,  1968
Height
m
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
1230
ws
m/s
2.2
3.0
3.0
2.6
2.2
2.1
2.6
3.1
3.6
4.2
5.1
6.0
7.0
7.1
8.1
9.5
EOT
WD
Azi
310°
309
307
284
262
248
248
251
264
273
275
275
275
274
282
289
Mean   5. 0 m/s   Std. Dev.    2. 5 m/s
Mean 268°         Std. Dev.   13.4°
              A-30

-------
         Table VII

  KEYSTONE MEAN WINDS
        PIBAL DATA

      October 21, 1968
0830 EDT
Height WS WD
m m/s Azi
50
100
150
200
250
300
350
400
450
500
550
600
650
700
750
800
850
'100
950
1000
1050
1100
1150
1200
2.7
4.7
6.3
7.8
8.4
8.7
8.7
8.4
8.5
9.0
9.2
7.5
8.4
9.6
8.6
9.4
8. 1
7.3
8.9
10.9
5.8
10.5
11.3

284°
288
294
300
305
309
312
317
323
326
329
331
326
322
322
321
322
324
323
323
326
323
323

0900 EDT
WS WD
m/s Azi
1.5
3.3
5.0
6.1
6.8
9.2
10. 5
8.2
8.3
8.6
8.5
7.7
8.4
8.4
8.4
8. 1
8.8
10. 0
11. 6
8. 1
6.2
8. 8
9. 1
7.2
278°
286
291
296
308
305
305
312
318
322
324
323
322
325
326
326
326
325
324
328
328
326
326
328
0930 EDT
WS WD
m/s Azi
1.7
3. 1
4.5
6.1
7.4
7.9
7.5
7.6
7.9
7.4
7. 1
7.5
8.1
8.7
8.1
8.5
8.8
9.1
10.2
9.8
9.6
9.8
8.3

288°
295
304
310
314
316
316
317
318
318
319
322
325
327
329
329
329
327
326
326
326
327
325

Mean
WS WD
m/s Azi
2.0
3.7
5.2
6.7
7. 5
8.6
8.9
8. 0
8.2
8.3
8. 3
7.6
8.3
8.9
8.4
8.7
8.6
8.8
10.2
9.6
7.2
9.7
9.6
7. 2
283°
289
296
302
309
310
311
315
320
322
324
325
324
325
326
325
326
325
326
326
327
325
324
328
Mean    8. 5 m/s

Mean  322°
Std.  Dev.   0. 8 m/s

Std.  Dev.   5.9°
            A-31

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A-32

-------
these fluctuations could introduce error, careful consideration was given
to Mr. Halitsky's section, Evaluation of Errors.  His calculation of
errors was based upon a single ground-level wind direction recorder.
Since Keystone stack is 244 meters high and effluent is known to be trans-
ported to >1000 meters above the ground,  a four-dimensional study was
indicated for true photographic error analysis.  Such a temporal and
spatial experiment could lead to higher order and more  significant photo-
graphic measurement of plume transport and diffusion.

      Since the work herein described was still at the feasibility stage,
it was decided to repeat Mr.  Halitsky's assumption of a mean wind speed
and direction for each photographing period.  Immediately,  it was
obvious that the accuracy of the true vertical dimensions of the plume
profile is critically dependent upon the calculation of the mean wind
vector.   Since pibal data •were grouped over time periods,  it was neces-
sary to ascertain that pibal data were grouped into time periods during
which atmospheric conditions were relatively constant.   This partially
explains  the iterative loop "A" in the  system flow chart  (Fig.  1).  The
transitional periods of atmospheric change are not instantaneous and it is
during these periods that plume behavior is most unpredictable.  The
photogrammetric technique along with high-order wind data and ground
sampling could yield new insights into diffusion of effluent during transi-
tion for a small cost.  Predictive plume models are, at present, confined
primarily to constant,  known atmospheric  conditions.  The models would
benefit from knowledge of the probabilities of ground pollution during
highly transient meteorological conditions.

      From the pibal data, mean wind speed and direction along with their
standard deviations (Table VIII) were calculated for each photo period
covering the atmosphere from stack top  to estimated plume top.  No
winds below stack top were used in calculation of mean wind but they are
displayed for  each photo period along with  temperature and plume profiles,
as we will see later.  It should be  noted  that because winds well aloft
were finally considered important and a  storm front passed over the area
during the days of this  field -work,  some sizable standard deviations
resulted.  This was applied as a confidence factor.  Also, pibal data do
not yield the vertical wind vector (z and  sigma z) for inclusion.  Accurate
high-quality field measures of the  z  component could serve as  a basis
for interesting future work as it is  considered by meteorologists to be an
important diffusion factor.

Incremental True Downwind Distances
(See Fig.  17 for graphic definition of variables. )

      When a  mean wind plane is established for a  given time-series of
photographs,  the angle, 6,  can be calculated and the translation of
                                 A-33

-------
The following distances  relate to
the calibrated horizontal distances
on the plastic templates:
    r = rn
    o =
ND.
         n
         i
          n
   max
                                           omax  -
 DWD = DWDn
   ND = ND
           n
Other values are constant for
each photo period.
                                        DWD
   max
Incremental nadir distance
in mean wind plane
DWD from stack to nadir
plane
Horizontal distance from
the camera axis  to the
stacks in the film plane
through plume  source
Longest visible DWD per
photo period
      Fig.  17.  HORIZONTAL PHOTOGRAMMETRIC GEOMETRY
                                  A-34

-------
horizontal distances in the camera plane through the source as measured
by the plastic template to actual downwind distances  (DWDn) is a simple
trigonometric calculation.  All azimuth angles are referenced to true
north (TN) for consistency*.


       Procedure for calculation of true incremental  downwind distances


 1.              tan0n  = —  and tan  rn = -^                         (1,2)
                          n                a

 2.                 o'n  = ktan rn                                       (3)

 To calculate  NDn from the vertical nadir plane in the upwind direction:

 3A.        Since    $n =  180° - (^ + 8)                               (4)

              and    sin $n = sin [180° - (0n + 0)]

              and    sin $n = sin (180° - $n)

             then    sin (180° -  $n)= sin [180°  -  (^ + 0)]

              and    sin $n =  sin (0n + 0)

        therefore    sin $n =  sin !/Jn cos  0 + cos 0n sin 0 .              (5)

 To calculate  NDn for incremental distances from the vertical nadir plane
 in the downwind direction:

 3B.        Formula (4) above  becomes

                     $n =  180° - [0  + (180° - !/)n)]

             then    sin $n =  sin (0n - 0)

        therefore    sin $n =  sin j/)n cos  0 - cos 0n sin 0 .              (6)

 NOTE:  3A and 3B apply to the geometry as shown in Fig. 17.  It must be
         remembered that for the case when the mean wind is transporting
  It should be noted that lidar geometry is referenced to magnetic north.
  There are six degrees of magnetic declination at Keystone, Pennsylvania.
                                  A-35

-------
        the plume closer to the camera site than the film plane through the
        source rather than away from it, as was the case in photo period #7,
        these formulas must be used in reverse order.  (6) applies to up-
        wind half and (5) applies to downwind half of photo.

4.    By the  Law of Sines, then:

                      NDn    _    o'n
                     sin i/)n  "   sin  $n
                   .'.    NDn =   n "" "n                                (?'
                           11    sin $n


5.    True incremental downwind distances from the stacks to the center
      of the photo are computed:

                    DWDn = NDmax -  NDn

6.    True incremental downwind distances from the center of the photo to
      the last downwind calibration:

                    DWDn = NDmax +  NDn

      The calculated true downwind distances were key-punched to be used
as input to a computer program in the next  step of the analysis.  In all,  the
loop "A" in the system flow chart,  Fig.  1 ,  was iterated three times.   The
above DWD 's were recalculated each time as the time periods were
redefined.   Forms were designed for rapid recalculation.  Many of the
values remained constant,  only those dependent on the angle  (3   changed,
thus great flexibility in looking at the effects of the time factor on the mean
wind plane was possible,,

      The necessity for this iteration loop could easily be eliminated in
future work if three things  were done (Slawson, 1967):

(1)   Detailed observer's  notes kept by a meteorologist at the camera
      station.

(2)   Complete  and accurate four-dimensional measurements of atmospheric
      parameters, temperature, wind speed and direction, pressure,
      humidity,  etc. ,  from the ground to at least a predetermined distance
      above the  top of the plume at frequent intervals.

(3)   All data precisely keyed to time and location.
                                  A-36

-------
Computer Calculation and Statistical Analysis of Plume Profile

      See Figs. 18, 19, 20, and 21 for typical output.

      Calculation of the incremental vertical plume profile per photo
period was the final mathematical operation needed.  Since there were
170 digitized tracings each containing as many as 35  increments and it
was planned to redefine the time periods for repeated runs if the results
were  not meaningful meteorologically, a simple  computer program was
written for economy.

      Inputs:

      d in meters, one for each camera site.
      sin  g, one for each time period.
      DWDn, one set for each time period.
      o in meters
      Elevation angles  from
      digitization of tracings
      (Jn,  Fig. 16)
one set for each photo
The following calculations were made and listed (Fig. 22) for each photo
during a series.   (See Table IX)

                      Adn =  DWDn sin 0

                    D+DDn= d + Adn

Each  increment has two values for  qn, qtop *s the height of the visible
plume top, and  qbottom is the height of the visible base of the plume above
the camera elevation at the same true downwind distance (DWDn)

                       qn =  D + DDn tan Jn

These incremental plume dimensions are  listed by the computer in both
feet and meters.  A "999" flag was used when a part of the plume outline
could not be detected on the photos and data were ended when both plume
dimensions faded.  The key for visible fumigation was use of a  very small
angle based on the mean angle to the horizon for each camera site, 0. 1 °
for Site East and 2.0° for Site South.

      Input data as well as processed results are listed in the output of the
computer program.  All of the qtop and  ^bottom values were  saved on
magnetic tape.  This was used as input to a second phase of the computer
program which, when instructed how to group the photos,  computes a
                                A-37

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   temporal mean q^op  an<^ mean ^bottom al°ng with their standard devia-
   tions over a series of pictures at each downwind distance (DWD).  These
   were studied and, when necessary, plotted next to the wind and temperature
   profiles.  Then,  it could quickly be determined whether the wind data had
   been grouped into periods of definable meteorological conditions or whether
   a transition such as stable to unstable had occurred which would cause
   wild standard deviations in the plume outline introducing an intolerable
   error in measurement of the transport and diffusion of stack effluent.
                                  Table  IX
            VALUE OF VARIABLES FOR EACH PHOTO PERIOD
                                     1968

Constants
per photo
period :
d
Ad0
°max
B
k(d+Ad0)

Calculated
tan g
cos 8
sin F
NDmax
DWDmax

Oct. 16
1000 to
1110 EDT
Period 1



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-------
Data Displays

      This photogrammetric analysis was undertaken primarily to provide
graphic displays of true plume behavior for meteorological analysis of
the stack effluent diffusion.  It was hoped that plots could be drawn from
which the calculations of computer plume models could be confirmed or
denied.  There was need to know the mean plume center line,  mean plume
rise, evidences of "overshoot" in the profile, and determine confidence
in this calculated mean center line.

      The data output from the computer statistical analysis was  plotted
at a large scale (1" = 100 m).  These working plots were simply photo-
reduced for inclusion in this report (Fig.  23  is a representative example).
Display of the mean plume top and its incremental  standard deviations
was straightforward.  Behavior of the bottom profile required a subjective
analysis  of each calculated profile in a time period.  Each plot is annotated
with information considered germane to the profile displayed.   The
standard deviations of the visible base of the plume were individually
studied because the real-life diffusion became obscured over some time
periods through grouping of data.  Standard deviation of the movement of
the plume base is displayed on these plots only to the point where all
effluent  could be  confirmed as being airborne, a short distance downwind
of the stacks in most cases (see computer output, Figs. 18 through 21).
Beyond this point,  individual profiles are shown and identified as  to time
in order to retain the nature of the movement.

      Due to the limitations of photography used for this study, it is not
expected to attain a high degree of correlation between instantaneous
plume base and values for low or ground level sampling of pollutants.   If
the field photography were improved and with better coordination of field
activities, a good correlation of these values should be attainable.

      Locations of lidar profiles were not plotted on camera geometry
base maps (Figs.  2 through 8) because of time limitations.  This  set of
figures illustrates why the data for photo periods #1 and #2 on October 16,
1968, was not considered reliable enough for inclusion.   The smoke •was
blowing almost away from the camera and the angle between the plume
and the camera plane became too great for photogrammetric confidence.

      MRI has been studying the photographic-microdensitometer method
for measurement of airborne matter as designed by Dr. Sander Veress,
University of Washington (1969).   Through the use  of well-controlled
photography, i.e., film, developing,  lens,  camera, light polarization,
etc. ,  Dr. Veress has been able to achieve 0.89 correlation  with visibility
measurements of the nephelometer and define the dimensions  of layers
of polluted air far more accurately than visible  detections.  The value of
this method is  currently  being explored by researchers  in several aspects
                                A-44

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                                                 A-45

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of remote sensing (Journal of Photogrammetric Engineering,  October
1969).  Results seem to indicate that it may soon be possible to produce
pollution concentration maps and profiles of high quality inexpensively
with photography alone.
                                A-46

-------
               Appendix B
INDEX TO TYPE AND DATE OF DATA RUNS
The 110 distinct portions of the data acquisition
missions of the airplane are put into consistent
categories,  labeled by a code number.
                    B-l

-------
                                INDEX

       TYPE AND DATE OF DATA RUN BY SEQUENCE NUMBER

Code
 #
       H  = data plotted horizontally as a function of distance flown.
       V  =  data plotted vertically as a function of altitude.


01-H      Across the plume, 2 miles downwind of Keystone stacks.  Eight
          sections of precipitators off.

          Oct.  15   1,2,3,4,5,6
          Oct.  16   17, 18,28,30
          Oct.  17   37,38,39,40,41,42
          Oct.  20   75,76,77,78,79,80
          Oct.  21   89,90,91

51-H      Two  miles downwind of Keystone stacks. Precipitators on for
          20 minutes before this series.

          Oct.  22   95,96,97,98,99,100,101,102

02-H      Across  plume,  5 miles downwind of Keystone stacks.  Eight
          section of precipitators off.

          Oct.  15   7,8,9
          Oct.  16   15, 16, 31, 32,33
          Oct.  17   43,44,45,46,47,48,57,58,59,60,61,62

03-H      Across  plume,  10 miles downwind of Keystone stacks.  Eight
          sections of precipitators off.

          Oct.  16   13, 14
          Oct.  17   49,50,51,52
          Oct.  18   67,68,69,70
          Oct.  20   81,82

04-H      Along plume downwind from Keystone stacks.

          Oct.  15   10
          Oct.  16   19
          Oct,  18   73

05-H      Along plume upwind to Keystone stacks.

          Oct.  15   11
          Oct.  16   34
                                  B-2

-------
Code
 #

06-V      Descending straight traverse of plume 2 miles downwind of
          Keystone stacks.

          Oct.  16   20

07-V      Descending straight traverse of plume 5 miles downwind of
          Keystone stacks.

          Oct.  16   21

08-V      Descending straight traverse of plume 10 miles downwind  of
          Keystone stacks.

          Oct.  16   22

09-V      Ascending spiral upwind of Keystone stacks.

          Oct.  17   36,56
          Oct.  18   72
          Oct.  20   74
          Oct.  21   87, 92
          Oct.  22   94

10-V      Descending spiral  upwind of Keystone stacks.

          Oct.  16   27

11-V      Ascending spiral abeam the stacks at Keystone.

          Oct.  22   103

12-V      Descending spiral  10 miles downwind of Keystone stacks.

          Oct.  16   35
          Oct.  22   106

13-V      Ascending spiral 10 miles downwind of  Keystone stacks.

          Oct.  15   12
          Oct.  17   53
          Oct.  18   71
          Oct.  22   105

14-V      Ascending spiral sounding over  Conemaugh stacks.

          Oct.  16   26
          Oct.  20   85
                                  B-3

-------
Code
 #

15-V      Descending spiral over Homer City.

          Oct.  16   23
          Oct.  21   88

16-V      Ascending spiral over Homer City.

          Oct.  20   83

17-V      Straight ascending sounding from Keystone to Homer City.

          Oct.  17   54

18-H      Particle collecting pass through a puff of Keystone effluent.

          Oct.  16   29

19-H      Zip-zip through a knee of Keystone plume.

          Oct.  17   63,64

20-H      Terrain-following run from Homer City to Conemaugh.

          Oct.  22   107

21-H      Through pollution over Johnstown.

          Oct.  22   108

22-H      Ten-mile  downwind run toward Conemaugh stacks.

          Oct.  16   25

23-H      Background at 5000 feet (MSL).

          Oct.  17   65
          Oct.  22   104

24-H      Background at 6000 feet (MSL).

          Oct.  17   66

25-H      Background near Keystone.

          Oct.  16   24
                                 B-4

-------
Code
 #

26-H      Downwind run from Conemaugh over New Florence.

          Oct.  17   55

27-H      Straight and level sounding downwind from Homer  City stacks.

          Oct.  20   84

28-H      Ten-mile terrain-following run downwind of Conemaugh stacks.

          Oct.  20   86

29-H      Straight and level background sounding from Indiana to Homer City.

          Oct.  21   93

30-H      In plume over lidar.

          Oct.  22   109, 110
                                   B-5

-------
              APPENDIX
STATISTICAL SUMMARY OF MRI AIRCRAFT
    ALTITUDE AND TURBULENCE
                  DATA
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