(1990) Waste Load Evaluation for the Wichita River in the Red River Basin, Segment 0214
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WASTE LOAD EVALUATION
FOR
THE WICHITA RIVER
IN THE RED RIVER BASIN
Segment 0214
WLE 90-03
Texas Water Commission
March 1990
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TEXAS WATER COMMISSION
B. J. Wynne, Ill, Chairman John E. Birdwell, commissioner
Cliff Johnson, Commissioner
Allen Beinke, Executive Director
Authorization for use or reproduction of any original material contained in this
publication, i.e., not obtained from other sources, is freely granted. The Commission
would appreciate acknowledgement.
Published and distributed
by the
Texas Water Commission
Post Office Box 13087
Austin, Texas 78711
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ABSTRACT
A waste load evaluation for the Wichita River (Segment 0214) has been
prepared by the Texas Water Commission. It was adopted by the Texas Water
Commission on September 27, 1988 and approved by the United States
Environmental Protection Agency on December 22, 1989. The purpose of this
evaluation is to recommend waste treatment levels and effluent limitations that
will result in the receiving water meeting applicable dissolved oxygen criteria
through the year 2005. Recommendations are based on growth projections,
water quality data and other information that were available as of June 8,
1987. This report updates and amends any previous waste load evaluations
and becomes part of the state water quality management plans.
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TABLE OF CONTENTS
ABSTRACT 5 bss 3 MRE we Ea HS
INTRODUCTION. .........244-
SEGMENT DESCRIPTION .......
General Information ......
Geography 5.266 6 & = @ &%
Climatology .......+.e4-.
Hydrology . «668 6 6 6 6 wes
Land Use Patterns .....
Water Quality Standards .....
Desired Water Uses .......
Numerical Criteria .......
Wastewater Discharges .......
Water Quality Conditions ......
Classification ...... ee we
DOCUMENTATION OF THE WATER QUALITY MODEL
* «@ . *
Model Formulation . s «<2: ¢.¥0%8 €l6 © wid ele %
General. . 2... 2. 2 eee wee
Segmentation «ae « e* Swi
HYGPEUNCS 5 si & & 6 te wi * BE
Carbonaceous Biochemical Oxygen
Nitrogenous Oxygen Demand ..
Sediment Oxygen Demand ....
Atmospheric Reaeration .....
Photosynthesis/Respiration ..
._ 8« © «@
Demand
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AL
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TABLE OF CONTENTS (continued)
TOMPOTAIUTe «on 6 ee ale ee ee a ew
Boundary Conditions . 2.685 6 tte HH %
Waste Loads. ....... 5. «= © we we ee
Calibration . . 1... 6 eee ew ew ew we eww
Survey Discussion .......6+ 26 2 we woe
Model Discussion ........262e0e8-4
Verification, i 6 se 6 kaa LER ERS ES
Survey Discussion ........6.2-e0005e
Model Discussion ........+e246s oe ws
WATER: QUALITY PROJECTIONS, ss ce cc ea we
Predictive Use of the Model ........2.+2+.20es
erwmery CC TOES ove ce: cn we wed ee me eS
Waste Load Projections . i. 2 sss ss se 6%
Predicted Water Quality for Iowa Park WWTP Ditch
and. Buffalo Creek «6353 $s swe!’ s 4 be
Predicted Water Quality for Wichita Falls—-Northside
WWTP Ditch and Bear Creek ........
Predicted Water Quality for Sheppard A.F.B. WWTP
and: Pham Creek «46 < 6 #6 Boe ee ww Ss
Predicted Water Quality for the Wichita River ...
NONPOINT SOURCE ASSESSMENT ........424.-.
ANALYSIS OF ALTERNATIVES «§ ssw oe COW as es
Changes in Standards. 26. i 266 & ee e's Bw
Selected Treatment Level .......+.24+e6-.
Sensitivity Amnelysis-. cc 6 8 wl wee we Ew! we
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Permit Variances ....+es B! See we age el ® feat ee
CONCLUSIONS AND RECOMMENDATIONS ......2.22-8-s
Summary of Analysis ......4.-. eros ea ee
Recommendations: «4 % 6 & 6 % 8 fe le wD we, HO wh Si rpeT or, ©
REFERENCES -« «6 i ®@% & Ww € EEE SH EB ee we Re ee 8
FIGURES
b, Location of the Wichita River Watershed ....
2s Extent of the Wichita River Watershed .....+s46-s.
3. Location of Stream Stations and Wastewater Dischargers
to: the Wichita River... .eoe"s + syle ® iss) Geaele fe
4. Historical Total Wastewater Flows to the Wichita River .
5. Historical Total BOD; Loading to the Wichita River
6. Historical Dissolved Oxygen Trend in the Wichita River
SMN Station 0214.0100 at FM 810, West of Byers.
T. Model Schematic of the Wichita River ...... +... 5s
8. Wichita River Calibration Plot for
Dissolved Oxygen - July 21, 1986 Data ......
9. Wichita River Calibration Plot for
Ultimate BOD - July 21, 1986 Data .......
10. Wichita River Calibration Plot for
Ammonia Nitrogen - July 21, 1986 Data .......
: Wichita River Verification Plot for
Dissolved Oxygen - April 7, 1981 Data ....
12. Wichita River Verification Plot for
Ultimate BOD - April 7, 1981 Data .....%...-s
1. Wichita River Verification Plot for
TABLE OF CONTENTS (continued)
Ammonia Nitrogen - April 7, 1981 Data .....
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TABLE OF CONTENTS (continued)
Predicted Dissolved Oxygen Profile for Iowa Park
WWTP Ditch and Buffalo Creek
No Waste L6@ds ass gs wttheid Peo we Mare os
Predicted Dissolved Oxygen Profile for Iowa Park
WWTP Ditch and Buffalo Creek
Ultimate Permitted Flows with
Ultimate Permitted Effluent Limitations . .
Predicted Dissolved Oxygen Profile for Iowa Park
WWTP Ditch and Buffalo Creek
2005 Projected Flows with
20 mg/L BODs, 15 mg/L NH,-N, and 2 mg/L DO
Predicted Dissolved Oxygen Profile for Iowa Park
WWTP Ditch and Buffalo Creek
2005 Projected Flows with Projected Effluent Quality
Predicted Dissolved Oxygen Profile for Wichita Falls-
Northside WWTP Ditch and Bear Creek
No Waste Loads ....... <2. 2 #
Predicted Dissolved Oxygen Profile for Wichita Falls-
Northside WWTP Ditch and Bear Creek
Ultimate Permitted Flows with
Ultimate Permitted Effluent Limitations .......
Predicted Dissolved Oxygen Profile for Wichita Falls-
Northside WWTP Ditch and Bear Creek
2005 Projected Flows with
20 mg/L BODs, 15 mg/L NH,-N, and 2 mg/L DO
Predicted Dissolved Oxygen Profile for Wichita Falls-
Northside WWTP Ditch and Bear Creek
2005 Projected Flows with
10 mg/L BODs, 15 mg/L NH,-N, and 4 mg/L DO
Predicted Dissolved Oxygen Profile for Wichita Falls-
Northside WWTP Ditch and Bear Creek
2005 Projected Flows with
10 mg/L BODs, 3 mg/L NH,-N, and 4 mg/L DO.
Predicted Dissolved Oxygen Profile for Sheppard A.F.
WWTP Ditch and Plum Creek
No Waste Loads ........ ai agit gy geese Te ie
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TABLE OF CONTENTS (continued)
Predicted Dissolved Oxygen Profile for Sheppard A.F.B.
WWTP Ditch and Plum Creek
Ultimate Permitted Flows with
Ultimate Permitted Effluent Limitations ......
Predicted Dissolved Oxygen Profile for Sheppard A.F.B.
WWTP Ditch and Plum Creek
2005 Projected Flows with
20 mg/L BOD;s, 15 mg/L NH,-N, and 2 mg/L DO ..
Predicted Dissolved Oxygen Profile for Sheppard A.F.B.
WWTP Ditch and Plum Creek
2005 Projected Flows with
10 mg/L BODs, 15 mg/L NH,-N, and4mg/L DO .....
Predicted Dissolved Oxygen Profile for Sheppard A.F.B.
WWTP Ditch and Plum Creek
2005 Projected Flows with
10 mg/L BODs, 3 mg/L NH,-N, and 4mg/LDO.....
Predicted Dissolved Oxygen Profile for Wichita River
No Waste Loads . 2. 1. sss ewe eo ew ee wee
Predicted Dissolved Oxygen Profile for Wichita River
Ultimate Permitted Flows with
Ultimate Permitted Effluent Limitations .......+2e-.
Predicted Dissolved Oxygen Profile for Wichita River
2005 Projected Flows with
20 mg/L BODs, 15 mg/L NH,-N, and 2 mg/L DO .
Predicted Dissolved Oxygen Profile for Wichita River
2005 Projected Flows with
10 mg/L BODs, 15 mg/L NH,-N, and 4 mg/L DO .
Predicted Dissolved Oxygen Profile for Wichita River
2005 Projected Flows with
10 mg/L BODs, 3 mg/L NH,-N, and 4mg/L DO. .
Predicted Dissolved Oxygen Profile for Wichita River
2005 Projected Flows with Projected Effluent Quality
Wichita River Dissolved Oxygen Sensitivity
to Stream Baseflow
2005 Projected Flows with Projected Effluent Quality
ix
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TABLE OF CONTENTS (continued)
Wichita River Dissolved Oxygen Sensitivity
to Temperature
2005 Projected Flows with Projected Effluent Quality
Wichita River Dissolved Oxygen Sensitivity
to BOD Decay Rate
2005 Projected Flows with Projected Effluent Quality
Wichita River Dissolved Oxygen Sensitivity
to Ammonia Decay Rate
2005 Projected Flows with Projected Effluent Quality
Wichita River Dissolved Oxygen Sensitivity
to Background Sediment Oxygen Demand
2005 Projected Flows with Projected Effluent Quality
Vichita River Dissolved Oxygen Sensitivity
to Reaeration Rate
2005 Projected Flows with Projected Effluent Quality
TABLES
Existing, Projected, and Permitted Wastewater Loading
to: the Wichita River «4 6 6 Aé5l“e & Oe eg he ARIE «
Stream Monitoring Network Data Summary for the Wichita River
(October 1, 1983 - September 30, 1987)... .
Reach Identification Data for
the Wichita River Model. ........+2.64ee86
Summary of Hydraulic Data
Wichita River Survey
(July 21, 1966) . swe 6 es ww] sé
Summary of Hydraulic Data
Wichita River Survey
(April 7, 1981) . * * . * * . . . . * o . . . . . .
Advective Hydraulic Coefficients for
the Wichita River Model... 6... ess esses
Summary of Flow Measurements for Stream Stations
Wichita River Water Quality Survey
CURT’ Bk: ROCGT oc wi ow ce we om we eo Oe em
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TABLE OF CONTENTS (continued)
Summary of Field Measurements for Stream Stations
Wichita River Water Quality adie!
(July 21,1986) «§ «ss es : ‘ ee ee ee
Summary of Laboratory Analyses for Stream Stations
Wichita River Water Quality Survey
(July 21, 1986) . 2... 2. we ee ee ee ee es
Summary of Flow Measurements for Wastewater Dischargers
Wichita River Water Quality Survey
(July 21, 1986) 2 2 sw wee 6 6 8 Bie ww ae ye mh Le Re
Summary of Field Measurements for Wastewater Dischargers
Wichita River Water Quality Survey
(July 21, 1986) 2. 2 ee eee me ee
Summary of Laboratory Analyses for Wastewater Dischargers
Wichita River Water Quality Survey
(duly 21,,1986) . ss ewe eee eww! ET eH He
Summary of Self-Reporting Data for Wastewater Dischargers
Wichita River (July, 1986) ......4.+.2.42ee-s
Model Input for the Wichita River Calibration Run
July 21, 1986 Data. 2s ee se wee ee
Summary of Flow Measurements for Stream Stations
Wichita River Water Quality Survey
(April %,, 19881) se eee ee aww! Ee Hwee we
Summary of Field Measurements for Stream Stations
Wichita River Water Quality Survey
(April 7, 1981) 2 i aww « oe ee ee ee
Summary of Laboratory Analyses for Stream Stations
Wichita River Water Quality Survey
(April 7, 1981) ; se 6 6.8 FWSM eR ee HS ww ee
Summary of Flow Measurements for Wastewater Dischargers
Wichita River Water Quality Survey
(April 7, 1981) . 2. 1. 6 ee ee ee ee ee ee ee .
Summary of Field Measurements for Wastewater Dischargers
Wichita River Water Quality Survey
(April 7, 1981) . 2. 2 6 6 6 ee ee ew we ew ww
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TABLE OF CONTENTS (continued)
Summary of Laboratory Analyses for Wastewater Dischargers
Wichita River Water sai inal Survey
(April 7, 1981) .... ;
Summary of Self-Reporting Data for Wastewater Dischargers
Wichita River (April, 1981)
Model Input for the Wichita River Verification Run
April 7, 1981 Data ...
Model Input for the Wichita River
"No Waste Loads" Alternative
*
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INTRODUCTION
This waste load evaluation for the Wichita River Below Diversion Dam
(Segment 0214) was prepared by the Water Quality Division of the Texas
Water Commission in accordance with 40 CFR §130.7 as promulgated under
Federal Water Pollution Control Act §303(d). It was adopted by the Texas
Water Commission on September 27, 1988 and approved by the United States
Environmental Protection Agency on December 22, 1989. The purpose of this
evaluation is to define wastewater treatment levels and effluent limitations that
will result in the receiving water meeting applicable dissolved oxygen criteria
through the year 2005. Recommendations are based on growth projections,
water quality data, and other information that were available as of June 8,
1987. As authorized under Texas Water Code §26.036, this waste load
evaluation becomes part of the state water quality management plan.
Pursuant to Texas Water Code §26.037, the Texas Water Commission may use
this waste load evaluation in reviewing and making determinations on
applications for wastewater discharge permits. All references to the Wichita
River in this report refer only to Segment 0214.
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SEGMENT DESCRIPTION
GENERAL INFORMATION
Geography
Wichita River Below Diversion Lake (Segment 0214) is located in north
central Texas in the Red River Basin (see Figure 1). Segment 0214
begins at Diversion Dam in Archer County and flows 177.6 kilometers
(110.4 miles) to the confluence with the Red River in Clay County. The
Wichita River watershed (see Figure 2) encompasses 3,440 square
kilometers (1,328 square miles) of Clay, Wichita, Archer, Foard, Baylor
and Wilbarger Counties, and includes the communities of Electra, Iowa
Park, and Crowell, as well as the City of Wichita Falls. Due to the
extreme western location of Crowell and the absence of any dischargers,
Wilbarger and Baylor Counties were omitted from the watershed map for
the purpose of clarity. Elevations range from 311 meters (1,020 feet)
above mean sea level at Diversion Dam to 265 meters (870 feet) at the
confluence of Red River. Principal tributaries to the Wichita River
include Buffalo Creek south of Iowa Park, Beaver Creek north of
Diversion Lake, Bear Creek north of Wichita Falls, and Holliday Creek
south of Wichita Falls.
Climatology
The climate of the Wichita River watershed is classified as continental. It
is characterized by rapid changes in temperature, large daily and annual
temperature extremes, and by rather erratic rainfall. In January, the
normal daily maximum temperature is 11°C (52°F), and the normal daily
minimum temperature is -2°C (28°F). In July, the normal daily maximum
temperature is 37°C (98°F), and the normal daily minimum temperature is
22°C (72°F). The normal rainfall is 68 centimeters (27 inches) per year,
but the distribution is erratic to such an extent that prolonged dry
periods are common. Mean annual relative humidity ranges from fifty to
eighty percent. Wind speeds average over 18 km/hr (11 mi/hr), and
southerly winds prevail. Climatology for the Wichita River watershed is
based on data obtained from the National Climatic Data Center station in
Wichita Falls, Texas.
Hydrology
The Wichita River headwaters originate at Diversion Dam, impounding
Lake Diversion. Beginning in March or April, and continuing until
September or October, water is released from Lake Diversion via the
South Side Canal for agricultural purposes. Irrigation canals and laterals
continue the distribution of flow before returning to the Wichita River.
The river bottom is composed of fine, hard-pacted sand with little
vegetation on the banks. Average slope is 0.0003 ft/ft. River width
increases from 6 meters (20 feet) at the headwaters to 25 meters (82 feet)
at the confluence with the Red River. River depth increases
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commensurately from 0.1 meters (0.3 feet) upstream to 0.8 meters (2.6
feet) downstream. The United States Geological Survey (USGS) currently
maintains two continuous flow recording gages on the Wichita River.
Upstream at Beverly Drive (SH Loop 11) in Wichita Falls (USGS 07312500)
discharge records from 1975, corresponding to the completion of Lake
Kemp, to 1985 indicate an average discharge of 5.2 m*/s (184 ft3/s), a
maximum discharge of 183 m*/s (6,450 ft'/s), and a 7-day 2-year low-flow
of 0.586 m?/s (20.7 ft'/s). Downstream at FM 810, near Charlie, Texas
(USGS 07312700) discharge records from 1975 to 1985 indicate an average
discharge of 6.7 m*/s (236 ft3/s), a maximum discharge of 161 m/s
(5,670 ft?/s), a minimum discharge of 0.42 m*/s (15 ft'/s), and a 7-day
2-year low-flow of 1.504 m3/s (53.1 ft/s).
Land Use Patterns
Approximately sixty-one percent of the watershed is composed of
rangeland, including improved pasture. Irrigated and dry cropland
account for thirty-five percent of the land area, with the remaining four
percent land use devoted to urbanized areas.
WATER QUALITY STANDARDS
Rules on water quality standards specifying desired water uses and numerical
criteria have been developed pursuant to Texas Water Code §26.023 and
Federal Water Pollution Control Act §303. These rules were adopted April 7,
1988 by the Texas Water Commission and written in accordance with the Texas
Water Code to meet the goals of the Federal Water Pollution Control Act, as
amended through 1987 (33 United States Code 1251 et seq.). Those goals
require that, where attainable, water quality will support aquatic life and
contact recreational uses. The rules concerning Texas Surface Water Quality
Standards are contained in 31 TAC §§307.1-307.10.
Desired Water Uses
The water uses deemed desirable for the Wichita River (Segment 0214) are
as follows:
Contact Recreation
High Quality Aquatic Habitat
Numerical Criteria
The following are the numerical criteria established for the Wichita River
(Segment 0214) and are intended to insure that water quality will be
sufficient to maintain the desired uses:
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Segment 0214
Parameter Criteria
Dissolved Oxygen 5.0 mg/L 24-hour average, 3.0 mg/L minimum
pH Not less than 6.5 nor more than 9.0
Temperature Not to exceed 90°F
Chloride Annual average not to exceed 1,800 mg/L
Sulfate Annual average not to exceed 800 mg/L
Total Dissolved Solids Annual average not to exceed 5,000 mg/L
Fecal Coliform Thirty-day geometric mean not to
exceed 200/100 mL
The numerical criteria are applicable, except for conditions described in
§307.4(j) of the Texas Surface Water Quality Standards whenever the flow
equals or exceeds the low-flow criteria described in Appendix B of
$307.10 which is defined as either the seven-day minimum average flow
with a recurrence interval of two years (7-day 2-year low-flow) or 0.0028
m?/s (0.1 ft'/s), whichever value is higher. Determination of criteria
attainment is dependent on depth collection procedures and varies
depending on the water body being sampled. For the Wichita River,
samples shall be collected one foot below the water surface if the stream
exhibits a vertically mixed water column. A depth integrated sample shall
be used to determine attainment if the stream is vertically stratified.
Where depth is less than 1.5 feet, the collection depth shall be one-third
of the water depth measured from the water surface. At least four
measurements per year are required to determine compliance for chloride,
sulfate, and total dissolved solids. Five or more samples collected over a
period of not more than 30 days are required to determine the attainment
of the fecal coliform criterion. Reference should be made to the Texas
Surface Water Quality Standards for additional numerical criteria that may
not have been included here. Specific dissolved oxygen criteria have not
been assigned to each individual tributary within the segment based on
observed uses. The criterion for these streams will be evaluated as a
result of a Texas Water Commission Receiving Water Assessment, which is
conducted in response to individual permit actions in unclassified waters.
WASTEWATER DISCHARGES
A list of the approved, pending, and projected permits for wastewater
discharge to the Wichita River as of June 8, 1987 is shown in Table 1 giving
the existing (year 1986), projected (year 2005), and permitted loadings.
They are ordered numerically by segment number and then by permit number
within each segment. Existing loadings are based on monthly self-reported
data. Permitted loadings are based on the 30-dav average (or when present,
the annual average) value in the permit. Ammonia nitrogen loading is based
on an assumed effluent concentration of 15 mg/L NH,-N for those domestic
discharges that do not have permitted NH,-N limitations or that did not
self-report NH,-N. The totals for continuous discharges are summarized on
the last page of Table 1 with the approximate locations of these outfalls shown
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on the map in Figure 3. The exact location of all outfalls can be obtained
from the Texas Water Commission upon request.
In general, the current permit limitations required for domestic dischargers to
the Wichita River are secondary with commensurate permit limitations for
industrial dischargers. There are currently seven approved outfalls for
continuous domestic discharge with final permit limitations totaling 1.042 m3/s,
1,823 kg/day BODs and 1,349 kg/day NH,-N (23.8 MGD, 4,020 lb/day BODs,
and 2,975 lIb/day NH,-N). In addition, one "no discharge" permit is
approved for domestic wastewater. There are two approved outfalls for
continuous industrial discharge with final permit limitations totaling 0.004
m'/s, 0.3 kg/day BODs and 0 kg/day NH,-N (0.1 MGD, 0.7 lb/day BODs,
and 0 Ib/day NH,;-N). In addition, three intermittent outfalls, are approved
for industrial wastewater.
The historical wastewater flows and BOD; loadings since 1970 are shown in
Figures 4 through 5. Since 1970, total wastewater flow has increased
erratically. Conversely, total BODs, loading has generally decreased. The
Wichita Falls-River Road wastewater treatment plant contributes approximately
80 percent of the total loading into the Wichita River. The increased flow
with the decreased BODs loading is most likely the result of improved
treatment at the River Road WWTP. Existing loadings, based on 1986
self-reporting data, indicate that seven continuous domestic outfalls are
discharging an average flow of 0.625 m*/s, 463 kg/day BODs and 798 kg/day
NH,-N (14.3 MGD, 1,021 lb/day BODs, and 1,760 lb/day NH,-N). The two
continuous industrial outfalls are not yet in existence.
WATER QUALITY CONDITIONS
The Texas Water Commission currently maintains one active monitoring station
within Segment 0214: Station 0214.0100 at FM 810, west of Byers. This data
is stored in the Stream Monitoring Network (SMN) system. Other entities may
also maintain active stations with data stored in the SMN system. All data in
the SMN system are available upon request from the Texas Water Commission.
A summary of the last four years of data taken at all SMN stations during the
period of October 1, 1983 through September 30, 1987 is shown in Table 2 for
the parameters having specified numerical criteria. As shown in Table 2, the
mean values for all the parameters are within the numerical criteria
established for the Wichita River.
Station 0214.0100 at FM 810 is approximately 55.6 kilometers (34.5 miles)
downstream of the Wichita Falls-River Road WWTP. As shown in Figure 6,
five of the past thirteen years have recorded minimum dissolved oxygen
measurements of less than 5.0 mg/L. Due to the fluctuation of the minimum
dissolved oxygen values there appears to be no discernible trend at the
present time.
CLASSIFICATION
Classification is taken from The State of Texas Water Quality Inventory (1988)
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prepared by the Texas Water Commission pursuant to Section 305(b) of the
Federal Water Pollution Control Act. Segments are classified as "water quality
limited" if applicable water quality criteria cannot be met following
incorporation of best practicable treatment (BPT) for industries and/or
secondary treatment for municipalities. Segments are classified as "effluent
limited" if they are presently meeting or will meet applicable water quality
criteria following incorporation of best practicable treatment (BPT) for
industries and/or secondary treatment for municipalities. The Wichita River
(Segment 0214) was classified as "Water Quality Limited".
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DOCUMENTATION OF THE WATER QUALITY MODEL
MODEL FORMULATION
General
Water quality modeling is basically an attempt to account for the major
sources and sinks of a water quality constituent in a system composed of
a number of complex interacting subsystems, each with its own set of
physical and biological characteristics. In the case of dissolved oxygen,
the primary sources are atmospheric reaeration and photosynthesis. The
primary sinks for oxygen are carbonaceous demands, nitrogenous
demands, sediment oxygen demands, and biological respiration. In
addition, dissolved oxygen may be added or removed from the system
through inflows or outflows.
The steady-state model used for the Wichita River is QUAL-TX, an
updated version of QUAL-II developed by the Texas Water Commission.
The QUAL-TX model was chosen because of its ability to rapidly predict
water quality profiles in an advective and dispersive system and because
its precursor, QUAL-II, is well-known and widely used in the field of
modeling.
QUAL-TX uses a set of interrelated differential mass transport equations
to describe the effects of advection, dispersion, decay, sources, and
sinks for all water quality constituents being modeled. The transport
equations are then solved by numerical integration using an
implicit-finite-difference technique under the assumption that transport
occurs along the longitudinal axis of the stream channel. QUAL-TX is
capable of simulating carbonaceous biochemical oxygen demand (BOD),
nitrogenous oxygen demand through the nitrogen cycle, sediment oxygen
demand, dissolved oxygen, the nutrient cycles, algae production,
coliforms, and conservative and nonconservative materials. The following
discussion briefly summarizes the general theory and use of the model
QUAL-TX. Further documentation on the theory and detailed use of the
model can be found in the QUAL-TX User's Manual.
Segmentation
The first step in setting up a QUAL-TX water quality model is to divide
the stream into segments of uniform characteristics called reaches. Since
new hydraulic and biological coefficients can be specified for each reach,
the way in which a model is segmented can significantly affect the output.
New segments or reaches may be established due to changes in velocity,
depth, or dispersion. Additional flow from tributaries or wastewater
discharges may require that a new reach be established. A _ spatial
variation from sediment oxygen demand or photosynthesis/respiration
parameters may also require additional segmentation. Stream distances
associated with the reaches have been determined from USGS quadrangle
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maps and increase from downstream to upstream from some reference
point, usually the mouth of the stream or a dam.
With the finite-difference numerical technique, reaches are subdivided into
computational elements of equal length. Each element is considered to be
completely mixed and therefore has uniform water quality characteristics.
As element lengths become smaller, the model will more accurately depict
the plug-flow regime with a commensurate increase in storage
requirements and computational costs. These factors must be balanced to
determine element length.
A schematic representation of the Wichita River segmentation is shown in
Figure 7. Reach identification data including reach lengths and element
lengths are shown in Table 3. The Wichita River model was segmented
into 41 reaches with 12 headwaters consisting of the mainstem, 7 primary
tributaries, and 4 secondary tributaries. The Wichita River was
segmented into twenty-three reaches with 1.0 kilometer (0.6 mile) element
lengths from Diversion Dam (Km 177.6) in Archer County to the
confluence with the Red River (Km 0.0) in Clay County. Beaver Creek
was segmented into two reaches with 1.0 kilometer (0.6 mile) element
lengths for a distance of 17.0 kilometers (10.6 miles). Deer Creek was
segmented into one reache with 0.5 kilometer (0.3 mile) element length for
a distance of 0.5 kilometer (0.3 mile). Buffalo Creek was segmented into
four reaches with 1.0 kilometer (0.6 mile) element lengths for a distance
of 17.0 kilometers (10.6 miles). Upper Plum Creek was segmented into
one reach with 0.5 kilometer (0.3 mile) eiement length for a distance of
0.5 kilometer (0.3 mile). Lower Plum Creek was segmented into three
reaches with 0.5 kilometer (0.3 mile) element lengths for a distance of 4.0
kilometers (2.5 miles). Holliday Creek was segmented into one reach with
0.5 kilometer (0.3 mile) element lengths for a distance of 0.5 kilometers
(0.3 miles). Bear Creek was segmented into two reaches with 1.0
Kilometer (0.6 mile) element lengths for a discharge of 13.0 kilometers
(8.1 miles). An unnamed creek to which the City of Iowa Parks WWTP
discharges was segmented into one reach with 0.5 kilometer (0.3 mile)
element lengths for a distance of 1.5 kilometers (0.9 miles). The South
Fork of Buffalo Creek was segmented into one reach with 1.0 kilometer
(0.6 mile) element lengths for a distance of 26.0 kilometers (16.2 miles).
An unnamed creek to which Sheppard A.F.B. WWTP discharges was
segmented into one reach with 1.0 kilometer (0.6 mile) element lengths for
a distance of 4.0 kilometers (2.5 miles). An unnamed creek to which the
City of Wichita Falls-Northside WWTP discharges was segmented into one
reach with 0.5 Kilometer (0.3 mile) element lengths for a distance of 3.0
kilometers (1.9 miles).
Hydraulics
After a stream has been segmented, it is necessary to specify the
hydraulic and physical characteristics of each reach in the stream system.
Hydrodynamic factors fix the transport of oxygen and oxygen-demanding
materials in and out of each element in the reach through advective and
dispersive components. In a river or stream, transport is accomplished
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primarily by advection. In an estuary or tidal system, dispersion
becomes a dominating factor. These parameters are significantly affected
by the geometry and shape of each reach in the system.
The advective hydraulic characteristics can be described by two
exponential equations. These equations represent the relationship of
discharge to velocity and depth as follows:
V=aQ
where:
V = mean velocity, m/s
Q@ = mean discharge, m°/s
D = mean depth, m
a, b, c, = constants
d,e
In free-flowing systems, the velocity and depth equations are best deter-
mined from dye study measurements that are typical for the entire reach.
When two or more sets of dye study measurements are available for the
same reach, the equations can be determined by graphical means or by
regression. When only one set of dye study measurements have been
taken, the appropriate procedure is to assume a typical exponent and
calculate the coefficient that will reproduce the measured values. If no
dye study is available, the equations must be estimated. In constant
level lakes or pools and in tidal systems, the depth is assumed to be
constant and the depth is entered as the coefficient "e" with "c" and "da"
left blank. The velocity exponent "b" is set equal to 1.0 and the
coefficient "a" is set equal to 1/WxD where W is the width and D is the
depth.
Two hydraulic surveys with dye study measurements have been conducted
on the Wichita River to date. Advective hydraulic coefficients, as shown
in Table 6, were estimated based on flows and cross-sections documented
in Intensive Survey of the Wichita River Segment 0214 (Draft, 1987).
The exponential equation exponents for all reaches were assumed as
follows: velocity exponent "b" equal to 0.5 and depth exponent "d" equal
to 0.4. The coefficients were then adjusted to predict the measured
velocities and depths.
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The dispersive hydraulic characteristics can be described by one of two
equations depending on whether the system is tidally influenced. In a
non-tidal stream, the dispersion is calculated by the following equation:
E = 18.53 n v p?-838
where:
E = longitudinal dispersion, m/s
n = Manning's roughness coefficient
V = mean velocity, m/s
D = mean depth, m
A Manning's roughness coefficient of 0.035 corresponding to natural
channels in good condition was used for all reaches. The Wichita River is
not tidally influenced and tidal dispersion was therefore excluded in the
hydraulic considerations.
Carbonaceous Biochemical Oxygen Demand
One of the major sinks of oxygen in the receiving water is carbonaceous
biochemical oxygen demand. Carbonaceous biochemical oxygen demand is
a measure of organic material and is usually defined as the amount of
oxygen required by bacteria while stabilizing the decomposable
carbonaceous portion of organic matter under aerobic conditions. For
purposes of discussion herein, biochemical oxygen demand (BOD) will
refer to the carbonaceous portion only. Wastewater discharges usually
contain significant quantities of BOD which decompose rapidly in the
presence of aerobic bacteria. These bacteria are present in most waters
and begin the process of decomposition quickly. When dissolved oxygen
concentrations become very low, the decomposition process slows down as
the bacteria convert to anaerobic pathways.
The BOD is typically determined through a laboratory procedure involving
the measurement of oxygen consumed by bacteria over a specified period
of time. In order to prevent possible interference from nitrogenous
compounds which also consume oxygen, the BOD test should utilize a
nitrification suppression technique to inhibit nitrifying bacteria. While
biochemical oxidation theoretically takes an infinite time to go to
completion, the oxidation is usually 95 to 99 percent complete within a
twenty-day period. Hence, the ultimate BOD (BODu) may be considered
to be the same as the twenty-day BOD (BOD2,9) unless the organic
material degrades very slowly. Routine BOD testing typically uses the
five-day period because of the shorter time involved in obtaining the
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results. Oxidation in the five-day BOD (BODs) test is usually from 60 to
70 percent complete. The BOD» has often been assumed to be equal to
1.5 times the BODs. However, statistical analysis of BOD data collected
throughout the state indicates that the BOD» is equal to approximately
2.3 times the BODs. This factor is used in this waste load evaluation
whenever the conversion of BODs to BODu is required. Documentation of
the BOD values actually used in the model is presented in greater detail
in the Calibration Section.
The rate at which BOD disappears from the system is a combination of
two mechanisms: decay and settling. The BOD decay rate is the rate at
which BOD is removed due to bacterial decomposition. When the dissolved
oxygen concentrations are high, this process proceeds rapidly. At
reduced dissolved oxygen concentrations, this process slows considerably.
The QUAL-TX model adjusts the BOD decay rates accordingly. The BOD
settling rate is based on standard settling kinetics and assumes that a
portion of the BOD in the system is settleable. As the soluble fraction of
BOD increases, the settling rate may need to be reduced in a
commensurate manner.
The BOD rates can sometimes be determined from a semi-logarithmic plot
of the stream BOD values downstream of a discharger versus the
time-of-travel down the stream. The slope of the line is used to
determine the rates. This method proves unacceptable when a large
number of discharges prevents isolating one BOD profile or when a
dispersive system is encountered. In these cases, the rates must be
adjusted so that the predicted BOD profiles match the observed BOD
profiles. Documentation of the technique used for selection of the BOD
rates is presented in greater detail in the Calibration Section.
Nitrogenous Oxygen Demands
Various nitrogen compounds present in wastewater discharges also exert
an oxygen demand in the receiving water as they change from one form to
another. These changes in form require the presence of specific bacterial
populations. Ammonia nitrogen (NH,-N) is converted to nitrite nitrogen
(NO,-N) by the bacteria Nitrosomonas and theoretically consumes 3.43 mg
oxygen/mg nitrogen. Nitrite nitrogen is converted to nitrate nitrogen
(NO,-N) by the bacteria Nitrobacter and theoretically consumes 1.14
mg oxygen/mg nitrogen. The conversion of organic nitrogen to ammonia
nitrogen is accomplished by hydrolysis and therefore consumes no
oxygen. Because the conversion of nitrite nitrogen to nitrate nitrogen
takes place so rapidly in comparison to the conversion of ammonia
nitrogen to nitrite nitrogen, the two processes are combined together as
one in the model. This combined process is known as nitrification. The
total theoretical oxygen demand for the conversion of ammonia nitrogen to
nitrate nitrogen is 4.57 mg oxygen/mg nitrogen. However, a _ small
portion of the oxygen can be obtained through inorganic compounds,
slightly reducing the total oxygen demand required by the nitrification
process. Based on experimental data, the conversion of ammonia nitrogen
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to nitrate nitrogen requires 4.33 mg oxygen/mg nitrogen. This is the
factor utilized in the model.
Under certain circumstances, such as low dissolved oxygen
concentrations, the nitrifying bacterial populations and/or their activity
may be suppressed. Research indicates that dissolved oxygen levels
below 2 mg/L _ significantly inhibit nitrification. Under anaerobic
conditions, nitrate nitrogen may be converted to nitrogen gas in a
process known as denitrification. These kinetics are accounted for in the
QUAL-TX model.
Nitrification rates can be determined by the same graphical means as
described previously for BOD decay rates unless interfering processes
such as photosynthesis or denitrification are taking place. The graphical
method also proves unacceptable when a large number of discharges are
present or when a dispersive system is encountered. In these cases the
rates must be adjusted so that the predicted nitrogen and dissolved
oxygen profiles match the observed profiles. Documentation of the
technique used for the selection of the nitrification rates is presented in
greater detail in the Calibration Section.
Sediment Oxygen Demand
Another major sink of oxygen in the receiving water is sediment oxygen
demand. Bottom deposits in the form of settled organics accumulate along
the streambed when stream velocities are not sufficient to keep solid
particles in suspension and can exert an oxygen demand. Background
sediment oxygen demand resulting from nonpoint sources, decaying
leaves, and detrital matter can range from 0.05 gm oxygen/m*-day in
mineral soils to 2.0 gm oxygen/m’*-day in estuarine muds at 20°C.
In addition to background sources, organics discharged from domestic or
industrial wastewater treatment plants can settle out below wastewater
outfalls creating sediment oxygen demands ranging from 0.05
gm oxygen/m?-day to 10 gm oxygen/m?-day. At higher treatment levels,
the sediment oxygen demand will be reduced to background levels due to
the reduction in discharged solids.
The model can convert settled BOD and organic nitrogen to sediment
oxygen demand to account for this increase in sediment oxygen demand
below wastewater outfalls. As with BOD decay rates and nitrification
rates, low dissolved oxygen concentrations can inhibit the rate of
sediment oxygen demand. The QUAL-TX model takes this factor into
account.
Sediment oxygen demand can be determined based on in situ techniques,
laboratory core analyses, or literature values. Documentation of the
technique used for selection of the sediment oxygen demands is presented
in greater detail in the Calibration Section.
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Atmospheric Reaeration
The process by which dissolved oxygen in the stream is replenished from
the overlying air is known as atmospheric reaeration and is the primary
source of dissolved oxygen in the receiving water. The reaeration
process is generally a function of stream geometry and hydraulics.
Several techniques and equations have been developed to estimate
reaeration coefficients based on stream geometry and_ stream
characteristics. The equations are generally of the following form:
where:
K, = reaeration rate, per day
V = mean stream velocity, m/s
D = mean stream depth, m
a, b, c = constants
The selection of the constants can be determined from previous research
done on streams with similar characteristics or from direct measurements.
Direct measurements provide the most reliable results and are best deter-
mined from krypton-tritium radiotracer techniques. The reaeration
equation selected for this model was determined by regression analysis of
data obtained from krypton-tritium radiotracer studies on streams
throughout Texas. The regressed equation follows the general form given
previously using "a" equal to 1.923, "b" equal to 0.273, and "c" equal to
0.894,
Photosynthesis/Respiration
The presence of algae and aquatic plants can also have an effect on
dissolved oxygen in surface waters. During periods of daylight, oxygen
is produced as a by-product of photosynthesis and is consumed due to
respiration. At night, oxygen production stops while respiration
continues. This complex process, involving both a source and sink of
oxygen can cause a surplus or deficit of oxygen frequently resulting in
diurnal variations of dissolved oxygen concentrations. These variations
depend on a number of conditions including light intensities, available
nutrients, and turbidity.
Planktonic algae are represented in the model by chlorophyll a.
Chlorophyll a is one of the chemical pigments which determines the
photosynthetic activity of algae. Although present in all algae, it is
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predominant in green algae. Attached algae and/or rooted plants are
presented in the model by macrophytes. Both planktonic algee and
macrophytes require certain nutrients for growth. Although other
nutrients are necessary, phosphorus and nitrogen are generally the
limiting factors and are the ones of primary interest. The utilization of
nitrogen in the growth of algae and macrophytes can be an important
factor in the nitrogen balance and often complicates attempts to account
for other processes such as _ nitrification. For this reason,
photosynthesis/respiration must be considered in modeling analyses.
Further discussion of the role of photosynthetic activity as related to this
model is presented in the Calibration Section.
Temperature
Many of the reactions which determine water quality in natural systems
are dependent on temperature. This dependence is usually considered by
changing the various rate constants according to the following equation:
Ka = Kyp 07-20)
where K,, and Kop are rate constants at a temperature T and 20°C,
respectively, and © is a temperature correction factor which depends on
the reaction being considered. The default values for temperature
correction factors as specified in the QUAL-TX User's Manual were used
in this modeling effort. The default value temperature correction factors
were obtained from Rates, Constants and Kinetics Formulations in Surface
Water Quality Modeling published by the United States Environmental
Protection Agency. Four of the more important factors are listed as
follows:
©, Temperature
Reaction Correction Factor
Atmospheric Reaeration 1.017 + 1.024
Carbonaceous Decay 1.047
Nitrogenous Decay 1.083
Sediment Oxygen Demand 1.074
Boundary Conditions
Boundary conditions are used to fix water quality at a constant value at
the upper and lower bounds of a system. The boundary conditions
should be chosen at a point where the quality is unlikely to change
regardiess of the upstream conditions or downstream conditions. The
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upper boundary is represented by the headwaters and should always be
an area of advective transport so that dispersion from downstream does
not affect it. The lower boundary is required only in dispersive
systems. In advective systems, it is unrestrained and does not affect
upstream water quality. The lower boundary should be a large body of
water that can act as a sink/source of water quality constituents without
being affected by the upstream conditions. Because the Wichita River is
an advective system, a lower boundary is not required for this model.
Waste Loads
Whenever possible, the tributaries into which waste loads enter should be
modeled. However, sometimes this is not possible due to the complexity
of the system. When a waste load must pass through an unmodeled series
of streams or ditches before reaching the modeled stream or tributary,
the waste load should be degraded to account for this travel time. For
the purposes of this model, the waste load from any discharger over 0.5
kilometer (0.3 mile) from a modeled stream is degraded based on a
velocity of 0.03 m/s (0.1 ft/s), a BOD decay rate of 0.1 per day, and a
nitrification rate of 0.2 per day, which are typical values for small
shallow Texas streams.
CALIBRATION
Survey Discussion
The intensive survey field data and water samples used to calibrate the
Wichita River model were gathered by the Texas Water Commission during
the period of July 21-25, 1986. Laboratory analyses of water samples
were conducted by the Texas Department of Health in Austin, Texas.
Summaries of flow, field, and laboratory data collected at stream stations
are shown in Tables 7 through 9. Summaries of flow, field, laboratory,
and self-reporting data collected from wastewater dischargers are shown
in Tables 10 through 13. A more detailed presentation of the data is
available from the Texas Water Commission in the report Intensive Survey
of the Wichita River Segment 0214 (June, 1987). The water quality data
were collected over a 12-hour period with composite water samples and
field measurements being collected approximately every four hours. The
locations of stream stations and wastewater dischargers listed in Tables 7
through 13 are shown in Figure 3.
Stream flows in the Wichita River during this survey were erratic and
variable. Fluctuating irrigation return flows - high-flow occurs during
the summer - and scattered thunderstorms combined to create non-steady
state conditions. As shown in Table 7, mainstem stream flows ranged
from 0.175 m°/s (6.2 ft/s) to 4.984 m3/s (176 ft'/s). Flow velocities
calculated from time-of-travel studies were moderately fast and ranged
from 0.103 m3/s (0.34 ft*/s) to 0.357 m%/s (1.17 ft/s). Diurnal
dissolved oxygen averages remained above the 5.0 mg/L segment criterion
throughout the river. The City of Wichita Falls-River Road WWTP
discharge had minimal effect on the water quality of the river lowering
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the dissolved oxygen diurnal average approximately 1.7 mg/L between SH
240 and River Road.
Model Discussion
Using the July 21-25, 1986 data presented previously, the Wichita River
model was calibrated under stream conditions of high-flows and high
temperatures. The input data used for the calibration run are shown in
Table 14. The calibration profiles for dissolved oxygen, biochemical
oxygen demand, and ammonia nitrogen are shown in Figures 8 through
10.
The first step in the calibration process was to set up a flow balance for
the Wichita River, stream flows were based on measured values from the
survey and adjusted on a flow per unit area basis if the input locations
were different from the location of the measured value. Incremental
inflows were also determined on a flow per unit area basis. Wastewater
discharge flow for the City of Wichita Falls-River Road WWTP was based
on measured values from the survey. All other wastewater discharge
flows were based on self-reporting data.
Biochemical oxygen demand concentrations used in the model were based
on self-reporting BOD; data corrected to ultimate BOD except for the
City of Wichita Falls-River Road WWTP discharge, where the ultimate BOD
and ammonia nitrogen were measured directly during the intensive
survey. If data were not available, the values were estimated. Water
quality associated with incremental inflows was input using estimated
background water quality levels.
Following determination of loadings from the tributaries, dischargers, and
incremental flows as described above, the actual calibration was begun.
Initial estimates of the coefficients were made and then adjusted within
acceptable ranges until the predicted profiles provided a reasonable fit to
the observed data.
Some of the major rate coefficients (base e) for the calibration run
excluding those in the tributary reaches are summarized as follows:
Rate Coefficient 20°C Value Corrected Value
Reaeration comin 9.02 per day
Sediment Oxygen Demand 0.30-0.30 g/m?-day 0.58-0.82 g/m?-day
BOD Decay 0.10-0.10 per day 0.15-0.16 per day
BOD Settling 0.05-0.05 m/day 0.08-0.47 per day
Ammonia Nitrogen Decay 0.30-0.30 per day 0.58-0.69 per day
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As indicated in Figures 8 through 10, reasonable agreement is shown
between the predicted and observed values for dissolved oxygen, ultimate
biochemical oxygen demand, and ammonia nitrogen.
VERIFICATION
Survey Discussion
The intensive survey field data and water samples used to verify the
Wichita River model were gathered by the Texas Department of Water
Resources during the period of April 6-9, 1981. Laboratory analyses of
water samples were conducted by the Texas Department of Health in
Austin, Texas. Summaries of flow, field, and laboratory data collected at
stream stations are shown in Tables 15 through 17. Summaries of flow,
field, laboratory, and se…