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Storm Water Runoff
Detention Basin Design Medrum Building, University of Utah
CVEEN 4410 Engineering Hydrology, Spring 2012
Submitted by
Executive Summary
Urbanization has a significant impact on the hydrologic cycle. The removal of natural vegetation
and construction of large sections of impervious areas decrease infiltration and increase the total
volume of storm water runoff. In addition the peak runoff discharge rate increases in intensity
and timing. If these effects are not addressed, flooding of urban areas will occur which can be
costly and dangerous for area residents. Also increased intensity of peak discharge negatively
affects natural waterways, decreasing water quality in the process. Water quality is also
degraded due to the storm water gathering pollutants off the urban impervious surfaces and then
transporting it to water bodies were the storm water enters untreated.
In an attempt to mitigate the negative effects of urbanization on the hydrology of a watershed
storm water control methods are used. This report provides the analysis of the watershed which
has its outlet 100 feet downstream of the MCE Building on the University of Utah Campus. By
determining the pre-development hydrologic conditions a design can be provided that will
account for the effects of urbanization. For this project a detention basin is proposed. The basin
will detain the storm water runoff and then release it at rates that will be equal to or less than the
pre-development peak discharge rates.
This report consists of 4 sections: the pre-development watershed analysis, an in-depth analysis
of an impervious urban structure within the watershed, the post-development watershed analysis,
and the detention basin design. Also included are Appendices which provided detailed
information on the analysis methods used. The final product is a design which accomplishes the
stated goal of mimicking the pre-development hydrology within the urban environment.
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Table of Contents
Executive Summary ....................................................................................................................... 2
1. Introduction ........................................................................................................................ 7
1.2 Problem Description .......................................................................................................... 7
1.3 Goals & Objectives ............................................................................................................ 7
2. Pre-Development Watershed Analysis ............................................................................. 7
2.1 Purpose of Analysis ............................................................................................................ 8
2.2 Pre-development Watershed Properties .......................................................................... 9
2.3 Time of Concentration ..................................................................................................... 15
2.4 Peak Discharge via the Rational Method ....................................................................... 15
2.5 Predicted Hydrographs via HEC-HMS ......................................................................... 15
3. Building Drainage Parameters, MCE Case Study ........................................................ 16
3.1 Purpose of Analysis .......................................................................................................... 17
3.2 Roof Properties ................................................................................................................. 17
3.3 Time of Concentration ..................................................................................................... 19
3.4 Peak Discharge via the Rational Method ....................................................................... 19
3.5 Predicted Hydrographs via HEC-HMS ......................................................................... 21
3.6 Summary of Roof Hydrologic Parameters ................................................................... 21
4. Post-Development Watershed Analysis ........................................................................ 22
4.1 Purpose of Analysis .......................................................................................................... 22
4.2 Post-development Watershed Properties ....................................................................... 22
4.3 Time of Concentration ..................................................................................................... 26
4.4 Peak Discharge via the Rational Method ....................................................................... 26
4.5 Predicted Hydrographs via HEC-HMS ......................................................................... 28
5. Detention Basin Design .................................................................................................... 29
5.1 Required Detention Basin Size........................................................................................ 29
5.2 Detention Basin Design .................................................................................................... 29
5.3 Outlet Structure Design ................................................................................................... 31
5.4 Pipe Requirements for Detention Basin Inflow/Outflow .............................................. 32
6. Summary and Conclusions .............................................................................................. 32
References ..................................................................................................................................... 33
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Appendices ................................................................................................................................... 34
A. SCS Curve Number Method .......................................................................................... 34
B. Salt Lake City Precipitation Data .................................................................................. 35
C. Time of Concentration Method ...................................................................................... 36
D. Time of Concentration Calculation – Pre-Development Watershed ........................... 39
E. Rational Method ................................................................................................................ 41
F. HEC-HMS Method ........................................................................................................... 42
G. HEC-HMS Analysis – Pre-Development Watershed ..................................................... 44
H. HEC-HMS Analysis – MCE Building Case Study ........................................................ 46
I. HEC-HMS Analysis – Post-Development Watershed ..................................................... 48
J. HEC-HMS Analysis – Detention Basin ................................................................................ 50
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List of Figures and Tables
Figure 1: Developed versus Natural Hydrograph .................................................................................... 8
Figure 2: Watershed Map with Sub-Areas ............................................................................................... 9
Figure 3: Watershed Total Area Calculation ......................................................................................... 10
Figure 4: Sub-Watershed Area Calculations .......................................................................................... 10
Table 1: Table 2-2d from USDA TR55 guide ......................................................................................... 11
Figure 5: Historical Photo of the Area .................................................................................................... 11
Figure 6: USDA Soil Survey ..................................................................................................................... 12
Table 2: Curve Number Detail Summary ............................................................................................... 12
Table 3: Table 3-1 from USDA TR55 guide (USDA, 1986) ................................................................... 13
Table 4: SCS Method Detail Summary ................................................................................................... 14
Table 5: Runoff Coefficients .................................................................................................................... 14
Table 6: Rational Method Peak Discharge Rates................................................................................... 15
Table 7: Comparison of Peak Discharge Rates from the Rational Method and HEC-HMS ............. 16
Figure 7: MCE Roof Architectural Plan ................................................................................................. 16
Table 8: MCE Roof, Area Summary ....................................................................................................... 17
Table 9: Table 2-2a from USDA TR55 guide ......................................................................................... 18
Table 10: Runoff Coefficient Detail Summary ...................................................................................... 19
Table 11: Time of Concentration Worksheet ......................................................................................... 19
Table 12: Peak Discharge for Each Sub-Watershed .............................................................................. 20
Table13: Peak Discharge Entire Roof Section ....................................................................................... 20
Table 14: Roof Hydrologic Parameters .................................................................................................. 21
Figure 8: Post-development sub-watersheds .......................................................................................... 23
Figure 9: Post-Development Watershed Area Calculations .................................................................. 23
Table 15: Post-Development Watershed Curve Number Detailed Summary ..................................... 24
Table 16: Post-Development Watershed Manning’s Roughness Coefficients ..................................... 25
Table 17: SCS Method Detailed Summary ............................................................................................. 25
Table 18: Time of Concentration Worksheet ......................................................................................... 26
Table 19: Peak Discharge for Each Sub-Watershed .............................................................................. 27
Table 20: Peak Discharge for Entire Post-Development Watershed ................................................... 28
Table 21: Comparison of Peak Discharge Rates from the Rational Method and HEC-HMS ........... 28
Figure 10: Detention Basin Location ....................................................................................................... 30
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Figure 11: Conceptual Drawing of Detention Basin Design (NOTE: drawing not to scale) .............. 30
Figure 12: Example of an Outlet Structure ............................................................................................ 31
Figure 13: Conceptual Drawing of Outlet Structure Design (NOTE: drawing not to scale) ............. 31
Table 22: Inflow and Outflow Pipe Diameter Requirements ................................................................ 32
Figure 14: Chart for Estimating Velocity from TR-55 (USDA, 1986) ................................................. 37
Figure 15: Time of Concentration Worksheet from TR55 Guide ........................................................ 38
Figure 16: Time of Concentration, Path Lengths for Area 2 and Area 3 ............................................ 40
Figure 17: Time of Concentration, Path Length for Area 1 ................................................................. 40
Table 23: Runoff Coefficients .................................................................................................................. 41
Figure 18: HEC-HMS Standard View Screen ........................................................................................ 43
Figure 19: HEC-HMS Watershed Model ............................................................................................... 44
Table 24: HEC-HMS Results, 5 year, 25 year, & 100 year storms ....................................................... 44
Figure 20: 5 year storm hydrograph ....................................................................................................... 45
Figure 21: 25 year storm hydrograph ..................................................................................................... 45
Figure 22: 100 year storm hydrograph ................................................................................................... 45
Figure 23: HEC-HMS Watershed Model for MCE Rooftop ................................................................ 46
Table 25: HEC-HMS Results, 5 year, 25 year, & 100 year storms ....................................................... 46
Figure 24: 5 year storm hydrograph ....................................................................................................... 47
Figure 25: 25 year storm hydrograph ..................................................................................................... 47
Figure 26: 100 year storm hydrograph ................................................................................................... 47
Figure 27: HEC-HMS Watershed Model ............................................................................................... 48
Table 26: HEC-HMS Results, 5 year, 25 year, & 100 year storms ....................................................... 48
Figure 28: 5 year storm hydrograph ....................................................................................................... 49
Figure 29: 25 year storm hydrograph ..................................................................................................... 49
Figure 30: 100 year storm hydrograph ................................................................................................... 49
Figure 31: HEC-HMS Watershed Model ............................................................................................... 50
Table 27: HEC-HMS Results, 100-year storm ....................................................................................... 50
Figure 32: Detention Basin Storage Table and Volume Graph Vs. Time ............................................ 51
Figure 33: Outlet Structure, Flow from 4 levels of Orifices .................................................................. 51
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1. Introduction
Runoff is part of the hydrologic cycle, which also includes precipitation, infiltration, evaporation,
transpiration, and ground water flow. The control of runoff in developed areas must be
addressed so that damage from flooding does not occur. Engineers are tasked with developing
designs to control storm water runoff. The first step of this design is to perform hydrologic
analysis to determine the direct runoff, which is equal to the net precipitation over a watershed
area. The definition of a watershed is “a contiguous area that drains to an outlet, such that
precipitation that falls within the watershed runs off through that single outlet.” (Bedient, pg. 8).
Net precipitation is the difference between total rain volume and the discharge volume. The
difference in these values includes losses to interception, depression storage, infiltration,
evaporation, and transpiration. It is the discharge volume, or direct runoff, which must be
managed with effective drainage design measures.
1.2 Problem Description
The Meldrum Civil Engineering (MCE) Building is located on the University of Utah Campus in
Salt Lake City, Utah. The watershed that contributes runoff to the MCE Building must be
analyzed, so a point 100 feet downstream, or west, of the MCE Building will be the point of
analysis for this design. State-of-the-art hydrologic analysis methods are utilized to design
containment and processing of storm water runoff that results from the contributing watershed at
this point of analysis.
1.3 Goals & Objectives
The goal of this design is to provide the necessary parameters for construction of a detention
basin that will control storm water runoff at the point of analysis. A detention basin is a storm
water management tool used to capture and temporarily detain storm water to prevent excessive
discharge or flooding. In order to develop the detention basin design several steps will be taken
including a pre-development watershed analysis, the analysis of drainage parameters for
buildings within the watershed, and a post-development analysis. The results of these steps will
provide the data necessary to design the detention basin for this system.
2. Pre-Development Watershed Analysis
The first step in designing a detention basin to control runoff from the watershed area with an
outlet at the MCE building was to determine the boundaries of this watershed and the pre-
development conditions. The boundaries of the watershed are decided by determining the area
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that drains to the point of analysis, which it the point 100 feet downstream of the MCE building.
Pre-development conditions describe the area prior to any development of the land for human
use. This is also referred to as the natural condition of the area.
2.1 Purpose of Analysis
The urbanization of areas leads to decreased infiltration of precipitation due to the replacement
of natural vegetation with impervious surfaces such as rooftops, parking lots, and roadways.
Runoff travel times decrease as the natural vegetation is replaced by impervious surfaces and
interception due to vegetation and natural depression storage is removed. These modifications of
the natural landscape cause increased peak discharge rates and a larger overall volume of runoff.
A hydrograph is a graph which plots runoff discharge over time. The effect of urbanization is a
post-development direct runoff (DRO) hydrograph that peaks higher and more quickly than the
pre-development DRO hydrograph (see Figure 1). The purpose of pre-development watershed
analysis is so that in the final design drainage systems can be created that match peak discharge
flows from the developed area to what they were prior to development. In other words, to create
a drainage management system in the form of a detention basin that forces the post-development
hydrograph peak to be less than or equal to the pre-development hydrograph peak, per local
ordinances. Because the goal of the design is to mimic hydrological pre-development
conditions, it is necessary to determine what those pre-development conditions were.
Figure 1: Developed versus Natural Hydrograph
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2.2 Pre-development Watershed Properties
The watershed area, with the point of discharge 100 feet west of the MCE building, was
delineated using a combination of a raised-relief map and Google © earth maps. This watershed
was divided into 3 sub-watersheds because of differences in geographical conditions of the area
resulting in variations in types of vegetation. The division into sub-watersheds results in a more
accurate analysis due to the fact that different surface conditions lead to different runoff amounts
and runoff travel times, which will be seen in following calculations. The most important factor
in determining volume of runoff is the surface area over which precipitation collects. The area
of this watershed and sub-watersheds were calculated to be 311 acres overall; 162 acres for area
1, 64 acres for area 2, and 85 acres for area 3. See figures 2 through 4 for detail.
Figure 2: Watershed Map with Sub-Areas
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Figure 3: Watershed Total Area Calculation
Figure 4: Sub-Watershed Area Calculations
Pre-development characteristics of this area, a critical aspect of the analysis, were determined.
These characteristics include assigned values for curve number, roughness coefficients, and
runoff coefficients, which are necessary to estimate peak discharge, DRO hydrographs, and total
volume of runoff. According to the USDA guide TR-55 (USDA,1986), the runoff curve number
(CN) is based on soil types, plant cover, amount of impervious areas, interception, and surface
storage. Table 2-2d (USDA,1986) in this guide was used to determine the curve number for the
watershed (see Table 1). The pre-development cover type was determined from historical photos
(Figure 5) and current satellite imagery of non-developed sections found using Google Earth.
Using a soil classification of C (from USDA soil surveys, see Figure 6), a cover type of oak
aspen, and hydrologic condition of poor, the curve number was found to be 74 for sub-
watersheds 2 and 3. For sub-watershed 1, soil C, a cover type of sagebrush with grass, and
hydrologic condition of poor, suggests the curve number to be approximately 80. Using a
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weighted average, the curve number for the total watershed is 77. See Table 2 for a summary of
the characteristic details.
Table 1: Table 2-2d from USDA TR55 guide
Figure 5: Historical Photo of the Area
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Figure 6: USDA Soil Survey
Table 2: Curve Number Detail Summary
Manning’s roughness coefficients (n) are used in calculating the time it takes for water to flow
through the watershed, which is referred to as time of concentration. They are related to the
vegetation of the surface area up to 0.1 foot off the ground. These values are listed in table 3-1
in the TR-55 guide (see Table 3). For area 1 the coefficient is 0.15 (short grass) and for areas 2
and 3 the coefficient is 0.40 (light underbrush).
Sub-Watersheds Cover Type Hydrologic Condition Soil Group Curve Number Area (acres)
Area 1 Sagebrush/Grass Poor C 80 162
Area 2 Oak Aspen Poor C 74 64
Area 3 Oak Aspen Poor C 74 85
Total Watershed Area = 311
Weighted Average = [(162 * 80) + (64 * 74) + (85 * 74)] / 311
Curve Number for Watershed = 77
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Table 3: Table 3-1 from USDA TR55 guide (USDA, 1986)
The SCS runoff curve number method is used to estimate volume of runoff in inches. See
Appendix A for a detailed description of this method. Using the weighted curve number values
determined (see Table 2) with the SCS runoff curve number method, runoff may be calculated
using the following equations:
Q = (P – 0.2S)2 / (P + 0.8S) Equation 1
S = 1000/CN – 10 Equation 2
Ia = 0.2S Equation 3
Where: Q = runoff (in)
P = rainfall (in)
S = potential maximum retention after runoff begins (in)
Ia = initial abstraction (in)
The rainfall values are obtained from the NOAA Atlas 14 website, using the closest monitoring
station, the Salt Lake City Zoo (see Appendix B). These values, for a 24-hour storm duration,
are 1.96 inches for a 5 year storm, 2.59 inches for a 25 year storm, and 3.16 for a 100 year storm.
Using the equations above, S = 2.987 inches and Ia = 0.597 inches. Q = 0.427 inches for a 5 year
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storm, 0.797 inches for a 25 year storm, and 1.183 inches for a 100 year storm. See Table 4 for a
detailed summary of results.
Table 4: SCS Method Detail Summary
The runoff coefficient (C) is defined as the ratio of runoff to precipitation. Estimated values of C
are used with the Rational Method to estimate peak discharge. The runoff volumes (Q) and the
precipitation values (Ia) from Table 4 were used to calculated the C values. The average runoff
coefficient for this area is the ratio of the average of the calculated Q values to the average of the
Ia values, which equals 0.30. Detailed results are included in Table 4. The calculated C values
were compared with values that have been empirically derived. Table 5 provides these values.
This comparison provides concurrence that the runoff coefficients calculated in Table 4 are
within the average range.
Table 5: Runoff Coefficients
CN P (in) S (in) Ia (in) Q (in) C
24 hour, 5 year storm 77 1.96 2.987 0.597 0.427 0.218
24 hour, 25 year storm 77 2.59 2.987 0.597 0.797 0.308
24 hour, 100 year storm 77 3.16 2.987 0.597 1.183 0.374
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2.3 Time of Concentration
Time of concentration (tc) is the time required for water to flow from the most hydraulically
distant point in a watershed to the watershed outlet, which in this analysis is the MCE building.
Time of concentration is necessary information for calculating the peak discharge using the
rational method, and is also necessary for specifying lag-time data associated with SCS methods
utilized by the HEC-HMS program; results of both methods are discussed in more detail in
subsequent sections of this report. The roughness coefficients determined earlier (Table 3) as
well as the slope of the watershed for the anticipated flow path, which was determined using
Google Maps ©, are used for these calculations. The TR-55 guide (USDA, 1986) provides a
worksheet to calculate time of concentration which includes a summation of travel time values
corresponding to sheet flow, shallow concentrated flow, and channel flow. For this watershed
the time of concentration for the entire watershed was determined to be 0.97 hours. See
Appendix C for a complete description of the method used to estimate times of concentration and
Appendix D for details of calculations for the pre-development watershed.
2.4 Peak Discharge via the Rational Method
The rational method is used to determine peak discharge rates (Qp) by relating rainfall to runoff.
The formula for this method is Qp = CiA, where C = runoff coefficient, i = intensity of rainfall of
chosen frequency for a duration equal to the time of concentration (in/hr), and A = area of the
watershed (acres). See Appendix E for a complete explanation of this method. Because the time
of concentration for this watershed is just under one hour (0.97 hours), the NOAA Atlas 14 (see
Appendix B) 1 hour storm data was used in this calculation. These values are .714 inches for the
5 year storm, 1.18 for the 24 year storm, and 1.77 for the 100 year storm. The peak discharge
rates for this watershed were determined to be 48 cfs for the 5-year storm, 113 cfs for the 25-year
storm, and 206 for the 100-year storm. See table 6 for detail of calculations.
Table 6: Rational Method Peak Discharge Rates
2.5 Predicted Hydrographs via HEC-HMS
HEC-HMS was used to model three storms; 5-year, 25-year, and 100-year. See Appendix F for
a complete discussion of HEC-HMS methods. Complete results of these analyses are listed in
appendix G. The peak discharge rates for the watershed, which is listed as the discharge for the
MCE Building, are as follows: 5 year storm equals 65 cfs, 25 year storm equals 138.6 cfs, 100
year storm equals 215.4 cfs. See Table 7 for these results in comparison to results obtained with
the Rational Method.
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 311 0.714 0.218 48
25 year Storm 311 1.18 0.308 113
100 year Storm 311 1.77 0.374 206
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While the Rational Method and HEC-HMS are both widely used and well accepted methods for
use in watershed analysis and the design of storm water systems, each has its limitations. The
rational method is more accurate when used for smaller, semi-urbanized areas. Because of the
degree of detail and ability to adjust over time, HEC-HMS provides more accurate results for
larger watersheds. Because of this the results from HEC-HMS are assumed to more accurate for
this case and will be used in further calculations for this project.
Table 7: Comparison of Peak Discharge Rates from the Rational Method and HEC-HMS
3. Building Drainage Parameters, MCE Case Study
The next step, after the analysis of the pre-development watershed, is to perform an analysis of
the drainage parameters for the buildings within the watershed. Although the most accurate
method would be to perform this analysis on every building that falls within the drainage area, a
less time intensive and still appropriately accurate technique is to perform a case study of one
building. For this design that building will be the MCE building, specifically, the recent addition
to the northwest corner for which plans are readily available (see Figure 7).
Figure 7: MCE Roof Architectural Plan
Rational Method HEC-HMS
5 year Storm 48 65
25 year Storm 113 138.6
100 year Storm 206 215.4
Qp (cfs)
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3.1 Purpose of Analysis
As with the analysis of the pre-development watershed, time of concentration, peak discharge,
total volume of runoff, and the runoff hydrograph for the building rooftop area must be
determined. Once these values are established then assumptions can be made for other surfaces
within the post-development watershed. As stated, the post-development watershed could be
broken into hundreds of sub-watersheds and analysis could be performed on each. However in
addition to the impractical time requirements, this would not necessarily provide any more
accurate results. By providing an in depth analysis of one rooftop, necessary parameters can be
established for use in similar impervious areas within the developed watershed. With this
information educated assumptions can be made that result in accurate estimates of post-
development peak discharge and DRO hyrdrographs.
.
3.2 Roof Properties
The total area of the recent addition to the MCE roof is 7076 square feet, or 0.1624 acres. This
area is broken into 5 sub-watersheds due to the fact that there are 5 drains and associated sloped
drainage areas on this section of roof. The area of each sub-watershed is listed in Table 8. Also
included in this table are values of longest drainage path for each sub-watershed and the slope of
each sub-watershed. These values will be used later calculations to determine time of
concentration.
Table 8: MCE Roof, Area Summary
As with the pre-development watershed several characteristics of the roof area must be
established in order to determine other factors needed for the analysis. Again these
characteristics include assigned values for curve number, roughness coefficients, and runoff
coefficient which are all used later in calculations which estimate the peak discharge and total
volume of runoff. Using table 2.2a from the TR-55 guide (USDA, 1986), the curve number
(CN) was determined to be 98 (see Table 9).
Area #1 Area #2 Area #3 Area #4 Area #5 Total
square feet 720 1036 660 1320 3340 7076
acres 0.0165 0.0238 0.0152 0.0303 0.0767 0.1624
tc path length (ft) 33 64 36 36 43
slope 0.021 0.021 0.021 0.021 0.021
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Table 9: Table 2-2a from USDA TR55 guide
The Manning’s roughness coefficient (n), used to calculate time of concentration, was
determined from table 3-1 in the TR55 guide (see Table 3 in this report). For a smooth surface
such as a rooftop this value is 0.011.
As with the pre-development analysis, the SCS runoff curve number method was used (see
Appendix A for a detailed description of this method). These calculations were performed using
the curve number of 98, equations 1, 2, and 3, and the rainfall values in Appendix B for a 5 year,
25 year, and 100 year storm. See Table 10 for a detail summary of results.
The runoff coefficient (C), which is the ratio of runoff to precipitation, is used to calculate peak
discharge in the rational method. This value was calculated using the runoff and precipitation
values obtained with the SCS method. The average runoff coefficient value for the three storms
was 0.91. Again this value was compared to the tabulated values in Table 5 which validated the
results.
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Table 10: Runoff Coefficient Detail Summary
3.3 Time of Concentration
Time of concentration (tc) was calculated for each sub-watershed and for the overall watershed
(see Appendix C for detailed description of method). Because of the relatively short distances
from the most hydraulically remote point to the drain outlet in each of the roof sub-watersheds,
all flow is considered sheet flow. A modified version of the worksheet provided in the TR55
guide was used. The total time of concentration was calculated to be 0.0693 hours, or 4.2
minutes. See Table 11 for detail of calculations.
Table 11: Time of Concentration Worksheet
3.4 Peak Discharge via the Rational Method
The Rational Method was used to calculate peak discharge values for the sub-watersheds and
overall roof area. See appendix E for a complete explanation of this method. The inputs to this
method include the area calculations listed in Table 6, the rainfall values obtained from the
NOAA Atlas-14 website as specified by the time of concentration, and the runoff coefficients as
determined previously. The peak discharge rates for each of the sub-watersheds are tabulated in
Table 12. The peak discharge rates for the entire roof section are 0.4 cfs for the 5-year storm, 0.7
cfs for the 25-year storm, and 1.0 cfs for the 100-year storm. See Table 13 for detail of results.
CN P (in) S (in) Ia (in) Q (in) C
24 hour, 5 year storm 98 1.96 0.204 0.041 1.735 0.885
24 hour, 25 year storm 98 2.59 0.204 0.041 2.360 0.911
24 hour, 100 year storm 98 3.16 0.204 0.041 2.928 0.926
Worksheet 3: Time of Concentration (Tc) or travel time (Tt)Project: MCE Rooftop
Location: University of Utah
Sheet Flow
Segment ID #1 #2 #3 #4 #5
1 Surface descriptions (table 3-1) Smooth Surface Smooth Surface Smooth Surface Smooth Surface Smooth Surface
2 Manning's roughness coefficient, n (table 3-1) 0.011 0.011 0.011 0.011 0.011
3 Flow length, L (total L † 300 ft) ft 33 64 36 36 43
4 Two-year 24-hour rainfall, P2 in 1.64 1.64 1.64 1.64 1.64
5 Land slope, s ft/ft 0.021 0.021 0.021 0.021 0.021
6 Tt = 0.007 (nL) 0.8 Compute Tt hr 0.0114 0.0194 0.0122 0.0122 0.0141 0.0693
P20.5s0.4
⁺ ⁺ ⁺ ⁺ ⁼
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Table 12: Peak Discharge for Each Sub-Watershed
Table13: Peak Discharge Entire Roof Section
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.0165 2.724 0.885 0.040
25 year Storm 0.0165 4.5 0.911 0.068
100 year Storm 0.0165 6.756 0.926 0.103
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.0238 2.724 0.885 0.057
25 year Storm 0.0238 4.5 0.911 0.098
100 year Storm 0.0238 6.756 0.926 0.149
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.0152 2.724 0.885 0.037
25 year Storm 0.0152 4.5 0.911 0.062
100 year Storm 0.0152 6.756 0.926 0.095
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.0303 2.724 0.885 0.073
25 year Storm 0.0303 4.5 0.911 0.124
100 year Storm 0.0303 6.756 0.926 0.190
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.0767 2.724 0.885 0.185
25 year Storm 0.0767 4.5 0.911 0.314
100 year Storm 0.0767 6.756 0.926 0.480
Sub-Watershed #1
Sub-Watershed #2
Sub-Watershed #3
Sub-Watershed #4
Sub-Watershed #5
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 0.1624 2.724 0.885 0.392
25 year Storm 0.1624 4.5 0.911 0.666
100 year Storm 0.1624 6.756 0.926 1.016
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3.5 Predicted Hydrographs via HEC-HMS
HEC-HMS was used to model the system for the three SCS design storms of 5, 25, and 100
years. This was done in order obtain peak discharge rates and produce direct runoff
hydrographs. See Appendix F for a complete discussion of this program. Results of this analysis
and runoff hydrographs for each storm are included in appendix H. The peak discharge for the
sub-watershed and entire roof section were comparable, although higher than what was found
with the Rational Method. These values are as follows: 5 year storm equals 0.293 cfs, 25 year
storm equals 0.367 cfs, and 100 year storm equals 0.472 cfs. Because the Rational Method was
specifically designed for small, urban watershed those results determined in the previous section
are more accurate than the results obtained from HEC-HMS.
3.6 Summary of Roof Hydrologic Parameters
A final tabulation of all results of the MCE roof top analysis was compiled. These results will be
used in further analysis of the developed area. The accuracy of the information obtained is
critical to the success of the detention basin design. See Table 14 for a summary of these
parameters.
Table 14: Roof Hydrologic Parameters
Curve Number Roughness Coefficient Surface Area (ft2) Surface Slope Time of Concentration
Area #1 98 0.011 720 0.021 0.0114
Area #2 98 0.011 1036 0.021 0.0194
Area #3 98 0.011 660 0.021 0.0122
Area #4 98 0.011 1320 0.021 0.0122
Area #5 98 0.011 3340 0.021 0.0141
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4. Post-Development Watershed Analysis
The post-development watershed consists of the previously established geographic area which
contributes runoff to the point of analysis, which is the point 100 feet downstream of the MCE
building. The difference in this analysis, versus the pre-development watershed analysis, is that
in the post-development watershed the human modified landscape is considered. The existing
urbanized area with all the buildings, parking lots, roads, and other built land features are taken
into account in the determination of estimated peak discharge and DRO hydrographs.
4.1 Purpose of Analysis
As stated in the previous section, time of concentration, peak discharge, total volume of runoff,
and the runoff hydrograph for the post-development watershed must be determined. This
information is needed in order to establish the necessary design parameters for the detention
basin that will adjust for the differences between the resultant pre and post urbanization
hydrographs. This analysis provides the information necessary to reach the ultimate goal of the
detention basin design, which is to reduce peak discharge of the post-development watershed to
equal or less than the rate of the pre-development watershed.
4.2 Post-development Watershed Properties
As with the pre-development watershed, the post-development watershed was divided into sub-
watersheds. The sub-watersheds were determined using google maps ©. The delineations were
made based on the groupings of relatively similar types of land cover. For example, areas with a
higher percentage of impervious surfaces were separated from areas with a lower percentage of
impervious surfaces. In order to not need to treat every rooftop, parking lot, sidewalk, etc. as an
individual watershed, groupings were made of similar surfaced areas so that weighted curve
numbers could be assigned. Figure 8 shows the sub-watersheds, numbered 1 through 10. For
each of these sub-watersheds the area was calculated (see Figure 9). The area in acres for each
sub-watershed is listed in Table 15.
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Figure 8: Post-development sub-watersheds
Figure 9: Post-Development Watershed Area Calculations
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As with the pre-development watershed, certain characteristics of the areas were determined,
including curve number values, roughness coefficients, and runoff coefficients. The curve
numbers were determined using Table 2-2a from the TR-55 guide (USDA, 1983), which can be
found in Table 9 in this report. These values were weighted for each area in order to determine
an appropriate curve number for each sub-watershed. See Table 15 for details of this
determination and the resulting curve numbers for each area.
Table 15: Post-Development Watershed Curve Number Detailed Summary
The Manning’s roughness coefficients for each sub-watershed area were also determined. These
values are taken from TR-55 (USDA, 1983) (see Table 3) and will be used to calculate time of
concentration. These values were weighted as with the curve numbers. A tabulation of the
results is found in Table 16.
Sub-Watersheds Cover Type Percentage Hydrologic Condition Soil Group
Curve Number for
Cover/Condition
Weighted Curve
Number for Area Area (acres)
Lawns, Parks , etc. 50% Fair C 79
Paved, Roofs , Streets , etc. 50% N/A C 98
Lawns, Parks , etc. 35% Fair C 79
Paved, Roofs , Streets , etc. 65% N/A C 98
Lawns, Parks , etc. 90% Fair C 79
Paved, Roofs , Streets , etc. 10% N/A C 98
Lawns, Parks , etc. 10% Fair C 79
Paved, Roofs , Streets , etc. 90% N/A C 98
Lawns, Parks , etc. 15% Fair C 79
Paved, Roofs , Streets , etc. 85% N/A C 98
Lawns, Parks , etc. 45% Fair C 79
Paved, Roofs , Streets , etc. 55% N/A C 98
Area 7Sagebrush/Grass 100% Poor C 80
80 8.44
Area 8Sagebrush/Grass 100% Poor C 80
80 14.68
Area 9Oak Aspen 100% Poor C 74
74 64.21
Area 10Oak Aspen 100% Poor C 74
74 84.79
22.67
91
81
96
95
89
6.58
32.17
26.28
27.73
23.71
Curve Number for Watershed = 82
Total Watershed Area = 311
Weighted Average = [(6.58 * 89)+(32.17 * 91)+(26.28 * 81)+(27.73 * 96)+(23.71 * 95)+(22.67 * 89)+(8.44 * 80)+ (14.68 * 80)+(64.21 * 74)+ (84.79 * 74) ] / 311
Area 1
Area 2
Area 3
Area 4
Area 5
Area 6
89
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Table 16: Post-Development Watershed Manning’s Roughness Coefficients
The SCS runoff curve number method was used to estimate volume of runoff in inches. See
Appendix A for a complete description of this method. The weighted curve number values from
Table 14 and precipitation values from NOAA Atlas 14, used in the pre-development SCS
method calculations, were used. The calculations produced the following results: S = 2.195
inches, Ia = 0.439 inches, and Q = 0.623 inches for a 5-year storm, 1.065 inches for a 25-year
storm, and 1.506 inches for a 100-year storm. See Table 17 for a detailed summary of results.
Table 17: SCS Method Detailed Summary
The runoff coefficient (C), which is used in the Rational Method to determine peak discharge,
was calculated using the results obtained from the SCS Method. The runoff coefficient is the
ratio of runoff to precipitation. The average runoff coefficient for the 5, 25, and 100-year storms
is 0.41. See Table 17 for detailed results. This value was compared to runoff coefficients that
have been empirically derived (see Table 5). This comparison provides concurrence that the
runoff coefficients calculated in Table 17 are within the average range.
Sub-Watersheds Surface Description Percentage
Coefficient for
Surface Type
Weighted
Coefficient for Area
Cultivated Soi ls 50% 0.17
Smooth Surface 50% 0.011
Cultivated Soi ls 35% 0.17
Smooth Surface 65% 0.011
Cultivated Soi ls 90% 0.17
Smooth Surface 10% 0.011
Cultivated Soi ls 10% 0.17
Smooth Surface 90% 0.011
Cultivated Soi ls 15% 0.17
Smooth Surface 85% 0.011
Cultivated Soi ls 45% 0.17
Smooth Surface 55% 0.011
Area 7Short Grass 100% 0.15
0.15
Area 8Short Grass 100% 0.15
0.15
Area 9Light Underbrush 100% 0.4
0.40
Area 10Light Underbrush 100% 0.4
0.40
Area 5 0.03
Area 6 0.08
Area 3 0.15
Area 4 0.03
Area 1 0.09
Area 2 0.07
CN P (in) S (in) Ia (in) Q (in) C
24 hour, 5 year storm 82 1.96 2.195 0.439 0.623 0.318
24 hour, 25 year storm 82 2.59 2.195 0.439 1.065 0.411
24 hour, 100 year storm 82 3.16 2.195 0.439 1.506 0.477
26 | P a g e
4.3 Time of Concentration
Time of concentration, the time required for water to flow from the most hydraulically distant
point in a watershed to the watershed outlet, was calculated for the post-development watershed.
See Appendix C for a complete description of this method. A modified version of the TR-55
(USDA, 1986) worksheet was used to calculate the travel time for each sub-watershed area and
the total time of concentration for the entire watershed. The time of concentration for the total
watershed was determined to be 0.90 hours or 54 minutes. See Table 18 for detail of
calculations. This decrease in time of concentration from the pre-development value is not
significant when considered for the entire watershed. However, when a comparison is made of
just the valley area, which is the developed portion of the watershed, the time of concentration
decreases by 28%, which is a drop from 13.6 minutes to 9.8 minutes.
Table 18: Time of Concentration Worksheet
4.4 Peak Discharge via the Rational Method
The rational method, which is Qp = CiA, was used to determine the peak discharge rates (Qp) for
the developed watershed. See Appendix E for a description of the method. The runoff
coefficient values (C) from Table 17 were used with the area values (A) from Table 15. The
precipitation value (i) was obtained from the NOAA Atlas-14 table in Appendix B. Because the
time of concentration was 50 minutes the precipitation value was determined by interpolating.
The peak discharge rates for each of the sub-watersheds are tabulated in Table 19. The peak
discharge rates for the entire watershed are 79.3 cfs for the 5-year storm, 169.4 cfs for the 25-
year storm, and 294.9 cfs for the 100-year storm. See Table 20 for detail of results.
Worksheet 3: Time of Concentration (Tc) or travel time (Tt)Project: MCE Building
Location: University of Utah
Sheet Flow
Segment ID #1 #2 #3 #4 #5 #6 #7 / #8 #9 / #10
1 Surface descriptions (table 3-1) Light Underbrush
2 Manning's roughness coefficient, n (table 3-1) 0.40
3 Flow length, L (total L † 300 ft) ft 300
4 Two-year 24-hour rainfall, P2 in 1.64
5 Land slope, s ft/ft 0.12
6 Tt = 0.007 (nL) 0.8 Compute Tt hr ⁺ 0.5880 0.5880
P20.5s0.4
Shallow Concentrated Flow
Segment ID #1 #2 #3 #4 #5 #6 #7 / #8 #9 / #10
7 Surface description (paved or unpaved) Paved Paved Unpaved Paved Paved Paved Unpaved Unpaved
8 Flow length, L ft 638 921 494 604 552 603 698 4163
9 Watercourse slope, s ft/ft 0.08 0.08 0.12 0.12 0.12 0.18 0.2 0.3
10 Average velocity, V (figure 3-1) ft/s 6 6 5.5 7 7 8.5 7 9
11 Tt = L Compute Tt hr 0.0295 0.0426 0.0249 0.0240 0.0219 0.0197 0.0277 ⁺ 0.1285 0.3189
3600 V
Watershed Tc (Total of Tt from 6 and 11) 0.9069
⁼
⁼⁺ ⁺ ⁺ ⁺ ⁺ ⁺
⁺ ⁺ ⁺ ⁺ ⁺ ⁺
27 | P a g e
Table 19: Peak Discharge for Each Sub-Watershed
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 6.58 0.802 0.318 1.67825 year Storm 6.58 1.325 0.411 3.583100 year Storm 6.58 1.988 0.477 6.240
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 32.17 0.802 0.318 8.20525 year Storm 32.17 1.325 0.411 17.519100 year Storm 32.17 1.988 0.477 30.506
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 26.28 0.802 0.318 6.70225 year Storm 26.28 1.325 0.411 14.311100 year Storm 26.28 1.988 0.477 24.921
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 27.73 0.802 0.318 7.07225 year Storm 27.73 1.325 0.411 15.101100 year Storm 27.73 1.988 0.477 26.296
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 23.71 0.802 0.318 6.04725 year Storm 23.71 1.325 0.411 12.912100 year Storm 23.71 1.988 0.477 22.484
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 22.67 0.802 0.318 5.78225 year Storm 22.67 1.325 0.411 12.346100 year Storm 22.67 1.988 0.477 21.497
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 8.44 0.802 0.318 2.15325 year Storm 8.44 1.325 0.411 4.596100 year Storm 8.44 1.988 0.477 8.003
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 14.68 0.802 0.318 3.74425 year Storm 14.68 1.325 0.411 7.994100 year Storm 14.68 1.988 0.477 13.921
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 64.21 0.802 0.318 16.37625 year Storm 64.21 1.325 0.411 34.967100 year Storm 64.21 1.988 0.477 60.889
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 84.79 0.802 0.318 21.62525 year Storm 84.79 1.325 0.411 46.175100 year Storm 84.79 1.988 0.477 80.404
Sub-Watershed #7
Sub-Watershed #8
Sub-Watershed #9
Sub-Watershed #10
Sub-Watershed #1
Sub-Watershed #2
Sub-Watershed #3
Sub-Watershed #4
Sub-Watershed #5
Sub-Watershed #6
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Table 20: Peak Discharge for Entire Post-Development Watershed
4.5 Predicted Hydrographs via HEC-HMS
HEC-HMS was again used to model the system for the three SCS design storms of 5, 25, and
100 years. This was done to obtain peak discharge rate and direct runoff hydrographs. See
Appendix F for detailed information about HEC-HMS and Appendix I for results of this
analysis. The peak discharge rates for the watershed are as follows: 5 year storm equals 189 cfs,
25 year storm equals 278 cfs, 100 year storm equals 363 cfs. See Table 21 for these results in
comparison to results obtained with the Rational Method. The peak discharge rates obtained
using HEC-HMS are higher than those obtained with the Rational Method. As stated, the
Rational Method is more accurate when used for smaller, semi-urbanized areas. Because most of
this watershed is not yet developed, and because of the size, HEC-HMS is assumed to produce
more accurate results. In addition, designing for the HEC-HMS produced values is a more
conservative approach to take in sizing the detention basin.
Table 21: Comparison of Peak Discharge Rates from the Rational Method and HEC-HMS
A (acres) i (in/hr) C Qp (cfs)
5 year Storm 311.00 0.802 0.318 79.316
25 year Storm 311.00 1.325 0.411 169.363
100 year Storm 311.00 1.988 0.477 294.914
Rational Method HEC-HMS
5 year Storm 79 189
25 year Storm 169 278
100 year Storm 294 363
Qp (cfs)
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5. Detention Basin Design
In order to adjust for the effects of urbanization on this watershed and account for the effects of
the built impervious surfaces on the natural hydrologic cycle, a detention basin is proposed. The
detention basin will temporarily detain storm water, and then release this storm water at a
determined rate in order to adjust for the quicker and more intense peak of the urbanized
hydrograph (see Figure 1). The detention basin will modify the outflow of storm water. The
peak discharge of the post-development watershed will be reduced to equal or less than the peak
discharge of the pre-development watershed.
5.1 Required Detention Basin Size
Using the following equation the approximate size of the detention basin was determined:
Vs = (Qpa - Qpb) * (tca) Equation 4
Where: Vs = Storage volume (ft3)
Qpa = Post-development peak discharge (cfs)
Qpb = Pre-development peak discharge (cfs)
tca = Post-development time of concentration (seconds)
The peak discharge rates used were values from HEC-HMS for the 100 year storm (see Tables 7
and 22). The result was a detention basin 480,911 ft3 or 11.04 acre-feet. A model was created in
HEC-HMS with a detention basin of 11.04 acre-feet. Through trial and error, and using the
detention basin and outlet structure as designed (see section 5.2 and 5.3), it was found that the
actual volume required was 9.27 acre-feet. At this volume the detention basin almost filled
during the 100-year storm event. Through the outlet structure the detained water was able to
drain at a maximum rate of 215 cfs. This peak discharge matches the peak discharge of the pre-
development watershed. See Appendix J for HEC-HMS inputs and results.
5.2 Detention Basin Design
For reasons of aesthetics the detention basin has been designed as an oval that will mimic the
shape of a natural water body. The basin will be 6 feet deep with a slope of 0.44 at the ends and
0.16 on the sides. At the necessary volume, the required surface area is 85,872 ft2. See Figure
10 for an image showing where the detention basin will be located. Figure 11 provides a
conceptual drawing of the detention basin with interior and exterior dimensions.
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Figure 10: Detention Basin Location
Figure 11: Conceptual Drawing of Detention Basin Design (NOTE: drawing not to scale)
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5.3 Outlet Structure Design
The outlet structure is designed to be constructed of concrete. It will be 6 feet tall and 5 foot by
5 foot wide. There will be 36 orifices total distributed equally on 3 sides. Each orifice will be
8.2 inches wide by 12” tall. The top of the structure will be open with a grate in case of storm
events greater than the 100-year storm. See Figure 12 for an example of a similar outlet
structure. See Figure 13 for a conceptual drawing of the structure for this project with
dimensions.
Figure 12: Example of an Outlet Structure
Figure 13: Conceptual Drawing of Outlet Structure Design (NOTE: drawing not to scale)
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5.4 Pipe Requirements for Detention Basin Inflow/Outflow
Manning’s equation for pipe flow was used to calculate the required inflow and outflow pipe
diameters for the detention basin. The equation is:
d = [3.208 * n/Kn * Qp/(So1/2
)]3/8
Equation 5
Where: d = diameter (feet)
n = Manning’s roughness coefficient
Kn = constant, 1.49 for U.S. Customary Units
Qp = peak discharge (cfs)
So = slope
The recommended pipe is reinforced concrete pipe (RCP) which has a roughness coefficient of
0.015. The minimum recommended slope is 0.50. The peak discharge values used are for the
100-year storm. The results of these calculations show that a 7 foot diameter pipe is needed for
the inflow and a 6 foot diameter pipe is needed for the outflow. See detailed results in Table 22.
Table 22: Inflow and Outflow Pipe Diameter Requirements
6. Summary and Conclusions
The purpose of this design is to provide a measure in which the natural hydrology that existed in
the pre-developed watershed can be returned to the urbanized watershed. The method selected in
order to accomplish this goal is a detention basin. The information gathered provided data from
which the pre-development peak discharge rates for various storms could be determined. A
specific pervious area, the MCE rooftop, within the watershed was analyzed in detail. This
provided confirmation of assumptions, which were then used to make generalizations for the
post-development watershed so that peak discharge rates could be estimated. With this
information a detention basin and outlet structure have been designed which will temporarily
detain storm water runoff and allow it to drain at the pre-development peak rate. Through the
installation of this detention basin the goal to return the post-development watershed to pre-
development hydrological conditions will be achieved.
For Detention Basin Inflow For Detention Basin Outflow
Qp: 363 cfs Qp: 215 cfs
n: 0.015 n: 0.015
K: 1.49 K: 1.49
So: 0.50% So: 0.50%
d: 6.797283 feet d: 5.58515 feet
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References
Huber, W.C., Bedient, P.B., Vieux, B.E., (2007), Hydrology and Floodplain Analysis, Place:
Publisher.
United States Department of Agriculture, Technical Release 55 (TR-55), Urban Hydrology for
Small Watersheds, June 1986
National Oceanic and Atmospheric Administration’s (NOAA) National Weather Service, Atlas
14 Point Precipitation Frequency Estimates, http://hdsc.nws.noaa.gov/hdsc/pfds/
34 | P a g e
Appendix A
SCS Curve Number Method
The SCS Curve Number Method was developed by the United State Department of Agriculture
(USDA) Natural Resources Conservation Service. The agency was formerly known as the Soil
Conservation Service or SCS. It is a method that is widely used for the predication of direct
runoff from storms. It is an empirical method developed by the USDA through the monitoring
and analysis of runoff from systems. It is a simple method to use and provides rough estimates
of the volume of runoff and infiltration.
The first step in this method is the identification of the appropriate curve number for the area to
be analyzed. The curve number is based on soil types, plant cover, amount of impervious areas,
interception, and surface storage. Curve numbers range from 30 to 98. Low numbers represent
lower runoff potential and more permeable surfaces while high numbers represent higher runoff
potential and more impervious surfaces. The TR55 guide published by the USDA includes a set
of four tables (Tables 2.2a through 2.2d) that are used to determine the curve number once the
other parameters have been determined.
The next step in this method is to determine the rainfall value. The selection of this value
depends on the duration and magnitude of design storm selected. Precipitation data is collected
by the National Oceanic and Atmospheric Administration (NOAA) and is available online at
http://dipper.nws.noaa.gov/hdsc/pfds/.
With values for the curve number and rainfall the calculations can be made. The equations are as
follows:
Q = (P – 0.2S)2 / (P + 0.8S) Equation 1
S = 1000/CN – 10 Equation 2
Ia = 0.2S Equation 3
Where: Q = runoff (in)
P = rainfall (in)
S = potential maximum retention after runoff begins (in)
Ia = initial abstraction (in)
The results from these equations are an estimated volume of runoff in inches (Q), an estimated
volume for initial abstractions in inches (Ia), and an estimated volume for potential maximum
retention in inches (S).
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Appendix C
Time of Concentration Method
Time of concentration (tc) is defined as the time required for water to flow from the most
hydraulically remote point in a watershed to the watershed outlet. It is an important parameter is
determining the response of a watershed to storm events. Time of concentration is dependent on
several factors including slope, distance, and surface conditions.
The method of segments is used to calculate time of concentration. This method consists of the
summation of three types of flow; sheet flow, shallow concentrated flow, and channel flow.
Sheet flow consists of the first 300 feet or less from the most remote point. The necessary
variables required to perform this calculation are the Manning’s roughness coefficient, which can
be found in Table 3-1 in the USDA TR-55 guide, the flow length, the two year, 24 hour rainfall
value for the area, and the land slope. With these values the following equation is used to
compute the time for this first section of flow.
T = (0.007 * (n * L)0.8
) / (P20.5
* s0.4
)
Where: T = time (hours)
n = Manning’s roughness coefficients
L = Flow length (ft)
P2 = Two-year 24-hour rainfall (in)
s = Land slope (ft/ft)
The next section of flow is shallow concentrated flow. The first step in this determining this
value is to determine the velocity of flow. This is done using the surface description of paved or
unpaved, the flow length, and the watercourse slope. From these variables the velocity can be
determined using figure 3-1 in the TR-55 guide (see Figure 14). Then the time is calculated
using the following equation:
T = L / (3600 * V)
Where: T = time (hours)
L = Flow length (ft)
V = Velocity (ft/s)
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Figure 14: Chart for Estimating Velocity from TR-55 (USDA, 1986)
The next section is channel flow, which may or may not be relevant to every watershed. In the
situation that channel flow does occur the velocity must again be determined. In this case it is
determined by using the Manning’s equation for open channel flow. This equation is as follows:
V = (1.49 * r2/3
* s1/2
) / (n)
Where: V = Velocity (ft/s)
r = Hydraulic radius (ft)
s = Channel slope (ft/ft)
n = Manning’s roughness coefficient
38 | P a g e
Once the velocity is determined the time is calculated using the following equation:
T = L / (3600 * V)
Where: T = time (hours)
L = Flow length (ft)
V = Velocity (ft/s)
The total of the 3 calculated times are added together and this is the time of concentration for the
watershed. This method is detailed in the USDA TR55 guide. The guide also provides a
worksheet that can be used as a tool in organizing the calculations. See Figure 15 for a example
of the Time of Concentration Worksheet included in the TR55 guide.
Figure 15: Time of Concentration Worksheet from TR55 Guide
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Figure 16: Time of Concentration, Path Lengths for Area 2 and Area 3
Figure 17: Time of Concentration, Path Length for Area 1
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Appendix E
Rational Method
The Rational Method is used to determine the peak discharge rate for a watershed. Peak
discharge is the highest rate of runoff resulting from a precipitation event. This value is
important to know for planning in order to avoid damage from flooding, to size storm water
management facilities, and to determine the effects of urbanization on the hydrology of a
watershed. The Rational Method provides a simple and quick method to calculate an
approximate peak discharge value. Following is the Rational Method equation:
Qp = CiA
where C = runoff coefficient
i = intensity of rainfall (in/hr)
A = area of the watershed (acres).
The runoff coefficient is the ratio of runoff to rainfall. There are charts available were these
coefficients can be obtained for various types of vegetation and cover (see Table 5 and Table 23
below). The coefficient can also be calculated if runoff and rainfall values are available. The
rainfall intensity needs to be selected for the storm duration that is the same time as the time of
concentration (see Appendix C for time of concentration method). The rainfall intensity can be
found at the NOAA Atlas-14 website. The area of the watershed needs to be in acres.
This method is very useful but does have some limitations. The method was developed for small
(100 acres or less) watersheds that are undergoing urbanization. Because of this the results are
not accurate when used for larger watersheds. The method assumes that rainfall intensity is
uniform over watershed and over duration of the storm event. It also assumes that runoff is
invariant with time, meaning that soil conditions do not change with time.
Table 23: Runoff Coefficients
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Appendix F
HEC-HMS Method
HEC-HMS is a computer program designed for modeling hydrologic systems. It is a free
program that was developed by the United States Army Corps of Engineers (USACE).
According to the USACE web page “the primary goal of HEC is to support the nation in its
water resources management responsibilities by increasing the Corps technical capability in
hydrologic engineering and water resources planning and management. An additional goal is to
provide leadership in improving the state-of-the-art in hydrologic engineering and analytical
methods for water resources planning.” (http://www.hec.usace.army.mil)
The following statement from the USACE web page sums up the program uses and capabilities:
The Hydrologic Modeling System (HEC-HMS) is designed to simulate the precipitation-
runoff processes of dendritic watershed systems. It is designed to be applicable in a wide
range of geographic areas for solving the widest possible range of problems. This
includes large river basin water supply and flood hydrology, and small urban or natural
watershed runoff. Hydrographs produced by the program are used directly or in
conjunction with other software for studies of water availability, urban drainage, flow
forecasting, future urbanization impact, reservoir spillway design, flood damage
reduction, floodplain regulation, and systems operation.
The program is a generalized modeling system capable of representing many different
watersheds. A model of the watershed is constructed by separating the hydrologic cycle
into manageable pieces and constructing boundaries around the watershed of interest.
Any mass or energy flux in the cycle can then be represented with a mathematical model.
In most cases, several model choices are available for representing each flux. Each
mathematical model included in the program is suitable in different environments and
under different conditions. Making the correct choice requires knowledge of the
watershed, the goals of the hydrologic study, and engineering judgment.
The program features a completely integrated work environment including a database,
data entry utilities, computation engine, and results reporting tools. A graphical user
interface allows the seamless movement between the different parts of the program.
Program functionality and appearance are the same across all supported platforms.
(http://www.hec.usace.army.mil)
In order to use the HEC-HMS program information about the watershed must be gathered prior
to modeling the system. This information includes geographical areas in square miles, curve
numbers which are based on soil types, plant cover, amount of impervious areas, interception,
and surface storage (see Appendix A), initial abstractions which are calculated using the SCS
Method (Appendix A), and time of concentration the watershed or each sub-watershed (see
Appendix C). Once this and other general information about the watershed is known a model
can be created in HEC-HMS. Next meteorological data must be entered for the types of storm
43 | P a g e
events that are to be analyzed. This information can be found at the NOAA Atlas-14 website
from tables or Intensity Duration Frequency (IDF) curves. The next step is to enter simulation
control specifications which determine the duration of the model event and the time steps the
program will use. With these steps completed a simulation can be performed.
Various results can be obtained from simulation runs including peak discharge rates and total
volume of runoff. The program produces hyetographs which graph precipitation intensity over
time and hydrographs which graph outflow over time, in addition to many other graphs that can
be used for hydrologic planning. Storm water management devices such as detention basins or
reservoirs can also be modeled in the system. The results of this analysis can be useful in
infrastructure design and the construction of storm water management devices.
The main limitation of HEC-HMS is that it is a complex program that takes training and practice
to use. Using HEC-HMS to calculate a peak discharge rate is much more complicated and time
consuming than using the Rational Method (see Appendix E). The other limitation to consider is
that the program was designed to model larger watersheds and does not perform as well for small
scale urban watersheds.
Figure 18: HEC-HMS Standard View Screen
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Appendix G
HEC-HMS Analysis – Pre-Development Watershed
Figure 19: HEC-HMS Watershed Model
Table 24: HEC-HMS Results, 5 year, 25 year, & 100 year storms
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Figure 20: 5 year storm hydrograph
Figure 21: 25 year storm hydrograph
Figure 22: 100 year storm hydrograph
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Appendix H
HEC-HMS Analysis – MCE Building Case Study
Figure 23: HEC-HMS Watershed Model for MCE Rooftop
Table 25: HEC-HMS Results, 5 year, 25 year, & 100 year storms
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Figure 24: 5 year storm hydrograph
Figure 25: 25 year storm hydrograph
Figure 26: 100 year storm hydrograph
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Appendix I
HEC-HMS Analysis – Post-Development Watershed
Figure 27: HEC-HMS Watershed Model
Table 26: HEC-HMS Results, 5 year, 25 year, & 100 year storms
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Figure 28: 5 year storm hydrograph
Figure 29: 25 year storm hydrograph
Figure 30: 100 year storm hydrograph
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Appendix J
HEC-HMS Analysis – Detention Basin
Figure 31: HEC-HMS Watershed Model
Table 27: HEC-HMS Results, 100-year storm