# CHAPTER 3 HYDROLOGY AND HYDRAULICS

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1 3.1 Introduction CHAPTER 3 HYDROLOGY AND HYDRAULICS This chapter sets forth the hydrologic parameters to be used in computations to determine volumes and peak rates of stormwater runoff as well as the hydraulic calculations for sizing stormwater conveyance systems. When analyzing an area for design purposes, urbanization of the full watershed should be considered. Zoning maps, land use plans, and master plans should be used as aids in establishing the anticipated surface character of the ultimate development. The selection of design runoff coefficients and/or percent impervious cover factors are explained in the following discussions. 3. Computation Methods for Runoff Runoff rates for each element of the proposed storm drainage system should be calculated using the criteria of this section for land use runoff factors, rainfall, and system time. Any nationally accepted computer modeling programs using NRCS methodologies are acceptable. 1. Rational Method The Rational Method may be used to calculate peak rates of runoff to elements of enclosed and open channel systems, including inlets, when the total upstream area tributary to the point of consideration is less than 100 acres. All modeling requiring a hydrograph should be done using NRCS methodology. The Rational Method is defined as follows: Q KCiA where: Q = Peak rate of runoff to system in cfs K = Dimensionless coefficient to account for antecedent precipitation (shown in Table 3.1 at the end of this chapter), except the product of C K shall not exceed 1.0. C = Runoff coefficient as determined in accordance with Table 3. at the end of chapter 3. i = Rainfall intensity in inches per hour as determined in accordance with Figure 3.1 at the end of chapter 3. The C value can be calculated from any type of land use and known percent impervious surface from the following equation: C = * I, where: I = percent impervious divided by 100 Hydrology and Hydraulics Chapter 3, Page 1

2 . Time of Concentration (T c ) Time of concentration is the longest time required for a rain drop to travel from the watershed divide to the watershed outlet. Tc is a fundamental watershed parameter used to compute the peak discharge for a watershed. The equation uses inputs for the longest watercourse length in the watershed (L), the average slope of that watercourse (S), and a coefficient representing the type of groundcover (C). Usually L and S can be obtained from topographic maps. The coefficient is determined from photographs of the watershed or field reconnaissance in addition to general accepted values for certain types of land use. This calculation uses the FAA equation. The ASCE (American Society of Civil Engineers) recommends its use. (see figure 3.) T c = 1.8 (1.1-C) L 0.5 S 0.33 C = dimensionless runoff coefficient L = distance traveled (in feet) from the furthest point in the watershed S = watershed slope (in percent) 3. NRCS Unit Hydrograph Method NRCS methodologies must be used for areas 100 acres or larger, and for detention basin routing. Areas less than 100 acres may use these methodologies as well. The NRCS unit hydrograph method includes the use of the NRCS unit hydrograph, the Type II rainfall distribution, 4-hour storm duration and NRCS TR-55 or WinTR55 methodologies for calculating time of concentration and runoff coefficients with the following exception: overland sheet flow length in the time of concentration calculation is limited to 100 feet (as established in the most current version of TR- 55). a. Rainfall Depths: The rainfall depths for Boone County Missouri are provided in Table 3.3 at the end of chapter 3. b. Runoff Coefficients: Runoff coefficients for various land use and zoning classifications by soil group may be found in Table 3.4 at the end of chapter 3. This information is also available in TR-55 and WinTR-55, a free program available on the National Resource Conservation Service s website. For areas not listed in Table 3.4, a composite runoff coefficient based on the actual percentages of pervious and impervious surfaces should be used. Hydrology and Hydraulics Chapter 3, Page

3 All Curve Numbers for disturbed soils or soils to be distributed shall be one letter greater than the Curve Number in the undisturbed condition. For example, if an area with Type C soils will be graded and seeded with grass, the composite curve number for the post-construction runoff calculations will need to be as if it is in Type D soils (CN = 84 vs. 79). c. Rainfall Mass The NRCS Type, twenty-four hour rainfall distribution should be used for computations that employ the use of rainfall mass. That rainfall distribution is reproduced in Table 3.5 at the end of this chapter, but is usually included in most hydrologic computer software and may not need to be input into the program. Other methods of computing rainfall mass (Huff Distribution) are acceptable and up to the design engineer. 4. Unit Hydrographs The NRCS Dimensionless Unit Hydrograph (either curvilinear or triangular) should be the basis for computation of runoff hydrographs. 5. Time of Concentration and Lag Time Time of Concentration (T c ) for NRCS methods shall be calculated using the method described in TR-55, except that the maximum overland flow length shall be 100 feet. Lag Time: (T L ) is the calculated time between the maximum rainfall intensity of a storm and the point of maximum discharge on the outlet hydrograph. Lag Time is used instead of time of concentration for unit hydrograph models. It shall be calculated as 3/5 th the time of concentration (T c ). The NRCS software, TR-55 and WinTR-55 calculate and apply lag time automatically. In other software the lag time may need to be calculated from Tc as indicated above and input into the program. 6. Hydrograph Routing Routing of hydrographs through storage elements or reservoirs shall be by modified- Puls level pool routing. Routing through channels shall be by the Muskingum-Cunge method. 7. Calibration and Model Verification Engineers recognize that significant uncertainty is associated with design discharge estimates and should provide estimates that are reasonably conservative and protective of the public interest. All design discharge estimates should be calibrated to the extent possible using reliable gauge data, high water marks, or historical accounts. Model results should be evaluated to verify that they are reasonably conservative as compared to observed data and standard practice. Model calibration should not be used to justify discharge estimates that are lower than those provided by the baseline unit hydrograph method, unless unusual site specific factors justify. In Hydrology and Hydraulics Chapter 3, Page 3

4 these situations the hydrologic impact of such factors must be thoroughly examined and documented. 3.3 Methods for Stormwater Management This section addresses runoff from projects after the construction phase is complete. Post-construction BMPs must treat runoff from the newly constructed or redeveloped site including runoff from roads, parking lots, yards, rooftops, and other land uses associated with development. 1. Water Quality Volume (WQv) The stormwater that initially runs off an area may have a higher concentration of pollution than the water that runs off later, after the rainfall has 'cleansed' the newly disturbed or impervious surfaces of the catchment. This high pollutant loaded water is sometimes called the first flush The existence of this first flush of pollutants provides an opportunity for controlling stormwater pollution from a broad range of land uses. First flush collection systems are employed to capture and reduce the water velocity, then isolate the polluted runoff from the cleaner water at the tail end of the storm. Boone County has set the volume of water for the first flush as the storm event that produces less than or equal to 90% of the volume of all 4-hour storms on an annual basis. The Water Quality Storm rainfall for Boone County is 1.3 inches. The Water Quality Volume is the storage needed to capture and treat 90 percent of the average annual stormwater runoff volume. WQv is based on the Water Quality Storm and volumetric runoff coefficient and site area. a. Structural and non-structural practices shall be designed to capture and treat the Water Quality Volume. Two methods can be used to calculate the WQv for a proposed development the Standard Method and the Small-Storm Hydrology Method. 1. Short-Cut Method WQv = P * Rv where: WQv = Water Quality volume (in watershed inches) P = Rainfall depth generated by the 90% storm event in inches (water quality storm) Rv = volumetric runoff coefficient = = (I) I = Percent of site with impervious cover. The Small Storm Hydrology Method (Claytor and Schueler 1996) is based on the volumetric runoff coefficient (Rv), which Hydrology and Hydraulics Chapter 3, Page 4

5 accounts for specific characteristics of the pervious and impervious surfaces of the drainage catchment. This method may be used for all drainage areas. Rv s used to compute the volume of runoff are identified in Table 3.6 at the end of chapter 3. The Small Storm Hydrology Method is: WQv = P * Weighted Rv WQv = Water Quality volume (in watershed inches) Weighted Rv = (Rv1*Ac1) + (Rv*Ac) + (Rv i *Ac i )/Total Acreage P = Rainfall generated by 90% storm even in inches (water quality storm) Rv i = Volumetric runoff coefficient for impervious cover type i Ac i = Acreage of impervious cover type i Total Acreage = Total acreage of the drainage area If a portion of the site has disconnected impervious surfaces, reduction factors are applied to Rv. The reduction factors (from Table 3.7) are multiplied by the computed Rv for connected impervious areas to obtain the corrected value. In order to use the reduction factors for disconnected impervious surfaces, as general guidance, the impervious area above the pervious surface area should be less than one-half of the pervious surface and the flowpath through the pervious area should be at least twice the impervious surface flowpath. The Small Storm Hydrology method has the advantage of evaluating the precise elements of a particular site and should be utilized for most design applications to estimate accurate runoff volumes. The method requires somewhat more effort to identify the specific land surface area ratios and additional effort is needed to assess the disconnections of impervious areas. The method rewards site designs which utilize disconnections of impervious surfaces by lowering the computed Rv and the required WQv. To convert WQv from watershed inches to volume in cubic feet: WQv (in cubic feet) = [WQv (in watershed inches)/1]*a A = Watershed area (in square feet) b. To size a conveyance BMP correctly, calculate the peak discharge for the Water Quality Storm. Use the following procedure for estimating the peak discharge for the Water Quality Storm (Claytor and Schueler 1996): Hydrology and Hydraulics Chapter 3, Page 5

6 1. Calculate a Curve Number (CN) based on the previously calculated WQv: CN = 1000/[10 + 5P + 10Q 10(Q QP) 1/ ] P = Water Quality Storm rainfall (inches) Q = Runoff volume (inches) equal to WQv. Determine Time of Concentration (Tc): Tc = (L 0.8 [(1000/CN)-9] 0.7 )/(1140 * Y 0.5 ) Tc = Time of concentration (hours) L = Flow length (feet) CN = Runoff Curve Number Y = Average watershed slope (percent) Use a minimum of 0.1 hours for Tc. 3. Determine Initial Abstraction (Ia) Use Table 3.8 at the end of this chapter, or TR Compute Ia/P and use Figure 3.3 at the end of this chapter, or Exhibit 4-II in TR-55 to determine the unit peak discharge (qu) for the appropriate Tc. If Ia/P is outside of the limiting values of Figure 3.3, the limiting value should be used. Convert this value from cfs/sm/in to cfs/ac/in, multiplying by (1 square mile/640 acre). 5. Calculate the peak discharge: Qp = qu * A * WQv where: Qp = Peak discharge (cubic feet per second [cfs]) qu = Unit peak discharge (cubic feet per second/acre/inch of runoff) A = Drainage area (acres) WQv = Water Quality Volume (watershed inches) For computing runoff volume and peak flow rate for storms larger than the Water Quality Storm, use the published Curve Number Hydrology and Hydraulics Chapter 3, Page 6

7 from TR-55, and follow the prescribed procedures in TR-55 or other approved methods. Water Quality Hydrology Example Calculations: Example 1 3-acre office park, 70% Impervious, 30% Lawn and Landscaping Flow length = 400 feet, average watershed slope = 4% Calculate WQv in watershed inches: Because this is a small site with one predominant type of cover, use the Short-Cut Method. P = 1.3 inches Rv = (70%) = 0.68 WQv = (1.3)(0.68) = 0.88 watershed inches Convert WQv to cubic feet: WQv = 0. 88in * 3 acres *43560 ft 1 in/ft acre = 9583.ft 3 Calculate peak discharge for the Water Quality Storm: 1. CN = 1000/[ * * ( * 0.88 * 1.3) 0.5 ] = Tc = ( [(1000/95.7) 9] 0.7 ) /(1140 * ) =0.07 hours *Use 0.10 hours (minimum Tc) 3. From table 3.8 or Table 4-1 in TR-55 CN = 95, Ia = CN = 96, Ia = Using linear interpolation, CN = 95.7, Ia = Ia/P = 0.090/1.3 = 0.7 From Figure 3.3 (or TR-55 Exhibit 4-II), the limiting value for Ia/P = Therfore, using Ia/P = 0.10, qu = 1000 cfs/m /in * 1 m 640 acre qu = 1.56cfs/ac/in Hydrology and Hydraulics Chapter 3, Page 7

8 5. Qp = (1.56 cfs/ac/in)(3 ac)(0.88 in) = 4.1 cfs Example 1-acre commercial development and park, acres flat rooftops,.3 acres impervious parking, 0.7 acres narrow streets, 7 acres green space (hydrologic soils group C) Flow length = 1000 feet, average watershed slope = % Calculate WQv in watershed inches: Use the Small Storm Hydrology Method P = 1.3 inches Weighted Rv = [(0.86)( ac) + (0.98)(.3 ac) + (0.75)(0.7 ac) = (0.)(7 ac)]/1 ac = 0.50 WQv = (1.3)(0.50) = 0.65 watershed inches Convert WQv to cubic feet: WQv = 0. 65in * 1 acres *43560 ft 1 in/ft acre = 8314 ft 3 Calculate peak discharge for the Water Quality Storm: 1. CN = 1000/[ * * ( * 0.65 * 1.3) 0.5 ] = 9.3. Tc = ( [(1000/9.3) 9] 0.7 ) /(1140 * 0.5 ) =0.4 hours 3. From table 3.8 (or Table 4-1 in TR-55) CN = 9, Ia = CN = 93, Ia = Using linear interpolation, CN = 9.3, Ia = Ia/P = 1.3 From Figure 3.3 (or TR-55 Exhibit 4-II), the limiting value for Ia/P = Therfore, using Ia/P = 0.10, qu = 750 cfs/m /in * 1 m 640 acre qu = 1.17cfs/ac/in 5. Qp = (1.17 cfs/ac/in)(1 ac)(0.65 in) Hydrology and Hydraulics Chapter 3, Page 8

9 = 9.13 cfs. Channel Protection Storage Volume (CP V ) The channel protection volume is the volume of water that generates the bank-full condition. This is defined by the 1.5 to year storm event. These frequent flows provide velocities that are strong enough to modify and govern the channel shape and condition. There are two allowable methods to provide channel protection on newly developed sites. a. Two-year capture, One-year release: To provide channel protection, detention should be modeled such that the inflow storm equals the postdeveloped -year 4-hour storm event (50% annual chance) storm and the outflow storm equals the pre-developed one-year, 4-hour storm event. The rationale for this criterion is that runoff will be stored and released in such a gradual manner that critical erosive velocities during bankfull and nearbankfull events will seldom be exceeded in downstream channels. A detention pond or underground vault is normally needed to meet the CPv requirement. As a basis for determining Channel Protection Storage Volume, the following assumptions may be made: The model TR-55 (or approved equivalent) shall be used for determining peak discharge rates. The rainfall depth for the two-year (50% annual chance), 4-hour storm event is 3.5 inches. Use Type II rainfall distribution. The length of overland flow used in time of concentration (Tc) calculations is limited to no more than 100 feet for post project conditions. CPv shall be addressed for the entire site. If a site consists of multiple drainage areas, CPv may be distributed proportionately to each drainage area. Where additional detention/retention is provide in one portion of the site to achieve the overall site s CPv storage, no one discharge point can release greater than the pre-developed -year (50% annual chance) peak discharge from the entire site. Extended detention storage provided for the CPv does not fully meet the WQv requirement (that is CPv and WQv should be treated separately). The stormwater storage needed for CPv may be provided above the WQv storage in stormwater ponds and wetlands; thereby meeting all storage Hydrology and Hydraulics Chapter 3, Page 9

10 criteria in a single facility with appropriate hydraulic control structures for each storage requirement. Infiltration is not recommended for CPv control because of large storage requirements. If proven effective, appropriate and desirable however, in some rare situations it may be permissible. b. Micro Detention: When space is tight, or in residential subdivisions, the design engineer can use multiple small detention basins, instead of one large basin to detain some or all of the stormwater runoff on the development site. Stormwater micromanagement works by temporarily storing stormwater in many varied locations near where it falls as precipitation. The idea is to release the volume of stormwater runoff into the storm drain system gradually to reduce the peak flow. Numerous components may comprise a micro detention system, including: downspout disconnection; surface storage of stormwater (conventional detention/retention) with regulated outflow; or even subsurface storage with regulated outflow achieved by a combination of catch basin flow restrictors. Rarely is the total volume of stormwater generated entirely infiltrated. Therefore, micro-detention is typically only one of a series of BMPs. To encourage micro-detention and utilize stormwater BMPs to detain stormwater, the difference (increase) in the runoff volume that is predicted due to the development during the -year event will be stored and released at no more than 0.1 cfs/acre. The following procedures shall be used: Store the extra volume of water that is predicted to runoff due to development during the -year event. Use the TR-55 Method or those based on Rational Method coefficients to calculate the additional runoff volume. The storage volume can be spread among multiple small storage areas. The rate of release from these storage areas can be no more than 0.1 cfs/acre. 0.1 cfs/acre is the runoff rate that occurs for a basin with CN of 78 and Tc of 15 minutes during a 4-hour water quality storm (1.3 of rainfall using SCS type II rainfall distribution). At least 75% of the site area must drain through one of these basins and the volume stored must account for added runoff from entire disturbed site. Drainage areas can go through any number of individual storage basins, but credit is only given once for any particular area. Areas in series Hydrology and Hydraulics Chapter 3, Page 10

11 should produce better results, but this method does not attempt to account for the added benefit. Because this method does not address peak flow rates leaving the site, please verify that there are no flooding problems immediately downstream. Easements are required for detention areas that are used to meet this requirement. Equations 1) S r = Q post - Q exist Where S r is the Required Storage (ft 3 ) Q post is the total runoff for the total disturbed area post project in a -year storm (ft 3 ) Q exist is the total runoff for the total disturbed area pre project in a -year storm (ft 3 ) SCS Method ) Q = A*((P-I a ) /((P- I a )+S))*(43560/1) 3) I a =0.*S 4) S = (1000/CN) -10 Q is the total runoff volume (ft 3 ) A is the total site disturbed area (acres) CN is the NRCS curve number taken from tables in manual based on pre or post project conditions P is the -year, 4 hour rainfall depth (inches) I a and S are variables in the NRCS method that are calculated directly from CN as shown in equations 3 and 4. Rational Coefficient Method 5) Q = A*P*C*(43560/1) Where Q is the total runoff volume (ft 3 ) A is the drainage area (acres) P is the year, 4 hour rainfall depth (inches) C is the rational method coefficient taken from tables in the manual based on pre or post project conditions. To make sure that an appropriate amount of storm water makes it to each of the detention areas, each detention area is only given credit for a proportional amount of drainage area as described by the following equations. 6) AVR = A/ S r Hydrology and Hydraulics Chapter 3, Page 11

12 Where AVR is the allowed area to volume ratio A is the total site disturbed area (acres) S r is the Required Storage (ft 3 ) 7) A cui = A ci - A cuti Where A cui is the untreated contributing drainage area (see note) for storage area i. (acres) A ci is the total contributing drainage area for storage area i. (acres) A cuti is the total upstream treated area for all upstream storage areas in a series. (acres) NOTE: It does not matter whether the contributing areas are from the project site or not. It is the total volume of water stored, that is important. However, for water quality (WQv) credits, it does matter which water you treat. 8) A ti = Minimum of (A cui OR Si*AVR) Where A ti = the treated area for storage area i. (acres) S i is the total volume of storage in storage area i, below the depth at which the outflow rate equals the allowable outflow rate. Criteria: The sum of all S i must equal or exceed S r AND the sum of all A ti must equal or exceed 75% of the disturbed site area. 3.4 Hydraulic Calculations for Pipes, Culverts, and Open Channels Gravity versus Pressure Flow for Enclosed Systems - Two design philosophies exist for sizing storm drains under the steady uniform flow assumption. The first is referred to as open channel, or gravity flow design, in which the water surface within the conduit remains open to atmospheric pressure. Pressure flow design, on the other hand, requires that the flow in the conduit be at a pressure greater than atmospheric. For a given flow rate, design based on open channel flow requires larger conduit sizes than those sized based on pressure flow. While it may be more expensive to construct storm drainage systems designed based on open channel flow, this design procedure provides a margin of safety by providing additional headroom in the conduit to accommodate an increase in flow above the design discharge. Under most ordinary conditions, it is recommended that storm drains be sized based on a gravity flow criteria at full flow or near full. However, pressure flow design is allowed. As hydraulic calculations are performed, frequent Hydrology and Hydraulics Chapter 3, Page 1

13 verification of the existence of the desired flow condition should be made. Storm drainage systems can often alternate between pressure and open channel flow conditions from one section to another (U.S. Department of Transportation Federal Highway Administration, 1996). 1. Gravity Flow For gravity flow conditions, Manning s formula shall be used as described below Q A R n / 3 S 1/ Q = Discharge (in cubic feet per second) A = Cross sectional area of flow (in square feet) n = Roughness Coefficient (see Table 3.9 at the end of this chapter) A R = Hydraulic radius R (in feet) P S = Slope (in feet per foot) P = Wetted perimeter (in feet). Pressure Flow In closed conduits flowing under pressure flow, the hydraulic grade line (HGL) will be above the crown of the pipe. In this case, the Bernoulli equation shall be used to calculate pipe capacity: p1 v1 p v z1 z g g h f h m p 1 = upstream system pressure head (feet) v1 = upstream velocity head (feet) g z 1 = elevation of upstream system invert (feet) p = downstream pressure head (feet) Hydrology and Hydraulics Chapter 3, Page 13

14 v = downstream velocity head (feet) g z = downstream invert elevation (feet) h f = system friction loss (feet) h m = system junction (so-called minor) losses (feet) Pipe friction losses, h f, may be calculated using the friction slope method. This derivation of Manning s equation is from (FHWA, 1996). h f ( Q n) S f L / 3 (1.486A R ) L S f = friction slope, ft/ft Note: For normal flow, S f = HGL slope. However, due to numerous inlets, junctions, changes in direction and slope etc., and due to the nature of rainfall, storm drainage systems are often in unsteady, gradually varied or rapidly varied flow regimes in which this is not true. Junction (so-called minor) losses, h m, shall be calculated by: 3. Culverts v h m k g k = Coefficient as shown in Table 3.10 at the end of chapter 3 v = downstream velocity head (feet) g A step-by-step procedure for manual calculation of the HGL using the energy loss method is presented in Section 7.5 of FHWA s Urban Drainage Design Manual (FHWA, 1996). For most drainage systems, computer methods such as HYDRA, StormCAD, CulvertMaster, SWMM, or InteliSOLVE are the most efficient means of evaluating the HGL and designing the system elements. Hydrology and Hydraulics Chapter 3, Page 14

15 Culverts are classified as having either entrance or outlet control. Either the inlet opening (entrance control), or friction loss within the culvert and/or backwater from the downstream system (outlet control) will control the discharge capacity. Culverts must be analyzed for both types of flow. Whichever produces the highest headwater depth must be used. a. Entrance Control Entrance control occurs when the culvert is hydraulically short (when the culvert is not flowing full) and steep. The flow regime at the entrance is critical as the water falls over the brink (water passes from subcritical to supercritical flow). If the tailwater covers the culvert completely (i.e., a submerged exit), the culvert will be full at that point, even though the inlet control forces the culvert to be only partially full at the inlet. The transition from partially full to full occurs in a hydraulic jump, the location of which depends on the flow resistance and water levels. If the flow resistance is very high, or if the headwater and tailwater levels are high enough, the jump will occur close to or at the entrance. Design variables for culverts operating under entrance control shall be determined from Figures 3.4 through b. Outlet Control If the flow in a culvert is full for its entire length, then the flow is said to be under outlet control. The discharge will be a function of the differences in tailwater and headwater levels, as well as the flow resistance along the barrel length. Design variables for culverts operating under outlet control shall be determined from Figures 3.11 through Alternatively, refer to the Federal Highway Administration website for these charts and more ( Download applicable design manuals, reports, and FHWA hydraulics engineering software such as Bridge Waterways Analysis Model (WSPRO), FHWA Culvert Analysis, and HDS 5 Hydraulic Design of Highway Culverts from: HEC-RAS may also be used for culvert analysis. 4. Open Channels/Bridges Proper evaluation of the velocity, depth, and width of flow requires analyses of the structures and conditions that impact the flow. Boundary flow conditions upstream and downstream from the open channel system must be established. The standardstep backwater method, using the energy equation, can be used to determine the depth, velocity, and width of flow. Major stream obstructions, changes in slope, changes in cross-section, and other flow controls can cause significant energy loss. In these cases, the energy equation does not apply and the momentum equation must be used to determine the depth, velocity, and width of flow. Hydrology and Hydraulics Chapter 3, Page 15

16 Hydraulic calculations for open channels may also be made by the U.S. Army Corps of Engineer s HEC-RAS River Analysis System computer programs. The HEC- RAS system is intended for calculating water surface profiles for steady and unsteady, gradually varied flow. The system can handle a full network of channels, a dendritic system, or a single river reach. HEC-RAS is capable of modeling subcritical, supercritical, and mixed flow regime water surface profiles. (Available from Hydraulic Analysis of Systems by Computer Models The following list provides commonly used computer programs for analyzing specific hydraulic systems. This is not an exhaustive list and alternates may be used that are widely accepted throughout the engineering industry. Enclosed pipe systems in gravity flow SWMM Transport (EPA) HYDRA (FHWA) StormCad (Haested Methods) DR3M (USGS) InteliSOLVE Hydraflow (Autodesk) Enclosed pipe systems in pressure flow SWMM EXTRAN (EPA) MOUSE (DHI) HYDRA (FHWA) StormCad (Haested Methods) InteliSOLVE Hydraflow (Autodesk) Culverts HY8 (FHWA) WSPRO (USGS) CulvertMaster (Haested Methods) HEC-RAS (USACE) Hydraflow (Autodesk) Open Channels and Culverts/Bridges HEC-RAS (USACE) WSPRO (USGS) HYCHL (FHWA) SWMM Transport and EXTRAN (EPA) DR3M (USGS) Hydraflow (Autodesk) Hydrology and Hydraulics Chapter 3, Page 16

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