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IR is the infiltration rate of the native soils (inches/hr). | IR is the infiltration rate of the native soils (inches/hr). | ||
− | If the | + | If the DDT<sub>calc</sub> is greater than the user defined required drawdown time then the user will be prompted to enter a new depth below the underdrain or infiltration rate of the native soils. |
===Methodology=== | ===Methodology=== |
A swale main channel with an underdrain behaves similar to a bioretention BMP with an underdrain. Volume retention is achieved through infiltration of water stored in the pore spaces of engineered media between the invert of an elevated underdrain and the native soils. If the underdrain is not elevated above the native soils then volume reduction is achieved through infiltration below the underdrain. Volume retention also occurs by evapotranspiration through the vegetation in the swale. If runoff to the main channel flows over a side slope through sheet flow, a swale side slope BMP should be used in combination with the swale main channel BMP. All pollutants in infiltrated water are removed, while pollutants are removed through filtration for the water that flows through an underdrain.
For a swale main channel with underdrain system, the user must input the following parameters to calculate the volume and pollutant load reductions associated with the BMP.
If a swale side slope is routed to this BMP, do not include the side slope watershed areas for the swale main channel since this would be double counting the contributing area.
The following are requirements for inputs into the MIDS calculator. If the following are not meet an error message will inform the user to change the input to meet the requirement.
\(〖DDT〗_calc=D_U/(I_R/ 12)\)
Where DU is the depth below the underdrain (ft); and IR is the infiltration rate of the native soils (inches/hr).
If the DDTcalc is greater than the user defined required drawdown time then the user will be prompted to enter a new depth below the underdrain or infiltration rate of the native soils.
“Required treatment volume,” or the volume of stormwater runoff delivered to the BMP, equals the performance goal (1.1 inches or user-specified performance goal) times the impervious area draining to the BMP. This stormwater is delivered to the BMP instantaneously following the Kerplunk method.
The volume reduction achieved by a BMP compares the capacity of the BMP to the required treatment volume. The “Volume reduction capacity of BMP [V]” is calculated using BMP inputs provided by the user. For this BMP, the volume reduction credit methodology is determined by the location of the underdrain.
Underdrain located at BMP bottom: If the underdrain is located at the bottom of the BMP, then the “Volume reduction capacity of BMP [V]” is determined based on infiltration into the bottom of the BMP (Vinf_b) and evapotranspiration in the planting media above the underdrain (VET).
Even with an underdrain present, under saturated media conditions some water will infiltrate through the bottom soils as water in the basin draws down. The volume of water lost through the bottom (Vinf_b) of the BMP equals the following
\(V_(Inf_B)=I_R*(DDT)*W_B*L_C/(12in/ft)\)
Where
IR is an infiltration rate into the native soils of 0.06 inches per hour; WB is the width of the main channel (ft); LC is the channel length(ft); and DDT is the drawdown time in hours.
The default infiltration rate is set at 0.06 inches per hour to represent a D soil. This rate was selected because it is assumed most of the stormwater will pass through the underdrain before it can infiltrate through the bottom of the BMP. This may be a conservative assumption if underdrains are small, spaced far apart, and the underlying soil has an infiltration rate greater than 0.06 inches per hour. Conversely, more closely spaced or larger underdrains may allow the basin to drain in less than the required drawdown time, resulting in a slight overestimation of infiltration loss through the basin bottom. If the user specifies that an impermeable liner is present at the bottom of the BMP, then no credit is given for infiltration into the bottom soils.
In addition to the credit given for the infiltration below the underdrain, a swale main channel BMP can also achieve stormwater volume reduction through evapotranspiration (VET). The volume of water lost through evapotranspiration (VET) is the smaller of two calculated values, potential ET and measured ET.
\(}〖ET〗_pot=((D_M-D_U )*(L_C*W_B)*(FC-WP))\)
The following are requirements for inputs into the MIDS calculator. If the following are not meet an error message will inform the user to change the input to meet the requirement.
\(〖DDT〗_calc=D_U/(I_R/ 12)\)
Where DU is the depth below the underdrain (ft); and IR is the infiltration rate of the native soils (inches/hr).
If the DDTcalc is greater than the user defined required drawdown time then the user will be prompted to enter a new depth below the underdrain or infiltration rate of the native soils. Methodology Required Treatment Volume “Required treatment volume,” or the volume of stormwater runoff delivered to the BMP, equals the performance goal (1.1 inches or user-specified performance goal) times the impervious area draining to the BMP. This stormwater is delivered to the BMP instantaneously following the Kerplunk method. Volume Reduction The volume reduction achieved by a BMP compares the capacity of the BMP to the required treatment volume. The “Volume reduction capacity of BMP [V]” is calculated using BMP inputs provided by the user. For this BMP, the volume reduction credit methodology is determined by the location of the underdrain. Underdrain located at BMP bottom: If the underdrain is located at the bottom of the BMP, then the “Volume reduction capacity of BMP [V]” is determined based on infiltration into the bottom of the BMP (Vinf_b) and evapotranspiration in the planting media above the underdrain (VET). Even with an underdrain present, under saturated media conditions some water will infiltrate through the bottom soils as water in the basin draws down. The volume of water lost through the bottom (Vinf_b) of the BMP equals the following: V_(Inf_B)=I_R*(DDT)*W_B*L_C/(12in/ft) Where IR is an infiltration rate into the native soils of 0.06 inches per hour; WB is the width of the main channel (ft); LC is the channel length(ft); and DDT is the drawdown time in hours. The default infiltration rate is set at 0.06 inches per hour to represent a D soil. This rate was selected because it is assumed most of the stormwater will pass through the underdrain before it can infiltrate through the bottom of the BMP. This may be a conservative assumption if underdrains are small, spaced far apart, and the underlying soil has an infiltration rate greater than 0.06 inches per hour. Conversely, more closely spaced or larger underdrains may allow the basin to drain in less than the required drawdown time, resulting in a slight overestimation of infiltration loss through the basin bottom. If the user specifies that an impermeable liner is present at the bottom of the BMP, then no credit is given for infiltration into the bottom soils. In addition to the credit given for the infiltration below the underdrain, a swale main channel BMP can also achieve stormwater volume reduction through evapotranspiration (VET). The volume of water lost through evapotranspiration (VET) is the smaller of two calculated values, potential ET and measured ET. Potential ET (ETpot) is equal to the amount of water stored between field capacity and the wilting point in the media above the underdrain. ETpot is given by 〖ET〗_pot=((D_M-D_U )*(L_C*W_B)*(FC-WP)) where DM is the total media depth in feet, DU is the depth under the underdrain in feet, LC is the channel length, WB is the channel width, and (FC – WP) is the difference between field capacity and wilting point. Measured ET (ETmea) is the amount of water lost to ET as measured using available data. Pan evaporation (PE) measurements collected at the University of Minnesota Southwest Experiment Station at Lamberton, Minnesota were used to estimate an average daily PE (Source: Climate of Minnesota Part XII- The Hydrologic Cycle and Soil Water, 1979). A rate of 0.2 inches per day was used, which is an intermediate value between the summertime maximum rate and the lowest rates in October. PE is converted to ET by multiplying by a correction factor of 0.5. Analysis of rainfall patterns indicates that a typical time period between precipitation events is 72 hours in Minnesota. Therefore, a volume loss from ET is calculated over a 3 day period to measure conformance to the MIDS performance goal. Therefore, the measured ET volume equals the media surface area (LC * WB) in square feet times the daily ET rate in inches per day times 3 days.
〖ET〗_mea=L_C*W_B*0.2 in/day*0.5*3 days/12 in/ft
Measured ET and potential ET are compared and the volume lost to ET is the smaller of the two values. Elevated Underdrain: If the underdrain is elevated above the bottom of the BMP, then the volume reduction credit is determined based on the storage capacity in the media between the underdrain and the native soils and evapotranspiration in the planting media above the underdrain (VET). The volume captured below the underdrain equals the following: V= L_C*W_B*n*D_U Where LC is the channel length (ft); WB is the channel width (ft); (n-FC) is the media porosity minus the field capacity; and DU is the depth below the underdrain (ft). The stored water must drain within the specified drawdown time. The underlying soil controls the infiltration rate. The user must input the soil with the most restrictive hydraulic conductivity in the 3 feet directly below the basin (i.e. below the bottom of the engineered media). In addition to the credit given for the storage capacity below the underdrain, a swale main channel system with an elevated underdrain also receives volume reduction credit for evapotranspiration. Credit is given following the same methods described when the underdrain is located at the bottom of the BMP (see discussion above). The “Volume of retention provided by BMP” is the amount of volume credit the BMP provides toward the performance goal. This value is equal to the “Volume reduction capacity of BMP [V]”, calculated using the above method, as long as the volume reduction capacity is less than or equal to the “Required treatment volume.” If “Volume reduction capacity of BMP [V]” is greater than “Required treatment volume”, then the BMP volume credit is equal to “Required treatment volume.” This check makes sure the BMP is not getting more credit than the amount of water it receives. For example, if the BMP is oversized the user will only receive credit for “Required treatment volume” routed to the BMP. Pollutant Reduction Pollutant load reductions are calculated on an annual basis. Therefore, the first step in calculating annual pollutant load reductions is converting “Volume reduction capacity of BMP,” which is an instantaneous volume reduction, to an annual volume reduction percentage. This is accomplished through the use of performance curves (add link to addendum) developed from multiple modeling scenarios. The performance curves use “Volume reduction capacity of BMP [V]”, the infiltration rate of the underlying soils, the contributing watershed percent impervious area, and the size of the contributing watershed to calculate a percent annual volume reduction. While oversizing a BMP above “Required treatment volume” will not provide additional credit towards the performance goal volume, it may provide additional pollutant reduction. A 100 percent removal is credited for all pollutants associated with the reduced volume of stormwater. Stormwater captured by the swale system but not infiltrated or consumed through ET is assumed to flow through the filter media and out the underdrain. A constant 68 percent removal rate is applied to the filtered stormwater for TSS reduction. The removal rates of the filtered stormwater for annual particulate phosphorus and dissolved phosphorus depend on the answers given to the three user inputs: “Planting media mix”, “Is the P content of the media less than 30 mg/kg?” and “Is a soil amendment used to attenuate phosphorus?” Particulate Phosphorus: The particulate phosphorus credit given is either 0 percent or 45 percent depending on the media mix used and the P content of the media. If Media Mix C or D is used, the annual particulate phosphorus reduction credit is 45 percent of the filtered water volume. If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test or a suitable alternative test is 30 milligrams per kilogram or less, the annual particulate phosphorus reduction credit is 45 percent of the filtered water volume. If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test or a suitable alternative test is greater than 30 milligrams per kilogram, the annual pollutant phosphorus reduction credit is 0 percent of the filtered water volume. If a media mix other than C or D is used and the soil phosphorus has not been determined, the annual particulate phosphorus credit is 0 percent of the filtered water volume. Dissolved Phosphorus: The dissolved phosphorus credit given is between 0 percent and 60 percent depending on the media mix, the media P content, and if the media was amended to attenuate phosphorus. If Media Mix C or D is used, or if a media mix other than C or D is used and soil phosphorus as measured using the Mehlich 3 test or a suitable alternative test is 30 milligrams per kilogram or less, the annual dissolved phosphorus credit applied to the filtered water volume is calculated by credit=20%*((D_M- D_U))/(2 ft) where (DM - DU) represents the media depth above the underdrain. The credit is calculated as a percent reduction with a maximum value of 20 percent for media depths above the underdrain greater than 2 feet. If the media depth above the underdrain is less than 2 feet the credit is reduced equivalently. If a media mix other than C or D is used and the soil phosphorus as measured using the Mehlich 3 test or a suitable alternative test is greater than 30 milligrams per kilogram, the annual dissolved phosphorus credit is 0 percent of the filtered water volume. If a media mix other than C or D is used and the soil phosphorus has not been determined, the annual dissolved phosphorus credit is 0 percent of the filtered water volume. An additional annual dissolved phosphorus credit of 40 percent of the filtered water volume may be received if phosphorus-sorbing amendments are used. Acceptable amendments include the following: 5 percent by volume elemental iron filings above the internal water storage (IWS) layer or elevated underdrain; minimum 5 percent by volume sorptive media above IWS layer or elevated underdrain; minimum 5 percent by weight water treatment residuals (WTR) to a depth of at least 3.9 inches (10 centimeters); An additional annual dissolved phosphorus credit commensurate with the research results can be applied if other phosphorus-sorptive amendments are proposed that have supporting third party research results showing dissolved phosphorus reduction for at least a 20-year lifespan. The removal rates of the filtered stormwater for annual particulate phosphorus and dissolved phosphorus is summarized in the following table. NOTE: The user can modify event mean concentrations (EMCs) on the Site Information tab in the calculator. Default concentrations are 54.5 milligrams per liter for total suspended solids (TSS) and 0.3 milligrams per liter for total phosphorus (particulate plus dissolved). The calculator will notify the user if the default is changed. Changing the default EMC will result in changes to the total pounds of pollutant reduced.
Routing Overflow from a swale main channel with an underdrain can be routed to any other BMP, except for a green roof and a swale side slope or any BMP in a stormwater treatment sequence that would cause stormwater to be rerouted back to the swale main channel already in the treatment sequence. All BMPs can be routed to the swale main channel Assumptions for swale main channel The following general assumption applies in calculating the credit for a swale main channel with an underdrain. If this assumption is not followed the volume and pollutant reduction credits cannot be applied. The swale main channel has been properly designed, constructed and will be properly maintained according to specifications for filtration systems. \([ET〗_pot=((D_M-D_U )*(L_C*W_B)*(FC-WP))\)
where DM is the total media depth in feet, DU is the depth under the underdrain in feet, LC is the channel length, WB is the channel width, and (FC – WP) is the difference between field capacity and wilting point.
\(〖ET〗_mea=L_C*W_B*0.2 in/day*0.5*3 days/12 in/ft \)
Measured ET and potential ET are compared and the volume lost to ET is the smaller of the two values.
Elevated Underdrain: If the underdrain is elevated above the bottom of the BMP, then the volume reduction credit is determined based on the storage capacity in the media between the underdrain and the native soils and evapotranspiration in the planting media above the underdrain (VET).
The volume captured below the underdrain equals the following \(V= L_C*W_B*n*D_U\)
Where LC is the channel length (ft); WB is the channel width (ft); (n-FC) is the media porosity minus the field capacity; and DU is the depth below the underdrain (ft).
The stored water must drain within the specified drawdown time. The underlying soil controls the infiltration rate. The user must input the soil with the most restrictive hydraulic conductivity in the 3 feet directly below the basin (i.e. below the bottom of the engineered media).
In addition to the credit given for the storage capacity below the underdrain, a swale main channel system with an elevated underdrain also receives volume reduction credit for evapotranspiration. Credit is given following the same methods described when the underdrain is located at the bottom of the BMP (see discussion above).
The “Volume of retention provided by BMP” is the amount of volume credit the BMP provides toward the performance goal. This value is equal to the “Volume reduction capacity of BMP [V]”, calculated using the above method, as long as the volume reduction capacity is less than or equal to the “Required treatment volume.” If “Volume reduction capacity of BMP [V]” is greater than “Required treatment volume”, then the BMP volume credit is equal to “Required treatment volume.” This check makes sure the BMP is not getting more credit than the amount of water it receives. For example, if the BMP is oversized the user will only receive credit for “Required treatment volume” routed to the BMP.
Pollutant load reductions are calculated on an annual basis. Therefore, the first step in calculating annual pollutant load reductions is converting “Volume reduction capacity of BMP,” which is an instantaneous volume reduction, to an annual volume reduction percentage. This is accomplished through the use of performance curves (add link to addendum) developed from multiple modeling scenarios. The performance curves use “Volume reduction capacity of BMP [V]”, the infiltration rate of the underlying soils, the contributing watershed percent impervious area, and the size of the contributing watershed to calculate a percent annual volume reduction. While oversizing a BMP above “Required treatment volume” will not provide additional credit towards the performance goal volume, it may provide additional pollutant reduction.
A 100 percent removal is credited for all pollutants associated with the reduced volume of stormwater. Stormwater captured by the swale system but not infiltrated or consumed through ET is assumed to flow through the filter media and out the underdrain. A constant 68 percent removal rate is applied to the filtered stormwater for TSS reduction. The removal rates of the filtered stormwater for annual particulate phosphorus and dissolved phosphorus depend on the answers given to the three user inputs: “Planting media mix”, “Is the P content of the media less than 30 mg/kg?” and “Is a soil amendment used to attenuate phosphorus?”
Particulate Phosphorus: The particulate phosphorus credit given is either 0 percent or 45 percent depending on the media mix used and the P content of the media.
Dissolved Phosphorus: The dissolved phosphorus credit given is between 0 percent and 60 percent depending on the media mix, the media P content, and if the media was amended to attenuate phosphorus.
\(credit=20%*((D_M- D_U))/(2 ft)\)
where (DM - DU) represents the media depth above the underdrain. The credit is calculated as a percent reduction with a maximum value of 20 percent for media depths above the underdrain greater than 2 feet. If the media depth above the underdrain is less than 2 feet the credit is reduced equivalently.
The removal rates of the filtered stormwater for annual particulate phosphorus and dissolved phosphorus is summarized in the following table.
NOTE: The user can modify event mean concentrations (EMCs) on the Site Information tab in the calculator. Default concentrations are 54.5 milligrams per liter for total suspended solids (TSS) and 0.3 milligrams per liter for total phosphorus (particulate plus dissolved). The calculator will notify the user if the default is changed. Changing the default EMC will result in changes to the total pounds of pollutant reduced.
Overflow from a swale main channel with an underdrain can be routed to any other BMP, except for a green roof and a swale side slope or any BMP in a stormwater treatment sequence that would cause stormwater to be rerouted back to the swale main channel already in the treatment sequence. All BMPs can be routed to the swale main channel
The following general assumption applies in calculating the credit for a swale main channel with an underdrain. If this assumption is not followed the volume and pollutant reduction credits cannot be applied.