For a swale main channel BMP (no underdrain), stormwater can be retained through three separate methods. Stormwater can infiltrate into the soils as it travels through the main channel to the outflow, stormwater can pond behind a check dam and infiltrate into the underlying soils, or stormwater can be stored in the pore spaces of an engineered bioretention base and infiltrate into the underlying soils. If stormwater runoff to the main channel flows over a side slope through sheet flow, then a swale side slope BMP should be used in combination with the swale main channel BMP in the MIDS calculator. All pollutants in the infiltrated water are credited as being reduced. A portion of pollutants in the stormwater that flows through the channel outflow is removed through filtration and sediment removal.
For swale main channel systems, the user must input the following parameters to calculate the volume and pollutant load reductions associated with the BMP.
If the following requirements for inputs into the MIDS calculator are not met, then an error message will inform the user to change the input to meet the requirement.
\(DDT_{calc} = D_{CD}/(I_R/ 12)\)
Where
If the DDTcalc is greater than the user-specified required drawdown time then the user will be prompted to enter a new check dam depth 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 plus any water routed to the BMP from an upstream BMP. This stormwater is delivered to the BMP instantaneously.
The swale main channel BMP without an underdrain can achieve volume reduction capacity through three mechanisms. The first is from infiltration as the stormwater travels along the main channel (VMC). The second is from infiltration of stormwater that is stored behind an impermeable check dam (if installed) (VCD). The third is from infiltration of stormwater that is stored in the media of the bioretention base (if installed) (VBB).
The total instantaneous Volume reduction capacity of BMP [V] due to these three mechanisms is calculated using BMP design inputs provided by the user. This Volume reduction capacity of BMP [V] is then compared to the Required treatment volume in order to determine the Volume of retention provided by BMP, which is the instantaneous volume credit that can be claimed for that BMP.
With no real storage capacity unless impermeable check dams are present, the main method of stormwater volume reduction in a swale with no underdrain is via infiltration as the stormwater travels through the main channel. The instantaneous infiltration capacity of the swale main channel bottom (VMC) is estimated based on analysis of long-term modeling results as described in the following paragraphs.
To determine the average annual volume reduction credit given for a swale main channel, the P8 water quality model was used. Fifty-five (55) years of hourly rainfall data were modeled for swale main channels with various configurations of channel length, swale bottom width, channel slope, soil infiltration rate, and Manning’s n parameters. The model results provided annual average volume reduction rates. Multivariate regression was used to assess model results to determine the relationships between swale modeling parameters and annual volume reductions. The observed relationships are paired with the user-provided inputs to calculate an annual percent stormwater volume reduction for the swale main channel in the calculator.
To obtain the instantaneous volume reduction capacity of the channel bottom (VMC), the annual volume reductions are converted to a volume reduction capacity. This is accomplished through the use of performance curves developed from a range of modeling scenarios. The performance curves use the annual volume reduction percentage, the infiltration rate of the underlying soils, the contributing watershed percent impervious area, and the size of the contributing watershed to calculate the volume reduction capacity achieved through infiltration along the swale main channel (VMC).
In addition to the volume reduction provided as stormwater travels through the main channel, the storage capacity of the swale main channel can be increased through the addition of check dams. If the check dams are impermeable, they provide areas of ponded water in the swale main channel that will infiltrate into the soils. The Volume reduction capacity of BMP [V] gained through the addition of check dams in the system is equal to the storage volume provided behind a check dam multiplied by the number of check dams installed. The storage volume behind a check dam (VCD) is given by
\(V_{CD}= D_{CD}^2/S * (1/2 W_B + 1/6 (W_T -W_B )) \)
Where
The volume reduction capacity of the check dams (VCD) is added to the volume reduction capacity achieved through infiltration along the swale main channel (VMC).
The third method of volume reduction provided in a swale main channel BMP is through the addition of a bioretention base. This is a layer of engineered soils above the native soils capable of storing water and allowing it to infiltrate into the underlying native soils. The Volume reduction capacity associated with this BMP component is equal to the amount of water that can be instantaneously captured by the BMP in the media. The captured volume (VBB) is given by
\(V_{BB} = D_M * W_B * L_C * (n - FC)\)
Where
If a bioretention base is selected, then the credit given for the infiltration into the soils of the main channel (VMC) is removed since all stormwater that would have infiltrated into the soils as it travels through the main channel is now instead collected in the pore space of the media. If check dams are installed the total stormwater volume reduction capacity of the swale main channel would be equal to the volume reduction provided by the bioretention base (VBB) plus the storage capacity of the check dams (VCD).
The MIDS calculator compares the Volume reduction capacity of BMP [V] with the Required treatment volume, and the lesser of the two values is used to populate the Volume of retention provided by BMP. This comparison between potential and actual treatment volumes ensures that the BMP does not claim more credit than is due based on the actual amount of water routed to it. The Volume of retention provided by BMP is the actual volume credit the BMP receives toward the instantaneous performance goal. For example, if the BMP is oversized the user will only receive volume credit for the Required treatment volume routed to the BMP.
Annual volume retention is assessed by converting the instantaneous Volume reduction capacity of BMP [V] to an annual volume reduction percentage. This is accomplished through the use of performance curves developed from a range of modeling scenarios. These performance curves use the Volume reduction capacity of BMP [V], the infiltration rate of the underlying soils, the percent imperviousness of the contributing watershed area, and the size of the contributing watershed to calculate the Percent annual runoff volume retained and annual Retention volume provided by BMP.
Pollutant removal can be accomplished both via volume reducing and non-volume reducing processes in this BMP. Pollutant load reductions are calculated on an annual basis and are thus dependent upon the volume of water retained by the BMP through infiltration and the volume of water treated by filtration and sediment removal in the BMP.
The previously discussed annual volume reduction percentages are used to determine the annual pollutant load reductions achieved by the BMP. All pollutants in the infiltrated water are considered captured for a 100 percent removal. While oversizing a BMP above the Required treatment volume will not provide additional credit towards the performance goal volume, it may provide additional pollutant reduction.
For water routed to the main channel that does not infiltrate, pollutant removal occurs through filtration and sediment removal. Removal rates for this water are 68 percent for total suspended solids (TSS), 73 percent for particulate phosphorus, and 0 percent for dissolved phosphorus.
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 can be routed to any other BMP, except for a green roof, 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 that 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. If this assumption is not followed, the stormwater volume and pollutant reduction credits cannot be applied.
The runoff from a 1.4 acre parking lot surrounded by 0.359 acres of pervious turf area flows through sheet flow over one of the side slopes of a swale and into a swale main channel. The soils across the area have a unified soils classification classification of SW (HSG type A soil). A second side slope associated with the main channel does not receive runoff from impervious surfaces. Each of the swale side slopes are 800 feet long by 10 feet wide with a side slope of 5H:1V. The main channel of the swale is 800 feet long by 4 feet wide with a 2 percent slope. The swale main channel does not have an underdrain, bioretention base or check dams. The maintenance on the swale calls for mowing once a year. The following steps detail how this system would be set up in the MIDS calculator.
Step 1: Determine the watershed characteristics of your entire site. For this example we have a 2.2 acre site with 1.4 acres of impervious area (parking lot) and 0.8 acres of pervious area in type A soils. The pervious area includes the turf area and the area of the swale side slopes and main channel.
Step 2: Fill in the site specific information into the Site Information tab. This includes entering a ZIP Code (55414 for this example) and the watershed information from Step 1. The Managed Turf area includes the turf area, the area of the side slopes and the area of the main channel. ZIP code and impervious area must be filled in or an error message will be generated. Other fields on this screen are optional.
Step 3: Go to the Schematic tab and drag and drop a Swale Side Slope and a Swale Main Channel icon into the Schematic Window.
Step 4: Determine the watershed characteristics for each of the BMP components. For this example the swale side slope watershed includes 1.4 acres of impervious area and 0.543 acre of pervious area (0.359 acre of turf area plus 0.184 acre of swale side slope). The watershed of the swale main channel includes the pervious area of the main channel (0.073 acre) and the pervious area of the other swale side slope (0.184 acre) for a total pervious area of 0.257 acre. Since no impervious area is being routed to the second swale side slope, the area can be included in the direct watershed area of the main channel. However, the second swale side slope could be placed in the calculator as an additional BMP. Including it as a separate BMP provides a slightly greater annual volume reduction and more closely represents the true system.
Step 5: Open the BMP properties for the swale side slope by right clicking on the Swale Side Slope icon and selecting Edit BMP Properties, or by double clicking on the Swale Side Slope icon.
Step 6: If help is needed, click on the Minnesota Stormwater Manual Wiki link or the Help button to review input parameter specifications and calculations specific to the Swale Side Slope BMP.
Step 7: Fill in the specific BMP watershed information (1.4 acres of impervious and 0.543 acre of Managed Turf on A Soils). Route the side slope BMP to the main channel BMP.
Step 8: Enter in the BMP design parameters into the BMP parameters tab. This Swale Side Slope example would require the following entries:
Step 9: Click on BMP Summary tab to view results for this BMP.
Step 10: Click on the OK button to exit the BMP properties screen. An arrow will appear showing that the swale side slope has been routed to the swale main channel.
Step 11: Open the BMP properties window for the swale main channel by right clicking on the Swale main channel icon and selecting Edit BMP properties, or by double clicking on the “Swale main channel” icon.
Step 12: If help is needed, click on the Minnesota Stormwater Manual Wiki link or the Help button to review input parameter specifications and calculation specific to the Swale main channel BMP.
Step 13: Enter in the watershed information for the swale main channel in the Watershed tab (0.257 acre for Pervious Turf on A Soil, which includes the area of the main channel and the other side slope).
Step 14: Enter the BMP design parameters into the BMP Parameters tab. This Swale main channel example would require the following entries:
Step 15: Click on BMP Summary tab to view results for this BMP.
Step 16: Click on the OK button to exit the BMP Properties screen.
Step 17: Click on Results tab to see overall results for the site.