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Requirements, recommendations and information for using swale with an underdrain as a BMP in the MIDS calculator

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[[File:Symbol for swale with underdrain.png|300px|thumb|alt=Schematic of Symbol for swale with underdrain.png|<font size=3>Schematic of symbol for Swale Main Channel (with underdrain) used in the MIDS calculator.</font size>]]

[[File:Watershed tab swale with underdrain.png|300px|thumb|alt=Schematic of Watershed tab swale with underdrain|<font size=3>Schematic of Watershed tab for Swale Main Channel (with underdrain). The user must input a value for impervious area or the BMP will not provide volume and pollutant reduction. Other fields are optional.</font size>]]

[[File:Swale with underdrain BMP parameters tab.png|300px|thumb|alt=Schematic of Swale with underdrain BMP parameters tab|<font size=3>Schematic of BMP parameters tab for Swale Main Channel (with underdrain). The user must enter values for all blank cells.</font size>]]

A swale main channel with an underdrain behaves similarly to a [[Bioretention|bioretention]] BMP with an [[Glossary#U|underdrain]]. Volume retention is achieved through [[Glossary#I|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 [[Glossary#E|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 the infiltrated water are credited as being reduced. A portion of pollutants in the stormwater that flows through an underdrain are removed through [[Glossary#F|filtration]].

==MIDS calculator user inputs for swale main channel (with 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.
*'''Watershed tab'''
**'''BMP Name:''' this cell is auto-filled but can be changed by the user.
**'''Routing/downstream BMP:''' if this BMP is part of a [[Using the treatment train approach to BMP selection|treatment train]] and water is being routed from this BMP to another BMP, the user selects the name of the BMP from the dropdown box to which water is being routed. All water must be routed to a single downstream BMP. Note that the user must include the BMP receiving the routed water in the Schematic tab or the BMP will not appear in the dropdown box.
**'''BMP Watershed Area:''' BMP watershed areas are the areas draining directly to the BMP. Values can be added for four soil types ([[Glossary#H|Hydrologic Soil Groups]] (HSG) A, B, C, D) and for three Land Cover types (Forest/Open Space, Managed Turf and Impervious).  The surface area of the BMP should be included as managed turf land cover of the hydrologic soil type of the native soils that are located under the BMP. Units are in acres.
**If a swale side slope is routed to this BMP, do not include the side slope watershed areas in the Watershed tab for the swale main channel since this would effectively double-count the side slope contributing area.

*'''BMP Parameters tab'''
**'''Is the underdrain elevated above native soils?:''' This is a YES/NO question.  Answering YES means that the underdrain is elevated within the media such that storage capacity exists between the level of the underdrain and that of the native soils.  Answering NO means that the underdrain is not elevated within the media and is directly above the native soils, with no associated storage capacity.
**'''Channel length (L<sub>C</sub>):''' This is the length of the swale channel from the furthest upstream point to the furthest downstream point.  Units are in feet. 
**'''Swale bottom width (W<sub>B</sub>):''' This is the average bottom width of the swale main channel. Units are in feet. Based on design restrictions, the bottom width cannot be less than 2 feet.
**'''Channel slope (S):''' This is the slope of the channel.   Units are in percent.  The slope is calculated by taking the difference between vertical elevations at the upstream and downstream points of the swale and dividing by the horizontal distance between the two locations. The slope therefore represents an average slope over the length of the swale. If the slope varies over the length of a swale, the user should enter the average slope over the entire length rather than break the swale into separate smaller lengths. Based on design restrictions, the channel slope cannot be less than 0.5 percent or greater than 4 percent.
**'''Total media depth (D<sub>M</sub>):''' This the total depth of the bioretention base from the surface of the engineered media to that of the native soils.  Units are in feet.
**'''Depth below underdrain (D<sub>U</sub>):''' This is the depth of the bioretention base from the elevation of the underdrain invert to that of the native soils.  If the input to “Is the underdrain elevated above native soils” is set to NO, then this value will default to 0 and will become inactive.  Units are in feet.
**'''Media field capacity minus wilting point (FC-WP):''' This is the amount of water between [[Glossary#F|field capacity]] and the permanent [[Glossary#W|wilting point]] stored in the media above the underdrain. This is water often considered to be available for uptake by plants. If multiple types of media are used in the BMP, this value should be a weighted average of [[Soil water storage properties|the soil water storage values of the media ]] installed between the underdrain and the native soils. The user inputs this value in cubic feet of water per cubic feet of media. The recommended range for this value is 0.05 to 0.17.
**'''Media porosity minus field capacity (n - FC)''' - This is the amount of water between [[Glossary#P|media porosity]] and [[Glossary#F|field capacity]] stored between the underdrain invert and the bottom of the media (top of native soil). If multiple types of media are used in the BMP, this value should be a weighted average of [[Soil water storage properties|the soil water storage values of the media ]] installed between the underdrain and the native soils. The user inputs this value in cubic feet of pore space per cubic feet of media. The recommended range for this value is 0.15 to 0.35.
**'''Planting media mix:''' The user selects the type of [[Design criteria for bioretention#Materials specifications - filter media|media mix]] installed for planting from a predefined list of Media mixes: Media mix A (water quality blend), Media mix B (enhanced filtration blend), Media mix C (North Carolina State University water quality blend), Media mix D, or Other. This value is used to determine the annual phosphorus load reduction credit.
**'''Is the P content of the media less than 30 mg/kg?:''' This is a YES/NO question.  The P content of the planting media should be tested using the [[Design criteria for bioretention#Notes about soil phosphorus testing: applicability and interpretation|Mehlich 3 test]] or an acceptable alternative method. Select YES if the P content of the planting media is less than 30 milligrams per kilogram and NO if it is greater.  P content testing is not needed for planting media C or D; therefore, this item will automatically populate to YES if one of those two media types are selected. This value is used to determine the annual phosphorus load reduction credit.
**'''Is a soil amendment used to attenuate phosphorus?:''' This is a YES/NO question.  Answer YES if the bioretention filter media contains soil amendments to enhance phosphorus sorption and NO if amendments are not used. This value is used to determine the annual phosphorus load reduction credit.
**'''Underlying soil - Hydrologic Soil Group:''' The user selects the most restrictive soil (lowest hydraulic conductivity) occurring within the 3 feet below the media/native soil interface of the swale main channel. There are 14 soil options that fall into 4 different Hydrologic Soil Groups (Hydrologic Soil Group (HSG) A, B, C, or D) for the user.  Once a soil type is selected, the corresponding [[Design infiltration rates|infiltration rate]] will populate the “Infiltration rate of underlying soils” field. The user may also select “User Defined.”  This selection will activate the “User Defined Infiltration Rate” cell, allowing the user to enter a different value from the values in the predefined selection list. The maximum allowable infiltration rate is 1.63 inches per hour. 
**'''Required drawdown time:''' This is the time in which the stormwater captured by the BMP must drain into the underlying soil. The user may select from predefined values of 48 or 24 hours. The MPCA [http://www.pca.state.mn.us/index.php/water/water-types-and-programs/stormwater/construction-stormwater/index.html Construction Stormwater General Permit] requires drawdown within 48 hours, but 24 hours is <i>Highly Recommended</i> when discharges are to a trout stream. The calculator uses the underlying soil infiltration rate and the “Depth below underdrain” to check if the BMP meets the drawdown time requirement. The user will encounter an error and be required to enter a new “Depth below underdrain” if the water stored in the BMP cannot drawdown in the required time.
*'''BMP Summary Tab:''' The BMP Summary tab summarizes the volume and pollutant reductions provided by the specific BMP. It details the performance goal volume reductions and annual average volume, dissolved P, particulate P, and TSS load reductions. Included in the summary are the total volume and pollutant loads received by the BMP from its direct watershed, from upstream BMPs, and a combined value of the two. Also included in the summary are the volume and pollutant load reductions provided by the BMP, along with the volume and pollutant loads that exit the BMP through the outflow. This outflow load and volume is what is routed to the downstream BMP, if one is defined in the Watershed tab. Finally, percent reductions are provided for the percent of the performance goal achieved, percent annual runoff volume retained, total percent annual particulate phosphorus reduction, total percent annual dissolved phosphorus reduction, total percent annual TP reduction, and total percent annual TSS reduction.

==Model input requirements and recommendations==
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.
*Swale bottom width cannot be less than 2 feet
*Channel slope cannot be greater than 4 percent or less than 0.5 percent
*Infiltration rates of the underlying soils cannot exceed 1.63 inches per hour
*The water below the underdrain must meet the user-defined drawdown time requirement. The drawdown time requirement is checked by comparing the user-defined drawdown time with the calculated drawdown time (DDT<sub>calc</sub>), given by

<math>DDT_{calc} = D_U / (I_R / 12)</math>

Where
:D<sub>U</sub> is the depth below the underdrain (ft); and
:I<sub>R</sub> is the infiltration rate of the native soils (inches/hr).

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==

===Required Treatment Volume===
''Required treatment volume'', or the volume of stormwater runoff delivered to the BMP, is calculated as 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 [http://www.stormh2o.com/SW/Articles/Kerplunk_15253.aspx 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 location of the underdrain determines how the volume reduction capacity is calculated.

'''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 (V<sub>inf_b</sub>) and evapotranspiration in the planting media above the underdrain (V<sub>ET</sub>).

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 reduction from basin bottom infiltration (V<sub>inf_b</sub>)'' of the BMP equals the following

<math>V_{Inf_B} = I_R * DDT * W_B * L_C/(12in/ft)</math>

Where

:I<sub>R</sub> is an infiltration rate into the native soils of 0.06 inches per hour;
:W<sub>B</sub> is the width of the main channel (ft);
:L<sub>C</sub> is the channel length (ft); and
:DDT is the drawdown time (hr).

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 that 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 (V<sub>ET</sub>). The ''Volume reduction of BMP from ET (V<sub>ET</sub>)'' is the smaller of two calculated values, potential ET (ET<sub>pot</sub>) and measured ET (ET<sub>mea</sub>).

*ET<sub>pot</sub> is equal to the amount of water stored between field capacity and the wilting point  in the media above the underdrain, and is given by

<math>ET_{pot} = (D_M - D_U ) * L_C * W_B * (FC - WP)</math>

Where

:D<sub>M</sub> is the total media depth (ft);
:D<sub>U</sub> is the depth under the underdrain (ft);
:L<sub>C</sub> is the channel length (ft);
:W<sub>B</sub> is the channel width (ft); and
:(FC – WP) is the difference between field capacity and wilting point.

*ET<sub>mea</sub> is the amount of water lost to ET as measured using available data. An average daily pan evaporation rate was estimated using previous measurements collected at the University of Minnesota Southwest Experiment Station at Lamberton, Minnesota (Source:  [http://conservancy.umn.edu/handle/109293 Climate of Minnesota Part XII- The Hydrologic Cycle and Soil Water], 1979). A rate of 0.2 inches per day was selected, as this is an intermediate value between the summertime maximum rate and the lowest rates in October. Analysis of rainfall data indicates that a typical time period between precipitation events is 72 hours (3 days) in Minnesota. Therefore, a 3 day period is used to calculate the ET<sub>mea</sub>. A factor of 0.5 is also applied to convert the pan evaporation rate to ET<sub>mea</sub>. The ET<sub>mea</sub> volume thus equals the media surface area (L<sub>C</sub> * W<sub>B</sub>) in square feet times the average daily ET rate in inches per day times 3 days. 

<math>ET_{mea} = L_C * W_B * 0.2 in/day * 0.5 *3 days / (12 in/ft) </math>

ET<sub>mea</sub> and ET<sub>pot</sub> are compared and the estimated ''Volume reduction of BMP from ET (V<sub>ET</sub>)'' 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 (V<sub>ET</sub>).

The ''Volume reduction stored below the underdrain'' is given by

<math>V = L_C * W_B * (n-FC) * D_U</math>

Where

:L<sub>C</sub> is the channel length (ft);
:W<sub>B</sub> is the channel width (ft);
:(n-FC) is the media porosity minus the field capacity; and 
:D<sub>U</sub> 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===
[[File:Schematic of pollutant removal mechanism swale with underdrain.jpg|300px|thumb|alt=Schematic of pollutant removal mechanism swale with underdrain|<font size=3>Schematic of pollutant removal mechanisms for a swale with an underdrain</font size>]]

Pollutant load reductions are calculated on an annual basis.  Therefore, the first step in calculating annual pollutant load reductions is converting the “Volume reduction capacity of BMP,” which is an instantaneous volume reduction, to an annual volume reduction percentage. This is accomplished through the use of [http://stormwater.pca.state.mn.us/index.php?title=Performance_curves_for_MIDS_calculator&action=edit&redlink=1 performance curves] developed from multiple modeling scenarios. The performance curves use the ''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 the ''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 that is captured by the swale system but that is not infiltrated or lost through ET is assumed to flow through the filter media and out the underdrain.  A constant 68 percent TSS removal rate is applied to the filtered stormwater.  The removal rates for particulate phosphorus and dissolved phosphorus in the filtered stormwater 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 its P content.

*If [http://stormwater.pca.state.mn.us/index.php/Construction_specifications_for_bioretention#Materials_specifications_-_filter_media 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 [http://soiltesting.tamu.edu/files/mehlich3.pdf Mehlich 3 test]  or a suitable alternative test is 30 milligrams per kilogram or less [[Design_criteria_for_bioretention#Notes_about_soil_phosphorus_testing:_applicability_and_interpretation|(note: if the Olsen test is used, a simple conversion may be required)]], 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 [http://soiltesting.tamu.edu/files/mehlich3.pdf Mehlich 3 test] or a suitable alternative test is greater than 30 milligrams per kilogram [[Design_criteria_for_bioretention#Notes_about_soil_phosphorus_testing:_applicability_and_interpretation|(note: if the Olsen test is used, a simple conversion may be required)]], 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 by the [http://soiltesting.tamu.edu/files/mehlich3.pdf Mehlich 3 test]  or a suitable alternative test is 30 milligrams per kilogram or less [[Design_criteria_for_bioretention#Notes_about_soil_phosphorus_testing:_applicability_and_interpretation|(note: if the Olsen test is used, a simple conversion may be required)]], then the annual dissolved phosphorus credit applied to the filtered water volume, expressed as a percent, is given by

<math>credit = 20 * ((D_M - D_U)) / (2 ft)</math>

where (D<sub>M</sub> - D<sub>U</sub>) 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  [http://soiltesting.tamu.edu/files/mehlich3.pdf Mehlich 3 test]  or a suitable alternative test is greater than 30 milligrams per kilogram [[Design_criteria_for_bioretention#Notes_about_soil_phosphorus_testing:_applicability_and_interpretation|(note: if the Olsen test is used,a simple conversion may be required)]], 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 [http://stormwater.pca.state.mn.us/index.php/Soil_amendments_to_enhance_phosphorus_sorption 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); 
*For other proposed phosphorus-sorbing amendments: an additional annual dissolved phosphorus credit can be applied if and only if there is <u>supporting third party research</u> showing that this dissolved phosphorus reduction will occur for at least a 20-year lifespan.  The credit may be commensurate with existing research results, with the understanding that the user may be asked to provide this documentation.

Annual removal rates of particulate phosphorus and dissolved phosphorus in filtered stormwater are summarized in the following [http://stormwater.pca.state.mn.us/index.php/Phosphorus_credits_for_bioretention_systems_with_an_underdrain 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 with an underdrain==
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 [http://stormwater.pca.state.mn.us/index.php/Design_criteria_for_filtration designed], [http://stormwater.pca.state.mn.us/index.php/Construction_specifications_for_filtration constructed] and will be properly [http://stormwater.pca.state.mn.us/index.php/Operation_and_maintenance_of_filtration maintained] according to specifications for filtration systems.

==Requirements==
[[File:Illustration of depth to bedrock or wt.jpg|thumb|300px|alt=image illustrating separation distance to bedrock or seasonal high water table|<font size=2>Measurement of depth from the bottom of the infiltration BMP to the seasonally high water table or bedrock. Note that there must be a minimum of 2 feet separation when soils beneath the BMP are ripped, with a total separation distance of 3 feet or more. Infiltration BMPs include any BMP that allows water to infiltrate into the underlying soil.</font size>]]

{{alert|The following are requirements of the [http://www.pca.state.mn.us/index.php/water/water-types-and-programs/stormwater/construction-stormwater/index.html Minnesota Construction Stormwater General Permit]|alert-danger}}
*3 foot separation from the bottom of an infiltration system to the seasonal high water table
*Use the most restrictive infiltration rate within 3 feet of the bottom of the BMP
*For measured infiltration rates, apply a safety factor of 2
*Pretreatment for infiltration systems

==Recommendations==
{{alert|The following are recommendations for inputs into the MIDS calculator|alert-warning}}
*Drawdown time of 24 hours when the discharge is to trout streams
*Field tested infiltration rates rather than table values

==Information==
{{alert|The following information may be useful in determining inputs for the MIDS calculator|alert-info}}
*Guidance on determining [[Design criteria for bioretention#Determine site infiltration rates (for facilities with infiltration and/or recharge)|infiltration rates]]
*Information on [[Stormwater infiltration and constraints on infiltration|site constraints]] (shallow soil, karst, etc.)
*Guidance on [[Pre-treatment|pretreatment]]
*Information on [[Design criteria for bioretention#Materials specifications - filter media|soil mixes]]
*[[Construction specifications for filtration|Construction specifications for filtration BMPs]]
*Information on [[Operation and maintenance of filtration|operation and maintenance of filtration BMPs]].

==Links to MIDS pages==
*[[Overview of Minimal Impact Design Standards (MIDS)]]
*[[Performance goals for new development, re-development and linear projects]]
*[[Design Sequence Flowchart-Flexible treatment options]]
*[[Community Assistance Package]]
*[[MIDS calculator]]
*[[Performance curves for MIDS calculator]]
*[[Training and workshop materials and modules]]
*[[Technical documents]]

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