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|  | ==Size a bioretention cell for constrained depth== |  | ==Size a bioretention cell for constrained depth== | 
|  | If there is a constraint to the depth (''d<sub>T</sub>'', m) of the practice, calculate the required footprint area (''A<sub>p</sub>'', m<sup>2</sup>), as: |  | If there is a constraint to the depth (''d<sub>T</sub>'', m) of the practice, calculate the required footprint area (''A<sub>p</sub>'', m<sup>2</sup>), as: | 
| − | <math>A_{p}=\frac{A_c\times i\times D}{(V_{R}\times d_{T})+(f'\times D)}</math> | + | <math>A_{p}=\frac{A_c\times i\times D}{(n\times d_{T})+(f'\times D)}</math> | 
|  | {{Plainlist|1=Where: |  | {{Plainlist|1=Where: | 
|  | *''A<sub>p</sub>'' = Area of the infiltration practice in m<sup>2</sup> |  | *''A<sub>p</sub>'' = Area of the infiltration practice in m<sup>2</sup> | 
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|  | *''i'' = Intensity of design storm in mm/hr |  | *''i'' = Intensity of design storm in mm/hr | 
|  | *''f''' = [[design infiltration rate]] in mm/hr |  | *''f''' = [[design infiltration rate]] in mm/hr | 
| − | *''V<sub>R</sub>'' = Meanvoid ratio of the fill within the practice | + | *''n'' = Mean porosity of the fill within the practice | 
|  | *''d<sub>T</sub>'' = Total depth of the infiltration practice in m.}} |  | *''d<sub>T</sub>'' = Total depth of the infiltration practice in m.}} | 
|  |  |  |  | 
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|  |  |  |  | 
|  | Then calculate the required depth (''d<sub>T</sub>''), as: |  | Then calculate the required depth (''d<sub>T</sub>''), as: | 
| − | <math>d_{T}=\frac{D \left[ (R\times i)-f'\right]}{V_{R}}</math> | + | <math>d_{T}=\frac{D \left[ (R\times i)-f'\right]}{n}</math> | 
|  |  |  |  | 
|  | {{Plainlist|1=Where: |  | {{Plainlist|1=Where: | 
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|  | *''i'' = Intensity of design storm in mm/hr |  | *''i'' = Intensity of design storm in mm/hr | 
|  | *''f''' = Design infiltration rate in mm/hr   |  | *''f''' = Design infiltration rate in mm/hr   | 
| − | *''V<sub>R</sub>'' =Void ratio  | + | *''n'' = Porosity  | 
|  | *''d<sub>T</sub>'' = Depth of infiltration practice in m.}} |  | *''d<sub>T</sub>'' = Depth of infiltration practice in m.}} | 
|  | The following equations assume that infiltration occurs primarily through the base of the facility.   |  | The following equations assume that infiltration occurs primarily through the base of the facility.   | 
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|  | *Begin the drainage time calculation by dividing the area of the practice (''A<sub>p</sub>'') by the perimeter (''P''). |  | *Begin the drainage time calculation by dividing the area of the practice (''A<sub>p</sub>'') by the perimeter (''P''). | 
|  | *Use the following equation to estimate the time (''t'') to fully drain the facility:   |  | *Use the following equation to estimate the time (''t'') to fully drain the facility:   | 
| − | :<math>t=\frac{V_{R}A_{p}}{f'P}ln\left [ \frac{\left (d_{T}+ \frac{A_{p}}{P} \right )}{\left(\frac{A_{p}}{P}\right)}\right]</math> | + | :<math>t=\frac{nA_{p}}{f'P}ln\left [ \frac{\left (d_{T}+ \frac{A_{p}}{P} \right )}{\left(\frac{A_{p}}{P}\right)}\right]</math> | 
|  | {{Plainlist|1=Where: |  | {{Plainlist|1=Where: | 
| − | *''V<sub>R</sub>'' is thevoid ratio of the media, | + | *''n'' is the porosity of the media,   | 
|  | *''A<sub>p</sub>'' is the area of the practice (m<sup>2</sup>), |  | *''A<sub>p</sub>'' is the area of the practice (m<sup>2</sup>), | 
|  | *''f''' is the design infiltration rate (mm/hr),   |  | *''f''' is the design infiltration rate (mm/hr),   |