Difference between revisions of "Bioretention: Sizing"

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*''V<sub>R</sub>'' is the void ratio of the media,  
 
*''V<sub>R</sub>'' is the void ratio 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), and
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*''f''' is the design infiltration rate (mm/hr),
*''d'' is the total depth of the practice, including the ponding zone.}}
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*''P'' is the perimeter of the practice (m), and
 +
*''d'' is the total depth of the practice, including the ponding zone (m).}}
  
 
==Groundwater mounding==
 
==Groundwater mounding==

Revision as of 21:01, 20 February 2018

This article is specific to bioretention, vegetated systems that infiltrate water to the native soil.
If you are designing a planted system which does not infiltrate water, see advice on Planters: Sizing.

The vertical storage zones in a bioretention cell include: ponding, mulch, filter media, choker course, pipe diameter reservoir and the storage reservoir.

Many of the dimensions in a bioretention system can be predetermined according to the function of the component. There is greatest flexibility in the ponding depth and the depth of the storage reservoir beneath the optional underdrain pipe. The order of operations in calculating these dimensions depends on whether an underdrain is desired.

Component Recommended depth (with underdrain pipe) Recommended depth (no underdrain pipe) Typical void ratio (VR)
Ponding depth 300 mm See below 1
Mulch 75 ± 25 mm
  • 0.7 for wood based
  • 0.4 for aggregates
Bioretention media
  • 300 mm to support turf grass (and accept only rainwater/roof runoff)
  • 600 mm to support flowering perennials and decorative grasses
  • 1000 mm to support trees
0.3
Choker course 100 mm 0.4 typical
Pipe diameter reservoir Is equal to underdrain pipe diameter Not applicable 0.4
Storage reservoir See below See below 0.4


Calculate the maximum overall depth[edit]

  • Step 1: Determine what the planting needs are and assign appropriate depth of media, using the table above.
  • Step 2: Select an underdrain pipe diameter (typically 100 - 200 mm), assign this as an 'embedding' depth.
  • Step 3: Calculate the maximum possible storage reservoir depth beneath the pipe (ds):

Where:

  • f' = Design infiltration rate in mm/hr, and
  • 38.4 comes from multiplying desired drainage time of 96 hours by void ratio of 0.4

Additional step for system without underdrain[edit]

  • Step 4: Determine maximum permissible ponding depth (dp):

Where:

  • f' = Design infiltration rate in mm/hr, and
  • 19.2 comes from multiplying desired drainage time of 48 hours by void ratio of 0.4. Note that conceptually the drainage of the ponded area is limited by ex-filtration at the base of the practice.
  • Step 5: Sum total depth of bioretention, and compare to available space above water table and bedrock. Adjust if necessary.

Calculate the remaining dimensions[edit]

  • Step 6: Multiply the depth of each separate component by the void ratio and then sum the total to find the 1 dimensional storage (in mm).
  • Step 7: Calculate the required total storage (m3):

Where:

  • RVCT is the Runoff volume control target (mm),
  • Ac is the catchment area (Ha),
  • C is the runoff coefficient of the catchment area, and
  • 0.1 is the units correction between m3 and mm.Ha.
  • Step 8. Divide required storage (m3) by the 1 dimensional storage (in m) to find the required footprint area (Ap) for the bioretention in m2.
  • Step 9. Calculate the peak flow rate (Qp, in L/s) through the filter media:

Where:

  • Ksat is the saturated hydraulic conductivity of the filter media (mm/hr), and
  • Ap is the area of the practice (m2).

Additional calculations[edit]

Drainage time (3D)[edit]

Two practice areas of 9 m2.
P = 12 m (left), P = 20 m (right)

In some situations, it may be possible to reduce the size of the biortention required, by accounting for rapid drainage. Typically, this is only worth exploring over sandy soils with rapid infiltration. Note that narrow, linear bioretention features drain faster than round or blocky footprint geometries.

  • Begin the drainage time calculation by dividing the area of the practice (Ap) by the perimeter (P).
  • To estimate the time (t) to fully drain the facility:

Where:

  • VR is the void ratio of the media,
  • Ap is the area of the practice (m2),
  • f' is the design infiltration rate (mm/hr),
  • P is the perimeter of the practice (m), and
  • d is the total depth of the practice, including the ponding zone (m).

Groundwater mounding[edit]

When you wish to model the extent of groundwater mounding beneath an infiltration facility. This tool uses Hantush's derivation (1967).
Download groundwater mounding calculator(.xlsm)
Note that this is a minor adaptation (metric units and formatting) from the original tool, written and hosted by the USGS.