Difference between revisions of "Bioretention: Sizing"

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==Step 1, total volume==
==Additional calculations==
[[File:Sizing bio1.png|thumb|The three storage areas 'bowl', 'filter media' and 'reservoir' are sized together.]]
The bioretention facility will comprise three vertical zones:
#a 'bowl' permitting water to pond occasionally (maximum depth, ''d<sub>p</sub>'' = 0.5 m)
#a layer of [[filter media]] to support plant growth (minimum depth, ''d<sub>m</sub>'' = 0.6 m) , and
#a reservoir of [[stone]] to store and facilitate [[infiltration]] of additional water (depth, ''d<sub>R</sub>'', includes 0.1 m choking layer).
Firstly, all three zones will be sized together within the limited depth to estimate the footprint area of the whole [[bioretention]] facility. To do this the mean void ratio (''V<sub>R</sub>'') will estimated as ~ 0.4.


To calculate the required practice area (''A<sub>p</sub>'') or footprint where the depth is constrained:
:<math>A_{p}=\frac{V}{V_{R}d}</math>
{{Plainlist|1=Where:
*''V'' = Required volume of storage in m<sup>3</sup>
*''V<sub>R</sub>'' = Void ratio (porosity), as measured (or default to 0.4) 
*''A<sub>p</sub>'' = Area of the infiltration practice in m<sup>2</sup>
*''d<sub>T</sub>'' = Total depth of infiltration practice in m (= ''d<sub>b</sub>'' + ''d<sub>m</sub>'' + ''d<sub>R</sub>'')}}
===Step 1 alternative, accounts for infiltration during a design storm event===
This may be desirable where the practice is located on particularly freely draining soils and/or where the design storm is of longer duration.
To calculate the required practice area (''A<sub>p</sub>'') or footprint where the depth is constrained:
:<math>A_{p}=\frac{A_{c}iD}{V_{R}d+f'D}</math>
{{Plainlist|1=Where:
*''D'' = Duration of design storm in hrs
*''i'' = Intensity of design storm in mm/hr
*''f''' = Design infiltration rate in mm/hr
*''V<sub>R</sub>'' = Void ratio (porosity), as measured (or default to 0.35 for all aggregates) 
*''A<sub>p</sub>'' = Area of the infiltration practice in m<sup>2</sup>
*''A<sub>c</sub>'' = Area of the catchment in m<sup>2</sup>
*''d<sub>T</sub>'' = Total depth of infiltration practice in m (= ''d<sub>b</sub>'' + ''d<sub>m</sub>'' + ''d<sub>R</sub>'')}}
==Step 2, geometry and perimeter==
[[file:Hydraulic radius.png|thumb|Two practice areas of 9 m<sup>2</sup>.<br>
[[file:Hydraulic radius.png|thumb|Two practice areas of 9 m<sup>2</sup>.<br>
P = 12 m (left), P = 20 m (right)]]
P = 12 m (left), P = 20 m (right)]]
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==Final step==
==Groundwater mounding==
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Check the mounding of groundwater beneath the facility to ensure no incompatibility with nearby sensitive receptors.
When you wish to model the extent of groundwater mounding beneath an infiltration facility. This tool uses Hantush's derivation (1967). 
{{Clickable button|[[Media:Hantush.xlsm|Download groundwater mounding calculator(.xlsm)]]}}
{{Clickable button|[[Media:Hantush.xlsm|Download groundwater mounding calculator(.xlsm)]]}}
Note that this is a minor adaptation (metric units and formatting) from the original tool, written and [https://pubs.usgs.gov/sir/2010/5102/ hosted by the USGS].
Note that this is a minor adaptation (metric units and formatting) from the original tool, written and [https://pubs.usgs.gov/sir/2010/5102/ hosted by the USGS].
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Revision as of 18:43, 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 Flow-through planters.

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]

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

Fit the bioretention facility into the site plan. It is necessary to have an idea of the perimeter of the facility.
Narrow, linear cells drain faster than round or blocky footprint geometries.
Divide the area of the practice (Ap) by the perimeter (P).

Step 3, depth of bowl,db[edit]

The duration of surface ponding is usually determined by the emptying of the facility below.

The 'bowl' area is simply the depressed elevation of the surface compared to the surrounding areas; a space to permit temporary ponding.
The depth of the bowl would not typically exceed 0.5 m due to safety concerns.
Some jurisdictions or particular sites may demand a lower maximum depth of ponding. It is worth bearing in mind that in most cases this ponded water will only occur once or twice per year.
The ponded water within the bowl should drain within 48 hrs. This addresses public concerns about mosquitoes and reduces the probability of losing vegetation due to saturated growing conditions.
The drainage of the bowl is not usually constrained by the surface infiltration (filter media should drain > 25 mm/hr). The infiltration of water from the bowl is determined by the drainage of the filter media and reservoir into the soils.
To estimate the time (t) to fully drain the facility:

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.