Difference between revisions of "Bioretention: Sizing"
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{{Plainlist|1=Where: | {{Plainlist|1=Where: | ||
*''f''' = Design infiltration rate (mm/hr), and | *''f''' = Design infiltration rate (mm/hr), and | ||
− | *96 | + | *96 = [[Drainage time]] (hrs) |
− | *0.4 | + | *0.4 = Void ratio of [[reservoir gravel|clear stone]]}} |
===Additional step for system without underdrain=== | ===Additional step for system without underdrain=== | ||
Line 61: | Line 61: | ||
{{Plainlist|1=Where: | {{Plainlist|1=Where: | ||
*''f''' = Design infiltration rate (mm/hr), and | *''f''' = Design infiltration rate (mm/hr), and | ||
− | *48 | + | *48 = Drainage time of the ponding (hrs) |
− | *0.4 | + | *0.4 = Void ratio of [[reservoir gravel|clear stone]] *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. | * Step 5: Sum total depth of bioretention, and compare to available space above water table and bedrock. Adjust if necessary. | ||
Revision as of 20:33, 2 April 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.
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 (dp) | 300 mm | See below | 1 |
Mulch | 75 ± 25 mm |
| |
filter media (dm) |
|
0.3 | |
Choker course | 100 mm | 0.4 typical | |
Pipe diameter reservoir | Is equal to underdrain pipe diameter | Not applicable | 0.4 |
Storage reservoir (ds) | 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 (mm/hr), and
- 96 = Drainage time (hrs)
- 0.4 = Void ratio of clear stone
Additional step for system without underdrain[edit]
- Step 4: Determine maximum permissible ponding depth (dp):
Where:
- f' = Design infiltration rate (mm/hr), and
- 48 = Drainage time of the ponding (hrs)
- 0.4 = Void ratio of clear stone *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 (ST, 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 through the perforated pipe,
- Step 10. Calculate the peak flow rate through the filter media,
- Step 11. Determine if downstream flow control is required to achieve hydrologic objectives.
Additional calculations[edit]
Drainage time (3D)[edit]
In some situations, it may be possible to reduce the size of the bioretention 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
- dT 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).
Note that this is a minor adaptation (metric units and formatting) from the original tool, written and hosted by the USGS.