Difference between revisions of "Bioretention: Sizing"

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<math>A_{p}=i\times D\times A_{i}/[d_{a} + (f' \times D)]</math>
 
<math>A_{p}=i\times D\times A_{i}/[d_{a} + (f' \times D)]</math>
 
{{Plainlist|1=Where:
 
{{Plainlist|1=Where:
*d<sub>a</sub> = Active water storage depth (m)
+
*d<sub>a</sub> = Active water storage depth (m), see above equations
*n' = effective porosity of the active storage fill material(s), (effective porosity of surface ponding depth and filter media depth combined for practices with no underdrain; porosity of storage reservoir aggregate or effective porosity of void-producing structure system for practices with an underdrain)
 
 
*f' = design infiltration rate of the underlying native soil (m/h)
 
*f' = design infiltration rate of the underlying native soil (m/h)
 
*D = Design storm duration (h)}}<br>
 
*D = Design storm duration (h)}}<br>
 
* Step 11: Compare required surface area of the practice to available space.<br>
 
* Step 11: Compare required surface area of the practice to available space.<br>
 
To decrease A<sub>p</sub>, consider increasing ponding depth if feasible and would not create a safety hazard, or decreasing catchment impervious area.
 
To decrease A<sub>p</sub>, consider increasing ponding depth if feasible and would not create a safety hazard, or decreasing catchment impervious area.
* Step 12:  Calculate catchment impervious area to practice permeable (footprint) area ratio:
+
* Step 12:  Calculate catchment impervious area to practice permeable (footprint) area ratio, R, also referred to as I/P ratio:
 
<math>R=A_{i}/A_{p}</math><br>
 
<math>R=A_{i}/A_{p}</math><br>
 
Adjust either A<sub>i</sub> or A<sub>p</sub> to keep R between 5 and 20.
 
Adjust either A<sub>i</sub> or A<sub>p</sub> to keep R between 5 and 20.

Revision as of 02:33, 5 May 2020

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 layer, embedded pipe diameter depth 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 table below describes some recommended values to use to begin the design process.

Component Recommended depth (with underdrain pipe) Recommended depth (no underdrain pipe) Typical porosity (n)
Surface ponding, maximum (dp, max)
  • 300 mm; filter media Blend A
  • 350 mm; filter media Blend B
See below 1
Mulch 75 ± 25 mm
  • 0.7 for wood based
  • 0.4 for stone
Filter media (dm)
  • 300 mm to support turf grass and accept only roof runoff
  • 600 mm to support shrubs, flowering perennials and deeply rooting decorative grasses and accept both roof and pavement runoff
  • 1000 mm to support trees and accept both roof and pavement runoff
  • 0.4 for sandier Blend A (drainage rate priority)
  • 0.35 for more loamy Blend B (water quality treatment priority)
Choker layer 100 mm 0.4
Perforated pipe and surrounding aggregate 200 mm (i.e. pipe diameter) Not applicable 0.4
Storage reservoir (ds) See below See below 0.4

Before you begin you will need to know the following;

  • Catchment area (i.e. contributing drainage area), Ac (m2)
  • Catchment runoff coefficient, C
  • Catchment impervious area, Ai (m2)
  • Design storm intensity, i (mm/h)
  • Design storm duration, D (h)
  • Infiltration target for design storm event, Id (mm)
  • Drainage time t (h) to fully drain the active storage of the practice, based on provincial or municipal criteria or average inter-event period for the location
  • Field infiltration rate of the underlying native soil ff (mm/h), median of field measurements or based on interpolation from median grain-size distribution results
  • Design infiltration rate of the underlying native soil f' (mm/h), median field measured value divided by a safety factor (z)
  • Safety factor, z (dimensionless value between 2 and 3) chosen by designer based on consideration of risk of failure factors
  • Proposed surface grade elevation at the practice location (metres above sea level, masl)
  • Elevation of the seasonally high water table or bedrock surface (metres above sea level, masl), below the practice location
  • Effective porosity of any void-producing structure system (e.g. soil cells, chambers and associated aggregate) included, n' (if applicable)
  • Types of plants to be supported by the filter media bed (i.e. grasses vs. mix of grasses, plants and shrubs vs. trees)
  • How runoff will be delivered to the practice (i.e. to surface ponding area, or directly to storage reservoir)

Decide if an underdrain will be included[edit]

  • Step 1: Based on the median measured infiltration rate of the native soil at the estimated location and bottom elevation of the practice, or estimated from the median grain-size distribution results, decide if an underdrain will be included in the design.

If the median measured or field estimated infiltration rate of the underlying native soil (ff) is less than 15 mm/h, include an underdrain.

Select a surface ponding depth to begin sizing with[edit]

  • Step 2: Determine a maximum surface ponding depth (dp, max)

For practices without underdrains:

Where:

  • f' = Design infiltration rate (mm/h), and
  • 48 = Maximum permissible drainage time for ponded water (h)

Note that in designs without underdrains, when filled to their maximum storage capacity, drainage of ponded water is limited by the infiltration rate at the base of the practice.

For practices with underdrains see recommended maximum surface ponding depth for each filter media blend in the table above.

  • Step 3: Select a design surface ponding depth, dp' (m) to begin sizing with:

For practices with soft (i.e. landscaped) edges and bowl-shaped ponding areas calculate the mean surface ponding depth:

Where:

  • dp, max = maximum surface ponding depth (m)


For practices with hard edges and vertical-walled ponding areas (e.g., stormwater planter, soil cell) use the maximum ponding depth:

Determine the active water storage depth of the practice[edit]

  • Step 4: Identify and calculate the active water storage depth of the practice, da

For practices without an underdrain, the active water storage components include the surface ponding, mulch and filter media depths (i.e. total depth of the practice). The active water storage depth of the practice can be calculated as:

Where:

  • dp' = Design surface ponding depth (m)
  • dm = Depth of mulch (m)
  • nm = Porosity of mulch
  • df = Depth of filter media (m)
  • nf = Porosity of filter media


For practices with the underdrain perforated pipe elevated off the bottom of the storage reservoir, the active storage component is the depth of storage reservoir below the invert of the underdrain perforated pipe that can reliably drain within the specified drainage time. The active water storage of the practice can be calculated as:

Where:


For practices with the underdrain perforated pipe installed on the bottom of the storage reservoir and connected to a riser (e.g., standpipe and 90 degree coupling), the active storage component is the storage reservoir depth between the inverts of the reservoir bottom and riser outlet (i.e invert elevation of the 90 degree coupling) and is calculated the same way as above.

To boost drainage performance on fine-textured, low permeability soils, consider designing storage reservoirs even deeper than those calculated using the above approach, that many not fully drain between storm events, which increases hydraulic head and infiltration rate at the base of the practice. See Low permeability soils for more information.

Calculate the total depth of the practice, dT[edit]

  • Step 5: Determine what the planting needs are and assign an appropriate depth of filter media, using the table above.
  • Step 6: Select an underdrain perforated pipe diameter (typically 100 or 200 mm), assign this as an 'embedded' depth equal to the pipe diameter. The perforated pipe depth can be made part of the active storage of the practice when a riser (standpipe and 90 degree coupling) are used to design the underdrain.
  • Step 7: Sum total depth of bioretention components, and compare to available space (i.e. depth) between the proposed surface grade and one (1) metre above the seasonally high water table or top of bedrock elevation in the practice location.
  • Step 8: Adjust component depths to maintain a separation of one (1) metre between the base of the practice and the seasonally high water table or top of bedrock elevation, or a lesser or greater value based on groundwater mounding analysis. See below and Groundwater for more information.

For practices without an underdrain in locations constrained in the vertical dimension, consider decreasing filter media depth (and supported plant types) and/or catchment impervious area.
For practices with an underdrain in locations constrained in the vertical dimension, consider installing the perforated pipe on the bottom of the storage reservoir and including a riser (saves the depth of aggregate needed to embed the pipe), and/or decreasing filter media depth (and supported plant types), ponding depth and/or catchment impervious area.

Determine the required surface area of the practice[edit]

  • Step 10: Calculate the surface (i.e footprint) area of the practice (Ap) needed to capture the runoff volume produced from the catchment during the design storm event

For practices where flow is delivered to a surface ponding area:

Where:

  • i = Design storm intensity (m/h)
  • D = Design storm duration (h)
  • Ai = Catchment impervious area (m2)
  • dp' = Design surface ponding depth (m)
  • ff, min = minimum infiltration rate (i.e. saturated hydraulic conductivity) of the filter media (m/h), see Filter media for guidance


For practices where flow is delivered directly to the storage reservoir:

Where:

  • da = Active water storage depth (m), see above equations
  • f' = design infiltration rate of the underlying native soil (m/h)
  • D = Design storm duration (h)


  • Step 11: Compare required surface area of the practice to available space.

To decrease Ap, consider increasing ponding depth if feasible and would not create a safety hazard, or decreasing catchment impervious area.

  • Step 12: Calculate catchment impervious area to practice permeable (footprint) area ratio, R, also referred to as I/P ratio:


Adjust either Ai or Ap to keep R between 5 and 20.

Calculate peak flow rates[edit]

Calculating infiltration practice drainage in 1 dimension[edit]

This spreadsheet compares drainage in a single dimension under zero head conditions, mean head conditions and falling head conditions. It provides a more conservative measurement of the drainage time for the purposes of groundwater mounding (where a shorter drainage time causes a greater impact).

Download drainage time calculator(.xlsx)

Drainage time (3D)[1][edit]

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

In some situations, it may be desirable to reduce the size of the bioretention required, by accounting for rapid drainage. Typically, this is only worth exploring over sandy textured native subsoils with rapid infiltration.

Note that narrow, linear bioretention features (or bioswales) drain faster than round or blocky footprint geometries.

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

Where:

  • n is the porosity of the filter media,
  • Ap is the area of the practice (m2),
  • f' is the design infiltration rate (mm/hr),
  • x is the perimeter of the practice (m), and
  • dT is the total depth of the practice, including the surface ponding depth (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.


  1. Woods Ballard, B., S. Wilson, H. Udale-Clarke, S. Illman, T. Scott, R. Ahsley, and R. Kellagher. 2016. The SuDS Manual. 5th ed. CIRIA, London.