Difference between revisions of "Permeable pavements: Sizing"

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The following calculation is used to size the stone storage bed (reservoir) used as a base course. It is assumed that the footprint of the stone bed will be equal to the footprint of the pavement. The following equations are taken from the ICPI Manual <ref>Smith, D. 2006. Permeable Interlocking Concrete Pavements; Selection, Design, Construction, Maintenance. 3rd Edition. Interlocking Concrete Pavement Institute. Burlington, ON.</ref>
The following calculation is used to size the stone storage bed (reservoir) used as a base course. It is assumed that the footprint of the stone bed will be equal to the footprint of the pavement. The following equations are taken from the ICPI Manual <ref>Smith, D. 2006. Permeable Interlocking Concrete Pavements; Selection, Design, Construction, Maintenance. 3rd Edition. Interlocking Concrete Pavement Institute. Burlington, ON.</ref>


===To calculate the total depth of the stone reservoir (all graded layers)===  
===To calculate the total depth of the foundations (d<sub>f, max</sub>)(all aggregate layers)===  
The equation for the depth of the stone bed is as follows:  
The equation for the depth of the stone bedding is as follows:  


<math>d= \frac{[Q_c\times R + P - f'\times t ]}{V_{R}}</math>
<math>d_{f, max}= \frac{[Q_c\times R + P - f'\times t ]}{V_{R}}</math>
{{Plainlist|1=Where:
{{Plainlist|1=Where:
*''d'' = Stone bed depth (m)
*''Q<sub>c</sub>'' = Depth of runoff from contributing drainage area, not including permeable paving surface (m)  
*''Q<sub>c</sub>'' = Depth of runoff from contributing drainage area, not including permeable paving surface (m)  
*''R'' = ''A<sub>c</sub>''/''A<sub>p</sub>''; the ratio of contributing drainage area (''A<sub>c</sub>'') to permeable paving area (''A<sub>p</sub>''). Note that the contributing drainage area (''A<sub>c</sub>'') should not contain pervious areas.
*''R'' = ''A<sub>c</sub>''/''A<sub>p</sub>''; the ratio of contributing drainage area (''A<sub>c</sub>'') to permeable paving area (''A<sub>p</sub>''). Note that the contributing drainage area (''A<sub>c</sub>'') should not contain pervious areas.
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*''V<sub>R</sub>'' = Void ratio for stone bed (typically 0.4 for 50 mm dia. [[reservoir aggregate|clear stone]])}}  
*''V<sub>R</sub>'' = Void ratio for stone bed (typically 0.4 for 50 mm dia. [[reservoir aggregate|clear stone]])}}  


On highly permeable soils (e.g., infiltration rate of 45 mm/hr or greater), a maximum stone reservoir depth of 2 metres is recommended to prevent soil compaction and loss of permeability from the mass of overlying stone and stored water.  
On highly permeable soils (e.g., infiltration rate of 45 mm/hr or greater), a maximum stone reservoir depth of 2 metres is recommended to prevent soil compaction and loss of permeability from the mass of overlying stone and stored water.


===To calculate the invert of the underdrain from the base of the reservoir===
===To calculate the invert of the underdrain from the base of the reservoir===

Revision as of 18:09, 26 September 2018

The following calculation is used to size the stone storage bed (reservoir) used as a base course. It is assumed that the footprint of the stone bed will be equal to the footprint of the pavement. The following equations are taken from the ICPI Manual [1]

To calculate the total depth of the foundations (df, max)(all aggregate layers)[edit]

The equation for the depth of the stone bedding is as follows:

Where:

  • Qc = Depth of runoff from contributing drainage area, not including permeable paving surface (m)
  • R = Ac/Ap; the ratio of contributing drainage area (Ac) to permeable paving area (Ap). Note that the contributing drainage area (Ac) should not contain pervious areas.
  • P = Rainfall depth (m)
  • f' = Design infiltration rate (m/day)
  • t = Time to fill stone bed (typically 2 hr)
  • VR = Void ratio for stone bed (typically 0.4 for 50 mm dia. clear stone)

On highly permeable soils (e.g., infiltration rate of 45 mm/hr or greater), a maximum stone reservoir depth of 2 metres is recommended to prevent soil compaction and loss of permeability from the mass of overlying stone and stored water.

To calculate the invert of the underdrain from the base of the reservoir[edit]

For designs that include an underdrain, the maximum depth of the stone reservoir below the invert of the underdrain pipe (ds, max) can be calculated as follows:

Where:


When sizing the area of permeable paving based on the contributing drainage area, the following equation may be used: Failed to parse (syntax error): {\displaystyle A_p= \frac{Q_c\times A_c}{V_R \times dp – P + q'\times t}}

  1. Smith, D. 2006. Permeable Interlocking Concrete Pavements; Selection, Design, Construction, Maintenance. 3rd Edition. Interlocking Concrete Pavement Institute. Burlington, ON.