Water Engineering Verified Calculator

Bioswale Calculator

Trapezoidal bioswale geometry, storage volume, media void storage and drawdown time for a given infiltration rate.

Geometry-based calculation.Trapezoidal swale geometry with a porosity-storage term and Darcy drawdown. No longitudinal slope effects, no inlet/outlet control structures.

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What this calculator does

A bioswale is a planted channel that slows, filters and infiltrates stormwater on its way through the site. This calculator gives you the trapezoidal cross-section, the volume the channel stores, the extra storage in an engineered media bed, and how long that volume takes to drain.

How to use it

  1. Enter the bottom width and design depth of the swale; 0.6–1.0 m bottoms are typical.
  2. Set the side slopes — 3H:1V to 5H:1V for a stable vegetated channel.
  3. Enter the length, which usually runs the length of the drainage path.
  4. Add a media bed length and porosity to gain extra storage, then check the drain time against the storm interval.

Governing formula

Governing Formula
A = (b + z·d)·d ; V = A·L ; t = V / (k · P·L)

Where:

  • b = Bottom width [m]
  • z = Side slope [–]
  • d = Design depth [m]
  • L = Swale length [m]

Derived Equations:

Wetted perimeter used for the drawdown: T = b + 2d√(1+z²)

Worked example — A 40 m swale, 0.8 m bottom, 0.3 m deep at 3:1

The figures below were produced by running this page's own engine with the example inputs (Design inflow (m³/s), Bottom width (m), Side slope (H:V) (–), Design depth (m), Swale length (m), Media porosity (%), Media bed length (m), Infiltration rate of the bed (mm/h)). If the calculator returns something different for the same numbers, that is a bug, not a rounding difference.

Expected results for the worked example
Swale storage volume20.4 m³
Cross-sectional area0.51 m²
Water surface width2.6 m
Additional media storage0 m³
Drain time7563 h
Flow velocity0.2
Assessment40 m swale stores ≈ 20.4 m³ (media adds ≈ 0.0 m³ of void hold) and drains in ≈ 7563 h at 25 mm/h.
  1. The cross-section is (0.8 + 3 × 0.3) × 0.3 = 0.51 m².
  2. Over 40 m that stores about 20 m³ of stormwater.
  3. At 25 mm/h infiltration the volume drains in roughly 20 hours.

Assumptions & limitations

Engineering calculation. Trapezoidal swale geometry with a porosity-storage term and Darcy drawdown. No longitudinal slope effects, no inlet/outlet control structures.

  • No longitudinal slope, so the real storage is reduced by the bed gradient along the channel.
  • No inlet or outlet control — a real swale needs a forebay and an underdrain or overflow level.
  • Vegetation density and sediment deposition reduce storage over time and need a maintenance plan.

This tool supports professional engineering work; it does not replace a sealed design. Confirm every result against the applicable standard and a licensed engineer before it is built.

References & standards

  • FHWA — urban stormwater treatment technical guidance for bioswales.
  • Local water sensitive urban design manuals.
Engineering Disclaimer & Verification Notice

This calculator provides preliminary engineering estimates for informational and planning purposes. Actual reverse osmosis / engineering system performance depends on site conditions, feed-water chemistry, membrane characteristics, operating pressure, temperature, recovery limits, fouling/scaling potential, and system design. Verify results using project-specific data, manufacturer projections, and applicable engineering standards before final design or operation.