Swale Grading Calculator

Calculate swale dimensions, cross-section area, and soil volume for grading drainage swales. Enter width, depth, and length for estimates.

ft
ft
ft
%
:1
$
Cross-Section Area
6.00 sq ft
parabolic shape
Soil to Excavate
22.2 yd³
600 cu ft
Total Fall
1.50 ft
1.5% over 100 ft
Surface Area
600 sq ft
For seeding or lining
Flow Velocity
4.70 ft/s
Manning n = 0.035
Flow Capacity
28.2 cfs
At full depth
Excavation Cost
$333.00
22.2 yd³ × $15.00
Total Cost
$543.00
Excavation + grass lining

Dimension Proportions

Volume (yd³)
22.2
Surface (×10 sf)
60.0
Flow (cfs)
28.2
Station (ft)Elevation Drop (ft)Cumulative Vol (yd³)
250.385.6
500.7511.1
751.1316.7
1001.5022.2
Lining Material Reference
MaterialCost / sq ftManning's nBest For
Grass / Sod$0.350.035Residential, bioswales
Riprap$3.500.040High-velocity channels
Concrete$8.000.013Urban, high flow
Geotextile + Gravel$2.500.025Erosion control
Planning notes, formulas, and examples

About the Swale Grading Calculator

A swale is a shallow, vegetated channel designed to collect and redirect stormwater runoff. Swales are a key component of residential and commercial grading plans, directing water away from structures and toward drainage outlets. Proper swale design requires the right cross-section dimensions and longitudinal slope.

This calculator estimates the cross-section area, soil volume to excavate, and flow capacity of a swale based on its width, depth, and length. It factors in the typical trapezoidal or parabolic shape used in residential grading designs.

Whether you're grading a yard, building a bioswale for rain garden filtration, or designing drainage for a commercial site, this calculator provides the key dimensions and soil quantities for planning.

When This Page Helps

Swale grading requires balancing cross-section size with slope to achieve the right flow capacity without erosion. This calculator converts your dimensions into soil volume and cross-section area, making it easy to plan excavation and hauling.

How to Use the Inputs

  1. Enter the swale top width in feet.
  2. Enter the swale depth in feet.
  3. Enter the swale length in feet.
  4. Set the longitudinal slope (1–2% typical).
  5. Review the cross-section area and soil volume.
  6. Check the excavation estimate in cubic yards.
Formula used
Cross-Section Area = 0.667 × Width × Depth (parabolic) Soil Volume (yd³) = Cross-Section × Length ÷ 27 Slope = Rise ÷ Run (typically 1–2%)

Example Calculation

Result: 22.2 yd³ excavation

Cross-section: 0.667 × 6 × 1.5 = 6.0 sq ft. Volume: 6.0 × 100 = 600 cu ft ÷ 27 = 22.2 yd³. Slope: 1.5% over 100 ft = 1.5 ft of fall.

Tips & Best Practices

  • Maintain 1–2% longitudinal slope for residential swales.
  • Wider, shallower swales are easier to mow and maintain.
  • Line steep swales (over 3%) with riprap or turf reinforcement to prevent erosion.
  • Bioswales use amended soil and native plants for infiltration and filtering.
  • Side slopes should be 3:1 or flatter for mowability.
  • Check that the swale outlet connects to a proper discharge point.

Swale Cross-Section Shapes

Parabolic: the most natural and common shape, calculated as 2/3 × width × depth. Trapezoidal: flat bottom with angled sides, used for higher-capacity channels. V-shaped: simplest but concentrates flow and can erode. Parabolic is preferred for residential settings.

Sizing a Residential Swale

For a typical 1/4-acre residential lot, a swale 4–6 ft wide and 12‒18 in deep handles normal rainfall. For larger drainage areas or clay soils, increase width or add a French drain underneath the swale for infiltration.

Swale Construction Steps

Stake the swale centerline and edges. Excavate to the design cross-section. Shape side slopes to 3:1 or flatter. Compact the subgrade lightly. Apply compost amendment for bioswales. Seed or sod the surface immediately. Install erosion blankets on bare soil.

Swale Maintenance

Mow regularly like the rest of the lawn. Remove debris and sediment deposits. Check for erosion after heavy storms. Re-seed bare patches promptly. Maintain the outlet connection to prevent backup and flooding.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Residential swales should have a longitudinal slope of 1–2%. Slopes less than 1% may not drain properly and can pond water. Slopes over 3% risk erosion and need reinforcement such as riprap or erosion blankets.