Drainage Gravel Calculator Formula

Understand the math behind the drainage gravel calculator. Each variable explained with a worked example.

Formulas Used

Gravel Needed

gravel_cuyd = (trench_vol_cuft - pipe_vol_cuft) / 27

Approximate Weight

gravel_tons = (trench_vol_cuft - pipe_vol_cuft) / 27 * 1.4

Total Trench Volume

trench_vol = trench_vol_cuft

Variables

VariableDescriptionDefault
trench_lengthTrench Length(ft)50
trench_widthTrench Width(in)12
trench_depthTrench Depth(in)18
pipe_diameterDrain Pipe Diameter(in)4
trench_vol_cuftDerived value= trench_length * (trench_width / 12) * (trench_depth / 12)calculated
pipe_vol_cuftDerived value= trench_length * pi * pow(pipe_diameter / 24, 2)calculated

How It Works

Drainage Gravel Calculation

Gravel Volume = Trench Volume - Pipe Volume

The perforated pipe displaces some of the trench volume. Subtract its cross-sectional area multiplied by the trench length to get the net gravel volume. Use washed, angular gravel (3/4 to 1-1/2 inch) for good drainage.

Worked Example

50 ft French drain, 12 in wide, 18 in deep, with 4-inch pipe.

trench_length = 50trench_width = 12trench_depth = 18pipe_diameter = 4
  1. 01Trench volume = 50 x 1 x 1.5 = 75 cu ft
  2. 02Pipe volume = 50 x pi x (2/12) squared = 2.18 cu ft
  3. 03Gravel = (75 - 2.18) / 27 = 2.7 cu yd
  4. 04Weight = 2.7 x 1.4 = 3.8 tons

Frequently Asked Questions

What kind of gravel for French drains?

Use clean, washed gravel in 3/4 to 1-1/2 inch size. Avoid crushed limestone with fines, as the fine particles can clog the system over time.

Do I need filter fabric?

Yes, wrap the pipe in filter fabric or line the trench with it to prevent soil from migrating into the gravel and clogging the drain.

Ready to run the numbers?

Open Drainage Gravel Calculator