Hydraulic Gradient Calculator

Determine the energy slope between two points in a flow system.

How to Use This Calculator

1

Measure heads

Determine water surface or piezometric heads at two points.

2

Measure distance

Use the along-flow distance L between the two points.

3

Compute i

i is dimensionless and represents energy grade line slope.

Formula

i = Δh / L

Where: Δh = head difference (m), L = separation distance (m).

Example: Δh = 1.2 m over L = 100 m → i = 0.012.

About Hydraulic Gradient

Hydraulic gradient drives seepage flow in soils and aquifers. It is central to Darcy's law: q = k i, where q is specific discharge and k is hydraulic conductivity.

Frequently Asked Questions

Is hydraulic gradient dimensionless?

Yes. It is a ratio of length to length (m/m).

What distance should I use?

Use the flow path distance, not straight-line if they differ significantly.