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Hydraulic Gradient Calculator

Calculate the hydraulic gradient with CalcPeak’s free Hydraulic Gradient Calculator!

Hydraulic Gradient Calculator

Please enter valid numbers for heads and distance.

How to Calculate Hydraulic Gradient

The hydraulic gradient is the slope of the hydraulic head between two points, indicating the direction and rate of groundwater flow. It is calculated as the difference in hydraulic head divided by the distance between the points.

Formula: \\( i = \frac{h_1 – h_2}{L} \\)
Where: – \\( i \\) = Hydraulic gradient (dimensionless) – \\( h_1 \\) = Hydraulic head at point 1 (m) – \\( h_2 \\) = Hydraulic head at point 2 (m) – \\( L \\) = Distance between points (m)

Example 1: Downward Flow

Head at point 1 = 14 m, Head at point 2 = 5 m, Distance = 9 m

Gradient = \\( \frac{14 – 5}{9} = \frac{9}{9} = 1 \\)
(Positive gradient indicates flow from high to low head.)

Example 2: Upward Flow

Head at point 1 = 5 m, Head at point 2 = 14 m, Distance = 9 m

Gradient = \\( \frac{5 – 14}{9} = \frac{-9}{9} = -1 \\)
(Negative gradient indicates upward flow.)

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