Hydraulic Gradient Calculator

Calculate hydraulic gradient to determine groundwater flow direction and magnitude

Calculate Hydraulic Gradient

m

Total hydraulic head at the first measurement point

m

Total hydraulic head at the second measurement point

m

Horizontal distance between the two measurement points

Hydraulic Gradient Results

Hydraulic Gradient
0.0000
m/m (dimensionless)
Head Change
0.000 m
Δh = h₁ - h₂

Flow Direction: No Flow

No hydraulic gradient exists - water is in equilibrium

Percentage
0.000%
Angle
0.00°
Ratio
No gradient

Formula: i = (h₁ - h₂) / L = 0.000 / 0.000 = 0.0000

Distance used: 0.000 m

Formula Used

i = (h₁ - h₂) / L

i: Hydraulic gradient (dimensionless)

h₁: Hydraulic head at point 1 (0 m)

h₂: Hydraulic head at point 2 (0 m)

L: Distance between points (0.000 m)

Example Calculation

Groundwater Flow Example

Scenario: Two monitoring wells along a flow path

Well 1 hydraulic head: 25.4 m

Well 2 hydraulic head: 23.1 m

Distance between wells: 150 m

Calculation Steps

Step 1: Calculate head difference: Δh = 25.4 - 23.1 = 2.3 m

Step 2: Apply formula: i = Δh / L = 2.3 / 150 = 0.0153

Step 3: Interpret result: Positive gradient → flow from well 1 to well 2

Result: Hydraulic gradient = 0.0153 (1.53%)

Gradient Interpretation

+

Positive Gradient

i > 0

Flow from point 1 to point 2

0

Zero Gradient

i = 0

No flow, equilibrium state

-

Negative Gradient

i < 0

Flow from point 2 to point 1

Typical Gradient Values

Flat terrain: 0.001 - 0.01

Very gentle slopes

Rolling hills: 0.01 - 0.1

Moderate topography

Steep terrain: 0.1 - 1.0

Mountainous areas

Near wells: Variable

Locally altered gradients

Understanding Hydraulic Gradient

What is Hydraulic Gradient?

Hydraulic gradient is the driving force for groundwater flow. It represents the change in hydraulic head per unit distance and determines both the direction and rate of groundwater movement.

Components of Hydraulic Head

  • Elevation head: Height above datum
  • Pressure head: Water pressure at point
  • Velocity head: Usually negligible in groundwater

Applications

  • Groundwater flow direction mapping
  • Contaminant plume tracking
  • Well field design and optimization
  • Environmental impact assessment
  • Groundwater modeling and simulation

Important: Hydraulic gradient is a vector quantity - both magnitude and direction are important for understanding groundwater flow patterns.