Dam Engineering

Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based) Calculator

Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based) engineering calculator.

Quick Answer

Calculate Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based)

Calculator

Seepage flow rate per unit width & exit gradient magnitude (dimensionless) (m²⁄s)
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Result Interpretation

Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based) Calculator computes Seepage flow rate per unit width & exit gradient magnitude (dimensionless) in m^2/s using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Upstream water head above impervious base = 25
  • Length of embankment base (horizontal) = 100
  • Depth of impervious cutoff wall or foundation depth = 12
  • Hydraulic conductivity of embankment material = 2.0E-6
  • Downstream slope angle (radians) = 0.785398

Expected Result:

  • Seepage flow rate per unit width & exit gradient magnitude (dimensionless) = 0.00022601099997451

Engineering Interpretation:

Under the given input conditions, the calculated result is: Seepage flow rate per unit width & exit gradient magnitude (dimensionless) = 0.00022601099997451 m^2/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

dimensionless = (hydraulic conductivity of embankment material * upstream water head above impervious base * horizontal) / (2 * depth of impervious cutoff wall or foundation depth) + (hydraulic conductivity of embankment material * upstream water head above impervious base * tan(radians)) / (2 * sqrt(1 + pow(tan(radians), 2)))

Formula family: formula_dam_embankment_dam_seepage_quantity_exit_gradient_calculator

Variables

SymbolLabelRoleDescription
k Hydraulic conductivity of embankment material INPUT Hydraulic conductivity of embankment material
H Upstream water head above impervious base INPUT Upstream water head above impervious base
L Length of embankment base (horizontal) INPUT Length of embankment base (horizontal)
d Depth of impervious cutoff wall or foundation depth INPUT Depth of impervious cutoff wall or foundation depth
alpha Downstream slope angle (radians) INPUT Downstream slope angle (radians)
result Seepage flow rate per unit width & exit gradient magnitude (dimensionless) OUTPUT Seepage flow rate per unit width & exit gradient magnitude (dimensionless)

Calculation Steps

  1. Enter the hydraulic conductivity of embankment material in m/s.
  2. Enter the upstream water head above impervious base in m.
  3. Enter the length of embankment base (horizontal) in m.
  4. Enter the depth of impervious cutoff wall or foundation depth in m.
  5. Enter the downstream slope angle (radians) in rad.
  6. Step 1: Compute seepage flow rate per unit width & exit gradient magnitude (dimensionless).
  7. Read the seepage flow rate per unit width & exit gradient magnitude (dimensionless) (m^2/s) from the results.

Engineering Summary

Calculate Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based)

Frequently Asked Questions

What does this calculator calculate?

The Embankment Dam Seepage Flow Rate and Exit Gradient Calculator (Darcy-Based) Calculator estimates Seepage flow rate per unit width & exit gradient magnitude (dimensionless) based on the input parameters you provide

Why is hydraulic conductivity of embankment material important in this calculation?

hydraulic conductivity of embankment material is directly proportional to seepage flow rate per unit width & exit gradient magnitude (dimensionless). When you enter hydraulic conductivity of embankment material in m/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result seepage flow rate per unit width & exit gradient magnitude (dimensionless)?

The calculator outputs seepage flow rate per unit width & exit gradient magnitude (dimensionless) in m^2/s. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Hydraulic conductivity of embankment material (m/s), Upstream water head above impervious base (m), Length of embankment base (horizontal) (m), Depth of impervious cutoff wall or foundation depth (m), Downstream slope angle (radians) (rad). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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