Dam Engineering

Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient calculator

Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient engineering calculator.

Quick Answer

Calculate Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient

Calculator

Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) (m³⁄(s·m))
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Result Interpretation

Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient calculator computes Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) in m^3/(s·m) using the defined engineering formula and the input values provided. Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) is expressed in m^3/(s·m). No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Hydraulic conductivity of embankment core = 5.0E-8
  • Head difference across dam (upstream water level minus downstream tailwater level) = 30
  • Number of flow channels in flownet = 3
  • Number of equipotential drops in flownet = 12

Expected Result:

  • Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) = 3.75E-7

Engineering Interpretation:

Under the given input conditions, the calculated result is: Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) = 3.75E-7 m^3/(s·m).

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

combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions = (hydraulic conductivity of embankment core * upstream water level minus downstream tailwater level * number of flow channels in flownet) / number of equipotential drops in flownet

Formula family: formula_dam_embankment_dam_seepage_flow_rate_and_exit_gradient_calculator_darcy_based

Variables

SymbolLabelRoleDescription
k Hydraulic conductivity of embankment core INPUT Hydraulic conductivity of embankment core
H Head difference across dam (upstream water level minus downstream tailwater level) INPUT Head difference across dam (upstream water level minus downstream tailwater level)
Nf Number of flow channels in flownet INPUT Number of flow channels in flownet
Nd Number of equipotential drops in flownet INPUT Number of equipotential drops in flownet
result Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) OUTPUT Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions)

Calculation Steps

  1. Enter the hydraulic conductivity of embankment core in m/s.
  2. Enter the head difference across dam (upstream water level minus downstream tailwater level) in m.
  3. Enter the number of flow channels in flownet in dimensionless.
  4. Enter the number of equipotential drops in flownet in dimensionless.
  5. Step 1: Compute seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ h/nd near toe under standard flownet assumptions).
  6. Read the seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ h/nd near toe under standard flownet assumptions) (m^3/(s·m)) from the results.

Engineering Summary

Calculate Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient

Frequently Asked Questions

What does this calculator calculate?

The Darcy-Based Embankment Dam Seepage Flow Rate and Exit Hydraulic Gradient calculator estimates Seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ H/Nd near toe under standard flownet assumptions) based on the input parameters you provide

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

hydraulic conductivity of embankment core is directly proportional to seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ h/nd near toe under standard flownet assumptions). When you enter hydraulic conductivity of embankment core 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 and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ h/nd near toe under standard flownet assumptions)?

The calculator outputs seepage flow rate per unit width and exit hydraulic gradient (combined output for verification; note: exit gradient ≈ Δh/Δl ≈ h/nd near toe under standard flownet assumptions) in m^3/(s·m). 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 core (m/s), Head difference across dam (upstream water level minus downstream tailwater level) (m), Number of flow channels in flownet (dimensionless), Number of equipotential drops in flownet (dimensionless). 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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