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Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator

Easily calculate and compute flow net under-seepage rate (q) & critical exit hydraulic gradient calculator with accurate equations, live formulas, and expert guidance.

Water level difference between upstream and downstream.

Permeability of foundation soil.

Number of flow channels bounded by flow lines.

Number of potential head intervals across net.

Dimension of critical exit square where seepage leaves soil.

Saturated soil unit weight.

Calculated Result
7.7 L/(min·m)

Seepage Flow Rate

Seepage Flow Rate

7.7 L/(min·m)

Seepage Discharge L Per Min Per M

7.7

Seepage Rate M3 Per Sec Per M

1.275e-4

Exit Hydraulic Gradient Iexit

0.59

Critical Hydraulic Gradient Icr

1.019

7.7 — L/(min·m)

Calculation Breakdown

  1. Applied FormulaSolves Laplace 2D groundwater flow nets beneath dams and sheet pile walls to calculate steady seepage discharge rates and checks the critical exit gradient against quicksand piping boiling.q = k H \frac{N_f}{N_d}, \quad i_{cr} = \frac{G_s - 1}{1 + e}

Flow Net Seepage & Exit Gradient Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.93.95.87.7Seepage Flow Rate

What Is the Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator?

This tool computes flow net under-seepage rate (q) & critical exit hydraulic gradient calculator with high precision arithmetic.

How Does the Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator Work?

Solves Laplace 2D groundwater flow nets beneath dams and sheet pile walls to calculate steady seepage discharge rates and checks the critical exit gradient against quicksand piping boiling.

Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

q=kHNfNd,icr=Gs−11+eq = k H \frac{N_f}{N_d}, \quad i_{cr} = \frac{G_s - 1}{1 + e}

Solves Laplace 2D groundwater flow nets beneath dams and sheet pile walls to calculate steady seepage discharge rates and checks the critical exit gradient against quicksand piping boiling.

How to Use the Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Flow Net Under-Seepage Rate (Q) & Critical Exit Hydraulic Gradient Calculator Example

Input Values:

totalHeadDifferenceHmeters:8.5
permeabilityCoefficientMPerS:0.000045
numberOfFlowChannelsNf:4
numberOfEquipotentialDropsNd:12
exitElementLengthMeters:1.2
soilSaturatedUnitWeightKnM3:19.8
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required L/(min·m).

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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