Skip to content
Queensferry

Module 14

Two-dimensional seepage and flow nets

Water seeping around walls and beneath dams: flow lines and equipotentials, the flow net as a graphical solution, the seepage flow rate, and the exit gradient that governs piping and heave.

What this module covers

  • Describe two-dimensional seepage with flow lines and equipotentials
  • Read a flow net as a mesh of curvilinear squares and count Nf and Nd
  • Derive and use the flow-net flow rate q = k·h·(Nf/Nd)
  • Find pore pressure at a point from the equipotential drops
  • Compute the exit gradient and the factor of safety against piping/heave

Lessons

  1. From one-dimensional Darcy flow to a two-dimensional flow net.

    Start lesson →
  2. The seepage flow rate and pore pressure from the net.

    Start lesson →
  3. Where seepage emerges, and how it can lift or wash away the ground.

    Start lesson →

Module checkpoint

Check what you have taken in

3 questions

  1. Question 1

    A flow net has Nf = 3, Nd = 9, head loss h = 12 m and k = 5 × 10⁻⁷ m/s. What is the seepage flow rate per metre width, in m³/s/m?

  2. Question 2

    With h = 8 m, Nd = 16 and an exit-square length l = 1.0 m, what is the exit gradient?

  3. Question 3

    To increase the factor of safety against piping beneath a cutoff wall, you should: