Hillside Seepage: An Analytical Solution to a Nonlinear Dupuit‐Forchheimer Problem

An exact analytical solution is developed for steady flow in a sloping Dupuit aquifer. Constant areal accretion in the form of recharge from the surface and/or a leaky substratum occurs. An integrating factor is used to solve the nonlinear equation subject to upper and lower boundary conditions of known hydraulic head or flow. The field problem of interest is for shallow soil overlying a sloping bedrock.