Author(s)

D.G. Zeitoun and G. Dagan

Abstract

Benchmark solutions for seawater-freshwater interface problems in aquifers of random permeability distribution D.G. Zeitoun and G. Dagan Faculty of Engineering, Tel Aviv University, Israel E-mail: optimod@inter. net. il Abstract Benchmark solutions are often used for the validation of numerical codes. In the field of stochastic hydrology, few closed form solutions for the statistical moments of the solutions are available. In the present contribution, we consider the problem of a sharp interface between salt and fresh waters in an aquifer of spatially variable permeability. We assume a layered structure, with permeability, a stationary random function of the vertical coordinate, of given mean and two point covariance. The flow is shallow and it obeys Dupuit assumption. We derive an exact analytical solution of two-dimensional steady flow of fresh water in a confined aquifer, with salt water in rest. The mean interface shape is Dupuit parabola, for a constant effec

Keywords