Seawater-freshwater interface in a stratified aquifer of random permeability distribution

摘要

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 the Dupuit assumption. We derive an exact analytical solution of two-dimensional steady flow of fresh water in a Confined aquifer, with salt water a rest. The mean interface shape is a Dupuit parabola, for a Constant effective, permeability equal to the arithmetic mean of the random permeability.