Numerical Analysis of Salt-Water Intrusion in Coastal Aquifer by Weighted Residuals Method

A weighted residuals method based on Galerkin's finite element technique is applied to investigate the salt—water intrusion and dispersion in the coastal aquifer. The salt-water intrusion phenomenon was treated as the density-dependent flow of two immiscible and miscible fluids.
The mathematical formulation of miscible density—dependent flow consists of the coupled form of the flow equation and the convective diffusion equation.
The present analysis uses two dimensional quadrilateral, isoparametric elements with a linear basis function for piezometric head, salt concentration and velocity