Amgad Elansary

Citation:

MODELING DENSITY DEPENDENT FLOW IN LAYERED AQUIFER SYSTEMS: I. MODEL DEVELOPMENT Authors, Hamza, KI, and Elansary A. S. , Journal of Engineering and Applied Science, JEAS, Volume 51, Issue 4, p.691-708, (2004)

Abstract:

This paper introduces an approach for solving coupled flow and transports equations in a variable density flow system and presents a numerical model for pollutant transport and flow pattern in layered aquifer system. This formulation is general, flexible and capable of taking full advantage of the nature of flow in such multi-layer systems. Governing equations are discussed for the flow and solute solution with significant variations of density through a porous medium. Equations for mass conservation and solute conversation are formulated in terms of mass fraction hydraulic head and the mass fraction concentrated solute solution. These equations are combined into two nonlinear-coupled partial differential equations. The non-linearity arising from the density variation and from a velocity dependent dispersion tensor made the problem very hard. Therefore, special techniques including mixed interpolation finite …