Full Text: PDF
The central topic of this work is fluid flow through porous media. Therefore it is necessary to make a review on fluid dynamics. This is mainly done in order to give a good rational for Darcy’s law, by taking into account the porosity and permeability of the media. Here we study a simplified system which describes a two phase flow (freshwater and saltwater) with a sharp interface in coastal areas. This kind of flow is modeled by a coupled system of an elliptic and a degenerate parabolic equation. Many authors have studied these systems and mostly have used regularisation techniques. Here we first write down the derived equations without regularisation, then we establish conditions to prove theoretical results on the existence and uniqueness of the solution.
How to Cite this Article:
N. Djedaidi, F. Z. Nouri, A study for flow interactions in heterogeneous porous media, Communications in Optimization Theory 2016 (2016), Article ID 8.