Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 73, pp. 1-13.

Title: Evolution of fluid-fluid interface in porous media as 
       the model of gas-oil fields

Authors: Cerasela-Iliana Calugaru (Univ. de Franche-Comte, France)
         Dan-Gabriel Calugaru (Univ. Claude Bernard Lyon 1, France) 
         Jean-Marie Crolet (Univ. de Franche-Comte, France)
	 Michel Panfilov  (LAEGO - ENS de Geologie, France)

Abstract: 
  This article proposes a generalized model for describing deformations
  of the mobile interface separating two immiscible weakly compressible
  fluids in a weakly deformable porous medium. It describes a gravity
  non-equilibrium processes, including evolution of the
  gravitational instability and can be reduced in two cases. This
  paper deals with the first case in which elastic perturbations are
  propagating much slower than gravity perturbations. The obtained
  model has analytical solutions and is applied to simulate the
  behavior of oil-gas or water-oil interface in oil-gas reservoirs.
 
Submitted January 7, 2003. Published June 30, 2003.
Math Subject Classifications: 76B15, 76S05, 76T05, 65N06.
Key Words: Porous media; two-phase flow; interface; oil reservoirs.