Electron. J. Diff. Eqns.,
Vol. 2003(2003), No. 73, pp. 1-13.
Evolution of fluid-fluid interface in porous media as
the model of gas-oil fields
Cerasela-Iliana Calugaru, Dan-Gabriel Calugaru,
Jean-Marie Crolet, & Michel Panfilov
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.
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Cerasela-Iliana Calugaru
Equipe de Calcul Scientifique
Universite de Franche-Comte
16 Route de Gray, 25030 Besancon Cedex France
email: calugaru@math.univ-fcomte.fr
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Dan-Gabriel Calugaru
Universite Claude Bernard Lyon 1
ISTIL, MCS/CDCSP
15, Boulevard Latrajet,
69622 Villeurbanne, France
email: calugaru@cdcsp.univ-lyon1.fr
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Jean-Marie Crolet
Equipe de Calcul Scientifique
Universite de Franche-Comte
16 Route de Gray, 25030 Besancon Cedex France
email: jmcrolet@univ-fcomte.fr |
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Michel Panfilov
LAEGO - ENS de Geologie - INP de Lorraine
Rue M. Roubault, BP 40
F - 54501 Vandoeuvre-les-Nancy France
email: michel.panfilov@ensg.inpl-nancy.fr
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