Electron. J. Diff. Eqns., Vol. 2003(2003), No. 25, pp. 1-10.
Stability of the interface between two immiscible fluids in porous media
Cerasela I. Calugaru, Dan-Gabriel Calugaru,
Jean-Marie Crolet, & Michel Panfilov
Abstract:
A generalized model has been recently proposed in [3]
to describe deformations of the mobile interface separating two
immiscible and compressible fluids in a deformable porous medium.
This paper deals with a few applications of this model in
realistic situations where it can be supposed that gravity
perturbations are propagating much slower than elastic
perturbations. Among these applications, one can include the
classical well-known case of groundwater flow with free surface,
but also more complex phenomena, as gravitational instability with
finger growth.
Submitted January 20, 2003. Published March 10, 2003.
Math Subject Classifications: 76B15, 35R35, 76T05.
Key Words: porous media, two-phase flow, interface, instability.
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Cerasela I. 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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