Geodesic
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields
Electronic journal of differential equations, Tome 2003 (2003)
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.
Classification : 76B15, 76S05, 76T05, 65N06
Keywords: porous media, two-phase flow, interface, oil reservoirs 
@article{EJDE_2003__2003__a130,
     author = {Calugaru,  Cerasela-Iliana and Calugaru,  Dan-Gabriel and Crolet,  Jean-Marie and Panfilov,  Michel},
     title = {Evolution of fluid-fluid interface in porous media as the model of gas-oil fields},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1109.76375},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a130/}
}
TY  - JOUR
AU  - Calugaru,  Cerasela-Iliana
AU  - Calugaru,  Dan-Gabriel
AU  - Crolet,  Jean-Marie
AU  - Panfilov,  Michel
TI  - Evolution of fluid-fluid interface in porous media as the model of gas-oil fields
JO  - Electronic journal of differential equations
PY  - 2003
VL  - 2003
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a130/
LA  - en
ID  - EJDE_2003__2003__a130
ER  - 
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%A Calugaru,  Cerasela-Iliana
%A Calugaru,  Dan-Gabriel
%A Crolet,  Jean-Marie
%A Panfilov,  Michel
%T Evolution of fluid-fluid interface in porous media as the model of gas-oil fields
%J Electronic journal of differential equations
%D 2003
%V 2003
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a130/
%G en
%F EJDE_2003__2003__a130
Calugaru,  Cerasela-Iliana; Calugaru,  Dan-Gabriel; Crolet,  Jean-Marie; Panfilov,  Michel. Evolution of fluid-fluid interface in porous media as the model of gas-oil fields. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a130/