An optimal method of Galerkin type for diffusion-dispersion problems.
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Sburlan, Cristina (2004)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
C. Carasso, G. Pasa (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
P. Pietra (1982)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Gérard Gagneux, Ann-Marie Lefevere, Monique Madaune-Tort (1989)
Revista Matemática de la Universidad Complutense de Madrid
The aim of the paper is an analytical and numerical approach to the pseudo-compositional black-oil model for simulating a 3-D isothermal constrained polyphasic flow in porous media, taking into account realistic boundary conditions. The handling of the component conservation laws leads to a strongly coupled system including parabolic quasilinear degenerated equations and first-order hyperbolic inequalities: the introduction of unilateral problems arises from the nature of the thermodynamical equilibrium...
Spagnuolo, Anna Maria, Wright, Steve (2003)
Journal of Applied Mathematics
Joachim Escher, Gieri Simonett (1996)
Mathematische Annalen
Jiří Mikyška, Tissa H. Illangasekare (2007)
Kybernetika
We have developed a multiphase flow code that has been applied to study the behavior of non-aqueous phase liquids (NAPL) in the subsurface. We describe model formulation, discretization, and use the model for numerical investigation of sensitivity of the NAPL plume with respect to capillary parameters of the soil. In this paper the soil is assumed to be spatially homogeneous. A 2-D reference problem has been chosen and has been recomputed repeatedly with modified parameters of the Brooks–Corey capillary...
Børre Bang, Dag Lukkassen (1999)
Applications of Mathematics
We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered.
Markakis, M.P. (2010)
Mathematical Problems in Engineering
G. Gagneux, F. Guerfi (1990)
Revista Matemática de la Universidad Complutense de Madrid
In this paper, we concern ourselves with uniqueness results for an elliptic-parabolic quasilinear partial differential equation describing, for instance, the pressure of a fluid in a three-dimensional porous medium: within the frame of mathematical modeling of the secondary recovery from oil fields, the handling of the component conservation laws leads to a system including such a pressure equation, locally elliptic or parabolic according to the evolution of the gas phase.
Alain Brillard (1986/1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Philippe Angot, Franck Boyer, Florence Hubert (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
This study concerns some asymptotic models used to compute the flow outside and inside fractures in a bidimensional porous medium. The flow is governed by the Darcy law both in the fractures and in the porous matrix with large discontinuities in the permeability tensor. These fractures are supposed to have a small thickness with respect to the macroscopic length scale, so that we can asymptotically reduce them to immersed polygonal fault interfaces and the model finally consists in a coupling between...
Alain Brillard (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Tadeusz Śliwa (1980)
Colloquium Mathematicae
Fernando Quirós, Juan Luis Vazquez (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dietmar Kröner (1983)
Manuscripta mathematica
Etienne Ahusborde, Mejdi Azaïez, Faker Ben Belgacem, Christine Bernardi (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We consider the flow of a viscous incompressible fluid in a rigid homogeneous porous medium provided with mixed boundary conditions. Since the boundary pressure can present high variations, the permeability of the medium also depends on the pressure, so that the model is nonlinear. A posteriori estimates allow us to omit this dependence where the pressure does not vary too much. We perform the numerical analysis of a spectral element discretization of the simplified model. Finally we propose a strategy...
J.M. Sloss, J. Remar, J.C. Jr. Bruch (1982)
Numerische Mathematik
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