A new formulation of immiscible compressible two-phase flow in porous media

Brahim Amaziane; Mladen Jurak

doi:10.1016/j.crme.2008.04.008

A new formulation of immiscible compressible two-phase flow in porous media

Presented by: Évariste Sanchez-Palencia

Brahim Amaziane ¹ ; Mladen Jurak ²

¹ Laboratoire de mathématiques appliquées, CNRS-UMR 5142, Université de Pau, avenue de l'Université, 64000 Pau, France
² Department of Mathematics, University of Zagreb, Bijenička c. 30, 10000, Zagreb, Croatia

Comptes Rendus. Mécanique, Volume 336 (2008) no. 7, pp. 600-605.

Abstract
Résumé

A new formulation is proposed to describe immiscible compressible two-phase flow in porous media. The main feature of this formulation is the introduction of a global pressure. The resulting equations are written in a fractional flow formulation and lead to a coupled system which consists of a nonlinear parabolic (the global pressure equation) and a nonlinear diffusion–convection one (the saturation equation) which can be efficiently solved numerically.

Une nouvelle formulation est proposée pour décrire les écoulements diphasiques immiscibles compressibles en milieux poreux. Ce modèle est basé sur la notion de pression globale. Les équations du problème sont écrites sous forme de flux fractionnel et introduisent un système couplé faisant intervenir une équation parabolique nonlinéaire (équation de la pression globale) et une équation de diffusion–convection nonlinéaire (équation de la saturation). Cette formulation permet la mise en oeuvre d'une méthode de calcul numérique performante pour le système diphasique complet.

Received: 2007-10-10
Accepted: 2008-04-17
Published online: 2008-05-15

DOI: 10.1016/j.crme.2008.04.008

Keywords: Porous media, Compressible, Immiscible, Water–Gas, Global pressure, Nuclear waste
Mots-clés : Milieux poreux, Compressible, Immiscible, Eau–Gaz, Pression globale, Déchets nucléaires

Author's affiliations:

Brahim Amaziane ¹; Mladen Jurak ²

¹ Laboratoire de mathématiques appliquées, CNRS-UMR 5142, Université de Pau, avenue de l'Université, 64000 Pau, France
² Department of Mathematics, University of Zagreb, Bijenička c. 30, 10000, Zagreb, Croatia

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Brahim Amaziane; Mladen Jurak. A new formulation of immiscible compressible two-phase flow in porous media. Comptes Rendus. Mécanique, Volume 336 (2008) no. 7, pp. 600-605. doi : 10.1016/j.crme.2008.04.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.04.008/

References
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