aLaboratoire de mathématiques appliquées, CNRS-UMR 5142, Université de Pau, avenue de l'Université, 64000 Pau, France;bDepartment of Mathematics, University of Zagreb, Bijenička c. 30, 10000, Zagreb, Croatia
Abstract:
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. To cite this article: B. Amaziane, M. Jurak, C. R. Mecanique 336 (2008).