Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

被引：44

作者：

Brenner, Konstantin ^{[1
]}

Cances, Clement ^{[2
]}

Hilhorst, Danielle ^{[1
,3
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8628, Math Lab, F-91405 Orsay, France

[2] Univ Paris 06, CNRS, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[3] CNRS, Paris, France

来源：

COMPUTATIONAL GEOSCIENCES | 2013年 / 17卷 / 03期

关键词：

Finite volume schemes; Degenerate parabolic; Two-phase flow in porous media; Discontinuous capillarity; INCOMPRESSIBLE-FLOW; ASYMPTOTIC-BEHAVIOR; SCHEME; EXISTENCE; CONVERGENCE; EQUATIONS; BARRIERS; FORCES;

D O I：

10.1007/s10596-013-9345-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider an immiscible incompressible two-phase flow in a porous medium composed of two different rocks so that the capillary pressure field is discontinuous at the interface between the rocks. This leads us to apply a concept of multivalued phase pressures and a notion of weak solution for the flow which have been introduced in CancSs and Pierre (SIAM J Math Anal 44(2):966-992, 2012). We discretize the problem by means of a numerical algorithm which reduces to a standard finite volume scheme in each rock and prove the convergence of the approximate solution to a weak solution of the two-phase flow problem. The numerical experiments show in particular that this scheme permits to reproduce the oil-trapping phenomenon.

引用

页码：573 / 597

页数：25

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