On the upstream mobility scheme for two-phase flow in porous media

被引：22

作者：

Mishra, Siddhartha ^{[2
]}

Jaffre, Jerome ^{[1
]}

机构：

[1] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France

[2] Univ Oslo, Ctr Math Applicat, N-0316 Oslo, Norway

来源：

COMPUTATIONAL GEOSCIENCES | 2010年 / 14卷 / 01期

关键词：

Two-phase flow in porous media; Upstream mobilities; Hyperbolic conservation laws; Entropy condition; Finite difference method; Finite volume method; CONSERVATION-LAWS; DISCONTINUOUS FLUX; DIFFERENCE SCHEME; POINT-SOURCE; CONVERGENCE; APPROXIMATIONS;

D O I：

10.1007/s10596-009-9135-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux function. Discretising in one dimension with a finite volume method, we investigate two numerical fluxes, an extension of the Godunov flux and the upstream mobility flux, the latter being widely used in hydrogeology and petroleum engineering. Then, in the case of a changing rock type, one can give examples when the upstream mobility flux does not give the right answer.

引用

页码：105 / 124

页数：20

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