Articles

TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

  • Ying Lung-an
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  • Key Laboratory of Pure and Applied Mathematics, CCSE School of Mathematical Sciences, Peking University, Beijing 100871, China

Received date: 2011-06-24

  Online published: 2011-11-20

Supported by

This work was supported by the China State Major Key Project for Basic Researches.

Abstract

We study the mathematical model of two phase compressible flows through porous media. Under the condition that the compressibility of rock, oil, and water is small, we prove that the initial-boundary value problem of the nonlinear system of equations admits a weak solution.

Cite this article

Ying Lung-an . TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA[J]. Acta mathematica scientia, Series B, 2011 , 31(6) : 2159 -2168 . DOI: 10.1016/S0252-9602(11)60391-3

References

[1] Chavent G, Jaffre J. Mathematical Models and Finite Elements for Reservoir Simulation. North Holland, 1986

[2] Temam R. Navier-Stokes Equations, Theory and Numerical Analysis. North Holland, 1984

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