TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

doi:10.1016/S0252-9602(11)60391-3

Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (6): 2159-2168.doi: 10.1016/S0252-9602(11)60391-3

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TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

Ying Lung-an

Key Laboratory of Pure and Applied Mathematics, CCSE School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2011-06-24 Online:2011-11-20 Published:2011-11-20
Supported by:
This work was supported by the China State Major Key Project for Basic Researches.

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.

Key words: porous media, two phase compressible flows, initial-boundary value problem

CLC Number:

76S05

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Ying Lung-an. TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA[J].Acta mathematica scientia,Series B, 2011, 31(6): 2159-2168.

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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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