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Initial-boundary value problem of three phase flow in porous media

Initial-boundary value problem of three phase flow in porous media
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摘要 We study the mathematical model of three phase compressible flows through porous media. Under the condition that the rock, water and oil are incompressible, and the compressibility of gas is small, we present a finite element scheme to the initial-boundary value problem of the nonlinear system of equations, then by the convergence of the scheme we prove that the problem admits a weak solution. We study the mathematical model of three phase compressible flows through porous media.Under the condition that the rock,water and oil are incompressible,and the compressibility of gas is small,we present a fnite element scheme to the initial-boundary value problem of the nonlinear system of equations,then by the convergence of the scheme we prove that the problem admits a weak solution.
作者 YING LungAn
出处 《Science China Mathematics》 SCIE 2013年第12期2799-2807,共9页 中国科学:数学(英文版)
关键词 porous media three phase flow weak solution finite element method 初始边界值问题 多孔介质 三相流 生日 有限元格式 非线性系统 数学模型 可压缩流
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  • 1Chavent G, Jaffre J. Mathematical Models and Finite Elements for Reservoir Simulation. North Holland, 1986. 被引量:1
  • 2Temam R. Navier-Stokes Equations, Theory and Numerical Analysis. North Holland, 1984. 被引量:1

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