TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA

被引:0
|
作者
应隆安 [1 ]
机构
[1] Key Laboratory of Pure and Applied Mathematics,CCSE School of Mathematical Sciences,Peking University
关键词
porous media; two phase compressible flows; initial-boundary value problem;
D O I
暂无
中图分类号
O357.3 [渗流]; O241.7 [非线性代数方程和超越方程的数值解法];
学科分类号
070102 ; 080103 ; 080704 ;
摘要
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.
引用
收藏
页码:2159 / 2168
页数:10
相关论文
共 50 条
  • [1] TWO PHASE COMPRESSIBLE FLOW IN POROUS MEDIA
    Ying Lung-an
    ACTA MATHEMATICA SCIENTIA, 2011, 31 (06) : 2159 - 2168
  • [2] Slightly compressible and immiscible two-phase flow in porous media
    Saad, Mazen
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 15 : 12 - 26
  • [3] SOLUTIONS TO A MODEL FOR COMPRESSIBLE IMMISCIBLE TWO PHASE FLOW IN POROUS MEDIA
    Khalil, Ziad
    Saad, Mazen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [4] Homogenization of compressible two-phase two-component flow in porous media
    Amaziane, B.
    Pankratov, L.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 30 : 213 - 235
  • [5] AN IMPROVED HOMOGENIZATION RESULT FOR IMMISCIBLE COMPRESSIBLE TWO PHASE FLOW IN POROUS MEDIA
    Amaziane, Brahim
    Pankratov, Leonid
    Piatnitski, Andrey
    NETWORKS AND HETEROGENEOUS MEDIA, 2017, 12 (01) : 147 - 171
  • [6] Homogenization of immiscible compressible two-phase flow in random porous media
    Amaziane, B.
    Pankratov, L.
    Piatnitski, A.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 305 : 206 - 223
  • [7] A new formulation of immiscible compressible two-phase flow in porous media
    Amaziane, Brahim
    Jurak, Mladen
    COMPTES RENDUS MECANIQUE, 2008, 336 (07): : 600 - 605
  • [8] Open thermodynamic model for compressible multicomponent two-phase flow in porous media
    Oladyshkin, S.
    Panfilov, M.
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2012, 81 : 41 - 48
  • [9] Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media
    Jurak, Mladen
    Koldoba, Alexandre
    Konyukhov, Andrey
    Pankratov, Leonid
    COMPTES RENDUS MECANIQUE, 2019, 347 (12): : 920 - 929
  • [10] An adaptive mesh refinement algorithm for compressible two-phase flow in porous media
    Pau, George Shu Heng
    Bell, John B.
    Almgren, Ann S.
    Fagnan, Kirsten M.
    Lijewski, Michael J.
    COMPUTATIONAL GEOSCIENCES, 2012, 16 (03) : 577 - 592