Numerical simulation of the two-phase fluid filtration in heterogeneous media

被引：0
|
作者：
Vasil’ev V.I. [1 ]
Vasil’eva M.V. [1 ]
Laevsky Y.M. [2 ]
Timofeeva T.S. [1 ]
机构：
[1] North-East Federal University, ul. Kulakovskogo 48, Yakutsk
[2] Institute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk
来源：
Journal of Applied and Industrial Mathematics | 2017年 / 11卷 / 2期
关键词：
filtration; finite element method; flux scheme; heterogeneous media; pressure; saturation; velocity;
D O I：
10.1134/S1990478917020156
中图分类号：
学科分类号：
摘要：
Under study is numerical solution of the problems of two-phase filtration. The formulation of the problem is given in terms of velocity, pressure and saturation. To approximate the velocity and pressure, the mixed finite elementmethod is used. The flux schemes are applied for discretization of the convection term in the saturation equation. We present the results of numerical solution of a model problem for heterogeneous media. © 2017, Pleiades Publishing, Ltd.
引用
收藏
页码：289 / 295
页数：6
相关论文
共 50 条
  • [11] Numerical simulation of immiscible two-phase flow in porous media
    Riaz, A
    Tchelepi, HA
    PHYSICS OF FLUIDS, 2006, 18 (01)
  • [12] Numerical simulation of fluid-solid two-phase flows
    Zhang, Z.
    Xie, Z.L.
    Huagong Xuebao/Journal of Chemical Industry and Engineering (China), 2001, 52 (01): : 1 - 12
  • [13] Equivalent Permeability and Simulation of Two-Phase Flow in Heterogeneous Porous Media
    B. Amaziane
    T. Hontans
    J.V. Koebbe
    Computational Geosciences, 2001, 5 : 279 - 300
  • [14] Equivalent permeability and simulation of two-phase flow in heterogeneous porous media
    Amaziane, B
    Hontans, T
    Koebbe, JV
    COMPUTATIONAL GEOSCIENCES, 2001, 5 (04) : 279 - 300
  • [15] Numerical study of two-phase fluid distributions in fractured porous media
    Yin, Peijie
    Zhao, Gao-Feng
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2015, 39 (11) : 1188 - 1211
  • [16] Numerical Modeling of Two-Phase Fluid Filtration for Carbonate Reservoir in Two-Dimensional Formulation
    Uzyanbaev, Ravil M.
    Bobreneva, Yuliya O.
    Poveshchenko, Yury A.
    Podryga, Viktoriia O.
    Polyakov, Sergey V.
    Rahimly, Parvin I.
    Gubaydullin, Irek M.
    MATHEMATICS, 2024, 12 (21)
  • [17] Numerical simulation for large deformation dynamic problem in two-phase media
    Di, Yuan
    Tang, Xiao-Wei
    Gongcheng Lixue/Engineering Mechanics, 2007, 24 (12): : 47 - 52
  • [18] Simulation of heterogeneous two-phase media using random fields and level sets
    Stefanou, George
    FRONTIERS OF STRUCTURAL AND CIVIL ENGINEERING, 2015, 9 (02) : 114 - 120
  • [19] Simulation of heterogeneous two-phase media using random fields and level sets
    George Stefanou
    Frontiers of Structural and Civil Engineering, 2015, 9 : 114 - 120
  • [20] Numerical simulation of shock wave problems with the two-phase two-fluid model
    Liu, Fayue
    Chen, Huandong
    Chen, Jiayue
    PROGRESS IN NUCLEAR ENERGY, 2020, 121
12345