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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media
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Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media

机译：多孔介质中不可压缩两相流的全部大规模保守意外

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摘要

In this paper we consider fully mass-conservative numerical schemes for the simulation of incompressible and immiscible two-phase flow in porous media with capillary pressure. Compared with two kinds of conventional IMplicit Pressure Explicit Saturation (IMPES) schemes, the new schemes deserve a merit that the conservation of mass of both phases can be obtained. The total conservation equation is obtained by the summation of the discretized conservation equation for each phase. This approach is quite different from the conventional IMPES schemes. We present two kinds of fully mass-conservative IMPES schemes to solve the coupled systems for pressure, auxiliary velocity and saturation of each phase. The upwind mixed finite element methods are used to solve the pressure-velocity systems which can be decoupled, and the problems in the decoupled systems can be proved to be well-posed. Moreover, the new schemes are unbiased and the saturation of each phase can be proved to be bounds-preserving if the time step size is smaller than a certain value. The new schemes can also be applied to approximate the incompressible and immiscible two-phase flow in heterogeneous porous media with different capillarity pressures. Several interesting examples of incompressible and immiscible two-phase flow in porous media are presented to demonstrate the robustness of the new algorithms. (C) 2019 Elsevier B.Y. All rights reserved.
机译：本文考虑了具有毛细管压力的多孔介质中不可压缩和不混溶的两相流的模拟的全部大规模保守数值方案。与两种传统的隐式压力明确饱和度（IMP）的方案相比，新方案应得的优点，即可以获得两相的质量守恒。通过对每个阶段的离散化保护方程的求和来获得总节约等式。这种方法与传统的IMPES方案完全不同。我们介绍了两种全部大规模保守的实施例，以解决每个相的压力，辅助速度和饱和的耦合系统。 Unumwind混合有限元方法用于解决可以分离的压力 - 速度系统，并且可以证明解耦系统中的问题是良好的。此外，如果时间步长大于特定值，则可以证明可以证明每个阶段的饱和度被证明是界限的。还可以应用新方案以近似具有不同毛细管性压力的异质多孔介质中的不可压缩和不混溶的两相流。提出了多孔介质中不可压缩和不混溶的两相流动的几个有趣的例子以证明新算法的鲁棒性。 （c）2019年Elsevier B.Y.版权所有。

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  • 作者

    Chen Huangxin; Kou Jisheng; Sun Shuyu; Zhang Tao;

  • 作者单位

    Xiamen Univ Sch Math Sci Xiamen 361005 Fujian Peoples R China|Xiamen Univ Fujian Prov Key Lab Math Modeling & High Performa Xiamen 361005 Fujian Peoples R China;

    Shaoxing Univ Sch Civil Engn Shaoxing 312000 Zhejiang Peoples R China|Hubei Engn Univ Sch Math & Stat Xiaogan 432000 Hubei Peoples R China;

    King Abdullah Univ Sci & Technol Computat Transport Phenomena Lab Div Phys Sci & Engn Thuwal 239556900 Saudi Arabia|China Univ Geosci Inst Geophys & Geomat Wuhan 430074 Hubei Peoples R China;

    King Abdullah Univ Sci & Technol Computat Transport Phenomena Lab Div Phys Sci & Engn Thuwal 239556900 Saudi Arabia|China Univ Geosci Inst Geophys & Geomat Wuhan 430074 Hubei Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Two-phase flow; IMPES; Upwind mixed finite element method; Conservation of mass; Bounds-preserving; Unbiased;

    机译：两相流动;强大的混合有限元法;质量守恒;保留界保存;无偏;

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