A locally conservative Multiscale Finite Element Method for multiphase flow simulation through heterogeneous and fractured porous media

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:343

Article

Zhang, Na¹  Wang, Yating²  Wang, Yuhe¹  Yan, Bicheng³  Sun, Qian¹ 

[1] Texas A&M Univ Qatar, Dept Petr Engn, Doha, Qatar

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Sanchez Oil & Gas Corp, Houston, TX USA

关键词: Multiscale Finite Element Method;    Multiphase flow through porous media;    Locally Conservative Galerkin Method;    Reservoir simulation;   

DOI  :  10.1016/j.cam.2018.05.005

来源: Elsevier

【 摘 要 】

A Multiscale Locally Conservative Galerkin (MsLCG) method is proposed to accurately simulate multiphase flow in heterogeneous and fractured porous media. MsLCG employs a coarse partition of the fine grids and multiscale basis function for mapping the fine scale information to the coarse-scale unknowns. Different from standard Multiscale Finite Element Method (MsFEM), the main improvement of our MsLCG is to use the property of local conservation at steady state conditions to define a numerical flux at element boundaries. MsLCG provides a way to extend standard MsFEM to handle challenging multiphase flow problems in heterogeneous and fractured porous media. MsLCG preserves all the advantages of the standard MsFEM while it provides explicitly conservative fluxes through each element. We present a number of representative numerical examples to demonstrate that our method is efficient and accurate for simulating multiphase flow through heterogeneous and fractured porous media. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free