Modeling flow in anisotropic porous medium with full permeability tensor

被引：7

作者：

Cao, Jie ^{[1
,2
]}

Gao, Hui ^{[1
,2
]}

Dou, Liangbin ^{[1
,2
]}

Zhang, Ming ^{[1
,2
]}

Li, Tiantai ^{[1
,2
]}

机构：

[1] Xian Shiyou Univ, Sch Petr Engn, Xian 710065, Peoples R China

[2] Minist Educ, Engn Res Ctr Dev & Management Low Extra Low Perme, Xian 710065, Peoples R China

来源：

SECOND INTERNATIONAL CONFERENCE ON PHYSICS, MATHEMATICS AND STATISTICS | 2019年 / 1324卷

基金：

中国国家自然科学基金;

关键词：

UNSTRUCTURED GRIDS; DISCRETIZATION;

D O I：

10.1088/1742-6596/1324/1/012054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The flow in anisotropic porous medium is significant for the modeling of subsurface fluids transportation. The subsurface porous medium is usually both heterogeneous and anisotropic, caused by the compaction and sedimentations effects on the formation. Full permeability tensor is therefore needed in modeling flow in anisotropic medium. In this research, two widely used finite volume schemes, Two-Point Flux Approximation (TPFA) and Multi-Point Flux Approximation (MPFA), are applied to solve the flow model with a full permeability tensor. The results verified that ignoring anisotropy of the porous medium results in overestimation of the total flux. The TPFA methods have high computational efficiency, but failed to represent the anisotropy. The MPFA scheme takes more CPU time than TPFA for same grid block resolution, but incorporates the anisotropy using a full tensor. The comparison between the results from two methods indicates that ignoring anisotropy results in significant errors in determined flux.

引用

页数：8

共 13 条

[1] Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results [J].