Homogenization of two-phase fluid flow in porous media via volume averaging

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:353

Article

Chen, Jie¹  Sun, Shuyu²  Wang, Xiaoping³ 

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] King Abdullah Univ Sci & Technol, Div Phys Sci & Engn, Computat Transport Phenomena Lab, Thuwal 239556900, Saudi Arabia

[3] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China

关键词: Volume averaging;    Porous media;    Navier-Stokes-Cahn-Hilliard equations;    Darcy's law for two-phase flow;    Richards' equation;   

DOI  :  10.1016/j.cam.2018.12.023

来源: Elsevier

【 摘 要 】

A technique of local volume averaging is employed to obtain general equations which depict mass and momentum transport of incompressible two-phase flow in porous media. Starting from coupled Navier-Stokes-Cahn-Hilliard equations for incompressible two-phase fluid flow, the averaging is performed without oversimplifying either the porous media or the fluid mechanical relations. The resulting equations are Darcy's law for two-phase flow with medium parameters which could be evaluated by experiment. The Richards' equation of the mixed form can be deduced from the resulting equations.The differences between the resulting equations and the empirical two-phase fluid flow model adopted in oil industry are discussed by several numerical examples. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free