RT Journal Article
ID 2b974e322a7e153c
A1 Chen, Jie
A1 Sun, Shuyu
A1 He, Zhengkang 
T1 HOMOGENIZE COUPLED STOKES–CAHN–HILLIARD SYSTEM TO DARCY'S LAW FOR TWO-PHASE FLUID FLOW IN POROUS MEDIUM BY VOLUME AVERAGING
JF Journal of Porous Media
JO JPM
YR 2019
FD 2019-02-06
VO 22
IS 1
SP 1
OP 19
K1 volume averaging
K1 porous media
K1 Stokes–Cahn–Hilliard equations
K1 Darcy's law for twophase flow
AB A technique of local volume averaging is applied to obtain general equations that depict mass and momentum transport
of incompressible two-phase flow in porous media. Starting from coupled 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 using several numerical examples.

PB Begell House
LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0248bc2a2f5b1b3a,2b974e322a7e153c.html