HOMOGENIZE COUPLED STOKES–CAHN–HILLIARD SYSTEM TO DARCY'S LAW FOR TWO-PHASE FLUID FLOW IN POROUS MEDIUM BY VOLUME AVERAGING
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Earth Science and Engineering Program
Computational Transport Phenomena Lab
Online Publication Date2018-11-07
Print Publication Date2019
Permanent link to this recordhttp://hdl.handle.net/10754/631724
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AbstractA 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.
CitationChen J, Sun S, He Z (2019) HOMOGENIZE COUPLED STOKES–CAHN–HILLIARD SYSTEM TO DARCY’S LAW FOR TWO-PHASE FLUID FLOW IN POROUS MEDIUM BY VOLUME AVERAGING. Journal of Porous Media 22: 1–19. Available: http://dx.doi.org/10.1615/JPorMedia.2018028699.
SponsorsThis work is partially supported by the National Natural Science Foundation of China under the contract No. 11401467, China Postdoctoral Science Foundation Funded Project under the contract No. 2013M542334 and No. 2015T81012, Natural Science Foundation of Shaanxi Province under the contract No. 2015JQ1012.
JournalJournal of Porous Media