HOMOGENIZE COUPLED STOKES–CAHN–HILLIARD SYSTEM TO DARCY'S LAW FOR TWO-PHASE FLUID FLOW IN POROUS MEDIUM BY VOLUME AVERAGING
Type
ArticleAuthors
Chen, JieSun, Shuyu

He, Zhengkang
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2018-11-07Online Publication Date
2018-11-07Print Publication Date
2019Permanent link to this record
http://hdl.handle.net/10754/631724
Metadata
Show full item recordAbstract
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.Citation
Chen 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.Sponsors
This 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.Publisher
Begell HouseJournal
Journal of Porous MediaAdditional Links
http://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0248bc2a2f5b1b3a,2b974e322a7e153c.htmlae974a485f413a2113503eed53cd6c53
10.1615/JPorMedia.2018028699