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

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    Stokes2Darcy.pdf
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    Type
    Article
    Authors
    Chen, Jie
    Sun, Shuyu cc
    He, Zhengkang
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2018-11-07
    Online Publication Date
    2018-11-07
    Print Publication Date
    2019
    Permanent link to this record
    http://hdl.handle.net/10754/631724
    
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    Abstract
    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 House
    Journal
    Journal of Porous Media
    DOI
    10.1615/JPorMedia.2018028699
    Additional Links
    http://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0248bc2a2f5b1b3a,2b974e322a7e153c.html
    ae974a485f413a2113503eed53cd6c53
    10.1615/JPorMedia.2018028699
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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