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dc.contributor.authorChen, Jie
dc.contributor.authorSun, Shuyu
dc.contributor.authorWang, Xiaoping
dc.date.accessioned2019-02-24T06:31:21Z
dc.date.available2019-02-24T06:31:21Z
dc.date.issued2018-12-30
dc.identifier.citationChen J, Sun S, Wang X (2019) Homogenization of two-phase fluid flow in porous media via volume averaging. Journal of Computational and Applied Mathematics 353: 265–282. Available: http://dx.doi.org/10.1016/j.cam.2018.12.023.
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2018.12.023
dc.identifier.urihttp://hdl.handle.net/10754/631127
dc.description.abstractA 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.
dc.description.sponsorshipThe work is supported by the National Natural Science Foundation of China (No.11401467), China Postdoctoral Science Foundation (No. 2013M542334. and No. 2015T81012) and Natural Science Foundation of Shaanxi Province, China (No. 2015JQ1012). S. Sun acknowledges that this work is supported by the KAUST research fund awarded to the Computational Transport Phenomena Laboratory at KAUST, Saudi Arabia through the grant BAS/1/1351-01-01.
dc.publisherElsevier BV
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0377042718307544
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, [353, , (2018-12-30)] DOI: 10.1016/j.cam.2018.12.023 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDarcy's law for two-phase flow
dc.subjectNavier–Stokes–Cahn–Hilliard equations
dc.subjectPorous media
dc.subjectRichards’ equation
dc.subjectVolume averaging
dc.titleHomogenization of two-phase fluid flow in porous media via volume averaging
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, , China
dc.contributor.institutionDepartment of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, , Hong Kong
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01-01
refterms.dateFOA2020-12-30T00:00:00Z
dc.date.published-online2018-12-30
dc.date.published-print2019-06


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