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dc.contributor.authorEl-Amin, Mohamed
dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.date.accessioned2017-11-29T11:13:55Z
dc.date.available2017-11-29T11:13:55Z
dc.date.issued2017-11-23
dc.identifier.citationEl-Amin MF, Kou J, Sun S (2017) Discrete-fracture-model of multi–scale time-splitting two–phase flow including nanoparticles transport in fractured porous media. Journal of Computational and Applied Mathematics. Available: http://dx.doi.org/10.1016/j.cam.2017.11.008.
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2017.11.008
dc.identifier.urihttp://hdl.handle.net/10754/626227
dc.description.abstractIn this article, we consider a two-phase immiscible incompressible flow including nanoparticles transport in fractured heterogeneous porous media. The system of the governing equations consists of water saturation, Darcy’s law, nanoparticles concentration in water, deposited nanoparticles concentration on the pore-wall, and entrapped nanoparticles concentration in the pore-throat, as well as, porosity and permeability variation due to the nanoparticles deposition/entrapment on/in the pores. The discrete-fracture model (DFM) is used to describe the flow and transport in fractured porous media. Moreover, multiscale time-splitting strategy has been employed to manage different time-step sizes for different physics, such as saturation, concentration, etc. Numerical examples are provided to demonstrate the efficiency of the proposed multi-scale time splitting approach.
dc.description.sponsorshipThe first author is thankful to the Effat University Deanship of Graduate Studies and Research for providing the financial support through internal research grants system, Decision No. UC#8/30.APR.2017/10.2-30(F).
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S037704271730568X
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, [, , (2017-11-23)] DOI: 10.1016/j.cam.2017.11.008 . © 2017. 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.subjectMultiscale time-splitting
dc.subjectIMPES
dc.subjectNanoparticles
dc.subjectTwo-phase flow
dc.subjectPorous media
dc.subjectReservoir simulation
dc.titleDiscrete-fracture-model of multi–scale time-splitting two–phase flow including nanoparticles transport in fractured porous media
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.institutionMathematics Department, Faculty of Science, Aswan University, Aswan 81528, Egypt
dc.contributor.institutionCollege of Engineering, Effat University, Jeddah 21478, Saudi Arabia
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
kaust.personEl-Amin, Mohamed
kaust.personSun, Shuyu
dc.date.published-online2017-11-23
dc.date.published-print2018-05


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