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dc.contributor.authorEl-Amin, Mohamed
dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorSalama, Amgad
dc.date.accessioned2021-03-01T12:44:37Z
dc.date.available2021-03-01T12:44:37Z
dc.date.issued2017-12-25
dc.identifier.citationEl-Amin, M. F., Kou, J., Sun, S., & Salama, A. (2017). Adaptive time-splitting scheme for two-phase flow in heterogeneous porous media. Advances in Geo-Energy Research, 1(3), 182–189. doi:10.26804/ager.2017.03.05
dc.identifier.issn2207-9963
dc.identifier.issn2208-598X
dc.identifier.doi10.26804/ager.2017.03.05
dc.identifier.urihttp://hdl.handle.net/10754/667783
dc.description.abstractIn the present paper, an adaptive time-splitting scheme is introduced to investigate the problem of two-phase flow in heterogeneous porous media. The pressure and saturation equations are coupled by the capillary pressure which is linearized in terms of saturation. An IMplicit Pressure Explicit Saturation scheme is used to solve the problem under consideration. We use the time schemes for the pressure and saturation equations. The external time interval is divided into two levels, the first level is for the pressure, the second one is for the saturation. This method can reduce the computational cost arisen from the implicit solution of the pressure equation and the rapid changes in saturation. The time-step size for saturation equation is adaptive under computing and satisfying the Courant–Friedrichs–Lewy (CFL<1) condition. In order to show the well performance of the suggested scheme, we introduce a numerical example of a highly heterogeneous porous medium. The adaptive time step-size is shown in graphs as well as the water saturation is shown in contours.
dc.publisherYandy Scientific Press
dc.relation.urlhttps://www.yandy-ager.com/index.php/ager/article/view/68
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleAdaptive time-splitting scheme for two-phase flow in heterogeneous 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.journalAdvances in Geo-Energy Research
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionCollege of Engineering, Effat University, Jeddah, 21478, Kingdom of Saudi Arabia
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan, 432000, P. R. China
dc.contributor.institutionProcess System Engineering, Produced Water Treatment Laboratory, Faculty of Engineering, University of Regina, Regina, SK, Canada
dc.identifier.volume1
dc.identifier.issue3
dc.identifier.pages182-189
kaust.personEl-Amin, Mohamed
kaust.personSun, Shuyu
dc.identifier.eid2-s2.0-85055133255
refterms.dateFOA2021-03-01T12:45:20Z


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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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