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dc.contributor.authorSun, Shuyu
dc.date.accessioned2019-09-10T11:48:04Z
dc.date.available2019-09-10T11:48:04Z
dc.date.issued2019-09-05
dc.identifier.doi10.1016/j.jcp.2019.108908
dc.identifier.urihttp://hdl.handle.net/10754/656713
dc.description.abstractThe modeling of multiphase fluid mixture and its flow in porous media is of great interest in the field of reservoir simulation. In this paper, we formulate a novel energy-based framework to model multi-component two-phase fluid systems at equilibrium. Peng-Robinson equation of state (EOS) is used to model the bulk properties of each phase, though our framework works well also with other equations of state. Our model reduces to the conventional compositional grading if restricted to one spatial vertical dimension together with the assumption of monodisperse pore-size distribution (all pores being one size). However, our model can be combined with a general distribution of pore size, which can generate interesting behaviors of capillarity in porous media. In particular, the model can be used to predict the capillary pressure of two-phase fluid as a function of saturation, with a given pore-size distribution. This model is the quantitative study of the first time in the literature for the capillarity of a two-phase fluid with partial miscibility. We proposed an unconditional-stable energy-decay numerical algorithm based on convex-concave splitting, which has been demonstrated to be both robust and efficient using numerical examples. To verify our model, we simulate the compositional grading of a binary fluid mixture consisting of carbon dioxide and normal decane. To demonstrate powerful features of our model, we provide an interesting example of fluid mixture in a porous medium with wide pore size distribution, where the competition of capillarity and gravity is observed. This work represents the first effort in the literature that rigorously incorporates capillarity and gravity effects into EOS-based phase equilibrium modeling.
dc.description.sponsorshipThe work was supported in part by the research project given by KAUST through the grant BAS/1/1351-01-01.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0021999119306138
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. 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 Physics, [[Volume], [Issue], (2019-09-05)] DOI: 10.1016/j.jcp.2019.108908 . © 2019. 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.subjectReservoir simulation
dc.subjectInterfacial tension
dc.subjectConvex splitting
dc.subjectPeng-Robinson equation of state
dc.subjectDiffuse interface models
dc.titleDarcy-scale phase equilibrium modeling with gravity and capillarity
dc.typeArticle
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalJournal of Computational Physics
dc.rights.embargodate2021-09-05
dc.eprint.versionPost-print
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01-01


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