Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods

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dc.contributor.advisorRiviere, Beatriceen_US
dc.contributor.committeeMemberHeinkenschloss, Matthiasen_US
dc.contributor.committeeMemberChapman, Walteren_US
dc.contributor.committeeMemberChan, Jesseen_US
dc.creatorLin, Luen_US
dc.date.accessioned2020-10-08T19:17:13Zen_US
dc.date.available2020-10-08T19:17:13Zen_US
dc.date.created2020-08en_US
dc.date.issued2020-10-02en_US
dc.date.submittedAugust 2020en_US
dc.date.updated2020-10-08T19:17:13Zen_US
dc.description.abstractIn this dissertation, an effective numerical algorithm is developed for establishing simulation for the two-component two-phase flow with partial miscibility at the pore scale. Many studies in the rock-fluid interaction have been done for immiscible flow, whose components do not mix and separate instantaneously. This paper extends the study to miscible flow, whose components will mix with certain pressure and temperature, and exploits the potential of simulating complex real-life fluid interactions. The mathematical model consists of a set of Cahn-Hilliard equations and a realistic equation of state (i.e. Peng-Robinson equation of state). The numerical challenges lie in the fact that these are highly coupled, fourth-order, nonlinear partial differential equations. For solving the proposed PDEs, a discontinuous Galerkin (DG) method is used for space discretization, and a combination of backward Euler method and convex-concave splitting method is used for time discretizition. The resulting simulation can extract essential characteristics of the digital rock sample, agreeing with conventional lab-based tests but with only a fraction of cost in time and resources. Practically, the proposed algorithm and simulation can help engineers to make more informed decisions, for example in oil industry for enhancing oil recovery.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLin, Lu. "Simulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methods." (2020) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/109395">https://hdl.handle.net/1911/109395</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/109395en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectDiscontinuous Galerkin methoden_US
dc.subjectporous mediaen_US
dc.subjecttwo-component two-phase flowen_US
dc.subjectpartial miscibilityen_US
dc.subjectPeng-Robinson equation of stateen_US
dc.titleSimulations of Partially Miscible Two-Component Two-Phase Flow at the Pore-Scale Using Discontinuous Galerkin Methodsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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