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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorWu, Yuanqing
dc.date.accessioned2015-10-28T13:44:55Z
dc.date.available2015-10-28T13:44:55Z
dc.date.issued2015-10-21
dc.identifier.citationMixed finite element-based fully conservative methods for simulating wormhole propagation 2015 Computer Methods in Applied Mechanics and Engineering
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2015.09.015
dc.identifier.urihttp://hdl.handle.net/10754/581349
dc.description.abstractWormhole propagation during reactive dissolution of carbonates plays a very important role in the product enhancement of oil and gas reservoir. Because of high velocity and nonuniform porosity, the Darcy–Forchheimer model is applicable for this problem instead of conventional Darcy framework. We develop a mixed finite element scheme for numerical simulation of this problem, in which mixed finite element methods are used not only for the Darcy–Forchheimer flow equations but also for the solute transport equation by introducing an auxiliary flux variable to guarantee full mass conservation. In theoretical analysis aspects, based on the cut-off operator of solute concentration, we construct an analytical function to control and handle the change of porosity with time; we treat the auxiliary flux variable as a function of velocity and establish its properties; we employ the coupled analysis approach to deal with the fully coupling relation of multivariables. From this, the stability analysis and a priori error estimates for velocity, pressure, concentration and porosity are established in different norms. Numerical results are also given to verify theoretical analysis and effectiveness of the proposed scheme.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0045782515003096
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. 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 Computer Methods in Applied Mechanics and Engineering, 11 October 2015. DOI: 10.1016/j.cma.2015.09.015
dc.subjectMixed finite element methods
dc.subjectWormhole
dc.subjectError estimate
dc.subjectDarcy–Forchheimer model
dc.titleMixed finite element-based fully conservative methods for simulating wormhole propagation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personSun, Shuyu
kaust.personWu, Yuanqing
refterms.dateFOA2017-10-11T00:00:00Z
dc.date.published-online2015-10-21
dc.date.published-print2016-01


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