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dc.contributor.authorGao, Kai
dc.contributor.authorFu, Shubin
dc.contributor.authorGibson, Richard L.
dc.contributor.authorChung, Eric T.
dc.contributor.authorEfendiev, Yalchin R.
dc.date.accessioned2015-04-23T14:37:02Z
dc.date.available2015-04-23T14:37:02Z
dc.date.issued2015-04-16
dc.identifier.citationGeneralized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media 2015 Journal of Computational Physics
dc.identifier.issn00219991
dc.identifier.doi10.1016/j.jcp.2015.03.068
dc.identifier.urihttp://hdl.handle.net/10754/550539
dc.description.abstractIt is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the computational cost of conventional numerical modeling methods, such as finite-difference method and finite-element method, becomes prohibitively expensive when applied to very large models. We propose a Generalized Multiscale Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both boundaries and the interior of a coarse node support or coarse element. The application of multiscale basis functions can capture the fine scale medium property variations, and allows us to greatly reduce the degrees of freedom that are required to implement the modeling compared with conventional finite-element method for wave equation, while restricting the error to low values. We formulate the continuous Galerkin and discontinuous Galerkin formulation of the multiscale method, both of which have pros and cons. Applications of the multiscale method to three heterogeneous models show that our multiscale method can effectively model the elastic wave propagation in anisotropic media with a significant reduction in the degrees of freedom in the modeling system.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021999115002405
dc.relation.urlhttp://arxiv.org/abs/1409.3550
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, 14 April 2015, DOI: 10.1016/j.jcp.2015.03.068
dc.subjectElastic wave propagation
dc.subjectGeneralized Multiscale Finite-Element Method (GMsFEM)
dc.subjectHeterogeneous media
dc.subjectAnisotropic media
dc.titleGeneralized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.identifier.journalJournal of Computational Physics
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Geology and Geophysics, Texas A&M University College Station, TX 77843, USA
dc.contributor.institutionDepartment of Mathematics, Texas A&M University College Station, TX 77843, USA
dc.contributor.institutionDepartment of Mathematics, Chinese University of Hong Kong Shatin, NT, Hong Kong
dc.identifier.arxivid1409.3550
kaust.personEfendiev, Yalchin R.
refterms.dateFOA2017-04-14T00:00:00Z
dc.date.published-online2015-04-16
dc.date.published-print2015-08
dc.date.posted2014-09-11


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