Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

Handle URI:
http://hdl.handle.net/10754/550539
Title:
Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
Authors:
Gao, Kai; Fu, Shubin; Gibson, Richard L.; Chung, Eric T.; Efendiev, Yalchin R. ( 0000-0001-9626-303X )
Abstract:
It 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.
KAUST Department:
Numerical Porous Media SRI Center (NumPor)
Citation:
Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media 2015 Journal of Computational Physics
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
14-Apr-2015
DOI:
10.1016/j.jcp.2015.03.068
ARXIV:
arXiv:1409.3550
Type:
Article
ISSN:
00219991
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0021999115002405; http://arxiv.org/abs/1409.3550
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorGao, Kaien
dc.contributor.authorFu, Shubinen
dc.contributor.authorGibson, Richard L.en
dc.contributor.authorChung, Eric T.en
dc.contributor.authorEfendiev, Yalchin R.en
dc.date.accessioned2015-04-23T14:37:02Zen
dc.date.available2015-04-23T14:37:02Zen
dc.date.issued2015-04-14en
dc.identifier.citationGeneralized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media 2015 Journal of Computational Physicsen
dc.identifier.issn00219991en
dc.identifier.doi10.1016/j.jcp.2015.03.068en
dc.identifier.urihttp://hdl.handle.net/10754/550539en
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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0021999115002405en
dc.relation.urlhttp://arxiv.org/abs/1409.3550en
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.2015.03.068en
dc.subjectElastic wave propagationen
dc.subjectGeneralized Multiscale Finite-Element Method (GMsFEM)en
dc.subjectHeterogeneous mediaen
dc.subjectAnisotropic mediaen
dc.titleGeneralized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic mediaen
dc.typeArticleen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalJournal of Computational Physicsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Geology and Geophysics, Texas A&M University College Station, TX 77843, USAen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University College Station, TX 77843, USAen
dc.contributor.institutionDepartment of Mathematics, Chinese University of Hong Kong Shatin, NT, Hong Kongen
dc.identifier.arxividarXiv:1409.3550en
kaust.authorEfendiev, Yalchin R.en
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