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dc.contributor.authorGao, Kai
dc.contributor.authorChung, Eric T.
dc.contributor.authorGibson, Richard L.
dc.contributor.authorFu, Shubin
dc.contributor.authorEfendiev, Yalchin R.
dc.date.accessioned2015-06-10T18:55:20Z
dc.date.available2015-06-10T18:55:20Z
dc.date.issued2015-05-29
dc.identifier.citationA numerical homogenization method for heterogeneous, anisotropic elastic media based on multiscale theory 2015, 80 (4):D385 GEOPHYSICS
dc.identifier.issn0016-8033
dc.identifier.issn1942-2156
dc.identifier.doi10.1190/geo2014-0363.1
dc.identifier.urihttp://hdl.handle.net/10754/556701
dc.description.abstractThe development of reliable methods for upscaling fine-scale models of elastic media has long been an important topic for rock physics and applied seismology. Several effective medium theories have been developed to provide elastic parameters for materials such as finely layered media or randomly oriented or aligned fractures. In such cases, the analytic solutions for upscaled properties can be used for accurate prediction of wave propagation. However, such theories cannot be applied directly to homogenize elastic media with more complex, arbitrary spatial heterogeneity. Therefore, we have proposed a numerical homogenization algorithm based on multiscale finite-element methods for simulating elastic wave propagation in heterogeneous, anisotropic elastic media. Specifically, our method used multiscale basis functions obtained from a local linear elasticity problem with appropriately defined boundary conditions. Homogenized, effective medium parameters were then computed using these basis functions, and the approach applied a numerical discretization that was similar to the rotated staggered-grid finite-difference scheme. Comparisons of the results from our method and from conventional, analytical approaches for finely layered media showed that the homogenization reliably estimated elastic parameters for this simple geometry. Additional tests examined anisotropic models with arbitrary spatial heterogeneity in which the average size of the heterogeneities ranged from several centimeters to several meters, and the ratio between the dominant wavelength and the average size of the arbitrary heterogeneities ranged from 10 to 100. Comparisons to finite-difference simulations proved that the numerical homogenization was equally accurate for these complex cases.
dc.publisherSociety of Exploration Geophysicists
dc.relation.urlhttp://library.seg.org/doi/abs/10.1190/geo2014-0363.1
dc.rightsArchived with thanks to GEOPHYSICS
dc.subjectwave propagation
dc.subjectanisotropy
dc.subjectrock physics
dc.titleA numerical homogenization method for heterogeneous, anisotropic elastic media based on multiscale theory
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.identifier.journalGEOPHYSICS
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionTexas A&M University, Department of Geology and Geophysics, College Station, Texas, USA
dc.contributor.institutionGeophysics Group, Los Alamos National Laboratory, Los Alamos, New Mexico, USA
dc.contributor.institutionThe Chinese University of Hong Kong (CUHK), Department of Mathematics, Shatin, Hong Kong
dc.contributor.institutionTexas A&M University, Department of Mathematics, College Station, Texas, USA
kaust.personEfendiev, Yalchin R.
refterms.dateFOA2018-06-14T07:08:50Z
dc.date.published-online2015-05-29
dc.date.published-print2015-07


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