Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

Gao, Kai; Fu, Shubin; Gibson, Richard L.; Chung, Eric T.; Efendiev, Yalchin

doi:10.1016/j.jcp.2015.03.068

Title: Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

Journal Article · Tue Apr 14 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.03.068· OSTI ID:1221548

Gao, Kai ^[1]; Fu, Shubin ^[1]; Gibson, Richard L. ^[1]; Chung, Eric T. ^[2]; Efendiev, Yalchin ^[3]

Texas A & M Univ., College Station, TX (United States)
Chinese Univ. of Hong Kong, Shatin (Hong Kong)
Texas A & M Univ., College Station, TX (United States); King Abdullah Univ. of Science and Technology, Thuwal (Saudi Arabia)

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 Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, where we construct basis functions from multiple local problems for both the boundaries and 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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 400411; 2014-15; FG03-00ER15034; AC52-06NA25396

OSTI ID:: 1221548

Alternate ID(s):: OSTI ID: 1367758

Report Number(s):: LA-UR-15-22498; PII: S0021999115002405

Journal Information:: Journal of Computational Physics, Vol. 295, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 49 works

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