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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:295

Article

Gao, Kai¹  Fu, Shubin²  Gibson, Richard L., Jr.¹  Chung, Eric T.⁴  Efendiev, Yalchin^2,3 

[1] Texas A&M Univ, Dept Geol & Geophys, College Stn, TX 77843 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] King Abdullah Univ Sci & Technol, Numer Porous Media SRI Ctr NumPor, Thuwal, Saudi Arabia

[4] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

关键词: Elastic wave propagation;    Generalized Multiscale Finite-Element Method (GMsFEM);    Heterogeneous media;    Anisotropic media;   

DOI  :  10.1016/j.jcp.2015.03.068

来源: Elsevier

【 摘 要 】

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. Published by Elsevier Inc.

【 授权许可】

Free