Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
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 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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1221548
- Alternate Identifier(s):
- OSTI ID: 1367758
- Report Number(s):
- LA-UR-15-22498
Journal ID: ISSN 0021-9991; PII: S0021999115002405
- Grant/Contract Number:
- 400411; 2014-15; FG03-00ER15034; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 295; Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; multiscale; elastic wave propagation; anisotropic media; heterogeneous media; Generalized Multiscale Finite-Element Method (GMsFEM)
Citation Formats
Gao, Kai, Fu, Shubin, Gibson, Richard L., Chung, Eric T., and Efendiev, Yalchin. Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. United States: N. p., 2015.
Web. doi:10.1016/j.jcp.2015.03.068.
Gao, Kai, Fu, Shubin, Gibson, Richard L., Chung, Eric T., & Efendiev, Yalchin. Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. United States. https://doi.org/10.1016/j.jcp.2015.03.068
Gao, Kai, Fu, Shubin, Gibson, Richard L., Chung, Eric T., and Efendiev, Yalchin. Tue .
"Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media". United States. https://doi.org/10.1016/j.jcp.2015.03.068. https://www.osti.gov/servlets/purl/1221548.
@article{osti_1221548,
title = {Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media},
author = {Gao, Kai and Fu, Shubin and Gibson, Richard L. and Chung, Eric T. and Efendiev, Yalchin},
abstractNote = {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.},
doi = {10.1016/j.jcp.2015.03.068},
journal = {Journal of Computational Physics},
number = C,
volume = 295,
place = {United States},
year = {Tue Apr 14 00:00:00 EDT 2015},
month = {Tue Apr 14 00:00:00 EDT 2015}
}
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