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Title: A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media

Abstract

Efficient and accurate numerical methods for elastic wave modeling in complex media have many important applications. However, it is fairly challenging to model elastic wave propagation in strongly heterogeneous media with high computational efficiency and high-order accuracy simultaneously. We develop a novel high-order multiscale finite-element method to model elastic wave propagation in strongly heterogeneous media in the time domain. The most important feature of our method is a generalization of standard multiscale finite element method by using high-order multiscale finite-element basis functions to capture the fine-scale heterogeneities on the coarse mesh, in contrast to conventional finite-element basis functions that are merely determined by the order of polynomials. These multiscale basis functions leads to a system matrix with significantly reduced dimension, thus enable us to solve the elastic wave equation on the coarse mesh with high-order accuracy and very low computational time cost. In conclusion, we use 2D and 3D numerical examples to demonstrate the superior efficiency and accuracy of our new modeling method compared with the conventional spectral-element method.

Authors:
 [1]; ORCiD logo [2];  [1]
  1. The Chinese Univ. of Hong Kong, Hong Kong (China)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Geothermal Technologies Office (EE-4G)
OSTI Identifier:
1569614
Report Number(s):
LA-UR-18-29762
Journal ID: ISSN 0926-9851
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Geophysics
Additional Journal Information:
Journal Volume: 170; Journal Issue: C; Journal ID: ISSN 0926-9851
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
Earth Sciences

Citation Formats

Fu, Shubin, Gao, Kai, and Chung, Eric T. A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media. United States: N. p., 2019. Web. doi:10.1016/j.jappgeo.2019.103852.
Fu, Shubin, Gao, Kai, & Chung, Eric T. A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media. United States. doi:10.1016/j.jappgeo.2019.103852.
Fu, Shubin, Gao, Kai, and Chung, Eric T. Sat . "A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media". United States. doi:10.1016/j.jappgeo.2019.103852.
@article{osti_1569614,
title = {A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media},
author = {Fu, Shubin and Gao, Kai and Chung, Eric T.},
abstractNote = {Efficient and accurate numerical methods for elastic wave modeling in complex media have many important applications. However, it is fairly challenging to model elastic wave propagation in strongly heterogeneous media with high computational efficiency and high-order accuracy simultaneously. We develop a novel high-order multiscale finite-element method to model elastic wave propagation in strongly heterogeneous media in the time domain. The most important feature of our method is a generalization of standard multiscale finite element method by using high-order multiscale finite-element basis functions to capture the fine-scale heterogeneities on the coarse mesh, in contrast to conventional finite-element basis functions that are merely determined by the order of polynomials. These multiscale basis functions leads to a system matrix with significantly reduced dimension, thus enable us to solve the elastic wave equation on the coarse mesh with high-order accuracy and very low computational time cost. In conclusion, we use 2D and 3D numerical examples to demonstrate the superior efficiency and accuracy of our new modeling method compared with the conventional spectral-element method.},
doi = {10.1016/j.jappgeo.2019.103852},
journal = {Journal of Applied Geophysics},
number = C,
volume = 170,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
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This content will become publicly available on September 14, 2020
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