The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities

Liu, Z; Wang, D; Liang, J; Wu, F; Wu, C

The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities

Liu, Z Wang, D Liang, J Wu, F Wu, C

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Publication Type:: Journal Article
Citation:: Engineering Analysis with Boundary Elements, 2018, 90 pp. 86 - 99
Issue Date:: 2018-05-01

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Field	Value	Language
dc.contributor.author	Liu, Z	en_US
dc.contributor.author	Wang, D	en_US
dc.contributor.author	Liang, J	en_US
dc.contributor.author	Wu, F	en_US
dc.contributor.author	Wu, C https://orcid.org/0000-0001-6786-7934	en_US
dc.date.issued	2018-05-01	en_US
dc.identifier.citation	Engineering Analysis with Boundary Elements, 2018, 90 pp. 86 - 99	en_US
dc.identifier.issn	0955-7997	en_US
dc.identifier.uri	http://hdl.handle.net/10453/132256
dc.description.abstract	© 2018 Elsevier Ltd Taking full advantage of the indirect boundary element method (IBEM) and fast multi-pole expansion algorithm, this paper proposes a fast multi-pole indirect boundary element method (FM-IBEM) to solve the scattering of high-frequency seismic waves by three-dimensional (3-D) superficial irregularities or heterogeneity in a solid half-space. First, IBEM utilizes an exact dynamic Green's function for a full-space to construct the scattered wave field. Subsequently, by employing plane waves expansion of 3-D potential functions of compressional and shear waves, the multi-pole expansion and local expansion coefficients were derived. Implementation of FM-IBEM is presented in detail for wave-scattering problems. Numerical examples illustrate that the proposed FM-IBEM can reduce the memory required by more than an order of magnitude and also greatly improve the computing efficiency, retaining excellent accuracy as well. Ultimately, several high-frequency plane wave scattering problems of 3-D superficial irregularities in a solid half-space are illustrated, and several important scattering characteristics are described based on the high-precision numerical results.	en_US
dc.relation.ispartof	Engineering Analysis with Boundary Elements	en_US
dc.relation.isbasedon	10.1016/j.enganabound.2018.02.009	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	The fast multi-pole indirect BEM for solving high-frequency seismic wave scattering by three-dimensional superficial irregularities	en_US
dc.type	Journal Article
utslib.citation.volume	90	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	90	en_US

Abstract:

© 2018 Elsevier Ltd Taking full advantage of the indirect boundary element method (IBEM) and fast multi-pole expansion algorithm, this paper proposes a fast multi-pole indirect boundary element method (FM-IBEM) to solve the scattering of high-frequency seismic waves by three-dimensional (3-D) superficial irregularities or heterogeneity in a solid half-space. First, IBEM utilizes an exact dynamic Green's function for a full-space to construct the scattered wave field. Subsequently, by employing plane waves expansion of 3-D potential functions of compressional and shear waves, the multi-pole expansion and local expansion coefficients were derived. Implementation of FM-IBEM is presented in detail for wave-scattering problems. Numerical examples illustrate that the proposed FM-IBEM can reduce the memory required by more than an order of magnitude and also greatly improve the computing efficiency, retaining excellent accuracy as well. Ultimately, several high-frequency plane wave scattering problems of 3-D superficial irregularities in a solid half-space are illustrated, and several important scattering characteristics are described based on the high-precision numerical results.

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http://hdl.handle.net/10453/132256