A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation

Handle URI:
http://hdl.handle.net/10754/627484
Title:
A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation
Authors:
Wu, Zedong ( 0000-0001-6532-9833 ) ; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Numerical simulation of the acoustic wave equation in either isotropic or anisotropic media is crucial to seismic modeling, imaging and inversion. Actually, it represents the core computation cost of these highly advanced seismic processing methods. However, the conventional finite-difference method suffers from severe numerical dispersion errors and S-wave artifacts when solving the acoustic wave equation for anisotropic media. We propose a method to obtain the finite-difference coefficients by comparing its numerical dispersion with the exact form. We find the optimal finite difference coefficients that share the dispersion characteristics of the exact equation with minimal dispersion error. The method is extended to solve the acoustic wave equation in transversely isotropic (TI) media without S-wave artifacts. Numerical examples show that the method is is highly accurate and efficient.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Seismic wave analysis group, King Abdullah university of science and technology, Thuwal, Saudi Arabia
Citation:
Wu Z, Alkhalifah T (2018) A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation. Journal of Computational Physics 365: 350–361. Available: http://dx.doi.org/10.1016/j.jcp.2018.03.046.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
5-Apr-2018
DOI:
10.1016/j.jcp.2018.03.046
Type:
Article
ISSN:
0021-9991
Sponsors:
We thank KAUST for its support and the SWAG group for the collaborative environment. We also thank BP for providing the benchmark dataset. The research reported in this publication is supported by funding from King Abdullah University of Science and Technology (KAUST). For computer time, this research used the resources of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. We also thank the associate editor Eli Turkel and another anonymous reviewer for their fruitful suggestions and comments.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0021999118302134
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorWu, Zedongen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2018-04-16T11:27:40Z-
dc.date.available2018-04-16T11:27:40Z-
dc.date.issued2018-04-05en
dc.identifier.citationWu Z, Alkhalifah T (2018) A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation. Journal of Computational Physics 365: 350–361. Available: http://dx.doi.org/10.1016/j.jcp.2018.03.046.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2018.03.046en
dc.identifier.urihttp://hdl.handle.net/10754/627484-
dc.description.abstractNumerical simulation of the acoustic wave equation in either isotropic or anisotropic media is crucial to seismic modeling, imaging and inversion. Actually, it represents the core computation cost of these highly advanced seismic processing methods. However, the conventional finite-difference method suffers from severe numerical dispersion errors and S-wave artifacts when solving the acoustic wave equation for anisotropic media. We propose a method to obtain the finite-difference coefficients by comparing its numerical dispersion with the exact form. We find the optimal finite difference coefficients that share the dispersion characteristics of the exact equation with minimal dispersion error. The method is extended to solve the acoustic wave equation in transversely isotropic (TI) media without S-wave artifacts. Numerical examples show that the method is is highly accurate and efficient.en
dc.description.sponsorshipWe thank KAUST for its support and the SWAG group for the collaborative environment. We also thank BP for providing the benchmark dataset. The research reported in this publication is supported by funding from King Abdullah University of Science and Technology (KAUST). For computer time, this research used the resources of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. We also thank the associate editor Eli Turkel and another anonymous reviewer for their fruitful suggestions and comments.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0021999118302134en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [, , (2018-04-05)] DOI: 10.1016/j.jcp.2018.03.046 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectAcoustic wave equationen
dc.subjectAnisotropicen
dc.subjectFinite differenceen
dc.subjectDispersion erroren
dc.titleA highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentSeismic wave analysis group, King Abdullah university of science and technology, Thuwal, Saudi Arabiaen
dc.identifier.journalJournal of Computational Physicsen
dc.eprint.versionPost-printen
kaust.authorWu, Zedongen
kaust.authorAlkhalifah, Tariq Alien
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