A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation

Handle URI:
http://hdl.handle.net/10754/597292
Title:
A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation
Authors:
Liu, Yang; Sen, Mrinal K.
Abstract:
We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. © 2010 Society of Exploration Geophysicists.
Citation:
OCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html><head> <title>Current Links for doi: 10.1190/1.3295447 </title> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <!--geophysics.html--></head><style> body { font-size: 100%; font-family: arial, times; } #prime { padding: 5px; } #second { padding: 5px; } #links { padding: 5px; } #data { padding:5px; } #top { padding:5px; }</style><body><div id="top"> <img src="/docs/iPage/images/SEG_corp_logo.jpg" alt="SEG Corp Logo"/> <p> The Society of Exploration Geophysicists is a not-for-profit organization that promotes the science of applied geophysics and the education of geophysicists. SEG, founded in 1930, fosters the expert and ethical practice of geophysics in the exploration and development of natural resources, in characterizing the near surface, and in mitigating earth hazards. The Society, which has more than 33 000 members in 138 countries, fulfills its mission through its publications, conferences, forums, Web sites, and educational opportunities. </p> <hr/></div><div id="data"> <table width="450"> <tr><td><b>A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation</b></td></tr><tr><td>Liu,Yang et al.</td></tr><tr><td><i>GEOPHYSICS</i>(2010),75(2):A1</td></tr><tr><td><a href='http://dx.doi.org/10.1190/1.3295447'>http://dx.doi.org/10.1190/1.3295447</td></tr> </table> <hr/></div><div id="links"> <p> This article is available from multiple sources. <br/>Please click on the logo of the service to which you have a subscription, or click any logo to obtain pay-per-view access. </p> <div id="prime"> <a href=http://library.seg.org/doi/abs/10.1190/1.3295447><img src="/docs/iPage/images/segdl_logo.gif" alt="SEGDL Logo"/></a> </div> <div id="second"> <a href=http://geophysics.geoscienceworld.org/cgi/doi/10.1190/1.3295447><img src="/docs/iPage/images/gswbanner.gif" alt="GSW Logo"/></a> </div></div></body></html>
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
Mar-2010
DOI:
10.1190/1.3295447
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
We thank assistant editor Johan Robertsson, the letters associate editor, and three anonymous reviewers for constructive criticism of our paper. Liu would like to thank the China Scholarship Council for financial support for this research and The University of Texas at Austin Institute for Geophysics (UTIG) for providing the facilities. This research was also partially supported by the National Natural Science Foundation of China under contract 40839901, the National 863 Program of China under contract 2007AA06Z218, and a KAUST grant to The University of Texas at Austin.
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Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Yangen
dc.contributor.authorSen, Mrinal K.en
dc.date.accessioned2016-02-25T12:29:59Zen
dc.date.available2016-02-25T12:29:59Zen
dc.date.issued2010-03en
dc.identifier.citationOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html><head> <title>Current Links for doi: 10.1190/1.3295447 </title> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <!--geophysics.html--></head><style> body { font-size: 100%; font-family: arial, times; } #prime { padding: 5px; } #second { padding: 5px; } #links { padding: 5px; } #data { padding:5px; } #top { padding:5px; }</style><body><div id="top"> <img src="/docs/iPage/images/SEG_corp_logo.jpg" alt="SEG Corp Logo"/> <p> The Society of Exploration Geophysicists is a not-for-profit organization that promotes the science of applied geophysics and the education of geophysicists. SEG, founded in 1930, fosters the expert and ethical practice of geophysics in the exploration and development of natural resources, in characterizing the near surface, and in mitigating earth hazards. The Society, which has more than 33 000 members in 138 countries, fulfills its mission through its publications, conferences, forums, Web sites, and educational opportunities. </p> <hr/></div><div id="data"> <table width="450"> <tr><td><b>A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation</b></td></tr><tr><td>Liu,Yang et al.</td></tr><tr><td><i>GEOPHYSICS</i>(2010),75(2):A1</td></tr><tr><td><a href='http://dx.doi.org/10.1190/1.3295447'>http://dx.doi.org/10.1190/1.3295447</td></tr> </table> <hr/></div><div id="links"> <p> This article is available from multiple sources. <br/>Please click on the logo of the service to which you have a subscription, or click any logo to obtain pay-per-view access. </p> <div id="prime"> <a href=http://library.seg.org/doi/abs/10.1190/1.3295447><img src="/docs/iPage/images/segdl_logo.gif" alt="SEGDL Logo"/></a> </div> <div id="second"> <a href=http://geophysics.geoscienceworld.org/cgi/doi/10.1190/1.3295447><img src="/docs/iPage/images/gswbanner.gif" alt="GSW Logo"/></a> </div></div></body></html>en
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/1.3295447en
dc.identifier.urihttp://hdl.handle.net/10754/597292en
dc.description.abstractWe propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. © 2010 Society of Exploration Geophysicists.en
dc.description.sponsorshipWe thank assistant editor Johan Robertsson, the letters associate editor, and three anonymous reviewers for constructive criticism of our paper. Liu would like to thank the China Scholarship Council for financial support for this research and The University of Texas at Austin Institute for Geophysics (UTIG) for providing the facilities. This research was also partially supported by the National Natural Science Foundation of China under contract 40839901, the National 863 Program of China under contract 2007AA06Z218, and a KAUST grant to The University of Texas at Austin.en
dc.publisherSociety of Exploration Geophysicistsen
dc.titleA hybrid scheme for absorbing edge reflections in numerical modeling of wave propagationen
dc.typeArticleen
dc.identifier.journalGEOPHYSICSen
dc.contributor.institutionChina University of Petroleum - Beijing, Beijing, Chinaen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
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