Time evolution of the wave equation using rapid expansion method

Handle URI:
http://hdl.handle.net/10754/600024
Title:
Time evolution of the wave equation using rapid expansion method
Authors:
Pestana, Reynam C.; Stoffa, Paul L.
Abstract:
Forward modeling of seismic data and reverse time migration are based on the time evolution of wavefields. For the case of spatially varying velocity, we have worked on two approaches to evaluate the time evolution of seismic wavefields. An exact solution for the constant-velocity acoustic wave equation can be used to simulate the pressure response at any time. For a spatially varying velocity, a one-step method can be developed where no intermediate time responses are required. Using this approach, we have solved for the pressure response at intermediate times and have developed a recursive solution. The solution has a very high degree of accuracy and can be reduced to various finite-difference time-derivative methods, depending on the approximations used. Although the two approaches are closely related, each has advantages, depending on the problem being solved. © 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: 10.1190/1.3449091 </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>Time evolution of the wave equation using rapid expansion method</b></td></tr><tr><td>Pestana,Reynam C. et al.</td></tr><tr><td><i>GEOPHYSICS</i>(2010),75(4):T121</td></tr><tr><td><a href='http://dx.doi.org/10.1190/1.3449091'>http://dx.doi.org/10.1190/1.3449091</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/10.1190/1.3449091><img src="/docs/iPage/images/segdl_logo.gif" alt="SEGDL Logo"/></a> </div> <div id="second"> <a href=http://geophysics.geoscienceworld.org/cgi/doi/10.1190/1.3449091><img src="/docs/iPage/images/gswbanner.gif" alt="GSW Logo"/></a> </div></div></body></html>
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
Jul-2010
DOI:
10.1190/1.3449091
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
This work was made possible with funding from the King Abdullah University of Science and Technology (KAUST) and PETRO-BRAS/CENPES. We also thank CT-PETRO/CNPq-FINEP for providing funding and other support. Finally, we thank Bjorn Ursin for interesting and useful conversations.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPestana, Reynam C.en
dc.contributor.authorStoffa, Paul L.en
dc.date.accessioned2016-02-28T06:34:33Zen
dc.date.available2016-02-28T06:34:33Zen
dc.date.issued2010-07en
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: 10.1190/1.3449091 </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>Time evolution of the wave equation using rapid expansion method</b></td></tr><tr><td>Pestana,Reynam C. et al.</td></tr><tr><td><i>GEOPHYSICS</i>(2010),75(4):T121</td></tr><tr><td><a href='http://dx.doi.org/10.1190/1.3449091'>http://dx.doi.org/10.1190/1.3449091</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/10.1190/1.3449091><img src="/docs/iPage/images/segdl_logo.gif" alt="SEGDL Logo"/></a> </div> <div id="second"> <a href=http://geophysics.geoscienceworld.org/cgi/doi/10.1190/1.3449091><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.doi10.1190/1.3449091en
dc.identifier.urihttp://hdl.handle.net/10754/600024en
dc.description.abstractForward modeling of seismic data and reverse time migration are based on the time evolution of wavefields. For the case of spatially varying velocity, we have worked on two approaches to evaluate the time evolution of seismic wavefields. An exact solution for the constant-velocity acoustic wave equation can be used to simulate the pressure response at any time. For a spatially varying velocity, a one-step method can be developed where no intermediate time responses are required. Using this approach, we have solved for the pressure response at intermediate times and have developed a recursive solution. The solution has a very high degree of accuracy and can be reduced to various finite-difference time-derivative methods, depending on the approximations used. Although the two approaches are closely related, each has advantages, depending on the problem being solved. © 2010 Society of Exploration Geophysicists.en
dc.description.sponsorshipThis work was made possible with funding from the King Abdullah University of Science and Technology (KAUST) and PETRO-BRAS/CENPES. We also thank CT-PETRO/CNPq-FINEP for providing funding and other support. Finally, we thank Bjorn Ursin for interesting and useful conversations.en
dc.publisherSociety of Exploration Geophysicistsen
dc.titleTime evolution of the wave equation using rapid expansion methoden
dc.typeArticleen
dc.identifier.journalGEOPHYSICSen
dc.contributor.institutionUniversidade Federal da Bahia, Salvador, Brazilen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.