Time evolution of the wave equation using rapid expansion method

dc.contributor.authorPestana, Reynam C.
dc.contributor.authorStoffa, Paul L.
dc.contributor.institutionUniversidade Federal da Bahia, Salvador, Brazil
dc.contributor.institutionUniversity of Texas at Austin, Austin, United States
dc.date.accessioned2016-02-28T06:34:33Z
dc.date.available2016-02-28T06:34:33Z
dc.date.issued2010-07
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.
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.
dc.identifier.citationPestana, R. C., & Stoffa, P. L. (2010). Time evolution of the wave equation using rapid expansion method. GEOPHYSICS, 75(4), T121–T131. https://doi.org/10.1190/1.3449091
dc.identifier.doi10.1190/1.3449091
dc.identifier.issn0016-8033
dc.identifier.issn1942-2156
dc.identifier.journalGEOPHYSICS
dc.identifier.urihttp://hdl.handle.net/10754/600024
dc.publisherSociety of Exploration Geophysicists
dc.titleTime evolution of the wave equation using rapid expansion method
dc.typeArticle
display.details.left<span><h5>Type</h5>Article<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Pestana, Reynam C.,equals">Pestana, Reynam C.</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Stoffa, Paul L.,equals">Stoffa, Paul L.</a><br><br><h5>Date</h5>2010-07</span>
display.details.right<span><h5>Abstract</h5>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.<br><br><h5>Citation</h5>Pestana, R. C., & Stoffa, P. L. (2010). Time evolution of the wave equation using rapid expansion method. GEOPHYSICS, 75(4), T121–T131. https://doi.org/10.1190/1.3449091<br><br><h5>Acknowledgements</h5>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.<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=Society of Exploration Geophysicists,equals">Society of Exploration Geophysicists</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=GEOPHYSICS,equals">GEOPHYSICS</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1190/1.3449091">10.1190/1.3449091</a></span>
orcid.authorPestana, Reynam C.
orcid.authorStoffa, Paul L.
Files