Iterative methods for 3D implicit finite-difference migration using the complex Padé approximation
Carlos A. N. da Costa, Itamara S. Campos, Jessé Carvalho Costa, Francisco A. Silva Neto, Jörg Schleicher, Amélia Novais · 2011
PreviousNext No Access12th International Congress of the Brazilian Geophysical Society & EXPOGEF, Rio de Janeiro, Brazil, 15–18 August 2011Iterative methods for 3D implicit finite-difference migration using the complex Padé approximationAuthors: Carlos A. N. CostaItamara S. CamposJessé C. CostaFrancisco A. Silva NetoJörg SchleicherAmélia NovaisCarlos A. N. CostaUFPA and INCT-GP, Brazil;, Itamara S. CamposUFPA and INCT-GP, Brazil;, Jessé C. CostaUFPA and INCT-GP, Brazil;, Francisco A. Silva NetoUFPA and INCT-GP, Brazil;, Jörg SchleicherUnicamp and INCT-GP, Brazil, and Amélia NovaisUnicamp and INCT-GP, Brazilhttps://doi.org/10.1190/sbgf2011-227 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract Conventional implementations of 3D finite-difference (FD) migration use splitting techniques to accelerate performace and save computational cost. However, such techniques are plagued with numerical anisotropy that jeopardizes correct positioning of dipping reflectors in the directions not used for the splitted operators. We implement 3D downward continuation migration without splitting in the space coordinates using a complex Padé approximation and implicit finite differences. In this way, the numerical anisotropy is eliminated at the expense of a computationally more intensive solution of a large banded linear system. We compare the performance of the iterative stabilized biconjugate gradient (BICGSTAB) and the multifrontal massively parallel direct solver (MUMPS). It turns out that the use of the complex Padé approximation is an effective preconditioner for the BICGSTAB, reducing the number of iterations relative to the real Padé expansion of the FD operator. As a consequence, the iterative BICGSTAB method was more efficient than the direct MUMPS method when solving for a single term in the Padé expansion. The properties of these algorithms are evaluated computing the migration impulse response in the SEG/EAGE salt model. Keywords: migration, seismic, imaging, 3D, finite differencePermalink: https://doi.org/10.1190/sbgf2011-227FiguresReferencesRelatedDetails 12th International Congress of the Brazilian Geophysical Society & EXPOGEF, Rio de Janeiro, Brazil, 15–18 August 2011ISSN (online):2159-6832Copyright: 2011 Pages: 2223 publication data© 2011 Published in electronic format with permission by the Brazilian Geophysical SocietyPublisher:Society of Exploration Geophysicists HistoryPublished: 13 Mar 2014 CITATION INFORMATION Carlos A. N. Costa, Itamara S. Campos, Jessé C. Costa, Francisco A. Silva Neto, Jörg Schleicher, and Amélia Novais, (2011), "Iterative methods for 3D implicit finite-difference migration using the complex Padé approximation," SEG Global Meeting Abstracts : 1094-1099. https://doi.org/10.1190/sbgf2011-227 Plain-Language Summary Keywordsmigrationseismicimaging3Dfinite differencePDF DownloadLoading ...