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• W1987218284 abstract "PreviousNext No AccessSEG Technical Program Expanded Abstracts 2008Two‐step explicit marching method for reverse time migrationAuthors: Robert SoubarasYu ZhangRobert SoubarasCGGVeritasSearch for more papers by this author and Yu ZhangCGGVeritasSearch for more papers by this authorhttps://doi.org/10.1190/1.3059337 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract We describe in this paper a new way of solving the two‐way wave equation called the two‐step Explicit Marching method. Compared to the conventional explicit finite‐difference algorithms, which can be second or fourth order but are subject to stability conditions and dispersion problems that limit the magnitude of the time steps used to propagate the wavefieds, the proposed method is based on a high order differential operator and allows arbitrary large time steps with guaranteed numerical stability and minimized dispersion. Synthetic and real data examples show that it allows the reverse time migration to be performed with the Nyquist time step, based on the maximum frequency of the input data, which is the maximum time step that can be used for proper imaging.Permalink: https://doi.org/10.1190/1.3059337FiguresReferencesRelatedDetailsCited byNovel first-order k-space formulations for wave propagation by asymmetrical factorization of space-wavenumber domain wave propagatorsHongyu Zhou, Yang Liu, Jing Wang, and Yuanyuan Ma4 November 2022 | GEOPHYSICS, Vol. 87, No. 6Time-dispersion correction for arbitrary even-order Lax-Wendroff methods and the application on full-waveform inversionZhiming Ren, Qianzong Bao, and Bingluo Gu30 August 2021 | GEOPHYSICS, Vol. 86, No. 5Two novel Fourier finite-difference schemes for acoustic wave propagationHongyu Zhou, How-Wei Chen, Yang Liu, and Jing Wang30 September 2020Comparison of expansion-based explicit time-integration schemes for acoustic wave propagationCarlos Spa, Otilio Rojas, and Josep de la Puente14 April 2020 | GEOPHYSICS, Vol. 85, No. 3Scalar wavefield time domain propagation in tilted orthorhombic media with Fourier finite differencesXiaolei Song10 August 2019Time-stepping wave-equation solution for seismic modeling using a multiple-angle formula and the Taylor expansionEdvaldo S. 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Stoffa14 November 2011 | GEOPHYSICS, Vol. 76, No. 5Using the rapid expansion method for accurate time-stepping in modeling and reverse-time migrationEkkehart Tessmer16 June 2011 | GEOPHYSICS, Vol. 76, No. 4Derivation and numerical analysis of implicit time stepping schemesChunlei Chu and Paul L. Stoffa8 August 2011Lowrank finite‐differences for wave extrapolationXiaolei Song, Sergey Fomel, Lexing Ying, and Tian Ding8 August 2011The Algorithm of High Order Finite Difference Pre-Stack Reverse Time Migration and GPU Implementation31 May 2013 | Chinese Journal of Geophysics, Vol. 53, No. 4Phase‐shift time stepping for wavefield propagationBen D. Wards, Gary F. Margrave, and Michael P. Lamoureux21 October 2010Fourier finite‐difference wave propagationXiaolei Song and Sergey Fomel21 October 2010An optimized wave equation for seismic modeling and reverse time migrationFaqi Liu, Guanquan Zhang, Scott A. Morton, and Jacques P. Leveille15 December 2009 | GEOPHYSICS, Vol. 74, No. 6Rapid expansion method (REM) for time-stepping in reverse time migration (RTM)Reynam C. Pestana* and Paul L. Stoffa28 April 2014One-step extrapolation method for reverse time migrationYu Zhang and Guanquan Zhang19 May 2009 | GEOPHYSICS, Vol. 74, No. 43D elastic wave modeling using modified high‐order time stepping schemes with improved stability conditionsChunlei Chu, Paul L. Stoffa, and Roustam Seif14 October 2009Rapid expansion method (REM) for time‐stepping in reverse time migration (RTM)Reynam C. Pestana and Paul L. Stoffa14 October 2009 SEG Technical Program Expanded Abstracts 2008ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2008 Pages: 3713 publication data© 2008 Copyright © 2008 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished Online: 15 Dec 2008 CITATION INFORMATION Robert Soubaras and Yu Zhang, (2008), Two‐step explicit marching method for reverse time migration, SEG Technical Program Expanded Abstracts : 2272-2276. https://doi.org/10.1190/1.3059337 Plain-Language Summary PDF DownloadLoading ..." @default.
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