Dispersion‐relation‐preserving finite difference operators: derivation and application

Abstract

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2005Dispersion‐relation‐preserving finite difference operators: derivation and applicationAuthors: Fang YeChunlei ChuFang YeDepartment of Earth Sciences, Zhejiang University & Key Lab of Submarine Geosciences, SIO, SOASearch for more papers by this author and Chunlei ChuDepartment of Earth Sciences, Zhejiang University & Key Lab of Submarine Geosciences, SIO, SOASearch for more papers by this authorhttps://doi.org/10.1190/1.2148046 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract This paper discusses the construction of the dispersionrelation‐preserving (DRP) finite difference operators for the second derivative and their application for the numerical simulation of the acoustic wave propagation. The proposed operators, with enhanced dispersion properties, have the same stencil as the conventional finite difference method. Numerical tests on the 2‐D scalar wave equation show that 3 grid points at the Nyquist frequency are adequate for the forward modeling problem with the new derived 5‐point finite difference operator.Permalink: https://doi.org/10.1190/1.2148046FiguresReferencesRelatedDetailsCited ByDispersion‐relationship‐preserving seismic modelling using the cross‐rhombus stencil with the finite‐difference coefficients solved by an over‐determined linear system21 May 2020 | Geophysical Prospecting, Vol. 68, No. 6Determining finite difference weights for the acoustic wave equation by a new dispersion-relationship-preserving method2 October 2014 | Geophysical Prospecting, Vol. 63, No. 1Dispersion reducing finite difference coefficients for marine controlled source electromagnetic applicationDamir Pasalic, Michal Okoniewski, and Ray McGarry25 October 2012Fast seismic modeling and reverse time migration on a graphics processing unit cluster7 October 2011 | Concurrency and Computation: Practice and Experience, Vol. 24, No. 7Anisotropic elastic modeling on a Lebedev grid: Dispersion reduction and grid decouplingRay McGarry, Damir Pasalic, and Cen Ong25 May 2012A discontinuous mesh finite difference scheme for acoustic wave equationsDamir Pasalic and Ray McGarry21 October 2010Fast seismic modeling and Reverse Time Migration on a GPU clusterAn optimized staggered variable-grid finite-difference scheme and its application in cross-well acoustic survey26 March 2008 | Science Bulletin, Vol. 53, No. 6Computational strategies for reverse‐time migrationEric Dussaud, William W. Symes, Paul Williamson, Laurent Lemaistre, Paul Singer, Bertrand Denel, and Adam Cherrett15 December 2008 SEG Technical Program Expanded Abstracts 2005ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2005 Pages: 2668 publication data© 2005 Copyright © 2005 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 07 Dec 2005 CITATION INFORMATION Fang Ye and Chunlei Chu, (2005), "Dispersion‐relation‐preserving finite difference operators: derivation and application," SEG Technical Program Expanded Abstracts : 1783-1786. https://doi.org/10.1190/1.2148046 Plain-Language Summary PDF DownloadLoading ...