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- W2329712390 abstract "PreviousNext No AccessSEG Technical Program Expanded Abstracts 2014Chebyshev expansion applied to the one-step wave extrapolation matrixAuthors: Reynam C. Pestana*Reynam C. Pestana*CPGG/UFBA and INCT-GP/CNPQSearch for more papers by this authorhttps://doi.org/10.1190/segam2014-0377.1 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract A new method of solving the acoustic one-step wave extrapolation matrix is proposed. In our method the analytical wavefield is separated in its real and imaginary parts and the first-order coupled set of equations is solved by the Tal-Ezer's technique, and Chebyshev expansion is used to approximate the extrapolate operator eAΔt, where A is an anti-symmetrical matrix and the pseudodifferential operator Ф is computed using the Fourier method. Thus, the proposed numerical algorithm can handle any velocity variation. Its implementation is straightforward and if an appropriate number of terms of the series expansion is chosen, the method is unconditionally stable and propagates seismic waves free of numerical dispersion. In our method the number of FFTs is explicitly determined and it is function of the maximum eigenvalue of the matrix A. Numerical modeling examples are shown to demonstrate that the proposed method has the capability to extrapolate waves in time using a time step up to Nyquist limit. Keywords: Fourier, acoustic, modeling, seismic, wave equationPermalink: https://doi.org/10.1190/segam2014-0377.1FiguresReferencesRelatedDetails SEG Technical Program Expanded Abstracts 2014ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2014 Pages: 5183 publication data© 2014 Published in electronic format with permission by the Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 05 Aug 2014 CITATION INFORMATION Reynam C. Pestana*, (2014), Chebyshev expansion applied to the one-step wave extrapolation matrix, SEG Technical Program Expanded Abstracts : 3449-3453. https://doi.org/10.1190/segam2014-0377.1 Plain-Language Summary KeywordsFourieracousticmodelingseismicwave equationPDF DownloadLoading ..." @default.
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