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• W1993839897 abstract "PreviousNext No AccessSEG Technical Program Expanded Abstracts 2007The role of the direct wave and Green's theorem in seismic interferometry and spurious multiplesAuthors: Adriana C. RamirezArthur B. WegleinEinar OtnesKetil HokstadAdriana C. RamirezM‐OSRP University of HoustonSearch for more papers by this author, Arthur B. WegleinM‐OSRP University of HoustonSearch for more papers by this author, Einar OtnesStatoil Research CenterSearch for more papers by this author, and Ketil HokstadStatoil Research CenterSearch for more papers by this authorhttps://doi.org/10.1190/1.2792980 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract Techniques to estimate the Green's function between two measured points using wavefield correlations and/or crosscorrelations are classified as seismic interferometry. In this paper we provide a unifying framework for understanding a broad class of interferometric techniques using Green's theorem. This framework and foundation allows spurious multiples that occur in certain interferometric approaches to be anticipated and fully explain as a consequence of approximations and compromises made within Green's theorem. We also develop a set of more effective seismic interferometry methods, where fewer compromises effect in a better result. Standard seismic interferometry is based on far‐field and one‐way approximations of the Green's theorem relating two wavefield measurements in the same volume. This method, when applied to surface seismic data, reconstructs the wavefield with a squared source signature and adds spurious multiples, whose amplitudes are comparable to the reconstructed primaries. The artefacts introduced, reduce the method's value. The spurious multiples come from the approximations made to avoid the need of the wavefield's normal derivative. We propose and examine various alternative approaches to seismic interferometry which overcome the appearance of spurious multiples and provides an improvement over traditional methods. One method uses Green's theorem relating a reference Green's function with the measured wavefield. The data are reconstructed without spurious multiples and with a wavelet due to a single source. A synthesized wavefield ought to have a single factor of the wavelet. Using an analytic reference Green's function, data can be extrapolated to positions where no receivers or sources were located. In addition, we provide another form of Green's theorem by imposing a two‐surface Dirichlet boundary condition to the reference Green's function; this method only requires the total wavefield. The normal derivative of the field is not needed.Permalink: https://doi.org/10.1190/1.2792980FiguresReferencesRelatedDetailsCited ByReconstruction of the near‐offset gap in marine seismic data using seismic interferometric interpolation1 December 2017 | Geophysical Prospecting, Vol. 66, No. S1Green’s theorem as a comprehensive framework for data reconstruction, regularization, wavefield separation, seismic interferometry, and wavelet estimation: A tutorialGEOPHYSICS, Vol. 74, No. 6Interferometric interpolation of missing seismic dataGEOPHYSICS, Vol. 74, No. 3Interferometry by deconvolution: Part 1 — Theory for acoustic waves and numerical examplesGEOPHYSICS, Vol. 73, No. 3The underlying unity of distinct processing algorithms for: (1) the removal of free surface and internal multiples, (2) Q compensation (without Q), (3) depth imaging, and (4) nonlinear AVO, that derive from the inverse scattering seriesA. B. Weglein, A. C. Ramírez, K. A. Innanen, F. Liu, J. E. Lira, and S. Jiang15 December 2008Deriving, explicating, and extending interferometric methods using Green's theoremAdriana Citlali Ramírez and Arthur B. Weglein15 December 2008 SEG Technical Program Expanded Abstracts 2007ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2007 Pages: 3124 publication data© 2007 Copyright © 2007 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 14 Sep 2007 CITATION INFORMATION Adriana C. Ramirez, Arthur B. Weglein, Einar Otnes, and Ketil Hokstad, (2007), The role of the direct wave and Green's theorem in seismic interferometry and spurious multiples, SEG Technical Program Expanded Abstracts : 2471-2475. https://doi.org/10.1190/1.2792980 Plain-Language Summary PDF DownloadLoading ..." @default.
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