Asymptotic solution of wavefield continuation problem in the ray parametric coordinates

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2017Asymptotic solution of wavefield continuation problem in the ray parametric coordinatesAuthors: Alexander PleshkevichSergey KhilkovAnton IvanovAlexander PleshkevichCGE JSCSearch for more papers by this author, Sergey KhilkovCGE JSCSearch for more papers by this author, and Anton IvanovKIAM RASSearch for more papers by this authorhttps://doi.org/10.1190/segam2017-17633541.1 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract A new simple asymptotic method for a wavefield continuation problem with a multipath ray propagation and arbitrary caustics in inhomogeneous media is proposed. The method is based on the asymptotic approximation of general form of the integral solution of a wavefield continuation problem with Dirichlet boundary condition. The general form of the solution in ray parametric coordinates based on ray Green's function allows one to obtain a solution that does not contain singularities of the integrand. The numerical implementation of the solution is connected with the adaptive calculation of beam fans for point sources, as well as accumulated beam indices, with which the total angle of phase rotation of the waves is related. The proposed asymptotic method can be used as a basis for the implementation of multiarrival prestack 3D depth migration. Presentation Date: Thursday, September 28, 2017 Start Time: 10:35 AM Location: 360D Presentation Type: ORAL Keywords: wave equation, 3D, beam, depth migration, ray tracingPermalink: https://doi.org/10.1190/segam2017-17633541.1FiguresReferencesRelatedDetailsCited byKirchhoff-Type Implementation of Multi-Arrival 3-D Seismic Depth Migration with Amplitudes Preserved4 December 2020 SEG Technical Program Expanded Abstracts 2017ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2017 Pages: 6093 publication data© 2017 Published in electronic format with permission by the Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished Online: 17 Aug 2017 CITATION INFORMATION Alexander Pleshkevich, Sergey Khilkov, and Anton Ivanov, (2017), "Asymptotic solution of wavefield continuation problem in the ray parametric coordinates," SEG Technical Program Expanded Abstracts : 5551-5555. https://doi.org/10.1190/segam2017-17633541.1 Plain-Language Summary Keywordswave equation3Dbeamdepth migrationray tracingPDF DownloadLoading ...