Sparseness‐constrained data continuation with frames: applications to missing traces and aliased signals in 2/3‐D

Abstract

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2005Sparseness‐constrained data continuation with frames: applications to missing traces and aliased signals in 2/3‐DAuthors: Gilles HennenfentFelix HerrmannGilles HennenfentUniversity of British Columbia, Department of Earth and Ocean SciencesSearch for more papers by this author and Felix HerrmannUniversity of British Columbia, Department of Earth and Ocean SciencesSearch for more papers by this authorhttps://doi.org/10.1190/1.2148142 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract We present a robust iterative sparseness‐constrained interpolation algorithm using 2‐/3‐D curvelet frames and Fourier‐like transforms that exploits continuity along reflectors in seismic data. By choosing generic transforms, we circumvent the necessity to make parametric assumptions (e.g. through linear/parabolic Radon or demigration) regarding the shape of events in seismic data. Simulation and real data examples for data with moderately sized gaps demonstrate that our algorithm provides interpolated traces that accurately reproduce the wavelet shape as well as the AVO behavior. Our method also shows good results for de‐aliasing judged by the behavior of the (f-k)‐spectrum before and after regularization.Permalink: https://doi.org/10.1190/1.2148142FiguresReferencesRelatedDetailsCited ByReconstruction of the near‐offset gap in marine seismic data using seismic interferometric interpolation1 December 2017 | Geophysical Prospecting, Vol. 66, No. S1Appraisal problem in the 3D least squares Fourier seismic data reconstruction30 October 2014 | Geophysical Prospecting, Vol. 63, No. 2ParNes: a rapidly convergent algorithm for accurate recovery of sparse and approximately sparse signals1 December 2012 | Numerical Algorithms, Vol. 64, No. 2Improved wavefield reconstruction from randomized sampling via weighted one-norm minimizationGEOPHYSICS, Vol. 78, No. 5Curvelet-based POCS interpolation of nonuniformly sampled seismic recordsJournal of Applied Geophysics, Vol. 79Simply denoise: Wavefield reconstruction via jittered undersamplingGEOPHYSICS, Vol. 73, No. 3Application of stable signal recovery to seismic data interpolationGilles Hennenfent and Felix J. Herrmann6 October 2006 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 Gilles Hennenfent and Felix Herrmann, (2005), "Sparseness‐constrained data continuation with frames: applications to missing traces and aliased signals in 2/3‐D," SEG Technical Program Expanded Abstracts : 2162-2165. https://doi.org/10.1190/1.2148142 Plain-Language Summary PDF DownloadLoading ...