High‐resolution three‐term AVO inversion via a Trivariate Cauchy probability distribution

Abstract

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2010High‐resolution three‐term AVO inversion via a Trivariate Cauchy probability distributionAuthors: Wubshet AlemieMauricio SacchiWubshet AlemieUniversity of AlbertaSearch for more papers by this author and Mauricio SacchiUniversity of AlbertaSearch for more papers by this authorhttps://doi.org/10.1190/1.3513746 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail Abstract Three‐term AVO inversion can be used to estimate P‐wave and S‐wave velocities and, in addition, density. The density term, however, exhibits little sensitivity to amplitudes and therefore, its inversion is unstable. One way to stabilize the density term is by including a scale matrix that provides correlation information between the 3 unknown AVO parameters. In this article, we investigate a Bayesian procedure to include sparsity and a scale matrix in the three‐term AVO inversion problem. To this end, we model the prior distribution of the AVO parameters via a Trivariate Cauchy distribution. We present an iterative algorithm to solve the Bayesian inversion and, in addition, we provide comparisons with the classical inversion approach that uses a Multivariate Gaussian prior. It is important to point out that the Multivariate Gaussian prior allows us to include the correlation of the AVO parameters in the solution of the inverse problem. The Trivariate Cauchy prior not only permits us to incorporate correlation but also leads to high resolution (broadband) P‐wave, S‐wave velocities and density perturbations.Permalink: https://doi.org/10.1190/1.3513746FiguresReferencesRelatedDetailsCited ByEstimating tilted fracture weaknesses from azimuthal differences in seismic amplitude dataGEOPHYSICS, Vol. 85, No. 3Three-term inversion of prestack seismic data using a weighted l2, 1 mixed norm20 February 2017 | Geophysical Prospecting, Vol. 65, No. 6Joint PP and PS AVO inversion based on Bayes theorem29 December 2011 | Applied Geophysics, Vol. 8, No. 4High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distributionGEOPHYSICS, Vol. 76, No. 3 SEG Technical Program Expanded Abstracts 2010ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2010 Pages: 4453 publication data© 2010 Copyright © 2010 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished: 21 Oct 2010 CITATION INFORMATION Wubshet Alemie and Mauricio Sacchi, (2010), "High‐resolution three‐term AVO inversion via a Trivariate Cauchy probability distribution," SEG Technical Program Expanded Abstracts : 420-424. https://doi.org/10.1190/1.3513746 Plain-Language Summary PDF DownloadLoading ...