A hybrid regularization scheme combining Tikhonov stabilizer with Cauchy function for multiscale frequency domain full-waveform inversion

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2019A hybrid regularization scheme combining Tikhonov stabilizer with Cauchy function for multiscale frequency domain full-waveform inversionAuthors: Raphael C. L. RêgoCarlos A. N. da CostaEdwin F. DuarteSérgio L. E. F. da SilvaJoão M. de AraújoWilliams A. LimaRaphael C. L. RêgoFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this author, Carlos A. N. da CostaFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this author, Edwin F. DuarteFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this author, Sérgio L. E. F. da SilvaFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this author, João M. de AraújoFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this author, and Williams A. LimaFederal University of Rio Grande do NorteObservatório NacionalSearch for more papers by this authorhttps://doi.org/10.1190/segam2019-3216751.1 SectionsAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail AbstractFull-waveform inversion technique is an ill-posed seismic inverse problem, which requires some regularization methods to make it well-posed. In addition, this technique is an inversion problem with a strong nonlinearity, which should be attenuate whenever possible to increase its chances of converging toward the global minimum. In this work, we propose a hybrid regularization scheme combining Tikhonov stabilizer with Cauchy function for multiscale frequency domain fullwaveform inversion. This hybrid stabilizer may be an appropriate constraint to recover quantitative models of the subsurface composed with smoothly-varying regions and zones with strong contrasts of physical parameters. Furthermore, in order to mitigate the nonlinearity of this inversion technique, we have adopted the multiscale inversion strategy, where the inversion is performed sequentially by moving from low to high frequencies. In addition, to improve the computational performance of the inversion process, we have used the strategy of selecting temporal frequencies based on the relation between offset and depth to select the temporal frequencies inverted in each group. Numerical examples carried out with a synthetic model demonstrates that the inverted model by our scheme is a solution that is strongly influenced by the Cauchy regularization term, but with a more mitigated under-smoothing effect.Presentation Date: Tuesday, September 17, 2019Session Start Time: 1:50 PMPresentation Time: 2:15 PMLocation: Poster Station 8Presentation Type: PosterKeywords: inversion, full-waveform inversion, frequency-domain, multiscale, acousticPermalink: https://doi.org/10.1190/segam2019-3216751.1FiguresReferencesRelatedDetails SEG Technical Program Expanded Abstracts 2019ISSN (print):1052-3812 ISSN (online):1949-4645Copyright: 2019 Pages: 5407 publication data© 2019 Published in electronic format with permission by the Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryPublished Online: 10 Aug 2019 CITATION INFORMATION Raphael C. L. Rêgo, Carlos A. N. da Costa, Edwin F. Duarte, Sérgio L. E. F. da Silva, João M. de Araújo, and Williams A. Lima, (2019), "A hybrid regularization scheme combining Tikhonov stabilizer with Cauchy function for multiscale frequency domain full-waveform inversion," SEG Technical Program Expanded Abstracts : 1630-1634. https://doi.org/10.1190/segam2019-3216751.1 Plain-Language Summary Keywordsinversionfull-waveform inversionfrequency-domainmultiscaleacousticPDF DownloadLoading ...