A dual formulation for time-domain wavefield reconstruction inversion

PreviousNext No AccessSEG Technical Program Expanded Abstracts 2019A dual formulation for time-domain wavefield reconstruction inversionAuthors: Gabrio RizzutiMathias LouboutinRongrong WangEmmanouil DaskalakisFelix HerrmannGabrio RizzutiGeorgia Institute of TechnologySearch for more papers by this author, Mathias LouboutinGeorgia Institute of TechnologySearch for more papers by this author, Rongrong WangMichigan State UniversitySearch for more papers by this author, Emmanouil DaskalakisUniversity of British Columbia; Search for more papers by this author, and Felix HerrmannGeorgia Institute of TechnologySearch for more papers by this authorhttps://doi.org/10.1190/segam2019-3216760.1 SectionsSupplemental MaterialAboutPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail AbstractWe illustrate a dual formulation for full-waveform inversion potentially apt to large 3-D problems. It is based on the optimization of the wave equation compliance, under the constraint of data misfit not exceeding a prescribed noise level. In the Lagrangian formulation, model and wavefield state variables are complemented with multipliers having the same dimension of data (“dual data” variables). Analogously to classical wavefield reconstruction inversion, the wavefield unknowns can be projected out in closed form, by solving a version of the augmented wave equation. This leads to a saddle-point problem whose variables are only model and dual data. As such, this formulation represents a model extension, and is potentially robust against local minima. The classical downsides of model extension methods and wavefield reconstruction inversion are here effectively mitigated: storage of the dual variables is affordable, the augmented wave equation is amenable to time-marching finite difference schemes, and no continuation strategy for penalty parameters is needed, with the prospect of 3-D applications.Presentation Date: Wednesday, September 18, 2019Session Start Time: 1:50 PMPresentation Time: 3:30 PMLocation: 225BPresentation Type: OralKeywords: full-waveform inversion, time-domain, 3DPermalink: https://doi.org/10.1190/segam2019-3216760.1FiguresReferencesRelatedDetailsCited byExtended-space full-waveform inversion in the time domain with the augmented Lagrangian methodAli Gholami, Hossein S. Aghamiry, and Stéphane Operto23 November 2021 | GEOPHYSICS, Vol. 87, No. 1Time-Domain Wavefield Reconstruction Inversion Solutions in the Weighted Full Waveform Inversion FormIEEE Transactions on Geoscience and Remote Sensing, Vol. 60A reflection-based efficient wavefield inversionChao Song and Tariq Alkhalifah1 July 2021 | GEOPHYSICS, Vol. 86, No. 4Data-Driven Modeling for Wave-Propagation22 August 2020A sequential inversion with outer iterations for the velocity and the intrinsic attenuation using an efficient wavefield inversionChao Song, Tariq Alkhalifah, and Yuanyuan Li13 October 2020 | GEOPHYSICS, Vol. 85, No. 6 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 Gabrio Rizzuti, Mathias Louboutin, Rongrong Wang, Emmanouil Daskalakis, and Felix Herrmann, (2019), "A dual formulation for time-domain wavefield reconstruction inversion," SEG Technical Program Expanded Abstracts : 1480-1485. https://doi.org/10.1190/segam2019-3216760.1 Plain-Language Summary Keywordsfull-waveform inversiontime-domain3DPDF DownloadLoading ...