Sensitivity analysis for elastic full-waveform inversion in VTI media

Handle URI:
http://hdl.handle.net/10754/599593
Title:
Sensitivity analysis for elastic full-waveform inversion in VTI media
Authors:
Kamath, Nishant; Tsvankin, Ilya
Abstract:
Multiparameter full-waveform inversion (FWI) is generally nonunique, and the results are strongly influenced by the geometry of the experiment and the type of recorded data. Studying the sensitivity of different subsets of data to the model parameters may help in choosing an optimal acquisition design, inversion workflow, and parameterization. Here, we derive the Fréchet kernel for FWI of multicomponent data from a 2D VTI (tranversely isotropic with a vertical symmetry axis) medium. The kernel is obtained by linearizing the elastic wave equation using the Born approximation and employing the asymptotic Green's function. The amplitude of the kernel (‘radiation pattern’) yields the angle-dependent energy scattered by a perturbation in a certain model parameter. The perturbations are described in terms of the P- and S-wave vertical velocities and the P-wave normal-moveout and horizontal velocities. The background medium is assumed to be homogeneous and isotropic, which allows us to obtain simple expressions for the radiation patterns corresonding to all four velocities. These patterns help explain the FWI results for multicomponent transmission data generated for Gaussian anomalies in the Thomsen parameters inserted into a homogeneous VTI medium.
Citation:
Kamath N, Tsvankin I (2014) Sensitivity analysis for elastic full-waveform inversion in VTI media. SEG Technical Program Expanded Abstracts 2014. Available: http://dx.doi.org/10.1190/segam2014-0875.1.
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2014
Issue Date:
5-Aug-2014
DOI:
10.1190/segam2014-0875.1
Type:
Conference Paper
Sponsors:
We are grateful to the members of the A(nisotropy) team atCWP, Tariq Alkhalifah (KAUST), and Andreas R¨uger (LandmarkGraphics) for fruitful discussions. This work was supportedby the Consortium Project on Seismic Inverse Methodsfor Complex Structures at CWP and by the CIMMM Projectof the Unconventional Natural Gas Institute at CSM.
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Full metadata record

DC FieldValue Language
dc.contributor.authorKamath, Nishanten
dc.contributor.authorTsvankin, Ilyaen
dc.date.accessioned2016-02-28T05:53:58Zen
dc.date.available2016-02-28T05:53:58Zen
dc.date.issued2014-08-05en
dc.identifier.citationKamath N, Tsvankin I (2014) Sensitivity analysis for elastic full-waveform inversion in VTI media. SEG Technical Program Expanded Abstracts 2014. Available: http://dx.doi.org/10.1190/segam2014-0875.1.en
dc.identifier.doi10.1190/segam2014-0875.1en
dc.identifier.urihttp://hdl.handle.net/10754/599593en
dc.description.abstractMultiparameter full-waveform inversion (FWI) is generally nonunique, and the results are strongly influenced by the geometry of the experiment and the type of recorded data. Studying the sensitivity of different subsets of data to the model parameters may help in choosing an optimal acquisition design, inversion workflow, and parameterization. Here, we derive the Fréchet kernel for FWI of multicomponent data from a 2D VTI (tranversely isotropic with a vertical symmetry axis) medium. The kernel is obtained by linearizing the elastic wave equation using the Born approximation and employing the asymptotic Green's function. The amplitude of the kernel (‘radiation pattern’) yields the angle-dependent energy scattered by a perturbation in a certain model parameter. The perturbations are described in terms of the P- and S-wave vertical velocities and the P-wave normal-moveout and horizontal velocities. The background medium is assumed to be homogeneous and isotropic, which allows us to obtain simple expressions for the radiation patterns corresonding to all four velocities. These patterns help explain the FWI results for multicomponent transmission data generated for Gaussian anomalies in the Thomsen parameters inserted into a homogeneous VTI medium.en
dc.description.sponsorshipWe are grateful to the members of the A(nisotropy) team atCWP, Tariq Alkhalifah (KAUST), and Andreas R¨uger (LandmarkGraphics) for fruitful discussions. This work was supportedby the Consortium Project on Seismic Inverse Methodsfor Complex Structures at CWP and by the CIMMM Projectof the Unconventional Natural Gas Institute at CSM.en
dc.publisherSociety of Exploration Geophysicistsen
dc.titleSensitivity analysis for elastic full-waveform inversion in VTI mediaen
dc.typeConference Paperen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2014en
dc.contributor.institutionColorado School of Minesen
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