A new parameterization for waveform inversion in acoustic orthorhombic media

Handle URI:
http://hdl.handle.net/10754/614404
Title:
A new parameterization for waveform inversion in acoustic orthorhombic media
Authors:
Masmoudi, Nabil; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Orthorhombic anisotropic model inversion is extra challenging because of the multiple parameter nature of the inversion problem. The high number of parameters required to describe the medium exerts considerable trade-off and additional nonlinearity to a full-waveform inversion (FWI) application. Choosing a suitable set of parameters to describe the model and designing an effective inversion strategy can help in mitigating this problem. Using the Born approximation, which is the central ingredient of the FWI update process, we have derived radiation patterns for the different acoustic orthorhombic parameterizations. Analyzing the angular dependence of scattering (radiation patterns) of the parameters of different parameterizations starting with the often used Thomsen-Tsvankin parameterization, we have assessed the potential trade-off between the parameters and the resolution in describing the data and inverting for the parameters. The analysis led us to introduce new parameters ϵd, δd, and ηd, which have azimuthally dependent radiation patterns, but keep the scattering potential of the transversely isotropic parameters stationary with azimuth (azimuth independent). The novel parameters ϵd, δd, and ηd are dimensionless and represent a measure of deviation between the vertical planes in orthorhombic anisotropy. Therefore, these deviation parameters offer a new parameterization style for an acoustic orthorhombic medium described by six parameters: three vertical transversely isotropic (VTI) parameters, two deviation parameters, and one parameter describing the anisotropy in the horizontal symmetry plane. The main feature of any parameterization based on the deviation parameters, is the azimuthal independency of the modeled data with respect to the VTI parameters, which allowed us to propose practical inversion strategies based on our experience with the VTI parameters. This feature of the new parameterization style holds for even the long-wavelength components of the model constrained by traveltimes.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
A new parameterization for waveform inversion in acoustic orthorhombic media 2016, 81 (4):R157 GEOPHYSICS
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
26-May-2016
DOI:
10.1190/geo2015-0635.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
We would like to thank KAUST for financial support. We thank R. Djebbi and U. bin Waheed for many useful discussions. We are also grateful to the associate editor, A. Stovas and two anonymous reviewers for their critical and helpful review of the paper.
Additional Links:
http://library.seg.org/doi/10.1190/geo2015-0635.1
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorMasmoudi, Nabilen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2016-06-23T10:39:05Z-
dc.date.available2016-06-23T10:39:05Z-
dc.date.issued2016-05-26-
dc.identifier.citationA new parameterization for waveform inversion in acoustic orthorhombic media 2016, 81 (4):R157 GEOPHYSICSen
dc.identifier.issn0016-8033-
dc.identifier.issn1942-2156-
dc.identifier.doi10.1190/geo2015-0635.1-
dc.identifier.urihttp://hdl.handle.net/10754/614404-
dc.description.abstractOrthorhombic anisotropic model inversion is extra challenging because of the multiple parameter nature of the inversion problem. The high number of parameters required to describe the medium exerts considerable trade-off and additional nonlinearity to a full-waveform inversion (FWI) application. Choosing a suitable set of parameters to describe the model and designing an effective inversion strategy can help in mitigating this problem. Using the Born approximation, which is the central ingredient of the FWI update process, we have derived radiation patterns for the different acoustic orthorhombic parameterizations. Analyzing the angular dependence of scattering (radiation patterns) of the parameters of different parameterizations starting with the often used Thomsen-Tsvankin parameterization, we have assessed the potential trade-off between the parameters and the resolution in describing the data and inverting for the parameters. The analysis led us to introduce new parameters ϵd, δd, and ηd, which have azimuthally dependent radiation patterns, but keep the scattering potential of the transversely isotropic parameters stationary with azimuth (azimuth independent). The novel parameters ϵd, δd, and ηd are dimensionless and represent a measure of deviation between the vertical planes in orthorhombic anisotropy. Therefore, these deviation parameters offer a new parameterization style for an acoustic orthorhombic medium described by six parameters: three vertical transversely isotropic (VTI) parameters, two deviation parameters, and one parameter describing the anisotropy in the horizontal symmetry plane. The main feature of any parameterization based on the deviation parameters, is the azimuthal independency of the modeled data with respect to the VTI parameters, which allowed us to propose practical inversion strategies based on our experience with the VTI parameters. This feature of the new parameterization style holds for even the long-wavelength components of the model constrained by traveltimes.en
dc.description.sponsorshipWe would like to thank KAUST for financial support. We thank R. Djebbi and U. bin Waheed for many useful discussions. We are also grateful to the associate editor, A. Stovas and two anonymous reviewers for their critical and helpful review of the paper.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2015-0635.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.subjectinverse theoryen
dc.subjectseismic anisotropyen
dc.subjectwave propagationen
dc.titleA new parameterization for waveform inversion in acoustic orthorhombic mediaen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorMasmoudi, Nabilen
kaust.authorAlkhalifah, Tariq Alien
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