Full-model wavenumber inversion: An emphasis on the appropriate wavenumber continuation

Handle URI:
http://hdl.handle.net/10754/606958
Title:
Full-model wavenumber inversion: An emphasis on the appropriate wavenumber continuation
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
A model of the earth can be described using a Fourier basis represented by its wavenumber content. In full-waveform inversion (FWI), the wavenumber description of the model is natural because our Born-approximation-based velocity updates are made up of wavefields. Our objective in FWI is to access all the model wavenumbers available in our limited aperture and bandwidth recorded data that are not yet accurately present in the initial velocity model. To invert for those model wavenumbers, we need to locate their imprint in the data. Thus, I review the relation between the model wavenumber buildup and the inversion process. Specifically, I emphasize a focus on the model wavenumber components and identified their individual influence on the data. Missing the energy for a single vertical low-model wavenumber from the residual between the true Marmousi model and some initial linearly increasing velocity model produced a worse least-squares fit to the data than the initial model itself, in which all the residual model wavenumbers were missing. This stern realization validated the importance of wavenumber continuation, specifically starting from the low-model wavenumbers, to higher (resolution) wavenumbers, especially those attained in an order dictated by the scattering angle filter. A numerical Marmousi example determined the important role that the scattering angle filter played in managing the wavenumber continuation from low to high. An application on the SEG2014 blind test data set with frequencies lower than 7 Hz muted out further validated the versatility of the scattering angle filtering.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Full-model wavenumber inversion: An emphasis on the appropriate wavenumber continuation 2016, 81 (3):R89 GEOPHYSICS
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
6-Apr-2016
DOI:
10.1190/geo2015-0537.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
I thank KAUST for its support. I am also grateful to Z. Wu and Y. Choi for useful discussions and some of the numerical examples. I thank Chevron for the SEG2014 data set. I also thank the associate editor and the reviewers for their outstanding review of the paper.
Additional Links:
http://library.seg.org/doi/10.1190/geo2015-0537.1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2016-04-25T13:42:18Zen
dc.date.available2016-04-25T13:42:18Zen
dc.date.issued2016-04-06en
dc.identifier.citationFull-model wavenumber inversion: An emphasis on the appropriate wavenumber continuation 2016, 81 (3):R89 GEOPHYSICSen
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/geo2015-0537.1en
dc.identifier.urihttp://hdl.handle.net/10754/606958en
dc.description.abstractA model of the earth can be described using a Fourier basis represented by its wavenumber content. In full-waveform inversion (FWI), the wavenumber description of the model is natural because our Born-approximation-based velocity updates are made up of wavefields. Our objective in FWI is to access all the model wavenumbers available in our limited aperture and bandwidth recorded data that are not yet accurately present in the initial velocity model. To invert for those model wavenumbers, we need to locate their imprint in the data. Thus, I review the relation between the model wavenumber buildup and the inversion process. Specifically, I emphasize a focus on the model wavenumber components and identified their individual influence on the data. Missing the energy for a single vertical low-model wavenumber from the residual between the true Marmousi model and some initial linearly increasing velocity model produced a worse least-squares fit to the data than the initial model itself, in which all the residual model wavenumbers were missing. This stern realization validated the importance of wavenumber continuation, specifically starting from the low-model wavenumbers, to higher (resolution) wavenumbers, especially those attained in an order dictated by the scattering angle filter. A numerical Marmousi example determined the important role that the scattering angle filter played in managing the wavenumber continuation from low to high. An application on the SEG2014 blind test data set with frequencies lower than 7 Hz muted out further validated the versatility of the scattering angle filtering.en
dc.description.sponsorshipI thank KAUST for its support. I am also grateful to Z. Wu and Y. Choi for useful discussions and some of the numerical examples. I thank Chevron for the SEG2014 data set. I also thank the associate editor and the reviewers for their outstanding review of the paper.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2015-0537.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.subjectfull-waveform inversionen
dc.subjectwave equationen
dc.subjectvelocity analysisen
dc.titleFull-model wavenumber inversion: An emphasis on the appropriate wavenumber continuationen
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.authorAlkhalifah, Tariq Alien
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