Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient

Handle URI:
http://hdl.handle.net/10754/621591
Title:
Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient
Authors:
Zhang, Zhendong ( 0000-0003-4689-1577 ) ; Schuster, Gerard T. ( 0000-0001-7532-1587 ) ; Liu, Yike; Hanafy, Sherif M.; Li, Jing ( 0000-0002-7960-176X )
Abstract:
We present a surface-wave inversion method that inverts for the S-wave velocity from the Rayleigh wave dispersion curve using a difference approximation to the gradient of the misfit function. We call this wave equation inversion of skeletonized surface waves because the skeletonized dispersion curve for the fundamental-mode Rayleigh wave is inverted using finite-difference solutions to the multi-dimensional elastic wave equation. The best match between the predicted and observed dispersion curves provides the optimal S-wave velocity model. Our method can invert for lateral velocity variations and also can mitigate the local minimum problem in full waveform inversion with a reasonable computation cost for simple models. Results with synthetic and field data illustrate the benefits and limitations of this method. © 2016 Elsevier B.V.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Zhang Z, Schuster G, Liu Y, Hanafy SM, Li J (2016) Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient. Journal of Applied Geophysics 133: 9–15. Available: http://dx.doi.org/10.1016/j.jappgeo.2016.07.019.
Publisher:
Elsevier BV
Journal:
Journal of Applied Geophysics
Issue Date:
26-Jul-2016
DOI:
10.1016/j.jappgeo.2016.07.019
Type:
Article
ISSN:
0926-9851
Sponsors:
We thank KAUST and CSIM sponsors for their support. Zhang and Liu thank Tariq Alkhalifah for his help. We thank three reviewers for their valuable comments and suggestions. The research was partly funded by the National Nature Science Foundation of China (Grant No. 41430321).
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorZhang, Zhendongen
dc.contributor.authorSchuster, Gerard T.en
dc.contributor.authorLiu, Yikeen
dc.contributor.authorHanafy, Sherif M.en
dc.contributor.authorLi, Jingen
dc.date.accessioned2016-11-03T08:32:49Z-
dc.date.available2016-11-03T08:32:49Z-
dc.date.issued2016-07-26en
dc.identifier.citationZhang Z, Schuster G, Liu Y, Hanafy SM, Li J (2016) Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient. Journal of Applied Geophysics 133: 9–15. Available: http://dx.doi.org/10.1016/j.jappgeo.2016.07.019.en
dc.identifier.issn0926-9851en
dc.identifier.doi10.1016/j.jappgeo.2016.07.019en
dc.identifier.urihttp://hdl.handle.net/10754/621591-
dc.description.abstractWe present a surface-wave inversion method that inverts for the S-wave velocity from the Rayleigh wave dispersion curve using a difference approximation to the gradient of the misfit function. We call this wave equation inversion of skeletonized surface waves because the skeletonized dispersion curve for the fundamental-mode Rayleigh wave is inverted using finite-difference solutions to the multi-dimensional elastic wave equation. The best match between the predicted and observed dispersion curves provides the optimal S-wave velocity model. Our method can invert for lateral velocity variations and also can mitigate the local minimum problem in full waveform inversion with a reasonable computation cost for simple models. Results with synthetic and field data illustrate the benefits and limitations of this method. © 2016 Elsevier B.V.en
dc.description.sponsorshipWe thank KAUST and CSIM sponsors for their support. Zhang and Liu thank Tariq Alkhalifah for his help. We thank three reviewers for their valuable comments and suggestions. The research was partly funded by the National Nature Science Foundation of China (Grant No. 41430321).en
dc.publisherElsevier BVen
dc.subjectDispersion curveen
dc.titleWave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradienten
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Applied Geophysicsen
dc.contributor.institutionInstitute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, Chinaen
kaust.authorZhang, Zhendongen
kaust.authorSchuster, Gerard T.en
kaust.authorHanafy, Sherif M.en
kaust.authorLi, Jingen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.