Wave-equation dispersion inversion

Handle URI:
http://hdl.handle.net/10754/623009
Title:
Wave-equation dispersion inversion
Authors:
Li, Jing ( 0000-0002-7960-176X ) ; Feng, Zongcai; Schuster, Gerard T. ( 0000-0001-7532-1587 )
Abstract:
We present the theory for wave-equation inversion of dispersion curves, where the misfit function is the sum of the squared differences between the wavenumbers along the predicted and observed dispersion curves. The dispersion curves are obtained from Rayleigh waves recorded by vertical-component geophones. Similar to wave-equation traveltime tomography, the complicated surface wave arrivals in traces are skeletonized as simpler data, namely the picked dispersion curves in the phase-velocity and frequency domains. Solutions to the elastic wave equation and an iterative optimization method are then used to invert these curves for 2-D or 3-D S-wave velocity models. This procedure, denoted as wave-equation dispersion inversion (WD), does not require the assumption of a layered model and is significantly less prone to the cycle-skipping problems of full waveform inversion. The synthetic and field data examples demonstrate that WD can approximately reconstruct the S-wave velocity distributions in laterally heterogeneous media if the dispersion curves can be identified and picked. The WD method is easily extended to anisotropic data and the inversion of dispersion curves associated with Love waves.
KAUST Department:
King Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, , Saudi Arabia
Citation:
Li J, Feng Z, Schuster G (2016) Wave-equation dispersion inversion. Geophysical Journal International 208: 1567–1578. Available: http://dx.doi.org/10.1093/gji/ggw465.
Publisher:
Oxford University Press (OUP)
Journal:
Geophysical Journal International
KAUST Grant Number:
OCRF-2014-CRG3-2300
Issue Date:
8-Dec-2016
DOI:
10.1093/gji/ggw465
Type:
Article
ISSN:
0956-540X; 1365-246X
Sponsors:
We thank the financial support from the sponsors of the Consortium of Subsurface Imaging and Fluid Modeling (CSIM). We also thank KAUST for providing funding by the CRG grantOCRF-2014-CRG3-2300. For computer time, this research used the resources of the IT Research Computing Group and the Supercomputing Laboratory at KAUST. We thank them for providing the computational resources required for carrying out this work.
Additional Links:
https://academic.oup.com/gji/article-lookup/doi/10.1093/gji/ggw465
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Jingen
dc.contributor.authorFeng, Zongcaien
dc.contributor.authorSchuster, Gerard T.en
dc.date.accessioned2017-03-15T07:15:28Z-
dc.date.available2017-03-15T07:15:28Z-
dc.date.issued2016-12-08en
dc.identifier.citationLi J, Feng Z, Schuster G (2016) Wave-equation dispersion inversion. Geophysical Journal International 208: 1567–1578. Available: http://dx.doi.org/10.1093/gji/ggw465.en
dc.identifier.issn0956-540Xen
dc.identifier.issn1365-246Xen
dc.identifier.doi10.1093/gji/ggw465en
dc.identifier.urihttp://hdl.handle.net/10754/623009-
dc.description.abstractWe present the theory for wave-equation inversion of dispersion curves, where the misfit function is the sum of the squared differences between the wavenumbers along the predicted and observed dispersion curves. The dispersion curves are obtained from Rayleigh waves recorded by vertical-component geophones. Similar to wave-equation traveltime tomography, the complicated surface wave arrivals in traces are skeletonized as simpler data, namely the picked dispersion curves in the phase-velocity and frequency domains. Solutions to the elastic wave equation and an iterative optimization method are then used to invert these curves for 2-D or 3-D S-wave velocity models. This procedure, denoted as wave-equation dispersion inversion (WD), does not require the assumption of a layered model and is significantly less prone to the cycle-skipping problems of full waveform inversion. The synthetic and field data examples demonstrate that WD can approximately reconstruct the S-wave velocity distributions in laterally heterogeneous media if the dispersion curves can be identified and picked. The WD method is easily extended to anisotropic data and the inversion of dispersion curves associated with Love waves.en
dc.description.sponsorshipWe thank the financial support from the sponsors of the Consortium of Subsurface Imaging and Fluid Modeling (CSIM). We also thank KAUST for providing funding by the CRG grantOCRF-2014-CRG3-2300. For computer time, this research used the resources of the IT Research Computing Group and the Supercomputing Laboratory at KAUST. We thank them for providing the computational resources required for carrying out this work.en
dc.publisherOxford University Press (OUP)en
dc.relation.urlhttps://academic.oup.com/gji/article-lookup/doi/10.1093/gji/ggw465en
dc.rightsThis article has been accepted for publication in Geophysical Journal International Published by Oxford University Press on behalf of the Royal Astronomical Society.en
dc.subjectInverse theoryen
dc.subjectSeismic tomographyen
dc.subjectSurface waves and free oscillationsen
dc.titleWave-equation dispersion inversionen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology (KAUST), Thuwal, 23955-6900, , Saudi Arabiaen
dc.identifier.journalGeophysical Journal Internationalen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorLi, Jingen
kaust.authorFeng, Zongcaien
kaust.authorSchuster, Gerard T.en
kaust.grant.numberOCRF-2014-CRG3-2300en
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