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

Zhendong Zhang; Gerard T. Schuster; Yike Liu; Sherif M. Hanafy; Jing Li

doi:10.1016/j.jappgeo.2016.07.019

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

Zhendong Zhang, Gerard T. Schuster, Yike Liu, Sherif M. Hanafy, Jing Li

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

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.

Original language	English (US)
Pages (from-to)	9-15
Number of pages	7
Journal	Journal of Applied Geophysics
Volume	133
DOIs	https://doi.org/10.1016/j.jappgeo.2016.07.019
State	Published - Jul 26 2016

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title = "Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient",

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. {\textcopyright} 2016 Elsevier B.V.",

author = "Zhendong Zhang and Schuster, {Gerard T.} and Yike Liu and Hanafy, {Sherif M.} and Jing Li",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).",

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doi = "10.1016/j.jappgeo.2016.07.019",

language = "English (US)",

volume = "133",

pages = "9--15",

journal = "Journal of Applied Geophysics",

issn = "0926-9851",

publisher = "Elsevier B.V.",

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T1 - Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient

AU - Zhang, Zhendong

AU - Schuster, Gerard T.

AU - Liu, Yike

AU - Hanafy, Sherif M.

AU - Li, Jing

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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).

PY - 2016/7/26

Y1 - 2016/7/26

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/621591

UR - https://linkinghub.elsevier.com/retrieve/pii/S092698511630204X

UR - http://www.scopus.com/inward/record.url?scp=84979626704&partnerID=8YFLogxK

U2 - 10.1016/j.jappgeo.2016.07.019

DO - 10.1016/j.jappgeo.2016.07.019

M3 - Article

SN - 0926-9851

VL - 133

SP - 9

EP - 15

JO - Journal of Applied Geophysics

JF - Journal of Applied Geophysics

ER -

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

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