Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
MetadataShow full item record
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.
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.
SponsorsWe 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).
JournalJournal of Applied Geophysics