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Perturbational and nonperturbational inversion of Rayleigh-wave velocities

Haney, Matthew M. and Tsai, Victor C. (2017) Perturbational and nonperturbational inversion of Rayleigh-wave velocities. Geophysics, 82 (3). F15-F28. ISSN 0016-8033. doi:10.1190/GEO2016-0397.1.

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The inversion of Rayleigh-wave dispersion curves is a classic geophysical inverse problem. We have developed a set of MATLAB codes that performs forward modeling and inversion of Rayleigh-wave phase or group velocity measurements. We describe two different methods of inversion: a perturbational method based on finite elements and a nonperturbational method based on the recently developed Dix-type relation for Rayleigh waves. In practice, the nonperturbational method can be used to provide a good starting model that can be iteratively improved with the perturbational method. Although the perturbational method is well-known, we solve the forward problem using an eigenvalue/eigenvector solver instead of the conventional approach of root finding. Features of the codes include the ability to handle any mix of phase or group velocity measurements, combinations of modes of any order, the presence of a surface water layer, computation of partial derivatives due to changes in material properties and layer boundaries, and the implementation of an automatic grid of layers that is optimally suited for the depth sensitivity of Rayleigh waves.

Item Type:Article
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Tsai, Victor C.0000-0003-1809-6672
Additional Information:© 2017 Society of Exploration Geophysicists. Manuscript received by the Editor 27 July 2016; published online 03 April 2017. Peer-reviewed code related to this article can be found at Comments by P. Dawson (USGS), E. Muyzert, and an anonymous reviewer have helped to improve this manuscript. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. government.
Group:Seismological Laboratory
Subject Keywords:surface wave, dispersion, inversion
Issue or Number:3
Record Number:CaltechAUTHORS:20170908-092450206
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Official Citation:Perturbational and nonperturbational inversion of Rayleigh-wave velocities Matthew M. Haney and Victor C. Tsai GEOPHYSICS 2017 82:3, F15-F28
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81262
Deposited By: Tony Diaz
Deposited On:08 Sep 2017 18:08
Last Modified:15 Nov 2021 19:42

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