Non-perturbational surface-wave inversion: A Dix-type relation for surface waves

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We extend the approach underlying the well-known Dix equation in reflection seismology to surface waves. Within the context of surface wave inversion, the Dix-type relation we derive for surface waves allows accurate depth profiles of shear-wave velocity to be constructed directly from phase velocity data, in contrast to perturbational methods. The depth profiles can subsequently be used as an initial model for nonlinear inversion. We provide examples of the Dix-type relation for under-parameterized and over-parameterized cases. In the under-parameterized case, we use the theory to estimate crustal thickness, crustal shear-wave velocity, and mantle shear-wave velocity across the Western U.S. from phase velocity maps measured at 8-, 20-, and 40-s periods. By adopting a thin-layer formalism and an over-parameterized model, we show how a regularized inversion based on the Dix-type relation yields smooth depth profiles of shear-wave velocity. In the process, we quantitatively demonstrate the depth sensitivity of surface-wave phase velocity as a function of frequency and the accuracy of the Dix-type relation. We apply the over-parameterized approach to a near-surface data set within the frequency band from 5 to 40 Hz and find overall agreement between the inverted model and the result of full nonlinear inversion.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Non-perturbational surface-wave inversion: A Dix-type relation for surface waves
Series title Geophysics
DOI 10.1190/geo2014-0612.1
Volume 80
Issue 6
Year Published 2015
Language English
Publisher Society of Exploration Geophysicists
Contributing office(s) Volcano Science Center
Description 11 p.
First page EN167
Last page EN177