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A perturbation scheme for obtaining partial derivatives of Love-wave group-velocity dispersion

Kosloff, Dan (1975) A perturbation scheme for obtaining partial derivatives of Love-wave group-velocity dispersion. Bulletin of the Seismological Society of America, 65 (6). pp. 1753-1760. ISSN 0037-1106.

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A method is derived for obtaining partial derivatives of Love-wave group-velocity spectra for a layered medium using a second-order perturbation theory. These partials are a prerequisite for systematic inversion of group-velocity spectra but they are helpful as well in trial and error methods. Mathematically the equation of motion and boundary conditions for Love waves are a singular Sturm Liouville type eigenvalue problem. In the case of a fixed wave number, the eigenvalues are the negative of the square of the frequencies. Thus, by expressing the first- and second-order perturbations of the eigenvalues in terms of partial derivatives of the frequency with respect to the wave number and material parameters of the medium, one can relate these perturbations to group-velocity partials. The scheme should be relatively economical and easy to incorporate in Love-wave dispersion codes.

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Additional Information:© 1975 Seismological Society of America. Manuscript received February 10, 1975. The author wishes to thank Dr. D. Harkrider for his encouragement during this research. This research was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by the Air Force Office of Scientific Research under Contract F44620-72-C-0078.
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Advanced Research Projects Agency (ARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)F44620-72-C-0078
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Caltech Division of Geological and Planetary Sciences2577
Issue or Number:6
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49671
Deposited By: Tony Diaz
Deposited On:12 Sep 2014 23:43
Last Modified:03 Oct 2019 07:15

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