Free oscillation data inversion for a spherically symmetric earth

Rick P. Millane

doi:10.1117/12.154698

31 August 1993 Free oscillation data inversion for a spherically symmetric earth

Rick P. Millane

Author Affiliations +

Proceedings Volume 1941, Ground Sensing; (1993) https://doi.org/10.1117/12.154698
Event: Optical Engineering and Photonics in Aerospace Sensing, 1993, Orlando, FL, United States

Abstract

The problem of determining the internal structure of the earth from the frequencies of free oscillation is considered. The simplified case of a spherically symmetric fluid sphere is examined. An asymptotic analysis implies that a velocity profile that is a small perturbation from a homogeneous fluid is determined, up to a finite number of parameters, by two infinite spectra of appropriate angular orders. A numerical study of the problem for finite spectra indicates what types of spectral data allow a stable reconstruction.

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Rick P. Millane "Free oscillation data inversion for a spherically symmetric earth", Proc. SPIE 1941, Ground Sensing, (31 August 1993); https://doi.org/10.1117/12.154698

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