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

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