Paper
31 August 1993 Free oscillation data inversion for a spherically symmetric earth
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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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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KEYWORDS
Optical spheres

Spherical lenses

Bessel functions

Chemical elements

Condition numbers

Lithium

Data centers

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