Mathematics
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........26w&link_type=abstract
Ph.D. Thesis California Univ., San Diego.
Mathematics
1
Earth (Planet), Earth Core, Earthquakes, Free Vibration, Planetary Structure, Spheroids, Symmetry, Toroids, Asphericity, Degeneration, Mathematical Models
Scientific paper
Large earthquakes are capable of exciting the elasto-gravitational free oscillations of the Earth to a detectable level. Recordings of such earthquakes from the last 16 years are used to observe the resonance frequencies of the Earth. Given that the deviations from spherical symmetry are small, the determination of the large-scale mechanical structure of the Earth separates into two problems. Observations from spherical symmetry can be constrained by observations of mode splitting. Chapter two reports observations of the degenerate frequencies of 600 spheroidal and toroidal multiplets with frequencies less that 10 MHz. In chapter three, we use two techniques, which explicitly take the effect of large-scale aspherical structure ito account to estimate degenerate frequency and axisymmetric degree 2 structure coefficients of 10 core-sensitive multiplets in the frequency band 5-10 MHz. In chapter four, we use recordings of the 1989 Macquarie rise earthquake to analyze the lowest order fundamental toroidal modes and we report the first unambiquous observation of the gravest toroidal mode sub 0 T sub 2. Chapter five discusses the use of observations of the attenuation of free oscillations to infer the depth dependence of the intrinsic attenuation. Chapter six critically summarizes the data set constraining spherically symmetric Earth structure.
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