Free oscillations of a spherical anelastic earth

Physics

Scientific paper

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19

Anelasticity, Earth Movements, Free Vibration, Geodynamics, Harmonic Motion, Fourier Transformation, Perturbation Theory

Scientific paper

A method for calculating exact complex eigenfrequencies and eigenfunctions and exact single mode synthetic seismograms for a spherical anelastic earth model is presented. The real frequencies of oscillation of some spheroidal modes differ by 1 to 2 micro-Hz from the corresponding spherical elastic earth eigenfrequencies. The decay rates are generally well approximated by conventional first-order perturbation theory. The complex radial eigenfunctions of the most strongly affected modes differ substantially from the corresponding real elastic eigenfunctions, and this can lead to significant perturbations in the initial phase and amplitude of the associated free oscillations following an earthquake. Most, but not all, of the strongly affected modes have large displacements in the inner core.

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