The matrix element for a transversely isotropic earth model.

Physics

Scientific paper

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Earth: Models, Earth: Oscillations

Scientific paper

The matrix element, which is necessary for evaluating the effect of aspherical perturbations on the splitting and coupling of modes of the Earth's free oscillations, is derived for a transversely isotropic earth model. The terms associated with the hydrostatic ellipticity are expressed in a form which does not include the derivatives of model parameters. It is also shown that the previous results for the isotropic case require some corrections.

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