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Two-dimensional models of elastic tides in a horizontally heterogeneous medium
Authors:S M Molodensky  M S Molodenskaya
Institution:(1) Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Bol’shaya Gruzinskaya ul. 10, Moscow, 123995, Russia
Abstract:The possibility of determining local horizontal inhomogeneities of the shear and bulk moduli from data on amplitudes and phases of tidal tilts and strains is considered. Simple analytical formulas determining the sought effects are derived by the perturbation method, and their numerical estimates are determined for the simplest 2-D models. It is shown that relative variations in the shear and bulk moduli affect not only the amplitudes and phases of variations in tidal parameters but also the shape of curves of tidal amplitude anomalies versus the horizontal coordinate. Given adequate spatial resolution, this can significantly facilitate the elastic moduli inversion from tidal data.
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