Abstract

Anisotropy of the upper mantle is given by Montagner and Anderson in Earth model ACY400. This is used to construct a radially inhomogeneous multilayered sphere Earth model in the present paper. The anisotropy is treated as radial and the effects of this on the global stress and displacement fields are investigated. As a first step the analytical solutions to a homogeneous and radially anisotropic shell subjected to body forces are derived. The analytical solutions to the whole multilayered sphere are then obtained in terms of the propagator matrix method. The model sphere is divided into 53 layers, in which 18 layers are anisotropic, and the global stress and displacement fields due to the tidal attractions are then computed. The results are compared with those of the case without anisotropy. It is found from the comparison that whether considering the anisotropy given by ACY400 or not, the tidal stress field is very little affected. Finally, a theoretical investigation is also made on how the thickness of anisotropic layer and the magnitude of anisotropy would affect the tidal displacement and stress fields.

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