Kay theory for pre-stressed media

E. BOSCHI, E. DI CURZIO

Abstract


Because of the similarity between the equations of motion
governing infinitesimal vibration due to a small perturbing force superimposed
on an already existing state of finite stress and the equations of
linear anisotropic elasticity, methods of analysis used in one may be extended
to the second. In particular, in this paper, the technique of ray expansions
is considered. .Methods for calculation of rays and amplitude coefficients
of the ray series are given. A seismic ray is described by a system of ordinary
differential equations of first order which can be solved by standard
numerical techniques. Another system of ordinary differential equations
is introduced to compute amplitude coefficients.

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References


DOI: https://doi.org/10.4401/ag-4893
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Published by INGV, Istituto Nazionale di Geofisica e Vulcanologia - ISSN: 2037-416X