Effects of a rigid core on the reflection and transmission coefficients from a multi-layered core-mantle boundary |
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| Authors: | Abou-Bakr K Ibrahim |
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| Institution: | (1) Seismological Institute, Box 517, S-751 20 Uppsala 1, Sweden;(2) Present address: Vening Meinesz Laboratory, Lucas Bolwerk 11, Utrecht, The Netherlands |
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| Abstract: | Summary The aim of this paper is to present the formulations which can be used in calculating reflection and transmission coefficients when the rigidity in the core is taken into consideration. The theoretical curves presented can be used as a guide for studies of the physical parameters of the core-mantle boundary. It is hoped that these curves may lead to a clarification of the great differences between observed data and theoretical calculations, when the geometrical spreading and attenuation are taken into account.The Thomson-Haskell matrix formulations are used to calculate the reflection and transmission coefficients for a multi-layered medium imbedded between two half-spaces representing the solid mantle and a rigid core. A rigid core is defined here as having a rigidity in the range 1010< <1011 cgs units. For five proposed models of the core-mantle boundary the rigidity in the core is varied and the results are compared with those for a liquid core. |
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