Asymptotic results for elastodynamic propagator matrices in plane-stratified and spherically-stratified earth models |
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| Authors: | J H Woodhouse |
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| Institution: | Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, California 92093 |
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| Abstract: | Summary. Asymptotic results, applicable at high frequencies, are established for elastodynamic propagator or transfer matrices. We are concerned here with a single layer, by which we shall mean a region of a spherically-symmetric earth model in which physical properties vary smoothly with radius, or a region of a plane-stratified earth model in which physical properties vary smoothly with depth. Results are obtained for the spheroidal and toroidal oscillations of a solid spherical layer, the spheroidal oscillations of a spherical fluid layer, P-SV and SH waves in a plane solid layer and P waves in a plane fluid layer. Each of these results is given to first order in ω?1 where ω is the angular frequency. |
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