Analytical partial derivatives of the phase- and group velocities for Rayleigh waves propagating in a layer on a half-space |
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| Authors: | O Novotny I Mufti A G Vicentini |
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| Institution: | (1) Department of Geophysics, Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, 180 00 Prague 8, Czech Republic;(2) Centro de Pesquisa em Geofisica e Geologia/Instituto de Fisica, Universidade Federal da Bahia, Campus Universitario da Ondina, 402 10 - 340 Salvador, Bahia, Brasil |
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| Abstract: | The dispersion relation for Rayleigh waves in a layer on a half-space is modified by introducing the quadratic wave number instead of the phase velocity. The implicit function theorem is then used to derive analytical formulae for the group velocity and for the phase- and group velocity partial derivatives with respect to the parameters of the medium. As two examples, the method is applied to the interpretation of dispersion curves for short-period Rayleigh waves observed in a sedimentary basin of the West Carpathians, and in the Moravo-Silesian region, Czech Republic. |
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| Keywords: | surface waves dispersion Rayleigh waves wave number partial derivatives |
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