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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 150–156
(Mi znsl1649)
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Resonance waves in the media with nonwelded boundaries
A. P. Krauklis, P. V. Krauklis, A. V. Fat'yanov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
It is shown that in the layered media with weakened interfaces the resonance waves ($Kr$-waves) are arose. Such waves have the very characteristic frequencies and a lot of other cinematic and dynamic features distinguish them from the well-known Love and Rayleigh type waves. The comparison of the theoretical results with experimental seismic data indicates that $Kr$-waves can be formed in the real geological section. We show theoretically and numerically that in a sedimentary basin of finite lateral extent horizontal $Kr$-wave can be trapped and resonate. This wave has a number of interesting properties: wave spectrum has resonance frequency; wave group velocity is equal to an intermediate value between shear and longitudinal velocities; attenuation of wave increases when the frequency varies from the resonance value. Bibl. – 5 titles, fig. – 5.
Received: 19.05.2008
Citation:
A. P. Krauklis, P. V. Krauklis, A. V. Fat'yanov, “Resonance waves in the media with nonwelded boundaries”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 150–156; J. Math. Sci. (N. Y.), 155:3 (2008), 419–422
Linking options:
https://www.mathnet.ru/eng/znsl1649 https://www.mathnet.ru/eng/znsl/v354/p150
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Abstract page: | 289 | Full-text PDF : | 128 | References: | 45 |
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