Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 150-156
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A. P. Krauklis; P. V. Krauklis; A. V. Fat'yanov. Resonance waves in the media with nonwelded boundaries. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 150-156. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a6/
@article{ZNSL_2008_354_a6,
author = {A. P. Krauklis and P. V. Krauklis and A. V. Fat'yanov},
title = {Resonance waves in the media with nonwelded boundaries},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--156},
year = {2008},
volume = {354},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a6/}
}
TY - JOUR
AU - A. P. Krauklis
AU - P. V. Krauklis
AU - A. V. Fat'yanov
TI - Resonance waves in the media with nonwelded boundaries
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2008
SP - 150
EP - 156
VL - 354
UR - http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a6/
LA - ru
ID - ZNSL_2008_354_a6
ER -
%0 Journal Article
%A A. P. Krauklis
%A P. V. Krauklis
%A A. V. Fat'yanov
%T Resonance waves in the media with nonwelded boundaries
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 150-156
%V 354
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a6/
%G ru
%F ZNSL_2008_354_a6
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.
[1] A. P. Crary, “Seismic studies on Fletcher's ice island”, T-3, EOS, Trans. Amer. Geophys. Union, 35 (1954), 293–300
[2] A. G. Fatyanov, “Poluanaliticheskii metod resheniya pryamoi i obratnoi dinamicheskikh zadach dlya sloistykh sred”, DAN SSSR, 310:2 (1990), 323–327 | MR
[3] A. C. Johnston, “Air blast recognition and location using regional seismographic networks”, Bull. Seismological Soc. Amer., 77:4 (1987), 1446–1456
[4] P. V. Krauklis, L. A. Krauklis, “O volnakh v sredakh, soderzhaschikh poverkhnosti oslablennogo mekhanicheskogo kontakta”, Zap. nauchn. semin. LOMI, 173, 1988, 113–122 | MR | Zbl
[5] F. J. Sanchez-Secma, F. Luzon, “Can horizontal P wave be trapped and resonate in a shallow sedimentary basin?”, Geophys. J. Int., 124 (1996), 209–214 | DOI