The reflected-transmitted and head waves SH-type produced by a thin layer which is placed between two elastic half-spaces with a rigid contact. (English) Zbl 0909.73024

Kiselev, Yu. V.; Kashtan, B. M.

J. Math. Sci., New York 91, No. 1, 2601-2618 (1998); translation from Zap. Nauchn. Semin. POMI 225, 91-120 (1996).

The authors study the interference wave field in layered media, namely for two half-spaces, \(z<H\) and \(z>H+h\) \((z\) is a Cartesian coordinate) separated by a thin layer, \(H<z<H+h\). The media are isotropic and homogeneous, and the wave source is placed at the origin. The \(SV\)-type waves are also taken into account. The authors use numerical simulation via the contour integration technique, and analyze main types of \(SV\)-waves (body, channel, head, and tunnelling waves) both in time and in frequency domains. As expected, the propagation in the layer disappears when the layer thickness is less that the quarter of the wavelength. Also, some maxima in the spectral domain are observed, and a shift between them is produced as the horizontal distance increases.

Reviewer: D.Stanomir (Bucureşti)

MSC:

74J20	Wave scattering in solid mechanics
86A15	Seismology (including tsunami modeling), earthquakes

Keywords:

time domain; frequency domain; contour integration technique; maxima in spectral domain; \(SV\)-type waves; interference wave field; numerical simulation

References:

[1]	G. I. Petrashen, B. M. Kashtan, and Yu. V. Kiselev, ”Quantitative study of nonstationary interference wave fields in layered-homogeneous elastic media with plane-parallel interfaces. I. Statement of the problems and efficient methods of their solution,”Zap. Nauchn. Semin. POMI,214, 7–186 (1994). · Zbl 0907.73015
[2]	G. I. Petrashen and B. M. Kashtan, ”On applied aspects of studying the roots of dispersion equations on nonprincipal sheets of a complex plane,”Zap. Nauchn. Semin. POMI,225, 62–90 (1996). · Zbl 0909.73025
[3]	R. E. Sheriff and L. P. Geldart,Exploration Seismology, Cambridge (1983).
[4]	Yu. V. Kiselev, A. A. Kovtun, B. M. Kashtan, and G. I. Petrashen, ”On studying interference waves in layered elastic media,” in:Problems in the Dynamic Theory of Propagation of Seismic Waves [in Russian], No. 29, Leningrad State Univ. (1989), pp. 41–58.