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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1996 Volume 225, Pages 121–239 (Mi znsl3736)

This article is cited in 1 paper

Nonstationary interference wave fields of the $SV$-type in a free elastic layer and a problem of the ultrasonic modeling of plane seismic fields on plate-like models

G. I. Petrashen, V. S. Pivovarov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The problem of a quantitative study of wave fields in a free elastic layer excited by point nonstationary sources is discussed.
The principal attention is paid to a low-frequency part of the Fourier spectrum. Roots of the dispersion equation of the layer chosen in the Lambe method representation are studied very thoroughly. On this basis efficient methods for a quontitative estimation of the wave interference modes are elaborated. It allows us essentially to advance a mathematical justification of the methods of the seismic modeling of the plane wave fields on the plate-like models. Bibl. 8 titles, ill. 24.

UDC: 550.834

Received: 04.12.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:1, 2619–2687

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© Steklov Math. Inst. of RAS, 2024