Quantitative study of nonstationary interference wave fields in layered-homogeneous elastic media with plane-parallel interfaces. I: Statements of the problems and efficient methods of their solution

B. M. Kashtan, G. I. Petrashen', Yu. V. Kiselev

Publication date: 19 October 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68452

zbMATH Keywords

numerical methods phase functions contour integral method roots of dispersion equation seismic wave propagation spectral fields stationary contours

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Seismology (including tsunami modeling), earthquakes (86A15)

Related Items (6)

The classical and generalized Love problems in a domain of low-frequency interference waves of signal type. I ⋮ Wave field inside a thin layer of an (ideal) liquid covering an elastic half-space. (The simplest model of the shelf) ⋮ Applied aspects of studying roots of dispersion equations on nonprincipal sheets of a complex plane ⋮ 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 ⋮ Algorithms for evaluating basic components of spectral functions of interference wave fields ⋮ Estimate of the precision of determination of elastic parameters by the diffraction tomography method with the use of the finite difference method (the SV-problem)

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