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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2005 Volume 2, Pages 23–61 (Mi semr15)

This article is cited in 25 papers

Research papers

The direct dynamical problem of seismics for horizontally stratified media

A. L. Karchevsky

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: A method of numerical solving the elasticity system for horizontal stratified anisotropic media is presented. The algorithm uses a relation between a system of differential equation of second order and a differential matrix Riccati equation which admits a solution in an analytical form in the each layer. The proposed numerical method differs from known methods and can be applied for horizontal stratified media of any type.

UDC: 517.95+517.923

MSC: 35C05

Received January 17, 2005, published March 18, 2005



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