Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Plenary Talks

Continuation of elastic waves in reverse time

Tsibulchik G.M.

Institute of Computational Mathematics and Mathematical Geophysics
(Computing Center SB RAS Novosibirsk)

In practice of data processing of multi-channel seismic prospecting have gained a wide circulation the methods grounded on versed prolongation of a field of oscillations. The idea of such approach in the physical ration is transparent enough: the undular field observable on some surface, prolongs inside of medium and back in time. In the mathematical ration all applied algorithms of prolongation are based on the scalar model of a wave equation reflecting well enough the undular nature of oscillations of separate types, but absolutely not not considering the vector nature of these oscillations. More adequate model for exposition of seismic oscillations, as is known, is submitiven with combined equations of the dynamic theory of elasticity (the equation of Lame). In the nonuniform isotropic medium the present operation also is devoted to problems of prolongation of a field of elastic oscillations.
The work is supported by the Russian Foundation for Basic Research under Grant no.06-05-64265 and SB RAS Integration Project no.16.

Note. Abstracts are published in author's edition

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