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

Mathematical Simulation in Geophysical Problems. Seismic Methods, Problems of Geomonitoring and Geodynamics

Numerical simulation of seismic and acousto-gravity waves in a heterogeneous Earth-Atmosphere model

Mikhailenko B.G., Reshetova G.V.

Inst. of Comp. Math. and Math. Geoph. (Novosibirsk)

The paper considers numerical-analytical method of solving the problem of propagation of seismic and acoustic-gravity waves for the inhomogeneous model Earth-Atmosphere. The seismic wave propagation is described by a system of the first order dynamic equations of the elasticity theory; the propagation of acoustic-gravity waves in the Atmosphere are described by the linearized Navier-Stokes equations. The algorithm proposed is based on a combination of the integral Laguerre transform with respect to time, finite integral Bessel transform along the radial coordinate with a finite difference method along the vertical coordinate. The paper presents some examples of calculation of seismic and acoustic-gravity waves for the inhomogeneous model Earth-Atmosphere for various locations of a source.

Note. Abstracts are published in author's edition

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