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Russian Geology and Geophysics

2006 year, number 5

SIMULATION OF SEISMIC AND ACOUSTIC-GRAVITY WAVE PROPAGATION IN A HETEROGENEOUS `EARTH-ATMOSPHERE' MODEL

B.G. Mikhailenko and G.V. Reshetova
Institute of Computing Mathematics and Mathematical Geophysics, Siberian Branch of the RAS,
6 prosp. Akad. Lavrentieva, Novosibirsk, 630090, Russia
Keywords: Seismic waves, acoustic-gravity waves, Laguerre transform, finite-difference method
Pages: 541-550

Abstract

A numerical-analytical solution for seismic and acoustic-gravity wave propagation is applied to a heterogeneous `Earth-atmosphere' model. Seismic wave propagation in elastic earth is described by a system of first-order dynamic equations of the elasticity theory and propagation of acoustic-gravity waves in the atmosphere by the linearized Navier-Stokes equations. The solution algorithm combines the time-domain integral Laguerre transform, the finite integral Bessel transform along the radial coordinate, and the FD solution of the reduced problem along the vertical coordinate. The suggested algorithm is tested with numerical experiments for the heterogeneous `Earth-atmosphere' model for different source locations.