A numerical-analytical
solution for seismic and acoustic-gravity waves propagation is applied to a heterogeneous “Earth-Atmosphere” model. Seismic wave propagation
in an elastic half-space is described by a system of first order dynamic
equations of elasticity theory. Propagation of acoustic-gravity waves in the
atmosphere is described by the linearized Navier-Stokes equations with the
wind. The algorithm proposed is based on the integral Laguerre transform with
respect to time, the finite integral Fourier transform along the spatial coordinate with the finite difference
solution of the reduced problem.
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