Abstract:
We propose an analytical method of modeling seismic wave fields for a wide range of geophysical media: elastic, non-elastic, anisotropic, anisotropic-non-elastic, porous, random-inhomogeneous, etc. for super-remote (far) distances. As finite difference approximations are not used, there is no grid, no dispersion when computing wave fields for arbitrary media models and observation points. The analytical solution representation in the spectral domain makes possible to carry out analysis of a wave field in parts, specifically, to obtain the primary waves. Based on the developed program of computing wave fields, we have carried out the simulation of seismic “ringing” on the Moon. Obtained comparison with ray method.
Keywords:mathematical modeling, analytical solution, full wave field, primary waves, elastic, non-elastic, anisotropic-non-elastic, porous, random-inhomogeneous media, seismic ray method.
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