Abstract
A numerical-analytical algorithm for modeling of 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. The propagation of acoustic-gravity waves in the atmosphere is described by the linearized Navier-Stokes equations with the wind. The algorithm is based on the integral Laguerre transform with respect to time, the finite integral Fourier transform with respect to a spatial coordinate combined with a finite difference method for the reduced problem.
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Acknowledgements
This work was supported by the Russian Foundation for Basic Research (project 14-05-00867).
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Mikhailenko, B., Mikhailov, A.A., Reshetova, G.V. (2015). Modeling the Wind Influence on Acoustic-Gravity Propagation Waves in a Heterogeneous Earth-Atmosphere Model. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_31
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DOI: https://doi.org/10.1007/978-3-319-20239-6_31
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