Modeling the Wind Influence on Acoustic-Gravity Propagation Waves in a Heterogeneous Earth-Atmosphere Model
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.
KeywordsSeismic waves Acoustic-gravity waves Navier-stokes equations Laguerre transform Finite difference method
This work was supported by the Russian Foundation for Basic Research (project 14-05-00867).
- 1.Alekseev, A.S., Glinsky, B.M., Dryakhlov, S.I., et al.: The effect of acoustic-seismic induction in vibroseismic sounding. Dokl. RAN. 346(5), 664–667 (1996)Google Scholar
- 3.Razin, A.V.: Propagation of a spherical acoustic delta wavelet along the gas-solid interface. Izv. RAN. Fizika zemli. 2, 73–77 (1993)Google Scholar
- 4.Mikhailenko, B.G., Reshetova, G.V.: Mathematical simulation of propagation of seismic and acoustic-gravitational waves for an inhomogeneous Earth-Atmosphere model. Geologiya i geofizika 47(5), 547–556 (2006)Google Scholar
- 10.Mikhailov, A.A.: Simulation of seismic fields for 2.5D inhomogeneous viscoelastic media. Proc. of the Intern. Conference “Mathematical Methods in Geophysics". Novosibirsk. Part 1, 146–152 (2003)Google Scholar
- 11.Suetin, P.K.: Classical orthogonal polynomials, p. 327. Nauka, Moscow (1999)Google Scholar