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Petrov, I. B.; Golubev, V. I.; Ankipovich, Yu. S.; Favorskaya, A. V.

Numerical modeling of acoustic processes in gradient media using the grid-characteristic method. (English. Russian original) Zbl 1517.74052

Dokl. Math. 106, No. 3, 449-453 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 51-56 (2022).
Summary: In this paper, we consider the problem of seismic wave propagation in gradient geological media. Their dynamic behavior is described using the acoustic approximation and the numerical integration of the initial-boundary value problem for the acoustic wave equation with spatially variable mechanical parameters. A grid-characteristic numerical method is developed that explicitly takes into account the gradient of the medium. The numerical solutions are compared with results obtained using a piecewise constant model of the medium in the one-dimensional case.

Cited in 1 Document

MSC:

74J10 Bulk waves in solid mechanics
74L05 Geophysical solid mechanics
74S99 Numerical and other methods in solid mechanics
86A15 Seismology (including tsunami modeling), earthquakes

Keywords:

seismic wave; initial-boundary value problem; piecewise constant medium model; acoustic approximation; grid-characteristic method
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References:

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