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This article is cited in 1 scientific paper (total in 1 paper)
International Conference on Environmental Mathematical Modeling and Numerical Analysis (Rostov-on-Don)
Numerical modeling of seismic fields in viscoelastic media based on the Laguerre spectral method
G. V. Konyukh, B. G. Mikhailenko, A. A. Mikhailov Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
The paper presents an efficient algorithm, based on the application of the finite integral
Fourier–Bessel transforms with respect to spatial coordinate and the spectral Laguerre
method for approximation of temporal derivatives as applied to the problem of seismic
wave propagation in the heterogeneous viscoelastic medium. Such an approach allows
reducing the solution of the original problem to a series of one-dimensional problems,
which are then numerically solved. As a elaxation function the generalized model for
the standard linear solid rheology is considered. Some examples of the calculation of
synthetic seismograms for different models of viscoelastic media are presented.
Received: 30.10.1999
Citation:
G. V. Konyukh, B. G. Mikhailenko, A. A. Mikhailov, “Numerical modeling of seismic fields in viscoelastic media based on the Laguerre spectral method”, Matem. Mod., 13:2 (2001), 61–70
Linking options:
https://www.mathnet.ru/eng/mm676 https://www.mathnet.ru/eng/mm/v13/i2/p61
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Abstract page: | 441 | Full-text PDF : | 188 | First page: | 3 |
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