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Numerical Modeling of Transient Seismic Fields in Viscoelastic Media Based on the Laguerre Spectral Method

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Abstract

—The wave propagation in real media can be described within the theory of linear viscoelasticity. The presence of convolutional integral in Boltzmann's superposition principle poses the main difficulties in implementing the direct numerical methods in time domain. The paper presents a new algorithm, based on the application of the spectral Laguerre method for the approximation of temporal derivatives and convolution as applied to the problem of seismic wave propagation in the heterogeneous viscoelastic medium. Examples of the calculation of synthetic seismograms for different models of viscoelastic media are presented.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics Siberian Division Russian Academy of Sciences, Novosibirsk, Russia 630090, Pr. Lavrentieva 6. E-mail: kgv@nmsf.sscc.ru, , , , , , RU

    B. G. Mikhailenko, A. A. Mikhailov & G. V. Reshetova

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  1. B. G. Mikhailenko
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  2. A. A. Mikhailov
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  3. G. V. Reshetova
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Additional information

(Received October 1, 2000, accepted August 2, 2001)

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ID="*" This contribution was presented at the workshop on Seismic Waves in Laterally Inhomogeneous Media V, Zahradky, CR, June 5–9, 2000.

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Mikhailenko, B., Mikhailov, A. & Reshetova, G. Numerical Modeling of Transient Seismic Fields in Viscoelastic Media Based on the Laguerre Spectral Method. Pure appl. geophys. 160, 1207–1224 (2003). https://doi.org/10.1007/s000240300002

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  • DOI: https://doi.org/10.1007/s000240300002

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