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Finite-Difference Simulation of Wave Propagation Through Prestressed Elastic Media

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Finite Difference Methods,Theory and Applications (FDM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9045))

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Abstract

The new computational model for the seismic wave propagation is proposed, the governing equations of which are written in terms of velocities, stress tensor and small rotation of element of the medium. The properties of wavefields in the prestressed medium are studied and some examples showing anisotropy of prestressed state are discussed. The staggered grid numerical method is developed for solving the governing equations of the model and numerical examples are presented.

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References

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Acknowledgements

The financial support of the Russian Foundation for Basic Research (grants 15-05-01310, 13-05-12051) is greatly acknowledged.

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Authors and Affiliations

  1. Trofimuk Institute of Petroleum Geology and Geophysics, Novosibirsk, Russia

    Egor Lys, Vladimir Tcheverda & Mikhail Epov

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Evgeniy Romenski

Authors
  1. Egor Lys
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  2. Evgeniy Romenski
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  3. Vladimir Tcheverda
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  4. Mikhail Epov
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Corresponding author

Correspondence to Egor Lys .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Lys, E., Romenski, E., Tcheverda, V., Epov, M. (2015). Finite-Difference Simulation of Wave Propagation Through Prestressed Elastic Media. 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_30

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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