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Numerical Modeling of Wave Processes in Multilayered Media with Gas-Containing Layers: Comparison of 2D and 3D Models

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Abstract

Today, the exploration of the Arctic region is one of the most important direction of research in our country, because large amounts of unexplored oil and gas deposits are located there. Large hydrocarbon deposits are situated within the Northern seas. Their development is complicated by gas explosions resulting from an accidental opening and further spread of the gas. Since the region with gas layers cannot be frequently monitored, an area with already detected gas deposits is numerically modeled instead. In this work, seismic waves propagating in multilayered geological models with gas-containing inclusions were numerically modeled over a four-year interval by applying the grid-characteristic method. Wave patterns of seismic reflections and seismograms for the described problem were obtained. The wave patterns and seismograms obtained in the two- and three-dimensional cases were compared. The results were found to be in good agreement.

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REFERENCES

  1. W. Goodway and M. Enachescu, Leading Edge 32 (5), 522–523 (2013).

    Article  Google Scholar 

  2. A. V. Favorskaya, I. B. Petrov, D. I. Petrov, and N. I. Khokhlov, Math. Models Comput. Simul. 8 (4), 346–357 (2016).

    Article  Google Scholar 

  3. I. B. Petrov, Chebyshev. Sb. 18 (3), 428–443 (2017).

    Google Scholar 

  4. V. I. Bogoyavlenskii, V. Yu. Kerimov, O. O. Ol’khovskaya, et al., Territ. NEFTEGAZ, No. 10, 24–32 (2016).

    Google Scholar 

  5. W. Nowacki, Teoria Sprezystosci (Panstwowe Wydawnictwo Naukowe, Warsaw, 1970).

    MATH  Google Scholar 

  6. M. Muratov, I. Petrov, and V. Leviant, “Grid-characteristic method as optimal tool of fracture formations research,” Innovations in Geosciences (St. Petersburg, 2018) [in Russian].

    Book  Google Scholar 

  7. K. M. Magomedov and A. S. Kholodov, Grid-Characteristic Numerical Methods (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

  8. N. I. Khokhlov and V. I. Golubev, Smart Innovation Syst. Technol. 133, 64–77 (2019).

    Article  Google Scholar 

  9. I. Petrov, A. Favorskaya, M. Favorskaya, et al., Smart Innovation Syst. Technol. 133, 3–7 (2019).

    Article  Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research, project no. 19-07-00366.

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Correspondence to P. V. Stognii, N. I. Khokhlov or I. B. Petrov.

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Translated by I. Ruzanova

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Stognii, P.V., Khokhlov, N.I. & Petrov, I.B. Numerical Modeling of Wave Processes in Multilayered Media with Gas-Containing Layers: Comparison of 2D and 3D Models. Dokl. Math. 100, 586–588 (2019). https://doi.org/10.1134/S1064562419060152

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  • DOI: https://doi.org/10.1134/S1064562419060152

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