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Study of Anisotropy of Seismic Response from Fractured Media

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Intelligent Decision Technologies

Abstract

Investigating the anisotropy of response from fractured media through computational experiments plays an important role in seismic exploration for oil and gas. This paper shows the possibility of studying the anisotropy of the seismic response from a fractured zone using a continuum model with slippage and delamination. We varied four parameters of this model and obtained conclusions about the anisotropy of the seismic response depending on the direction of the fractures in the fractured zone. For the calculation, we used the grid-characteristic method on structured regular computational grids. To assess the anisotropy of the seismic response, we have introduced and used 12 anisotropy parameters based on the norms L1 and L.

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References

  1. Schoenberg, M., Douma, J.: Elastic wave propagation in media with parallel fractures and aligned cracks. Geophys. Prospect. 36(6), 571–590 (1988)

    Article  Google Scholar 

  2. Shearer, P.M.: Introduction to seismology. Cambridge University Press (2019)

    Google Scholar 

  3. Favorskaya, A.V., Zhdanov, M.S., Khokhlov, N.I., Petrov, I.B.: Modelling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid-characteristic method. Geophys. Prospect. 66(8), 1485–1502 (2018)

    Article  Google Scholar 

  4. Lan, H.Q., Zhang, Z.J.: Seismic wavefield modeling in media with fluid-filled fractures and surface topography. Appl. Geophys. 9(3), 301–312 (2012)

    Article  MathSciNet  Google Scholar 

  5. Favorskaya, A., Petrov, I., Grinevskiy, A.: Numerical simulation of fracturing in geological medium. Proc. Comput. Sci. 112, 1216–1224 (2017)

    Article  Google Scholar 

  6. Zhang, J.: Elastic wave modeling in fractured media with an explicit approach. Geophysics 70(5), T75–T85 (2005)

    Article  Google Scholar 

  7. Guo, J., Shuai, D., Wei, J., Ding, P., Gurevich, B.: P-wave dispersion and attenuation due to scattering by aligned fluid saturated fractures with finite thickness: theory and experiment. Geophys. J. Int. 215(3), 2114–2133 (2018)

    Article  Google Scholar 

  8. Cho, Y., Gibson, R.L., Vasilyeva, M., Efendiev, Y.: Generalized multiscale finite elements for simulation of elastic-wave propagation in fractured media. Geophysics 83(1), WA9–WA20 (2018)

    Google Scholar 

  9. Petrov, I.B., Favorskaya, A.V., Muratov, M.V., Biryukov, V.A., Sannikov, A.V.: Grid-characteristic method on unstructured tetrahedral grids. Dokl. Math. 90(3), 781–783 (2014)

    Article  Google Scholar 

  10. Novikov, M.A., Lisitsa, V.V., Kozyaev, A.A.: Numerical modeling of wave processes in fractured porous fluid-saturated media. Numer. Methods Program. 19, 130–149 (2018)

    Google Scholar 

  11. Wang, K., Peng, S., Lu, Y., Cui, X.: The velocity-stress finite-difference method with a rotated staggered grid applied to seismic wave propagation in a fractured medium. Geophysics 85(2), T89–T100 (2020)

    Article  Google Scholar 

  12. Vamaraju, J., Sen, M.K., De. Basabe, J., Wheeler, M.: Enriched Galerkin finite element approximation for elastic wave propagation in fractured media. J. Comput. Phys. 372, 726–747 (2018)

    Article  MathSciNet  Google Scholar 

  13. Hou, X., Liu, N., Chen, K., Zhuang, M., Liu, Q.H.: The efficient hybrid mixed spectral element method with surface current boundary condition for modeling 2.5-D fractures and faults. IEEE Access 8, 135339–135346 (2020)

    Google Scholar 

  14. Burago, N.G., Zhuravlev, A.B., Nikitin, I.S.: Continuum model and method of calculating for dynamics of inelastic layered medium. Math. Models Comput. Simul. 11(3), 488–498 (2019)

    Article  MathSciNet  Google Scholar 

  15. Burago, N.G., Nikitin, I.S.: Improved model of a layered medium with slip on the contact boundaries. J. Appl. Math. Mech. 80(2), 164–172 (2016)

    Article  MathSciNet  Google Scholar 

  16. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Methods for calculating the dynamics of layered and block media with nonlinear contact conditions. Smart Innovation Syst. Technol. 173, 171–183 (2020)

    Article  Google Scholar 

  17. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Continual models of layered and block media with slippage and delamination. Procedia Struct. Integrity 23, 125–130 (2019)

    Article  Google Scholar 

  18. Petrov, I., Vasyukov, A., Beklemysheva, K., Ermakov, A., Favorskaya, A.: Numerical modeling of non-destructive testing of composites. Procedia Comput. Sci. 96, 930–938 (2016)

    Article  Google Scholar 

  19. Golubev, V., Shevchenko, A., Petrov, I.: Simulation of seismic wave propagation in a multicomponent oil deposit model. Int. J. Appl. Mech. 2050084.1–2050084.18 (2020)

    Google Scholar 

  20. Petrov, I.B., Golubev, V.I., Shevchenko, A.V.: Problem of acoustic diagnostics of a damaged zone. Dokl. Math. 101(3), 250–253 (2020)

    Article  Google Scholar 

  21. Favorskaya, A., Petrov, I.: A novel method for investigation of acoustic and elastic wave phenomena using numerical experiments. Theor. Appl. Mech. Lett. 10(5), 307–314 (2020)

    Article  Google Scholar 

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Acknowledgements

The reported study was funded by RFBR, project number 20-01-00261. This work has been carried out using computing resources of the federal collective usage center Complex for Simulation and Data Processing for Mega-science Facilities at NRC “Kurchatov Institute”, http://ckp.nrcki.ru/.

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Favorskaya, A., Golubev, V. (2021). Study of Anisotropy of Seismic Response from Fractured Media. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 238. Springer, Singapore. https://doi.org/10.1007/978-981-16-2765-1_19

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