Advertisement

Numerical Estimation of Seismic Wave Attenuation in Fractured Porous Fluid-Saturated Media

  • Mikhail NovikovEmail author
  • Vadim Lisitsa
  • Tatiana Khachkova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)

Abstract

Study of wave-induced fluid flow (WIFF) became actual in geophysics last years, because attenuation caused by this effect can serve as indicator of fractured highly-permeable reservoirs. In our work we model two-scale fractured domains with small scale fractures forming percolating clusters. Statistical geometry analysis and numerical wave propagation simulations using finite-difference approximation of Biot’s dynamic equations were done to estimate seismic attenuation and investigate the dependence of attenuation due to WIFF on percolation length. Theoretical predictions of at tenuation due to scattering are also provided. Obtained estimations demonstrate sufficient correlation between fracture connectivity and attenuation of waves propagating in considered fractured media.

Keywords

Wave-induced fluid flow Seismic attenuation Finite difference method Biot model 

Notes

Acknowledgments

This research was supported by Russian Foundation for Basic Research grants no. 18-05-00031, 18-01-00579, 16-05-00800. The computations were performed using supercomputer “Lomonosov” of Moscow State University and cluster NKS-30T+GPU of the Siberian supercomputer center.

References

  1. 1.
    Biot, M.A.: Theory of propagation of elastic waves in fluid-saturated porous solid. I. Low-frequency range. J. Acoust. Soc. Am. 28, 168–178 (1956)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Biot, M.A.: Theory of propagation of elastic waves in fluid-saturated porous solid. II. Higher frequency range. J. Acoust. Soc. Am. 28, 179–191 (1956)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Carcione, J.M.: Computational poroelasticity - a review. Geophysics 75(5), 1264–1276 (2010)CrossRefGoogle Scholar
  4. 4.
    Guo, J., et al.: Effects of fracture intersections on seismic dispersion: theoretical predictions versus numerical simulations. Geophys. Prospect. 65(5), 1264–1276 (2017)CrossRefGoogle Scholar
  5. 5.
    Hunziker, J., et al.: Seismic attenuation and stiffness modulus dispersion in porous rocks containing stochastic fracture networks. J. Geophys. Res.: Solid Earth 123(1), 125–143 (2018)CrossRefGoogle Scholar
  6. 6.
    Masson, Y.J., Pride, S.R., Nihei, K.T.: Finite difference modeling of Biot’s poroelastic equations at seismic frequencies. J. Geophys. Res.: Solid Earth 111(B10), 305 (2006)CrossRefGoogle Scholar
  7. 7.
    Masson, Y.J., Pride, S.R.: Poroelastic finite difference modeling of seismic attenuation and dispersion due to mesoscopic-scale heterogeneity. J. Geophys. Res.: Solid Earth 112(B03), 204 (2007)Google Scholar
  8. 8.
    Masson, Y.J., Pride, S.R.: Finite-difference modeling of Biot’s poroelastic equations across all frequencies. Geophysics 75(2), N33–N41 (2010)CrossRefGoogle Scholar
  9. 9.
    Novikov, M., et al.: Numerical study of fracture connectivity response in seismic wavefields. In: SEG Technical Program Expanded Abstracts 2017, pp. 3786–3790. Society of Exploration Geophysicists, Tulsa (2017)Google Scholar
  10. 10.
    Rubino, J.G., et al.: Seismoacoustic signatures of fracture connectivity. J. Geophys. Res.: Solid Earth 119(3), 2252–2271 (2014)CrossRefGoogle Scholar
  11. 11.
    Rytov, S.M., Kravtsov, Y.A., Tatarskii, V.I.: Principles of Statistical Radiophysics 2. Correlation Theory of Random Processes. Springer, Heidelberg (1988)zbMATHGoogle Scholar
  12. 12.
    Xu, C., et al.: A connectivity index for discrete fracture networks. Math. Geol. 38(5), 611–634 (2006)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.IPGG SB RASNovosibirskRussia

Personalised recommendations