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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
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)
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)
Carcione, J.M.: Computational poroelasticity - a review. Geophysics 75(5), 1264–1276 (2010)
Guo, J., et al.: Effects of fracture intersections on seismic dispersion: theoretical predictions versus numerical simulations. Geophys. Prospect. 65(5), 1264–1276 (2017)
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)
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)
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)
Masson, Y.J., Pride, S.R.: Finite-difference modeling of Biot’s poroelastic equations across all frequencies. Geophysics 75(2), N33–N41 (2010)
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)
Rubino, J.G., et al.: Seismoacoustic signatures of fracture connectivity. J. Geophys. Res.: Solid Earth 119(3), 2252–2271 (2014)
Rytov, S.M., Kravtsov, Y.A., Tatarskii, V.I.: Principles of Statistical Radiophysics 2. Correlation Theory of Random Processes. Springer, Heidelberg (1988)
Xu, C., et al.: A connectivity index for discrete fracture networks. Math. Geol. 38(5), 611–634 (2006)
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Novikov, M., Lisitsa, V., Khachkova, T. (2019). Numerical Estimation of Seismic Wave Attenuation in Fractured Porous Fluid-Saturated Media. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_41
Download citation
DOI: https://doi.org/10.1007/978-3-030-11539-5_41
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11538-8
Online ISBN: 978-3-030-11539-5
eBook Packages: Computer ScienceComputer Science (R0)