1887
Volume 72, Issue 7
  • E-ISSN: 1365-2478

Abstract

Abstract

The interlayer wave‐induced fluid flow is an important mechanism for seismic attenuation and dispersion, as well as frequency‐dependent anisotropy, in the fluid‐saturated porous layered medium. This mechanism is closely related to the medium physical properties, and thus quantifying this mechanism is of significance for the seismic inversion of medium physical properties. Although numerous models have been proposed to quantify this mechanism, most models do not consider the effects of layer intrinsic anisotropy. To solve this problem, the effective complex‐valued and frequency‐dependent stiffness coefficients are derived for the fluid‐saturated porous medium composed of periodic transversely isotropic layers. Using the derived solutions, we study the effects of layer intrinsic anisotropy on seismic dispersion and attenuation, as well as frequency‐dependent anisotropy. It has been found that different matrix or fluid property contrasts between adjacent layers lead to different effects of intrinsic anisotropy. In addition, the effects of intrinsic anisotropy are also influenced by the fluid distribution when both matrix and fluid properties contrast among adjacent layers exist. In the low‐ and high‐frequency limits of wave‐induced fluid flow, our model reduces to the previous known results, which validates the correctness of our model. Our model can be applied in the seismic inversion of physical properties of reservoirs with intrinsic anisotropy, such as shale and tight sandstone reservoirs. In addition, our model can also be extended to cases with more complex intrinsic anisotropy and, thus, can be applied to complex anisotropic fractured reservoirs in the future.

© 2024 European Association of Geoscientists & Engineers. © 2024 European Association of Geoscientists & Engineers.
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2024-08-23
2025-11-07

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References

  1. Alkhalifah, T. (2000) An acoustic wave equation for anisotropic media. Geophysics, 65, 1239–1250.
     [Google Scholar]
  2. Ba, J., Carcione, J.M. & Nie, J.X. (2011) Biot‐Rayleigh theory of wave propagation in double‐porosity media. Journal of Geophysical Research, 116, B06202.
     [Google Scholar]
  3. Biot, M.A. (1956a) Theory of propagation of elastic waves in a fluid‐saturated porous solid. I. Low‐frequency range. Journal of the Acoustical Society of America, 28, 168–178.
     [Google Scholar]
  4. Biot, M.A. (1956b) Theory of propagation of elastic waves in a fluid‐saturated porous solid. II. Higher frequency range. Journal of the Acoustical Society of America, 28, 179–191.
     [Google Scholar]
  5. Biot, M.A. (1962) Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33, 1482–1498.
     [Google Scholar]
  6. Brajanovski, M., Gurevich, B. & Schoenberg, M. (2005) A model for P‐wave attenuation and dispersion in a porous medium permeated by aligned fractures. Geophysical Journal International, 163, 372–384.
     [Google Scholar]
  7. Caspari, E., Novikov, M., Lisitsa, V., Barbosa, N.D., Quintal, B., Rubino, J.G. & Holliger, K. (2019) Attenuation mechanisms in fractured fluid‐saturated porous rocks: a numerical modelling study. Geophysical Prospecting, 67, 935–955.
     [Google Scholar]
  8. Chapman, M. (2003) Frequency dependent anisotropy due to mesoscale fractures in the presence of equant porosity. Geophysical Prospecting, 51, 369–379.
     [Google Scholar]
  9. Ciz, R., Gurevich, B. & Markov, M. (2006) Seismic attenuation due to wave induced fluid flow in a porous rock with spherical heterogeneities. Geophysical Journal International, 165, 957–968.
     [Google Scholar]
  10. Dix, C.H. (1955) Seismic velocities from surface measurements. Geophysics, 20, 68–86.
     [Google Scholar]
  11. Dvorkin, J. & Nur, A. (1993) Dynamic poroelasticity: a unified model with the squirt and the Biot mechanisms. Geophysics, 58, 524–533.
     [Google Scholar]
  12. Dvorkin, J., Mavko, G. & Nur, A. (1995) Squirt flow in fully saturated rocks. Geophysics, 60, 97–107.
     [Google Scholar]
  13. Galvin, R.J. & Gurevich, B. (2009) Effective properties of a poroelastic medium containing a distribution of aligned cracks. Journal of Geophysical Research, 114, B07305.
     [Google Scholar]
  14. Gelinsky, S. & Shapiro, S.A. (1997) Poroelastic Backus averaging for anisotropic layered fluid‐ and gas‐saturated sediments. Geophysics, 62, 1867–1878.
     [Google Scholar]
  15. Guo, J., Gurevich, B. & Chen, X. (2022) Dynamic SV‐wave signatures of fluid‐saturated porous rocks containing intersecting fractures. Journal of Geophysical Research: Solid Earth, 127, e2022JB024745.
     [Google Scholar]
  16. Guo, J., Rubino, J.G., Glubokovskikh, S. & Gurevich, B. (2017) Effects of fracture intersections on seismic dispersion: theoretical predictions versus numerical simulations. Geophysical Prospecting, 65, 1264–1276.
     [Google Scholar]
  17. Guo, J., Shuai, D., Wei, J., Ding, P. & Gurevich, B. (2018) P‐wave dispersion and attenuation due to scattering by aligned fluid saturated fractures with finite thickness: theory and experiment. Geophysical Journal International, 215, 2114–2133.
     [Google Scholar]
  18. Guo, J., Zhao, L., Chen, X., Yang, Z., Li, H. & Liu, C. (2022) Theoretical modelling of seismic dispersion, attenuation and frequency‐dependent anisotropy in a fluid‐saturated porous rock with intersecting fractures. Geophysical Journal International, 230, 580–606.
     [Google Scholar]
  19. Gurevich, B. & Lopatnikov, S.L. (1995) Velocity and attenuation of elastic waves in finely layered porous rocks. Geophysical Journal International, 121, 933–947.
     [Google Scholar]
  20. Gurevich, B., Brajanovski, M., Galvin, R.J., Müller, T.M. & Toms‐Stewart, J. (2009) P‐wave dispersion and attenuation in fractured and porous reservoirs: poroelasticity approach. Geophysical Prospecting, 57, 225–237.
     [Google Scholar]
  21. Hudson, J.A., Liu, E. & Crampin, S. (1996) The mechanical properties of materials with interconnected cracks and pores. Geophysical Journal International, 124, 105–112.
     [Google Scholar]
  22. Jakobsen, M. (2004) The interacting inclusion model of wave‐induced fluid flow. Geophysical Journal International, 158, 1168–1176.
     [Google Scholar]
  23. Kawahara, J. (1992) Scattering of P, SV waves by random distribution of aligned open cracks. Journal of Physics of the Earth, 40, 517–524.
     [Google Scholar]
  24. Kirstetter, O., Corbett, P. & Somerville, J. (2006) Elasticity/saturation relationships using flow simulation from an outcrop analogue for 4D seismic modelling. Petroleum Geoscience, 12, 205–219.
     [Google Scholar]
  25. Kong, L., Gurevich, B., Müller, T.M., Wang, Y. & Yang, H. (2013) Effect of fracture fill on seismic attenuation and dispersion in fractured porous rocks. Geophysical Journal International, 195, 1679–1688.
     [Google Scholar]
  26. Krzikalla, F. & Müller, T.M. (2011) Anisotropic P‐SV‐wave dispersion and attenuation due to inter‐layer flow in thinly layered porous rocks. Geophysics, 76, WA135–WA145.
     [Google Scholar]
  27. Liao, J., Wen, P., Guo, J. & Zhou, L. (2023) Seismic dispersion, attenuation, and frequency‐dependent anisotropy in a fluid‐saturated porous periodically layered medium. Geophysical Journal International, 234, 331–345.
     [Google Scholar]
  28. Maultzsch, S., Chapman, M., Liu, E. & Li, X.Y. (2003) Modelling frequency‐dependent seismic anisotropy in fluid‐saturated rock with aligned fractures: implication of fracture size estimation from anisotropic measurements. Geophysical Prospecting, 51, 381–392.
     [Google Scholar]
  29. Müller, T.M. & Gurevich, B. (2005) Wave induced fluid flow in random porous media: attenuation and dispersion of elastic waves. Journal of the Acoustical Society of America, 117, 2732–2741.
     [Google Scholar]
  30. Müller, T.M., Gurevich, B. & Lebedev, M. (2010) Seismic wave attenuation and dispersion resulting from wave‐induced flow in porous rocks—a review. Geophysics, 75, 75A147–75A164.
     [Google Scholar]
  31. Parra, J.O. (1997) The transversely isotropic poroelastic wave equation including the Biot and the squirt mechanisms theory and application. Geophysics, 62, 309–318.
     [Google Scholar]
  32. Qi, Q., Müller, T.M., Gurevich, B., Lopes, S., Lebedev, M. & Caspari, E. (2014) Quantifying the effect of capillarity on attenuation and dispersion in patchy‐saturated rocks. Geophysics, 79, WB35–WB50.
     [Google Scholar]
  33. Quintal, B., Jänicke, R., Rubino, J.G., Steeb, H. & Holliger, K. (2014) Sensitivity of S‐wave attenuation to the connectivity of fractures in fluid‐saturated rocks. Geophysics, 79, WB15–WB24.
     [Google Scholar]
  34. Ravve, I. & Koren, Z. (2017) Traveltime approximation in vertical transversely isotropic layered media. Geophysical Prospecting, 65, 1559–1581.
     [Google Scholar]
  35. Rubino, J.G., Guarracino, L., Müller, T.M. & Holliger, K. (2013) Do seismic waves sense fracture connectivity?Geophysical Research Letters, 40, 692–696.
     [Google Scholar]
  36. Rubino, J.G., Müller, T.M., Guarracino, L., Milani, M. & Holliger, K. (2014) Seismoacoustic signatures of fracture connectivity. Journal of Geophysical Research, 119, 2252–2271.
     [Google Scholar]
  37. Rubino, J.G., Caspari, E., Müller, T.M., Milani, M., Barbosa, N.D. & Holliger, K. (2016) Numerical upscaling in 2D heterogeneous poroelastic rocks: anisotropic attenuation and dispersion of seismic waves. Journal of Geophysical Research: Solid Earth, 121, 6698–6721.
     [Google Scholar]
  38. Stovas, A. (2015) Azimuthally dependent kinematic properties of orthorhombic media. Geophysics, 80, C107–C122.
     [Google Scholar]
  39. Thomsen, L. (1986) Weak elastic anisotropy. Geophysics, 51, 1954–1966.
     [Google Scholar]
  40. Tsvankin, I. (1997) Anisotropic parameters and P‐wave velocity for orthorhombic media. Geophysics, 62, 1292–1309.
     [Google Scholar]
  41. Wang, Z. (2002) Seismic anisotropy in sedimentary rocks, part 2. Laboratory data. Geophysics, 67, 1423–1440.
     [Google Scholar]
  42. White, J.E. (1975) Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 40, 224–232.
     [Google Scholar]
  43. White, J.E., Mikhaylova, N.G. & Lyakhovitskiy, F.M. (1976) Low‐frequency seismic waves in fluid‐saturated layered rocks. Physics of the Solid Earth, 11, 654–659.
     [Google Scholar]
  44. Xu, S., Stovas, A., Alkhalifah, T. & Mikada, H. (2020) New acoustic approximation for the transversely isotropic medium with a vertical symmetry axis. Geophysics, 85, C1–C12.
     [Google Scholar]
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Dynamic seismic signatures in a fluid‐saturated porous periodically layered medium considering effects of intrinsic anisotropy
Geophysical Prospecting 72, 2810 (2024); https://doi.org/10.1111/1365-2478.13529
/content/journals/10.1111/1365-2478.13529
/content/journals/10.1111/1365-2478.13529
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  • Article Type: Research Article
Keyword(s): acoustics; anisotropy; attenuation; rock physics

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