1887
Volume 69, Issue 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Wave‐induced fluid flow plays an important role in affecting the seismic dispersion and attenuation of fractured porous rocks. While numerous theoretical models have been proposed for the seismic dispersion and attenuation in fractured porous rocks, most of them neglect the wave‐induced fluid flow resulting from the background anisotropy (e.g. the interlayer fluid flow between different layers) that can be normal in real reservoirs. Here, according to the theories of poroelasticity, we present an approach to study the frequency‐dependent seismic properties of more realistic and complicated rocks, i.e. horizontally and periodically layered porous rock with horizontal and randomly orienting fractures, respectively, distributed in one of the two periodical layers. The approach accounts for the dual effects of the wave‐induced fluid flow between the fractures and the background pores and between different layers (the interlayer fluid flow). Because (i.e., the modulus of the normally incident P‐wave) is directly related to the P‐wave velocity widely measured in the seismic exploration, and its comprehensive dispersion and attenuation are found to be most significant, we study mainly the effects of fracture properties and the stiffness contrast between the different layers on the seismic dispersion and attenuation of . The results show that the increasing stiffness contrast enhances the interlayer fluid flow of the layered porous rocks with both horizontal and randomly orienting fractures and weakens the wave‐induced fluid flow between the fractures and the background pores, especially for the layered porous rock with horizontal fractures. The modelling results also demonstrate that for the considered rock construction, the increasing fracture density reduces the interlayer fluid flow while improves the dispersion and attenuation in the fracture‐relevant frequency band. Increasing fracture aspect ratio is found to reduce the dispersion and attenuation in the fracture‐relevant frequency band only, especially for the layered porous rock with horizontal fractures.

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2020-12-12
2021-01-18
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References

  1. Amalokwu, K., Best, A.I., Sothcott, J., Chapman, M., Minshull, T. and Li, X.Y. (2014) Water saturation effects on elastic wave attenuation in porous rocks with aligned fractures. Geophysical Journal International, 197(2), 943–947.
    [Google Scholar]
  2. Backus, G.E. (1962) Long‐wave elastic anisotropy produced by horizontal layering. Journal of Geophysical Research, 67(11), 4427–4440.
    [Google Scholar]
  3. Ba, J., Xu, W., Fu, L., Carcione, J.M. and Zhang, L. (2017) Rock anelasticity due to patchy‐saturation and fabric heterogeneity: a double double‐porosity model of wave propagation. Journal of Geophysical Research‐solid earth, 122(3), 1949–1976.
    [Google Scholar]
  4. Ba, J., Zhao, J., Carcione, J.M. and Huang, X. (2016) Compressional wave dispersion due to rock matrix stiffening by clay squirt flow. Geophysical Research Letters, 43(12), 6186–6195.
    [Google Scholar]
  5. Bakulin, A., Grechka, V. and Tsvankin, I. (2000a) Estimation of fracture parameters from reflection seismic data – Part I: HTI model due to a single fracture set. Geophysics, 65(6), 1788–1802.
    [Google Scholar]
  6. Bakulin, A., Grechka, V. and Tsvankin, I. (2000b) Estimation of fracture parameters from reflection seismic data – Part II: Fractured models with orthorhombic symmetry. Geophysics, 65(6), 1803–1817.
    [Google Scholar]
  7. Bakulin, A., Grechka, V. and Tsvankin, I. (2000c) Estimation of fracture parameters from reflection seismic data – Part III: Fractured models with monoclinic symmetry. Geophysics, 65(6), 1818–1830.
    [Google Scholar]
  8. 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(2), 168–178.
    [Google Scholar]
  9. 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(2), 179–191.
    [Google Scholar]
  10. Biot, M.A. (1962) Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33(4), 1482–1498.
    [Google Scholar]
  11. Brajanovski, M., Gurevich, B. and Schoenberg, M. (2005) A model for P‐wave attenuation and dispersion in a porous medium permeated by aligned fractures. Geophysical Journal International, 163(1), 372–384.
    [Google Scholar]
  12. Chapman, M. (2003) Frequency‐dependent anisotropy due to mesoscale fractures in the presence of equant porosity. Geophysical Prospecting, 51(5), 369–379.
    [Google Scholar]
  13. Cheng, W., Ba, J., Carcione, J.M., Fu, L. and Maxim, L. (2019) Wave‐velocity dispersion and rock microstructure. Journal of Petroleum Science and Engineering, 183, 106466.
    [Google Scholar]
  14. Cho, Y., Apaydin, O.G. and Ozkan, E. (2013) Pressure‐dependent natural‐fracture permeability in shale and its effect on shale‐gas well production. Spe Reservoir Evaluation & Engineering, 16(2), 216–228.
    [Google Scholar]
  15. Dupuy, B. and Stovas, A. (2016) Effect of anelastic patchy saturated sand layers on the reflection and transmission responses of a periodically layered medium. Geophysical Prospecting, 64(2), 299–319.
    [Google Scholar]
  16. Dvorkin, J. and Nur, A. (1993) Dynamic poroelasticity: a unified model with the squirt and the Biot mechanisms. Geophysics, 58(4), 524–533.
    [Google Scholar]
  17. Galvin, R.J. and Gurevich, B. (2006) Interaction of an elastic wave with a circular crack in a fluid saturated porous medium. Applied Physics Letters, 88(6), 061918.
    [Google Scholar]
  18. Galvin, R.J. and Gurevich, B. (2007) Scattering of a longitudinal wave by a circular crack in a fluid saturated porous medium. International Journal of Solids and Structures, 44(22), 7389–7398.
    [Google Scholar]
  19. Galvin, R.J. and Gurevich, B. (2015) Frequency‐dependent anisotropy of porous rocks with aligned fractures. Geophysical Prospecting, 63(1), 141–150.
    [Google Scholar]
  20. Gassmann, F. (1951) Über die Elastizität poröser Medien. Vierteljahrsschrift der naturforschenden Gesellschaft in Zürich, 96, 1–23.
    [Google Scholar]
  21. Gelinsky, S. and Shapiro, S.A. (1997) Poroelastic backus averaging for anisotropic layered fluid‐ and gas‐saturated sediments. Geophysics, 62(6), 1867–1878.
    [Google Scholar]
  22. Gelinsky, S., Shapiro, S.A., Muller, T.M. and Gurevich, B. (1998) Dynamic poroelasticity of thinly layered structures. International Journal of Solids and Structures, 35(34), 4739–4751
    [Google Scholar]
  23. Guo, J., Rubino, J.G., Barbosa, N.D., Glubokovskikh, S. and Gurevich, B. (2017) Seismic dispersion and attenuation in saturated porous rocks with aligned fractures of finite thickness: theory and numerical simulations— Part I: P‐wave perpendicular to the fracture plane. Geophysics, 83(1), WA49–WA62.
    [Google Scholar]
  24. Guo, J., Rubino, J.G., Barbosa, N.D., Glubokovskikh, S. and Gurevich, B. (2018) Seismic dispersion and attenuation in saturated porous rocks with aligned fractures of finite thickness: theory and numerical simulations — Part 2: Frequency‐dependent anisotropy. Geophysics, 83(1), WA63–WA71.
    [Google Scholar]
  25. Guo, J., Han, T., Fu, L., Xu, D. and Fang, X. (2019) Effective elastic properties of rocks with transversely isotropic background permeated by aligned penny‐shaped cracks. Journal of Geophysical Research: Solid Earth, 124(1), 400–424.
    [Google Scholar]
  26. Gurevich, B. (2003) Elastic properties of saturated porous rocks with aligned fractures. Journal of Applied Geophysics, 54(3), 203–218.
    [Google Scholar]
  27. Gurevich, B., Brajanovski, M., Galvin, R.J., Müller, T.M. and Toms‐Stewart, J. (2009) P‐wave dispersion and attenuation in fractured and porous reservoirs – poroelasticity approach. Geophysical Prospecting, 57(2), 225–237.
    [Google Scholar]
  28. Hudson, J.A., Liu, E. and Crampin, S. (1996) The mechanical properties of materials with interconnected cracks and pores. Geophysical Journal International, 124(1), 105–112.
    [Google Scholar]
  29. Kachanov, M. (1992) Effective elastic properties of cracked solids: critical review of some basic concepts. Applied Mechanics Reviews, 45(8), 304–335.
    [Google Scholar]
  30. Krzikalla, F. and Müller, T. (2011) Anisotropic p‐sv‐wave dispersion and attenuation due to interlayer flow in thinly layered porous rocks. Geophysics, 76(3), WA135–WA145.
    [Google Scholar]
  31. Liu, Y., Gao, S. and Zeng, Y. (2017) Study of shale micro‐fracture propagation based on tomographic technique. SCIENTIA SINICA Physica, Mechanica & Astronomica, 47(11), 114606
    [Google Scholar]
  32. Markov, M.G. and Yumatov, A.Y. (1988) Acoustic properties of a porous laminated medium. Journal of Applied Mechanics and Technical Physics, 29(1), 107–111.
    [Google Scholar]
  33. Mavko, G., Mukerji, T. and Dvorkin, J. (2009) The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media, 2nd edition. Cambridge University Press.
    [Google Scholar]
  34. Müller, T.M. and Gurevich, B. (2004) One‐dimensional random patchy saturation model for velocity and attenuation in porous rocks. Geophysics, 69(5), 1166–1172.
    [Google Scholar]
  35. Müller, T.M., Gurevich, B. and Lebedeve, M. (2010) Seismic wave attenuation and dispersion resulting from wave‐induced flow in porous rocks – a review. Geophysics, 75(5), 75A147–75A164.
    [Google Scholar]
  36. Norris, A.N. (1993) Low‐frequency dispersion and attenuation in partially saturated rocks. Journal of the Acoustical Society of America, 94(1), 359–370.
    [Google Scholar]
  37. Rozhko, A.Y. (2019) Bulk moduli and seismic attenuation in partially saturated rocks: hysteresis of liquid bridges effect. Geophysical Prospecting, 67, 1404–1430.
    [Google Scholar]
  38. Rozhko, A.Y. (2020) Effective fluid bulk modulus in the partially saturated rock and the amplitude dispersion effects. Journal of Geophysical Research: Solid Earth, 125(3). https://doi.org/10.1029/2019JB018693.
    [Google Scholar]
  39. Schoenberg, M. (1980) Elastic wave behavior across linear slip interfaces. Journal of the Acoustical Society of America, 68(5), 1516–1521.
    [Google Scholar]
  40. Schoenberg, M. and Helbig, K. (1997) Orthorhombic media: modelling elastic wave behavior in a vertically fractured earth. Geophysics, 62(6), 1954–1974.
    [Google Scholar]
  41. Schoenberg, M. and Sayers, C.M. (1995) Seismic anisotropy of fractured rock. Geophysics, 60(1), 204–211.
    [Google Scholar]
  42. Silva, M.B. and Stovas, A. (2009) Correspondence between the low‐and high‐frequency limits for anisotropic parameters in a layered medium. Geophysics, 74(2), WA25–WA33.
    [Google Scholar]
  43. Solazzi, S.G., Jürg, H., Caspari, E., Rubino, J.G., Favino, M. and Holliger, K. (2020) Seismic signatures of fractured porous rocks: the partially saturated case. Journal of Geophysical Research: Solid Earth, 125(8). https://doi.org/10.1029/2020JB019960.
    [Google Scholar]
  44. Stovas, A. (2009) Intrinsic attenuation in a periodically layered medium. EAGE/SEG Research Workshop ‐ Frequency Attenuation and Resolution of Seismic Data, Sep 2009, cp‐137‐00006.
  45. Wang, Z. (2002) Seismic anisotropy in sedimentary rocks, part 2: Laboratory data. Geophysics, 67(5), 1423–1440.
    [Google Scholar]
  46. White, J.E. (1975) Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 40, 224–232.
    [Google Scholar]
  47. Xu, D., Han, T., Liu, S. and Fu, L. (2020) Effects of randomly orienting penny‐shaped cracks on the elastic properties of transversely isotropic rocks. Geophysics, https://doi.org/10.1190/geo2019-0678.1.
    [Google Scholar]
  48. Zhong, J., Liu, S., Yinsheng, M.A., Yin, C., Liu, C., Li, Z., et al. (2015) Macro‐fracture mode and micro‐fracture mechanism of shale. Petroleum Exploration and Development, 42(2), 269–276.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Attenuation , Fracture and Rock physics
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