1887
Volume 69, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Fractures usually spread over various scales and strongly influence velocity and anisotropy. We investigate elastic velocity and anisotropy in rocks with fractures of different sizes. Based on synthetic rocks with controlled fracture geometries, we create a set of rocks with fracture diameter of 2, 3 and 4 mm and the fracture thickness is 0.06 mm. P‐ and S‐wave velocities are measured at 0.1 MHz, while the rocks are saturated with water and air. For a fixed measurement frequency (0.1 MHz), velocities are higher in rocks with larger fractures, while anisotropy is higher in rocks with smaller fractures, even for the same fracture density. These phenomena are associated with the wave‐induced fluid flow process. Some novel effective medium theories are adopted to calibrate with the laboratory data and analyse the anisotropy affected by the fluid flow mechanism and fracture size. The results of our study demonstrate the significant effects of fracture scale on wave responses by effective medium theories in different ways. We suggest that these scale effects should be of considerable concern in some disciplines (e.g. shear wave splitting in earth's crust and hydraulic fracture monitoring with microseismic data). Considering the scale effects of fractures, the accuracy during these investigations would be improved.

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2021-06-14
2024-04-23
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References

  1. Barbier, M., Hamon, Y., Callot, J.‐P., Floquet, M. and Daniel, J.‐M. (2012)Sedimentary and diagenetic controls on the multiscale fracturing pattern of a carbonate reservoir: The Madison Formation (Sheep Mountain, Wyoming, USA). Marine and Petroleum Geology, 29, 50–67.
    [Google Scholar]
  2. Barthélémy, J.F. (2009)Effective permeability of media with a dense network of long and micro fractures. Transport in Porous Media, 76, 153–178.
    [Google Scholar]
  3. Bernabé, Y. (1995)The transport properties of networks of cracks and pores. Journal of Geophysical Research: Solid Earth, 100, 4231–4241.
    [Google Scholar]
  4. Berryman, J.G. (1980)Long‐wavelength propagation in composite elastic media II. Ellipsoidal inclusions. Journal of the Acoustical Society of America, 68, 1820–1831.
    [Google Scholar]
  5. Carcione, J., Kosloff, D. and Behle, A. (1991)Long‐wave anisotropy in stratified media: A numerical test. Geophysics, 56, 245–254.
    [Google Scholar]
  6. Chapman, M. (2003)Frequency‐dependent anisotropy due to meso‐scale fractures in the presence of equant porosity. Geophysical Prospecting, 51, 369–379.
    [Google Scholar]
  7. Cheadle, S.P., Brown, R.J. and Lawton, D.C. (1991)Orthorhombic anisotropy: A physical seismic modeling study. Geophysics, 56, 1603–1613.
    [Google Scholar]
  8. Cosentino, L., Coury, Y., Daniel, J., Manceau, E., Ravenne, C., Van Lingen, P., Cole, J. and Sengul, M. (2002)Integrated study of a fractured Middle East reservoir with stratiform Super‐K intervals‐Part 2: Upscaling and dual‐media simulation. SPE Reservoir Evaluation & Engineering, 5, 24–32.
    [Google Scholar]
  9. de Dreuzy, J.‐R., Davy, P. and Bour, O. (2001)Hydraulic properties of two‐dimensional random fracture networks following a power law length distribution: 1. Effective connectivity. Water Resources Research, 37, 2065–2078.
    [Google Scholar]
  10. De Keijzer, M., Hillgartner, H., Al Dhahab, S. and Rawnsley, K. (2007)A surface‐subsurface study of reservoir‐scale fracture heterogeneities in Cretaceous carbonates, North Oman. Geological Society, London, Special Publications, 270, 227–244.
    [Google Scholar]
  11. Dellinger, J. and Vernik, L. (1994)Do traveltimes in pulse‐transmission experiments yield anisotropic group or phase velocities?Geophysics, 59, 1774–1779.
    [Google Scholar]
  12. Ding, P., Di, B., Wang, D., Wei, J. and Li, X. (2014)P and S wave anisotropy in fractured media: Experimental research using synthetic samples. Journal of Applied Geophysics, 109, 1–6.
    [Google Scholar]
  13. Ding, P., Di, B., Wang, D., Wei, J. and Li, X. (2017)Measurements of seismic anisotropy in synthetic rocks with controlled crack geometry and different crack densities. Pure and Applied Geophysics, 174, 1907–1922.
    [Google Scholar]
  14. Ding, P., Wang, D., Di, G. and Li, X. (2019)Investigation of the effects of fracture orientation and saturation on the Vp/Vs ratio and their implications. Rock Mechanics and Rock Engineering, 52, 3293–3304.
    [Google Scholar]
  15. Ding, P., Wang, D. and Li, X.‐Y. (2020)An experimental study on scale‐dependent velocity and anisotropy in fractured media based on artificial rocks with controlled fracture geometries. Rock Mechanics and Rock Engineering, 53, 3149–3159.
    [Google Scholar]
  16. Gale, J.F., Reed, R.M. and Holder, J. (2007)Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments. AAPG Bulletin, 91, 603–622.
    [Google Scholar]
  17. Galvin, R.J. and Gurevich, B. (2015)Frequency‐dependent anisotropy of porous rocks with aligned fractures. Geophysical Prospecting, 63, 1–10.
    [Google Scholar]
  18. Ghasemi, F., Ghaedi, M. and Escrochi, M. (2020)A new scaling equation for imbibition process in naturally fractured gas reservoirs. Advances in Geo‐Energy Research, 4, 99–106.
    [Google Scholar]
  19. Glover, P., Zadjali, I. and Frew, K. (2006)Permeability prediction from MICP and NMR data using an electrokinetic approach. Geophysics, 71, F49‐F60.
    [Google Scholar]
  20. Guerriero, V., Mazzoli, S., Iannace, A., Vitale, S., Carravetta, A. and Strauss, C. (2013)A permeability model for naturally fractured carbonate reservoirs. Marine and Petroleum Geology, 40, 115–134.
    [Google Scholar]
  21. Guo, J., Rubino, J.G., Barbosa, N.D., Glubokovskikh, S. and Gurevich, B. (2018a)Seismic dispersion and attenuation in saturated porous rocks with aligned fractures of finite thickness: Theory and numerical simulations — Part 1: P‐wave perpendicular to the fracture plane. Geophysics, 83, WA49‐WA62.
    [Google Scholar]
  22. Guo, J., Rubino, J.G., Barbosa, N.D., Glubokovskikh, S. and Gurevich, B. (2018b)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, WA63‐WA71.
    [Google Scholar]
  23. Guo, N.‐C., Wang, S.‐X., Dong, C.‐H. and Guo, R. (2012)Description of small scale inhomogeneities in seismic prospecting and long‐wavelength theory. Diqiu Wuli Xuebao, 55, 2385–2401.
    [Google Scholar]
  24. Gurevich, B. (2003)Elastic properties of saturated porous rocks with aligned fractures. Journal of Applied Geophysics, 54, 203–218.
    [Google Scholar]
  25. Hudson, J.A. (1980)Overall properties of a cracked solid. Mathematical Proceedings of the Cambridge Philosophical Society, 88, 371–384.
    [Google Scholar]
  26. Hudson, J.A. (1981)Wave speeds and attenuation of elastic waves in material containing cracks. Geophysical Journal of the Royal Astronomical Society, 64, 133–150.
    [Google Scholar]
  27. Hudson, J.A., Liu, E. and Crampin, S. (1996)The mechanical properties of materials with interconnected cracks and pores. Geophysical Journal International, 124, 105–112.
    [Google Scholar]
  28. Hudson, J.A., Pointer, T. and Liu, E. (2001)Effective‐medium theories for fluid‐saturated materials with aligned cracks. Geophysical Prospecting, 49, 509–522.
    [Google Scholar]
  29. Ikelle, L., Yung, S. and Daube, F. (1993)2‐D random media with ellipsoidal autocorrelation functions. Geophysics, 58, 1359–1372.
    [Google Scholar]
  30. Jannaud, L.R., Adler, P.M. and Jacquin, C.G. (1991)Spectral analysis and inversion of codas. Journal of Geophysical Research: Solid Earth, 96, 18215–18231.
    [Google Scholar]
  31. Jenni, S., Hu, L.Y., Basquet, R., de Marsily, G. and Bourbiaux, B. (2004) History matching of stochastic models of field‐scale fractures: methodology and case study. Paper presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, September 2004.
  32. Johnson, D.L., Koplik, J. and Schwartz, L.M. (1986)New pore‐size parameter characterizing transport in porous media. Physical Review Letters, 57, 2564–2567.
    [Google Scholar]
  33. Katz, A.J. and Thompson, A.H. (1986)Quantitative prediction of permeability in porous rock. Physical Review B, 34, 8179–8181.
    [Google Scholar]
  34. Kfoury, M., Ababou, R., Nœtinger, B. and Quintard, M. (2004)Matrix‐fracture exchange in a fractured porous medium: stochastic upscaling. Comptes Rendus Mécanique, 332, 679–686.
    [Google Scholar]
  35. Li, D., Wei, J., Di, B., Ding, P., Huang, S. and Shuai, D. (2018)Experimental study and theoretical interpretation of saturation effect on ultrasonic velocity in tight sandstones under different pressure conditions. Geophysical Journal International, 212, 2226–2237.
    [Google Scholar]
  36. Liu, N.‐Z., Zou, Y.‐S., Ma, X.‐F., Li, N. and Wu, S. (2019)Study of hydraulic fracture growth behavior in heterogeneous tight sandstone formations using CT scanning and acoustic emission monitoring. Petroleum Science, 16, 396–408.
    [Google Scholar]
  37. Liu, R., Jiang, Y., Huang, N. and Sugimoto, S. (2018a)Hydraulic properties of 3D crossed rock fractures by considering anisotropic aperture distributions. Advances in Geo‐Energy Research, 2(2), 113–121.
    [Google Scholar]
  38. Liu, Y.‐W., Liu, X.‐W., Lu, Y.‐X., Chen, Y.‐Q. and Liu, Z.‐Y. (2018b)Fracture prediction approach for oil‐bearing reservoirs based on AVAZ attributes in an orthorhombic medium. Petroleum Science, 15, 510–520.
    [Google Scholar]
  39. Luo, C., Li, X. and Huang, G. (2017)Application of oil–water discrimination technology in fractured reservoirs using the differences between fast and slow shear‐waves. Journal of Geophysics and Engineering, 14, 723.
    [Google Scholar]
  40. Maultzsch, S., Chapman, M., Liu, E. and 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]
  41. Mavko, G., Mukerji, T. and Dvorkin, J. (2009)The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media. Cambridge University Press.
    [Google Scholar]
  42. Meng, M., Chen, Z., Liao, X., Wang, J. and Shi, L. (2020)A well‐testing method for parameter evaluation of multiple fractured horizontal wells with non‐uniform fractures in shale oil reservoirs. Advances in Geo‐Energy Research, 4, 187–198.
    [Google Scholar]
  43. Mukerji, T., Mavko, G., Mujica, D. and Lucet, N. (1995)Scale‐dependent seismic velocity in heterogeneous media. Geophysics, 60, 1222–1233.
    [Google Scholar]
  44. Pyrak‐Nolte, L.J. and Nolte, D.D. (1992)Frequency dependence of fracture stiffness. Geophysical Research Letters, 19, 325–328.
    [Google Scholar]
  45. Qin, X., Li, X.‐Y., Cao, Z. and Liu, Y. (2018a)The effect of water saturation on P‐wave dispersion in a fractured porous medium with two immiscible fluids. Journal of Geophysics and Engineering, 15, 2556–2565.
    [Google Scholar]
  46. Qin, X., Li, X.‐Y., Chen, S. and Liu, Y. (2018b)The modeling and analysis of frequency‐dependent characteristics in fractured porous media. Journal of Geophysics and Engineering, 15, 1943.
    [Google Scholar]
  47. Rathore, J.S., Fjaer, E., Holt, R.M. and Renlie, L. (1995)P‐ and S‐wave anisotropy of a synthetic sandstone with controlled crack geometry. Geophysical Prospecting, 43, 711–728.
    [Google Scholar]
  48. Sabathier, J.C., Bourbiaux, B.J., Cacas, M.C. and Sarda, S. (1998)A new approach of fractured reservoirs. International Petroleum Conference and Exhibition of Mexico, Villahermosa, Mexico, March 1998.
  49. Shapiro, S.A. and Kneib, G. (1993)Seismic Attenuation By Scattering: Theory and Numerical Results. Geophysical Journal International, 114, 373–391.
    [Google Scholar]
  50. Stephenson, B.J., Koopman, A., Hillgartner, H., McQuillan, H., Bourne, S., Noad, J.J. and Rawnsley, K. (2007)Structural and stratigraphic controls on fold‐related fracturing in the Zagros Mountains, Iran: Implications for reservoir development. In: Lonergan, L., Jolly, R.J.H., Rawnsley, K. and Sanderson, D.J. (Eds) Fractured Reservoirs, Vol. 270. Geological Society, pp. 1–21.
    [Google Scholar]
  51. Tan, P., Jin, Y., Yuan, L., Xiong, Z.‐Y., Hou, B., Chen, M. and Wan, L.‐M. (2019)Understanding hydraulic fracture propagation behavior in tight sandstone–coal interbedded formations: an experimental investigation. Petroleum Science, 16, 148–160.
    [Google Scholar]
  52. Tillotson, P., Chapman, M., Best, A.I., Sothcott, J., McCann, C., Shangxu, W. and Li, X.‐Y. (2011)Observations of fluid‐dependent shear‐wave splitting in synthetic porous rocks with aligned penny‐shaped fractures‡. Geophysical Prospecting, 59, 111–119.
    [Google Scholar]
  53. Tillotson, P., Chapman, M., Sothcott, J., Best, A.I. and Li, X.‐Y. (2014)Pore fluid viscosity effects on P‐ and S‐wave anisotropy in synthetic silica‐cemented sandstone with aligned fractures. Geophysical Prospecting, 62, 1238–1252.
    [Google Scholar]
  54. Tran, N.H., Chen, Z. and Rahman, S.S. (2006)Integrated conditional global optimisation for discrete fracture network modelling. Computers & Geosciences, 32, 17–27.
    [Google Scholar]
  55. Walker, E. and Glover, P. (2010)Permeability models of porous media: Characteristic length scales, scaling constants and time‐dependent electrokinetic coupling. Geophysics, 75, E235‐E246.
    [Google Scholar]
  56. Wang, D., Qu, S.L., Zhao, Q., Yin, X.Y. and Zhou, F. (2017)Laboratory studies of ultrasonic wave response of fractures with different lengths: Anisotropy characteristics and coda analysis. Ultrasonics, 80, 101–112.
    [Google Scholar]
  57. Wuestefeld, A., Kendall, J.M., Verdon, J.P. and van As, A. (2011)In situ monitoring of rock fracturing using shear wave splitting analysis: an example from a mining setting. Geophysical Journal International, 187, 848–860.
    [Google Scholar]
  58. Xu, G., Yin, H., Yuan, H. and Xing, C. (2020)Decline curve analysis for multiple‐fractured horizontal wells in tight oil reservoirs. Advances in Geo‐Energy Research, 4, 296–304.
    [Google Scholar]
  59. Zhang, G., Zhang, Y., Xu, A. and Li, Y. (2019)Microflow effects on the hydraulic aperture of single rough fractures. Advances in Geo‐Energy Research, 3, 104–114.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Acoustics; Anisotropy; Petrophysics; Rock physics

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