1887
Volume 51, Issue 2
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

ABSTRACT

We evaluate acoustic scattering and Wave Induced Fluid Flow (WIFF) mechanisms as a source of velocity dispersion in experimental compressional P- and shear S- waves. The latter was carried out by implementing the Self Consistent (SC) approach and the Chapmańs squirt flow model over a data set consisting of frequency- and pressure dependent velocities obtained by Sothcott, McCann, and O'Hara (2000, The influence of two different pore fluids on the acoustic properties of reservoir sandstones at sonic and ultrasonic frequencies. , 1883–1886) on brine saturated Clashach sandstones. Modelled velocities are further used to estimate attenuation values for both P- and S- waves. Error estimation between experimental data and theoretical modelling suggest that WIFF is the main mechanism in defining dispersion and attenuation on the studied samples.

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/content/journals/10.1080/08123985.2019.1674278
2020-03-03
2026-01-14
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References

  1. Aki, K., and Richards, P.G. 2002Quantitative seismology. Sausalito, CA: University Science Books.
  2. Athy, L.F. 1930 Density, porosity, and compaction of sedimentary rocks. AAPG Bulletin14: 1–24.
    [Google Scholar]
  3. Batzle, M.L., D.H. Han, and R. Hofmann 2006 Fluid mobility and frequency-dependent seismic velocity — Direct measurements. Geophysics71: N1–N9. doi: 10.1190/1.2159053
    https://doi.org/10.1190/1.2159053 [Google Scholar]
  4. Behura, J., M. Batzle, R. Hofmann, and J. Dorgan 2007 Heavy oils: Their shear story. Geophysics72: E175–E183. doi: 10.1190/1.2756600
    https://doi.org/10.1190/1.2756600 [Google Scholar]
  5. Biot, M.A. 1956a Theory of propagation of elastic waves in a fluid-saturated porous solid .1. Low-frequency range. Journal of the Acoustical Society of America28: 168–178. doi: 10.1121/1.1908239
    https://doi.org/10.1121/1.1908239 [Google Scholar]
  6. Biot, M.A. 1956b Theory of propagation of elastic waves in a fluid-saturated porous solid .2. Higher frequency range. Journal of the Acoustical Society of America28: 179–191. doi: 10.1121/1.1908241
    https://doi.org/10.1121/1.1908241 [Google Scholar]
  7. Birch, F. 1960 The velocity of compressional waves in rocks to 10-kilobars .1. Journal of Geophysical Research65: 1083–1102. doi: 10.1029/JZ065i004p01083
    https://doi.org/10.1029/JZ065i004p01083 [Google Scholar]
  8. Borcherdt, R.D. 1973 Energy and plane waves in linear viscoelastic media. Journal of Geophysical Research78: 2442–2453. doi: 10.1029/JB078i014p02442
    https://doi.org/10.1029/JB078i014p02442 [Google Scholar]
  9. Brace, W.F. 1965 Some new measurements of linear compressibility of rocks. Journal of Geophysical Research70: 391–398. doi: 10.1029/JZ070i002p00391
    https://doi.org/10.1029/JZ070i002p00391 [Google Scholar]
  10. Brunner, W., I. Getting, and H. Spetzler 2003 Device for the independent verification of subresonant mechanical damping measurements. Review of Scientific Instruments74: 2604–2610. doi: 10.1063/1.1561595
    https://doi.org/10.1063/1.1561595 [Google Scholar]
  11. Budiansky, B. 1965 On the elastic moduli of some heterogeneous materials. Journal of the Mechanics and Physics of Solids13: 223–227. doi: 10.1016/0022‑5096(65)90011‑6
    https://doi.org/10.1016/0022-5096(65)90011-6 [Google Scholar]
  12. Chapman, M. 2001 Modelling the wide-band laboratory response of rock samples to fluid and pressure changes. PhD thesis, University of Edinburgh.
  13. Chapman, M., E. Liu, and X.-Y. Li 2006 The influence of fluid-sensitive dispersion and attenuation on AVO analysis. Geophysical Journal International167: 89–105. doi: 10.1111/j.1365‑246X.2006.02919.x
    https://doi.org/10.1111/j.1365-246X.2006.02919.x [Google Scholar]
  14. Chapman, M., S.V. Zatsepin, and S. Crampin 2002 Derivation of a microstructural poroelastic model. Geophysical Journal International151: 427–451. doi: 10.1046/j.1365‑246X.2002.01769.x
    https://doi.org/10.1046/j.1365-246X.2002.01769.x [Google Scholar]
  15. Cheng, C.H., and M.N. Toksöz 1979 Inversion of seismic velocities for the pore aspect ratio spectrum of a rock. Journal of Geophysical Research: Solid Earth84: 7533–7543. doi: 10.1029/JB084iB13p07533
    https://doi.org/10.1029/JB084iB13p07533 [Google Scholar]
  16. Diallo, M.S., M. Prasad, and E. Appel 2003 Comparison between experimental results and theoretical predictions for P-wave velocity and attenuation at ultrasonic frequency. Wave Motion (north-holland Publishing Company)37: 1–16. doi: 10.1016/S0165‑2125(02)00018‑5
    https://doi.org/10.1016/S0165-2125(02)00018-5 [Google Scholar]
  17. Eshelby's, J.D. 1957 The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences241: 376–396. doi: 10.1098/rspa.1957.0133
    https://doi.org/10.1098/rspa.1957.0133 [Google Scholar]
  18. Gardner, G.H.F., L.W. Gardner, and A.R. Gregory 1974 Formation velocity and density—the diagnostic basics for stratigraphic traps. Geophysics39: 770–780. doi: 10.1190/1.1440465
    https://doi.org/10.1190/1.1440465 [Google Scholar]
  19. Gardner, G.H.F., M.R.J. Wyllie, and D.M. Droschak 1965 Hysteresis in the velocity-pressure characteristics of rocks. Geophysics30: 111–116. doi: 10.1190/1.1439524
    https://doi.org/10.1190/1.1439524 [Google Scholar]
  20. Hill, R. 1965 A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids13: 213–222. doi: 10.1016/0022‑5096(65)90010‑4
    https://doi.org/10.1016/0022-5096(65)90010-4 [Google Scholar]
  21. Hornby, B.E. 1998 Experimental laboratory determination of the dynamic elastic properties of wet, drained shales. Journal of Geophysical Research-Solid Earth103: 29945–29964. doi: 10.1029/97JB02380
    https://doi.org/10.1029/97JB02380 [Google Scholar]
  22. Hudson, J.A. 1981 Wave speeds and attenuation of elastic waves in material containing cracks. Geophysical Journal of the Royal Astronomical Society64: 133–150. doi: 10.1111/j.1365‑246X.1981.tb02662.x
    https://doi.org/10.1111/j.1365-246X.1981.tb02662.x [Google Scholar]
  23. Johnston, D.H., M.N. Toksöz, and A. Timur 1979 Attenuation of seismic waves in dry and saturated rocks: II. Mechanisms. Geophysics44: 691–711. doi: 10.1190/1.1440970
    https://doi.org/10.1190/1.1440970 [Google Scholar]
  24. Jones, T.D. 1986 Pore fluids and frequency-dependent wave propagation in rocks. Geophysics51: 1939–1953. doi: 10.1190/1.1442050
    https://doi.org/10.1190/1.1442050 [Google Scholar]
  25. King, M.S., J.R. Marsden, and J.W. Dennis 2000 Biot dispersion for P- and S-wave velocities in partially and fully saturated sandstones. Geophysical Prospecting48: 1075–1089. doi: 10.1111/j.1365‑2478.2000.00221.x
    https://doi.org/10.1111/j.1365-2478.2000.00221.x [Google Scholar]
  26. Kinra, V.K., and A. Anand 1982 Wave propagation in a random particulate composite at long and short wavelengths. International Journal of Solids and Structures18: 367–380. doi: 10.1016/0020‑7683(82)90076‑2
    https://doi.org/10.1016/0020-7683(82)90076-2 [Google Scholar]
  27. Kuster, G.T., and M.N. Toksoz 1974 Velocity and attenuation of seismic-waves in 2-phase media .1. Theoretical formulations. Geophysics39: 587–606. doi: 10.1190/1.1440450
    https://doi.org/10.1190/1.1440450 [Google Scholar]
  28. Lucet, N., P.N.J. Rasolofosaon, and B. Zinszner 1991 Sonic properties of rocks under confining pressure using the resonant bar technique. Journal of the Acoustical Society of America89: 980–990. doi: 10.1121/1.400643
    https://doi.org/10.1121/1.400643 [Google Scholar]
  29. McCann, C., and J. Sothcott 2009 Sonic to ultrasonic Q of sandstones and limestones: Laboratory measurements at in situ pressures. Geophysics74: WA93–WA101. doi: 10.1190/1.3052112
    https://doi.org/10.1190/1.3052112 [Google Scholar]
  30. Melendez-Martinez, J., and D.R. Schmitt 2013 Anisotropic elastic moduli of carbonates and evaporites from the Weyburn-Midale reservoir and seal rocks. Geophysical Prospecting61: 363–379. doi: 10.1111/1365‑2478.12032
    https://doi.org/10.1111/1365-2478.12032 [Google Scholar]
  31. Melendez-Martinez, J., and D.R. Schmitt 2016 A comparative study of the anisotropic dynamic and static elastic moduli of unconventional reservoir shales: Implication for geomechanical investigations. Geophysics81: D245–D261. doi: 10.1190/geo2015‑0427.1
    https://doi.org/10.1190/geo2015-0427.1 [Google Scholar]
  32. Mikhaltsevitch, V., M. Lebedev, and B. Gurevich 2014 A laboratory study of low-frequency wave dispersion and attenuation in water-saturated sandstones. The Leading Edge33: 616–622. doi: 10.1190/tle33060616.1
    https://doi.org/10.1190/tle33060616.1 [Google Scholar]
  33. Müller, T.M., B. Gurevich, and M. Lebedev 2010 Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks — A review. Geophysics75: 75A147–75A164. doi: 10.1190/1.3463417
    https://doi.org/10.1190/1.3463417 [Google Scholar]
  34. Najibi, A.R., and M.R. Asef 2014 Prediction of seismic-wave velocities in rock at various confining pressures based on unconfined data. Geophysics79: D235–D242. doi: 10.1190/geo2013‑0349.1
    https://doi.org/10.1190/geo2013-0349.1 [Google Scholar]
  35. O'Connell, R.J., and B. Budiansky 1977 Viscoelastic properties of fluid-saturated cracked solids. Journal of Geophysical Research82: 5719–5735. doi: 10.1029/JB082i036p05719
    https://doi.org/10.1029/JB082i036p05719 [Google Scholar]
  36. Prasad, M., and M.H. Manghnani 1997 Effects of pore and differential pressure on compressional wave velocity and quality factor in Berea and Michigan sandstones. Geophysics62: 1163–1176. doi: 10.1190/1.1444217
    https://doi.org/10.1190/1.1444217 [Google Scholar]
  37. Sabina, F.J., and J.R. Willis 1988 A simple self-consistent analysis of wave propagation in particulate composites. Wave Motion (north-holland Publishing Company)10: 127–142. doi: 10.1016/0165‑2125(88)90038‑8
    https://doi.org/10.1016/0165-2125(88)90038-8 [Google Scholar]
  38. Sayar, P., and C. Torres-Verdin 2017 Effective medium modeling of velocity dispersion and attenuation in isotropic rocks. Geophysics82: D135–D156. doi: 10.1190/geo2015‑0712.1
    https://doi.org/10.1190/geo2015-0712.1 [Google Scholar]
  39. Schijns, H. 2014 Experimental investigation of seismic velocity dispersion in cracked crystalline rock. PhD thesis, University of Alberta.
  40. Shatilo, A.P., C. Sondergeld, and C.S. Rai 1998 Ultrasonic attenuation in Glenn Pool rocks, northeastern Oklahoma. Geophysics63: 465–478. doi: 10.1190/1.1444348
    https://doi.org/10.1190/1.1444348 [Google Scholar]
  41. Sothcott, J., C. McCann, and S.G. O'Hara 2000 The influence of two different pore fluids on the acoustic properties of reservoir sandstones at sonic and ultrasonic frequencies. 70th SEG Meeting, Expanded Abstracts, 1883–1886.
  42. Spencer, J.W. 1981 Stress relaxations at low frequencies in fluid-saturated rocks: Attenuation and modulus dispersion. Journal of Geophysical Research: Solid Earth86: 1803–1812. doi: 10.1029/JB086iB03p01803
    https://doi.org/10.1029/JB086iB03p01803 [Google Scholar]
  43. Subramaniyan, S., B. Quintal, and E.H. Saenger 2017 Forced oscillation measurements of seismic attenuation in fluid saturated sandstone. Acta Geophysica65: 165–172. doi: 10.1007/s11600‑017‑0014‑0
    https://doi.org/10.1007/s11600-017-0014-0 [Google Scholar]
  44. Toksöz, M.N., D.H. Johnston, and A. Timur 1979 Attenuation of seismic waves in dry and saturated rocks: I. Laboratory measurements. Geophysics44: 681–690. doi: 10.1190/1.1440969
    https://doi.org/10.1190/1.1440969 [Google Scholar]
  45. Tsuji, T., and G.J. Iturrino 2008 Velocity-porosity relationships in oceanic basalt from eastern flank of the Juan de Fuca Ridge: The effect of crack closure on seismic velocity. Exploration Geophysics39: 41–51. doi: 10.1071/EG08001
    https://doi.org/10.1071/EG08001 [Google Scholar]
  46. Valdiviezo-Mijangos, O.C. 2002 Estimating rock effective properties. PhD thesis, National Autonomous University of Mexico.
  47. Valdiviezo-Mijangos, O.C., and R. Nicolás-Lopez 2014 Dynamic characterization of shale systems by dispersion and attenuation of P-and S-waves considering their mineral composition and rock maturity. Journal of Petroleum Science and Engineering122: 420–427. doi: 10.1016/j.petrol.2014.07.041
    https://doi.org/10.1016/j.petrol.2014.07.041 [Google Scholar]
  48. Winkler, K., and A. Nur 1979 Pore fluids and seismic attenuation in rocks. Geophysical Research Letters6: 1–4. doi: 10.1029/GL006i001p00001
    https://doi.org/10.1029/GL006i001p00001 [Google Scholar]
  49. Winkler, K.W. 1983 Frequency dependent ultrasonic properties of high-porosity sandstones. Journal of Geophysical Research: Solid Earth88: 9493–9499. doi: 10.1029/JB088iB11p09493
    https://doi.org/10.1029/JB088iB11p09493 [Google Scholar]
  50. Winkler, K.W., and Murphy, W.F. 2013 Acoustic velocity and attenuation in porous rocks. In Rock physics & phase relations, ed. T. J. Ahrens, 20–34. Washington, DC: American Geophysical Union.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Attenuation; modelling; rock physics

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