93
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Self-consistent and squirt flow modelling of velocity dispersion and attenuation for effective-stress dependent experimental data

, ORCID Icon &
Pages 248-255 | Received 15 Sep 2017, Accepted 26 Jun 2018, Published online: 10 Oct 2019

References

  • Aki, K., and Richards, P.G. 2002. Quantitative seismology. Sausalito, CA: University Science Books.
  • Athy, L.F. 1930. Density, porosity, and compaction of sedimentary rocks. AAPG Bulletin 14: 1–24.
  • Batzle, M.L., D.H. Han, and R. Hofmann. 2006. Fluid mobility and frequency-dependent seismic velocity — Direct measurements. Geophysics 71: N1–N9. doi: 10.1190/1.2159053
  • Behura, J., M. Batzle, R. Hofmann, and J. Dorgan. 2007. Heavy oils: Their shear story. Geophysics 72: E175–E183. doi: 10.1190/1.2756600
  • 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 America 28: 168–178. doi: 10.1121/1.1908239
  • 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 America 28: 179–191. doi: 10.1121/1.1908241
  • Birch, F. 1960. The velocity of compressional waves in rocks to 10-kilobars .1. Journal of Geophysical Research 65: 1083–1102. doi: 10.1029/JZ065i004p01083
  • Borcherdt, R.D. 1973. Energy and plane waves in linear viscoelastic media. Journal of Geophysical Research 78: 2442–2453. doi: 10.1029/JB078i014p02442
  • Brace, W.F. 1965. Some new measurements of linear compressibility of rocks. Journal of Geophysical Research 70: 391–398. doi: 10.1029/JZ070i002p00391
  • Brunner, W., I. Getting, and H. Spetzler. 2003. Device for the independent verification of subresonant mechanical damping measurements. Review of Scientific Instruments 74: 2604–2610. doi: 10.1063/1.1561595
  • Budiansky, B. 1965. On the elastic moduli of some heterogeneous materials. Journal of the Mechanics and Physics of Solids 13: 223–227. doi: 10.1016/0022-5096(65)90011-6
  • Chapman, M. 2001. Modelling the wide-band laboratory response of rock samples to fluid and pressure changes. PhD thesis, University of Edinburgh.
  • Chapman, M., E. Liu, and X.-Y. Li. 2006. The influence of fluid-sensitive dispersion and attenuation on AVO analysis. Geophysical Journal International 167: 89–105. doi: 10.1111/j.1365-246X.2006.02919.x
  • Chapman, M., S.V. Zatsepin, and S. Crampin. 2002. Derivation of a microstructural poroelastic model. Geophysical Journal International 151: 427–451. doi: 10.1046/j.1365-246X.2002.01769.x
  • 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 Earth 84: 7533–7543. doi: 10.1029/JB084iB13p07533
  • 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
  • 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 Sciences 241: 376–396. doi: 10.1098/rspa.1957.0133
  • Gardner, G.H.F., L.W. Gardner, and A.R. Gregory. 1974. Formation velocity and density—the diagnostic basics for stratigraphic traps. Geophysics 39: 770–780. doi: 10.1190/1.1440465
  • Gardner, G.H.F., M.R.J. Wyllie, and D.M. Droschak. 1965. Hysteresis in the velocity-pressure characteristics of rocks. Geophysics 30: 111–116. doi: 10.1190/1.1439524
  • Hill, R. 1965. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 13: 213–222. doi: 10.1016/0022-5096(65)90010-4
  • Hornby, B.E. 1998. Experimental laboratory determination of the dynamic elastic properties of wet, drained shales. Journal of Geophysical Research-Solid Earth 103: 29945–29964. doi: 10.1029/97JB02380
  • 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. doi: 10.1111/j.1365-246X.1981.tb02662.x
  • Johnston, D.H., M.N. Toksöz, and A. Timur. 1979. Attenuation of seismic waves in dry and saturated rocks: II. Mechanisms. Geophysics 44: 691–711. doi: 10.1190/1.1440970
  • Jones, T.D. 1986. Pore fluids and frequency-dependent wave propagation in rocks. Geophysics 51: 1939–1953. doi: 10.1190/1.1442050
  • 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 Prospecting 48: 1075–1089. doi: 10.1111/j.1365-2478.2000.00221.x
  • Kinra, V.K., and A. Anand. 1982. Wave propagation in a random particulate composite at long and short wavelengths. International Journal of Solids and Structures 18: 367–380. doi: 10.1016/0020-7683(82)90076-2
  • Kuster, G.T., and M.N. Toksoz. 1974. Velocity and attenuation of seismic-waves in 2-phase media .1. Theoretical formulations. Geophysics 39: 587–606. doi: 10.1190/1.1440450
  • 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 America 89: 980–990. doi: 10.1121/1.400643
  • McCann, C., and J. Sothcott. 2009. Sonic to ultrasonic Q of sandstones and limestones: Laboratory measurements at in situ pressures. Geophysics 74: WA93–WA101. doi: 10.1190/1.3052112
  • Melendez-Martinez, J., and D.R. Schmitt. 2013. Anisotropic elastic moduli of carbonates and evaporites from the Weyburn-Midale reservoir and seal rocks. Geophysical Prospecting 61: 363–379. doi: 10.1111/1365-2478.12032
  • 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. Geophysics 81: D245–D261. doi: 10.1190/geo2015-0427.1
  • Mikhaltsevitch, V., M. Lebedev, and B. Gurevich. 2014. A laboratory study of low-frequency wave dispersion and attenuation in water-saturated sandstones. The Leading Edge 33: 616–622. doi: 10.1190/tle33060616.1
  • Müller, T.M., B. Gurevich, and M. Lebedev. 2010. Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks — A review. Geophysics 75: 75A147–75A164. doi: 10.1190/1.3463417
  • Najibi, A.R., and M.R. Asef. 2014. Prediction of seismic-wave velocities in rock at various confining pressures based on unconfined data. Geophysics 79: D235–D242. doi: 10.1190/geo2013-0349.1
  • O'Connell, R.J., and B. Budiansky. 1977. Viscoelastic properties of fluid-saturated cracked solids. Journal of Geophysical Research 82: 5719–5735. doi: 10.1029/JB082i036p05719
  • 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. Geophysics 62: 1163–1176. doi: 10.1190/1.1444217
  • 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
  • Sayar, P., and C. Torres-Verdin. 2017. Effective medium modeling of velocity dispersion and attenuation in isotropic rocks. Geophysics 82: D135–D156. doi: 10.1190/geo2015-0712.1
  • Schijns, H. 2014. Experimental investigation of seismic velocity dispersion in cracked crystalline rock. PhD thesis, University of Alberta.
  • Shatilo, A.P., C. Sondergeld, and C.S. Rai. 1998. Ultrasonic attenuation in Glenn Pool rocks, northeastern Oklahoma. Geophysics 63: 465–478. doi: 10.1190/1.1444348
  • 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.
  • Spencer, J.W. 1981. Stress relaxations at low frequencies in fluid-saturated rocks: Attenuation and modulus dispersion. Journal of Geophysical Research: Solid Earth 86: 1803–1812. doi: 10.1029/JB086iB03p01803
  • Subramaniyan, S., B. Quintal, and E.H. Saenger. 2017. Forced oscillation measurements of seismic attenuation in fluid saturated sandstone. Acta Geophysica 65: 165–172. doi: 10.1007/s11600-017-0014-0
  • Toksöz, M.N., D.H. Johnston, and A. Timur. 1979. Attenuation of seismic waves in dry and saturated rocks: I. Laboratory measurements. Geophysics 44: 681–690. doi: 10.1190/1.1440969
  • 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 Geophysics 39: 41–51. doi: 10.1071/EG08001
  • Valdiviezo-Mijangos, O.C. 2002. Estimating rock effective properties. PhD thesis, National Autonomous University of Mexico.
  • 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 Engineering 122: 420–427. doi: 10.1016/j.petrol.2014.07.041
  • Winkler, K., and A. Nur. 1979. Pore fluids and seismic attenuation in rocks. Geophysical Research Letters 6: 1–4. doi: 10.1029/GL006i001p00001
  • Winkler, K.W. 1983. Frequency dependent ultrasonic properties of high-porosity sandstones. Journal of Geophysical Research: Solid Earth 88: 9493–9499. doi: 10.1029/JB088iB11p09493
  • 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.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.