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Marine Geophysical Research

, Volume 40, Issue 4, pp 655–664 | Cite as

An effective method for shear-wave velocity prediction in sandstones

  • Jiliang WangEmail author
  • Shiguo Wu
  • Luanxiao Zhao
  • Weiwei Wang
  • Jiangong Wei
  • Jin Sun
Original Research Paper
  • 47 Downloads

Abstract

Shear-wave velocity is essential in various seismic exploration applications, including seismic modeling, amplitude variation with offset analysis, multicomponent seismic data interpretation and other exploration applications. This study presents a simple but effective method for S-wave velocity prediction from P-wave velocity based on granular media model. In the proposed method, the soft-sand, intermediate stiff-sand and stiff-sand models are unified with the expression of the soft-sand model with an effective coordination number. The shear modulus of dry rocks can be related to bulk modulus through the coordination number in the unified model. Elastic-wave velocities of water-saturated rocks at low frequencies can be predicted from the moduli of dry rock using Gassmann’s equation. Thus, the coordination number can be inverted from P-wave velocity of saturated rocks by combining the unified granular media model and Gassmann’s equation. Eventually, S-wave velocity of saturated rock is computed with the inverted effective coordination number. The numerical results indicate that the predicted S-wave velocities agree well with the measured velocities for the laboratory data and well logging data. The proposed method is applicable to sandstones with lithification of large ranges because the unified granular media model accounts for the media between Hashin–Shtrikman lower bound and upper bound. Moreover, the new method is quite suitable for the prediction of S-wave velocity in sandstones deposited in deep-water environment, particularly for turbidite sediment.

Keywords

S-wave velocity prediction Granular-medium model Sandstones 

Notes

Acknowledgements

This work was funded by National Key Research and Development Program of China (No. 2018YFC0310105), Hainan Provincial Natural Science Foundation of China (No. 418MS120), Innovative Research Team Program of Natural Science Foundation of Hainan Province (No. 2018CXTD346), and Major State Basic Research Development Program (2015CB251201). Two anonymous reviewers are  acknowledged for their constructive comments.

References

  1. Avseth P, Dvorkin J, Mavko G, Rykkje J (2000) Rock physics diagnostic of North Sea sands: link between microstructure and seismic properties. Geophys Res Lett 27:2761–2764CrossRefGoogle Scholar
  2. Avseth P, Jørstad A, Van Wijngaarden AJ, Mavko G (2009) Rock physics estimation of cement volume, sorting, and net-to-gross in North Sea sandstones. Lead Edge 28:98–108CrossRefGoogle Scholar
  3. Bachrach R, Avseth P (2008) Rock physics modeling of unconsolidated sands: accounting for nonuniform contacts and heterogeneous stress fields in the effective media approximation with applications to hydrocarbon exploration. Geophysics 73:E197CrossRefGoogle Scholar
  4. Batzle ML, Han DH, Hofmann R (2006) Fluid mobility and frequency-dependent seismic velocity—Direct measurements. Geophys J Soc Explor Geophysicists 71:N1Google Scholar
  5. Biot MA (1962) Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 33:1482–1498CrossRefGoogle Scholar
  6. Bjørlykke K, Jahren J (2010) Sandstones and sandstone reservoirs. In: Petroleum Geoscience. Springer, BerlinCrossRefGoogle Scholar
  7. Castagna JP, Batzle ML, Eastwood RL (1985) Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks. Geophysics 50:571–581CrossRefGoogle Scholar
  8. Dvorkin J, Nur A (1996) Elasticity of high-porous sandstones: theory for two North Sea data sets. Geophysics 61:1363–1370CrossRefGoogle Scholar
  9. Gaiser JE (1996) Multicomponent Vp/Vs correlation analysis. Geophysics 61:1137–1149CrossRefGoogle Scholar
  10. Gassmann F (1951) Über die elastizität poröser medien: Vier. der Natur. Gesellschaft Zürich 96:1–23Google Scholar
  11. Greenberg ML, Castagna JP (1992) Shear-wave velocity estimation in porous rocks—theoretical formulation, preliminary verification and applications. Geophys Prospect 40:195–209CrossRefGoogle Scholar
  12. Han DH, Nur A, Morgan D (1986) Effects of porosity and clay content on wave velocities in sandstones. Geophysics 51:2093–2107CrossRefGoogle Scholar
  13. Hossain Z, Mukerji T, Dvorkin J, Fabricius IL (2011) Rock physics model of glauconitic greensand from the North Sea. Geophysics 76:199CrossRefGoogle Scholar
  14. Jørstad A, Mukerji T, Mavko G (1999) Model-based shear-wave velocity estimation versus empirical regressions. Geophys Prospect 47:785–797CrossRefGoogle Scholar
  15. Kuster GT, Toksoz MN (1974) Velocity and attenuation of seismic waves in two-phase media; Part II, experimental results. Geophysics 39:607CrossRefGoogle Scholar
  16. Lee MW (2006) A simple method of predicting S-wave velocity. Geophysics 71:F161–F164CrossRefGoogle Scholar
  17. Liu Z, Sun SZ (2015) The differential Kuster-Toksöz rock physics model for predicting S-wave velocity. J Geophys Eng 12:839–848CrossRefGoogle Scholar
  18. Mavko G, Mukerji T, Dvorkin J (2009) The rock physics handbook: tools for seismic analysis of porous media. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  19. Mindlin RD (1949) Compliance of elastic bodies in contact. J Appl Mech 16:259–268Google Scholar
  20. Nur AM, Mavko G, Dvorkin J, Gal D (1995) Critical porosity; a key to relating physical properties to porosity in rocks. Lead Edge 17:878–881Google Scholar
  21. Pride SR, Berryman JG, Harris JM (2004) Seismic attenuation due to wave-induced flow. J Geophys Res.  https://doi.org/10.1029/2003JB002639 CrossRefGoogle Scholar
  22. Rutherford SR, Williams RH (1989) Amplitude-versus-offset variations in gas sands. Geophysics 54:680–688CrossRefGoogle Scholar
  23. Sun Z, Jian Z, Stock JM, Larsen HC, Klaus A, Alvarez Zarikian CA, Expedition 367/368 Scientists (2018) Proceedings of the international ocean discovery program, Volume 367/368/Site U1499Google Scholar
  24. Wang Z (2000) Velocity relationships in granular rocks. In: Wang Z, Nur A (eds) Seismic and acoustic velocities in reservoir rocks, pp 145–158Google Scholar
  25. Wang Z (2012) Fundamentals of seismic rock physics. Geophysics 66:398–412CrossRefGoogle Scholar
  26. Winkler JR (1993) Numerical recipes in C: The art of scientific computing. In: W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Cambridge University Press, Cambridge 201Google Scholar
  27. Wood AB (1941) A textbook of sound. G. Bell and sons, LondonGoogle Scholar
  28. Xu S, White RE (1995) A new velocity model for clay-sand mixture. Geophys Prospect 43:91–118CrossRefGoogle Scholar
  29. Xu S, White RE (1996) A physical model for shear-wave velocity prediction. Geophys Prospect 44:687–717CrossRefGoogle Scholar
  30. Yang Y, Yin X, Gao G, Gui Z, Zhao B (2019) Shear-wave velocity estimation for calciferous sandy shale formation. J Geophys Eng 16:105–115CrossRefGoogle Scholar
  31. Zhao L, Han D-H, Yao Q, Zhou R, Yan F (2015) Seismic reflection dispersion due to wave-induced fluid flow in heterogeneous reservoir rocks. Geophysics 80:D221–D235CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institute of Deep Sea Science and EngineeringChinese Academy of SciencesSanyaChina
  2. 2.State Laboratory of Marine GeologyTongji UniversityShanghaiChina
  3. 3.Guangzhou Marine Geological SurveyGuangzhouChina

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