1887
Volume 64, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Based on the theory of anisotropic elasticity and observation of static mechanic measurement of transversely isotropic hydrocarbon source rocks or rock‐like materials, we reasoned that one of the three principal Poisson's ratios of transversely isotropic hydrocarbon source rocks should always be greater than the other two and they should be generally positive. From these relations, we derived tight physical constraints on , Thomsen parameter δ, and anellipticity parameter η. Some of the published data from laboratory velocity anisotropy measurement are lying outside of the constraints. We analysed that they are primarily caused by substantial uncertainty associated with the oblique velocity measurement. These physical constraints will be useful for our understanding of Thomsen parameter δ, data quality checking, and predicting δ from measurements perpendicular and parallel to the symmetrical axis of transversely isotropic medium. The physical constraints should also have potential application in anisotropic seismic data processing.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12265
2015-07-27
2024-04-19
Loading full text...

Full text loading...

References

  1. AlkhalifahT. and TsvankinI.1995. Velocity analysis for transversely isotropic media. Geophysics60, 1550–1566.
    [Google Scholar]
  2. BanikN.C.1987. An effective anisotropy parameter in transversely isotropic media. Geophysics52, 1654–1664.
  3. BanikN.C.2012. Effects of VTI anisotropy on shale reservoir characterization. SPE Middle East Unconventional Gas Conference and Exhibition, Abu Dhabi, UAE, SPE paper 150269.
  4. BlaksleeO.L., ProctorD.G., SeldinE.J., SpenceG.B. and WengT.1970. Elastic constants of compression annealed pyrolytic graphite. Journal of Applied Physics41, 3373–3382.
    [Google Scholar]
  5. CarcioneJ.M. and CavalliniF.2002. Poisson's ratio at high pore pressure. Geophysical Prospecting50, 97–106.
    [Google Scholar]
  6. ChenevertM.E. and GatlinC.1965. Mechanical anisotropies of laminated sedimentary rocks. SPE paper 890.
  7. ColakK.1998. A study on the strength and deformation anisotropy of coal measure rocks at Zonguldak Basin . PhD thesis, Zonguldak Karaelmas University, Turkey.
  8. DellingerJ.A.1991. Anisotropic seismic wave propagation . PhD thesis, Stanford University, USA.
  9. DellingerJ.A. and VernikL.1994. Do traveltimes in pulse‐transmission experiments yield anisotropic group or phase velocities? Geophysics59, 1774–1779.
    [Google Scholar]
  10. DmitrievS.V., ShigenariT.S. and AbeK.2001. Poisson ratio beyond the limits of the elastic theory. Journal of the Physical Society of Japan70, 1431–1432.
    [Google Scholar]
  11. EvansK.E., NkansahM.A., HutchinsonI.J. and RogersS.C.1991. Molecular network design. Nature353, 124.
    [Google Scholar]
  12. GercekH.2007. Poisson's ratio values for rocks. International Journal of Rock Mechanics & Mining Sciences44, 1–13.
    [Google Scholar]
  13. GreavesG.N., GreerA.L., LakesR.S. and RouxelT.2011. Poisson's ratio and modern materials. Nature Materials10, 823–837.
    [Google Scholar]
  14. GrossT.S., NguyenK., BuckM., TimoshchukN., TsukrovI.I., ReznikB.et al. 2011. Tension‐compression anisotropy of in‐plane elastic modulus for pyrolytic carbon. Carbon49, 2141–2161.
    [Google Scholar]
  15. JakobsenM. and JohansenT.A.2000. Anisotropic approximations for mudrocks: a seismic laboratory study. Geophysics65, 1711–1725.
    [Google Scholar]
  16. JohnstonJ.E. and ChristensenN.I.1995. Seismic anisotropy of shales. Journal of Geophysical Research100, 5591–6003.
    [Google Scholar]
  17. KingM.S.1964. Wave velocities and dynamic elastic moduli of sedimentary rocks . PhD thesis, University of California, Berkeley, USA.
  18. LakesR.1991. Deformation mechanisms in negative Poisson's ratio materials: structural aspects. Journal of Materials Sciences26, 2287–2292.
    [Google Scholar]
  19. LandauL.D. and LifshitzE.M.1970. Theory of Elasticity, 2nd edn. Pergamon Press, p. 14.
    [Google Scholar]
  20. LinW.1985. Ultrasonic velocities and dynamic elastic moduli of Mesaverde rock. Lawrence Livermore National Laboratory. Rep. 20273, rev. 1.
  21. MavkoG., MukerjiT. and DvorkinJ.1998. The Rock Physics Handbook. Cambridge University Press.
    [Google Scholar]
  22. SayersC.M.2004. Seismic anisotropy of shales: what determines the sign of Thomsen's delta parameter? SEG Expanded Abstracts.
  23. SlawinskiM.A., SlawinskiR.A., BrownR.J. and ParkinJ.M.2000. A generalized form of Snell's law in anisotropic media. Geophysics65, 632–637.
    [Google Scholar]
  24. SondergeldC.H. and RaiC.S.2011. Elastic anisotropy of shales. The Leading Edge2011, 325–331.
    [Google Scholar]
  25. SondergeldC.H., RaiC.S., MargessonR.W. and WhiddenK.J.2000. Ultrasonic measurement of anisotropy on the Kimmeridge Shale. SEG Expanded Abstracts.
  26. SoneH.2012. Mechanical properties of shale gas reservoir rocks and its relation to in‐situ stress variation observed in shale gas reservoirs . PhD thesis, Stanford University, USA.
  27. SoneH.2013. Mechanical properties of shale‐gas reservoir rocks Part–1: static and dynamic elastic properties and anisotropy. Geophysics78, D381–D392.
    [Google Scholar]
  28. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  29. ThomsenL.1990. Poisson was not a geophysicist. The Leading Edge.
    [Google Scholar]
  30. TsvankinI., 2012. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media, 3rd edn. SEG.
    [Google Scholar]
  31. VernikL. and LiuX.1997. Velocity anisotropy in shales: a petrophysical study. Geophysics62, 521–532.
    [Google Scholar]
  32. VernikL. and NurA.1992. Ultrasonic velocity and anisotropy of hydrocarbon source rocks. Geophysics57, 727–735.
    [Google Scholar]
  33. WangZ.2002a. Seismic anisotropy in sedimentary rocks, part 1: a single‐plug laboratory method. Geophysics67, 1415–1422.
    [Google Scholar]
  34. WangZ.2002b. Seismic anisotropy in sedimentary rocks, part 2: laboratory data. Geophysics67, 1423–1430.
    [Google Scholar]
  35. YanF., HanD.‐h. and YaoQ.2012. Oil shale anisotropy measurement and sensitivity analysis. SEG Expanded Abstracts.
  36. YanF., HanD.‐h. and YaoQ.2014. Benchtop rotational group velocity measurement on shales. SEG Expanded Abstracts.
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12265
Loading
/content/journals/10.1111/1365-2478.12265
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error