1887
Volume 67, Issue 7
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

We apply a rock‐physics model that describes the relationship between the effective stress and rock elasticity. We experimentally obtain and analyse a data set containing one vertical transversely isotropic and one orthorhombic shale sample. The vertical transversely isotropic symmetry of the first sample is caused by the layered structure of the rock. The seismic orthorhombicity of the second sample could be explained after microscopic analysis of thin section, which demonstrates an imperfect disorder of inhomogeneities. Both samples were loaded uniaxially in a quasi‐static regime. During the loading, we measured stress‐dependent seismic velocities and sample deformations. For the analysis of the stress‐dependent velocities and stiffnesses, we modelled the measured data set using a recent generalization of the porosity deformation approach. Comparison of the experimentally determined and numerically modelled data supports the applicability of the theory and helps in the interpretation of experimentally obtained data. In agreement with the theory, uniaxial stress increases the elliptic component of the seismic anisotropy and does not impact the anellipticity parameter. We demonstrate the distinct influence of the stiff and compliant porosities on the stress sensitivity of the elastic properties.

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2019-05-29
2024-04-18
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References

  1. AsakaM., SekineT. and K.Furuya. 2016. Geologic cause of seismic anisotropy: a case study from offshore Western Australia. The Leading Edge35, 662–668.
    [Google Scholar]
  2. BruggerK.1964. Thermodynamic definition of higher order elastic coefficients. Physical Review133, A1611.
    [Google Scholar]
  3. CalvertR.2005. Insights and Methods for 4D Reservoir Monitoring and Characterization. Society of Exploration Geophysicists and European Association of Geoscientists and Engineers.
    [Google Scholar]
  4. CadevilleM. and Moran‐LopezJ.L.1987. Magnetism and spatial order in transition metal alloys: experimental and theoretical aspects. Physics Reports153, 331–399.
    [Google Scholar]
  5. CheadleS.P., BrownR.J. and LawtonD.C.1991. Orthorhombic anisotropy: a physical seismic modeling study. Geophysics56, 1603–1613.
    [Google Scholar]
  6. ColletO., GurevichB., MadadiM. and PervukhinaM.2014. Modeling elastic anisotropy resulting from the application of triaxial stress. Geophysics79, C135–C145.
    [Google Scholar]
  7. DavidE.C. and ZimmermanR.W.2012. Pore structure model for elastic wave velocities in fluid‐saturated sandstones. Journal of Geophysical Research: Solid Earth117, 1978–2012.
    [Google Scholar]
  8. DellingerJ. and VernikL.1994. Do traveltimes in pulse‐transmission experiments yield anisotropic group or phase velocities?Geophysics59, 1774–1779.
    [Google Scholar]
  9. DewhurstD.N. and SigginsA.F.2006. Impact of fabric, microcracks and stress field on shale anisotropy. Geophysical Journal International165, 135–148.
    [Google Scholar]
  10. GreenJr., R.E. 1973. Ultrasonic Investigation of Mechanical Properties. Academic Press.
    [Google Scholar]
  11. GurevichB.2004. A simple derivation of the effective stress coefficient for seismic velocities in porous rocks. Geophysics69, 393–397.
    [Google Scholar]
  12. GurevichB., PervukhinaM. and MakarynskaD.2011. An analytic model for the stress‐induced anisotropy of dry rocks. Geophysics76, WA125–WA133.
    [Google Scholar]
  13. Helbig, K. and RasolofosaonP.N.2001. A theoretical paradigm for describing hysteresis and nonlinear elasticity in arbitrary anisotropic rocks. Anisotropy 2000: Fractures, Converted Waves and Case Studies, pp. 383–398. Society of Exploration Geophysicists.
  14. HerwangerJ.V. and HorneS.A.2009. Linking reservoir geomechanics and time‐lapse seismics: predicting anisotropic velocity changes and seismic attributes. Geophysics74, W13–W33.
    [Google Scholar]
  15. HeslopD., McIntoshG. and DekkersM.J.2004. Using time‐and temperature‐dependent Preisach models to investigate the limitations of modelling isothermal remanent magnetization acquisition curves with cumulative log Gaussian functions. Geophysical Journal International157, 55–63.
    [Google Scholar]
  16. HornbyB.E.1998. Experimental laboratory determination of the dynamic elastic properties of wet, drained shales. Journal of Geophysical Research: Solid Earth103, 29945–29964.
    [Google Scholar]
  17. JonesL.E.A. and WangH.F.1981. Ultrasonic velocities in Cretaceous shales from the Williston basin. Geophysics46, 288–297.
    [Google Scholar]
  18. LandauL.D. and LifshitzE.M.1987. Theory of Elasticity (in Russian), Nauka, Glavnaja Redaktsija Phys.‐Math. LIT, Moscow.
    [Google Scholar]
  19. MavkoG., MukerjiT. and GodfreyN.1995. Predicting stress‐induced velocity anisotropy in rocks. Geophysics60, 1081–1087.
    [Google Scholar]
  20. MayrS.I. and BurkhardtH.2006. Ultrasonic properties of sedimentary rocks: effect of pressure, saturation, frequency and microcracks. Geophysical Journal International164, 246–258.
    [Google Scholar]
  21. MayrS.I., NiemannR. and ShapiroS.A.2016. Understanding of elastic anisotropy of shale under triaxial loading: porosity‐deformation approach. Geophysics81, C163–C175.
    [Google Scholar]
  22. NorrisA.N., Sinha, B.K. and KostekS.1994. Acoustoelasticity of solid/fluid composite systems. Geophysical Journal International118, 439–446.
    [Google Scholar]
  23. PervukhinaM., GurevichB., GolodoniucP. and DewhurstD.N.2011. Stress dependency of elastic properties of shales: the effect of uniaxial stress. Annual Meeting, SEG, San Antonio, TX, 2313–2318.
  24. Preisach, F.1935. Über die magnetische Nachwirkung. Zeitschrift für Physik94, 277–302.
    [Google Scholar]
  25. PrideS.R., BerrymanJ.G., CommerM., NakagawaS., NewmanG.A. and VascoD.W. 2017. Changes in geophysical properties caused by fluid injection into porous rocks: analytical models. Geophysical Prospecting65, 766–790.
    [Google Scholar]
  26. PrioulR., BakulinA., and BakulinV., 2004, Nonlinear rock physics model for estimation of 3D subsurface stress in anisotropic formations: theory and laboratory verification. Geophysics69, 415–425.
    [Google Scholar]
  27. RasolofosaonP.N.2011. Toward phenomenological universality of the mechanical behavior of arbitrarily anisotropic porous rocks. Geophysics76, WA167–WA183.
    [Google Scholar]
  28. RasolofosaonP.N. and YinH.1996. Simultaneous Characterization of Anisotropy and Non‐Linearity in Arbitrary Elastic Mediareflections on Experimental Data: Seismic Anisotropy, pp. 141–179. Society of Exploration Geophysicist.
    [Google Scholar]
  29. SaroutJ., Delle PianeC., NadriD., EstebanL. and DewhurstD.N.2014. A robust experimental determination of Thomsens parameter. Geophysics80, A19–A24.
    [Google Scholar]
  30. SaroutJ., MolezL., GuguenY. and HoteitN.2007. Shale dynamic properties and anisotropy under triaxial loading: experimental and theoretical investigations. Physics and Chemistry of the Earth32, 896906.
    [Google Scholar]
  31. SayersC.M.1999. Stress‐dependent seismic anisotropy of shales. Geophysics64, 93–98.
    [Google Scholar]
  32. SayersC.M.2006. Sensitivity of timelapse seismic to reservoir stress path. Geophysical Prospecting54, 369–380.
    [Google Scholar]
  33. ShapiroS.A.2003. Elastic piezosensitivity of porous and fractured rocks. Geophysics68, 482–486.
    [Google Scholar]
  34. ShapiroS.A.2017. Stress impact on elastic anisotropy of triclinic porous and fractured rocks. Journal of Geophysical Research: Solid Earth122, 2034–2053.
    [Google Scholar]
  35. ShapiroS.A. and KaselowA.2005. Porosity and elastic anisotropy of rocks under tectonic stress and pore‐pressure changes. Geophysics70, N27–N38.
    [Google Scholar]
  36. SviridovV.A., MayrS.I. and ShapiroS.A.2017. Elastic properties of two VTI shale samples as a function of uniaxial stress: experimental results and application of porosity‐deformation approach. Geophysics82, C201–C210.
    [Google Scholar]
  37. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  38. TruesdellC.1965. Continuum Mechanics, in Problems of Nonlinear Elasticity, Vol. 4. Gordon and Breach Science Publishers.
    [Google Scholar]
  39. TsvankinI.1996. P‐wave signatures and notation for transversely isotropic media: an overview. Geophysics61, 467–483.
    [Google Scholar]
  40. TsvankinI.1997. Anisotropic parameters and P‐wave velocity for orthorhombic media. Geophysics62, 1292–1309.
    [Google Scholar]
  41. VerdonJ.P., AngusD.A., KendallJ.M. and HallS.A.2008. The effect of microstructure and nonlinear stress on anisotropic seismic velocities. Geophysics73, D41D51.
    [Google Scholar]
  42. VernikL. and LiuX.1997. Velocity anisotropy in shales: a petrophysical study. Geophysics62, 521–532.
    [Google Scholar]
  43. VernikL. and NurA.1992. Ultrasonic velocity and anisotropy of hydrocarbon source rocks. Geophysics57, 727–735.
    [Google Scholar]
  44. WalshJ.1965a. The effect of cracks on the compressibility of rock. Journal of Geophysical Research70, 381–389.
    [Google Scholar]
  45. WalshJ.1965b. The effect of cracks on the uniaxial elastic compression of rocks. Journal of Geophysical Research70, 399–411.
    [Google Scholar]
  46. WangZ.2002a. Seismic anisotropy in sedimentary rocks, part 1: a single‐plug laboratory method. Geophysics67, 1415–1422.
    [Google Scholar]
  47. WangZ.2002b. Seismic anisotropy in sedimentary rocks, part 2: laboratory data. Geophysics67, 1423–1440.
    [Google Scholar]
  48. WinklerK.W. and McGowanL.2004. Nonlinear acoustoelastic constants of dry and saturated rocks. Journal of Geophysical Research: Solid Earth109, B10204.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Anisotropy; Elastics; Modelling; Rock physics

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