1887

Abstract

Summary

Changes in elastic properties with frequency and stress play a key role in geophysical interpretation and application. The effective stress tensor of an isotropic poroelastic medium is linked with the pore pressure through the Biot parameter (α). This paper provides an independent derivation of the tensor α…j through elastic moduli and its frequency dependency for an anisotropic medium with connected pores saturated with a fluid of low viscosity. We then estimate frequency dependent elastic constants and α…j components for a transversely isotropic (TI) media. We also calculate the α…j components from literature data by inverting ultrasonic velocities of TI rock under uniaxial stress. We notice significant differences between vertical and horizontal components of α specially at surface seismic frequency range and also with stress in both numerically modeled data and experimental data for the TI media.

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/content/papers/10.3997/2214-4609.201901023
2019-06-03
2024-04-27
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References

  1. Aslan, G.
    [2012] Spatial Correlation function and specific problems of reservoir structure. Doctoral dissertation, University of Houston, TX, USA.
    [Google Scholar]
  2. Biot, MA.
    [1962] Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys., 33, 1482–1498.
    [Google Scholar]
  3. Biot, MA. and Willis, D.G.
    [1957] The elastic coefficients of the theory of consolidation. J. App. Mech, 24, 594–601.
    [Google Scholar]
  4. Carroll, M.M.
    [1979] An effective stress law for anisotropic elastic deformation, J Geophys. Res., 84, B13, P.7510–7512.
    [Google Scholar]
  5. Chesnokov, E. M., Kukharenko, Y. A., and Kukharenko, P. A.
    [1995] Method of diagram technique for calculation of effective physical parameters of microinhomogeneous media: SPIE — International Society of Optical Engineers, Mathematical Methods in Geophysical Imaging III, 2571,2–12.
    [Google Scholar]
  6. Chesnokov, E. M., Kukharenko, Y. A. and Kukharenko, P. Y.
    [1998] Frequency dependence of physical parameters of microinhomogeneous media, space statistics:, Revue Del’ Institut Francais Du Petrole, 53, 729–734.
    [Google Scholar]
  7. Jahan, I., Castagna, J., Murphy, M. and Kayali, M. A.
    [2017] Fault detection using principal component analysis of seismic attributes in the Bakken Formation, Williston Basin, North Dakota, USA, Interpretation, 5(3), p. T361–T372.
    [Google Scholar]
  8. Nur, A. and Byerlee, J.D.
    [1971] An exact effective stress law for elastic deformation of rocks with fluids. J. Geophys. Res., 76, 6414–6419.
    [Google Scholar]
  9. Sviridov, V. A., Mayr, S. I. and Shapiro, S. A.
    [2017] Elastic properties of two VTI shale samples as a function of uniaxial stress: Experimental results and application of the porosity-deformation approach, Geophysics, 82(6), C201–C210.
    [Google Scholar]
  10. Terzaghi, K.
    [1936] The shear resistance of saturated soils, Proc. First International Conference on Soil Mechanics & Foundation Engineering, Cambridge, MA, 1, P.54–56.
    [Google Scholar]
  11. Thompson, M., WillisG. R.
    [1991] A reformulation of the equations of anisotropic poroelasticity, J. Appl. Mech., ASME, 58, P 612–616
    [Google Scholar]
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