1887

Abstract

Summary

We consider pore pressure and fluid compressibility effects on rock properties in the case of inhomogeneous solid matrix. For this purpose we propose a model amenable to exact analytical. It consists of similar double-layered spherical shells with a fluid inside. We show how could be realized different values of effective stress coefficient for porosity, give clear interpretation of it. In addition we validate Brown-Korringa approach. Its predictions exactly coincide with the exact solution. At the same time some new theories of poroelasticity gives predictions deviating from the double-shell model results. These theories claim that the porosity pertutbation must be incorporated explicitly in the theory of porous media deformation. We give some possible explanation why this conception is not correct.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.20141027
2014-06-16
2024-04-27
Loading full text...

Full text loading...

References

  1. Berryman, J. G.
    , 1992. Effective stress for transport properties of inhomogeneous porous rock, Journal of Geophysical Research, 97, pp. 17409–17424.
    [Google Scholar]
  2. Brown, R. J. S., and Korringa, J.
    , 1975. On the dependence of the elastic properties of a porous rocks on the compressibility of the pore fluid, Geophysics, 40(4), 608–616.
    [Google Scholar]
  3. Ciz, R., Siggins, A. F., Gurevich, B., Dvorkin, J.
    , 2008. Influence of heterogeneity on effective stress law for elastic properties of rocks, Geophysics, 73(1), E7–E14.
    [Google Scholar]
  4. Detournay, E., and Cheng, A. H. D.
    , 1993. Fundamentals of poroelasticity, in Comprehensive Rock Engineering: Principles, Practice and Projects, Vol. II, Analysis and Design Method, Ed. C.Fairhurst: Pergamon Press, 113–117.
    [Google Scholar]
  5. Gurevich, B.
    , 2004. A simple derivation of the effective stress coefficient for seismic velocities in porous rocks, Geophysics69, 393–397.
    [Google Scholar]
  6. Hart, D. J., and Wang, H. F.
    , 2010. Variation of unjacketed pore compressibility using Gassmann’s equation and an overdetermined set of volumetric poroelastic measurements: Geophysics, 75(1), N9–N18.
    [Google Scholar]
  7. Lomakin, V. A.
    , 1973. Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies, International Applied Mechanics9(10), pp. 1119–1124.
    [Google Scholar]
  8. Mavko, G., T.Mukerji, and J.Dvorkin
    , 1998. The rock physics handbook, Cambridge University Press.
    [Google Scholar]
  9. Milton, G. W.
    , 2002. The theory of composites, Cambridge University Press, 719 p.
    [Google Scholar]
  10. Sahay, P. N.
    , 2013. Biot constitutive relation and porosity perturbation equation, Geophysics, 78(5), L57–L67.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.20141027
Loading
/content/papers/10.3997/2214-4609.20141027
Loading

Data & Media loading...

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