Advertisement

Numerical Calculation of Electric and Elastic Properties of Porous Rocks as a Function of Fluid Saturation

  • U. Fauzi
  • M. B. Mustofa
  • F. D. E. Latief
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

Physical properties (i.e.: electric and elastic properties) of porous media are very important and required in many fields, such as geotechnical engineering, petroleum engineering, geophysics, etc. In this study, calculation of electric and elastic properties is conducted by means of finite element method from digital rock images. Porous rock images used in this study consists of generated numerically artificial rock models and real rocks images taken from micro-CT-scan. Random consolidation processes are applied to generate artificial rocks for different porosity. The porous media is then saturated by fluid and physical properties are calculated at each degree of fluid saturation. Influence of fluid saturation degree on electric and elastic properties of both porous media is analyzed. The results show that fluid saturation changes electric and elastic properties of rocks. Fluid conductivity has quite significant influence on the resistivity. Electrical properties decrease rapidly until 20% of fluid saturation and only slight change for higher saturation. Bulk modulus increases for higher saturation.

Keywords

Electric properties Elastic properties Fluid saturation Finite element method 

References

  1. 1.
    Bussian, A.E.: Electrical conductance in a porous medium. Geophysics 48(9), 1258–1268 (1983)CrossRefGoogle Scholar
  2. 2.
    Cai, J., Wei, W., Hu, X., Wood, D.A.: Electrical conductivity models in saturated porous media: a review. Earth-Sci. Rev. 171, 419–433 (2017)CrossRefGoogle Scholar
  3. 3.
    Alvarez, R.: Effects of atmospheric moisture on rock resistivity. J. Geophys. Res. 78(11), 1769–1779 (1973)CrossRefGoogle Scholar
  4. 4.
    Knight, R.J.: Hysteresis in the electrical resistivity of partially saturated sandstones. Geophysics 56(12), 2139–2147 (1991)CrossRefGoogle Scholar
  5. 5.
    Archie, G.E.: The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics (1942)CrossRefGoogle Scholar
  6. 6.
    Ussher, G., Harvey, C., Johnstone, R., Anderson, E.: Understanding the resistivities observed in geothermal systems. In: Proceedings World Geothermal Congress 2000, Kyusu-Tohoku, pp. 1915–1920 (2000)Google Scholar
  7. 7.
    Latief, F.D.E., Biswal, B., Fauzi, U., Hifler, R.: Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone. Phys. A: Stat. Mech. Appl. 389(8), 1607–1618 (2010)CrossRefGoogle Scholar
  8. 8.
    Feranie, S., Latief, F.D.E.: Tortuosity-porosity relationship in two-dimensional fractal model of porous media. Fractals 21(2), 1–7 (2013)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Garboczi, E.J.: Finite Element and Finite Difference Programs for Computing the Linear Electric and Elastic Properties of Digital Images of Random Materials. NIST (1998)Google Scholar
  10. 10.
    Abousrafa, E.M., Somerville, J.M., Hamilton, S.A., Olden, P.W.H., Smart, B.D.G., Ford, J.: Pore geometrical model for the resistivity of brine saturated rocks. J. Petrol. Sci. Eng. 65, 113–122 (2009)CrossRefGoogle Scholar
  11. 11.
    Latief, F.D.E., Fauzi, U.: Kozeny Carman and empirical formula for the permeability of computer rock models. Int. J. Rock Mech. Min. Sci. 50, 117–123 (2012)CrossRefGoogle Scholar
  12. 12.
    Attia, A.M., Fratta, D., Bassiouni, Z.: Irreducible water saturation from capillary pressure and electrical resistivity measurements. Oil Gas Sci. Technol. 63(2), 203–217 (2008)CrossRefGoogle Scholar
  13. 13.
    Saxena, N., Hofmann, R., Alpak, F.O., Dietderich, J., Hunter, S., Day-Stirrat, R.J.: Effect of image segmentation & voxel size on micro-CT computed effective transport & elastic properties. Mar. Pet. 86, 972–990 (2017)CrossRefGoogle Scholar
  14. 14.
    Green, C.P., Paterson, L.: Analytical three-dimensional renormalization for calculating effective permeabilities. Transp. Porous Media 68(2), 237–248 (2007)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Karim, M.R., Krabbenhoft, K.: New renormalization schemes for conductivity upscaling in heterogeneous media. Transp. Porous Media 85(3), 677–690 (2010)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Arns, C.H., Kancksted, M.A., Pinczewski, W.V., Garboczi, E.J.: Computation of linear elastic properties from microtomographic images: methodology and agreement between theory and experiment. Geophysics 67(5), 1396–1405 (2002)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Institut Teknologi BandungBandungIndonesia

Personalised recommendations