1887

Abstract

Summary

The hydraulic conductivity of sediments is an essential parameter for many applications, and thus its estimation from induced polarization (IP) measurements is an important aim of current research. For this purpose, a comprehensive understanding of the processes at the pore scale is necessary. We suggest a membrane polarization model based on a sequence of two cylinders with different size. To account for the complexity of real rock, we combine many impedances calculated for such a 2-cylinder model into a network. We define global network parameters, which we tune in such a way that macroscopic properties, such as specific internal surface area, porosity, and fractal dimension, match those measured for real sandstone samples. Using remaining degrees of freedom of the network we are able to simulate the IP parameters, namely maximum phase shift and relaxation time, of the measured samples. Matching the IP parameters gets more difficult if we also try to constrain the network by data from µ-CT measurements. We conclude that the impedance network has a great potential to connect bulk electrical properties with microscopic geometry.

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/content/papers/10.3997/2214-4609.201702027
2017-09-03
2024-04-19
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References

  1. Bairlein, K., Bücker, M., Hördt, A., Hinze, B., and Nordsiek, S.
    (2016). Temperature dependence of spectral induced polarization data: experimental data and membrane polarization theory. Geoph. J. Int., 205, 440–453.
    [Google Scholar]
  2. Binley, A., Slater, L. D., Fukes, M., and Cassiani, G.
    (2005). Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone. Water Resources Research, 41(W12417).
    [Google Scholar]
  3. Bücker, M. and Hördt, A.
    (2013). Analytical modelling of membrane polarization with explicit parametrization of pore radii and the electrical double layer. Geophysical Journal International, 194:804–813.
    [Google Scholar]
  4. Hördt, A., Bairlein, K., Bielefeld, A., Bücker, M., Kuhn, E., Nordsiek, S., and Stebner, H.
    (2016a). The dependence of induced polarization on fluid salinity and ph, studied with an extended model of membrane polarization. J. Appl. Geoph. 135, 408–417.
    [Google Scholar]
  5. Hördt, A., Bairlein, K., Bücker, M., and Stebner, H.
    (2017). Geometrical contraints for membrane polarization. Near Surface Geophysics, Special Issue: Induced Polarization – narrowing the gap between theory and observations, 2017, submitted.
    [Google Scholar]
  6. Leroy, P., Revil, A., Kemna, A., Cosenza, P., and Ghorbani, A.
    (2008). Complex conductivity of water-saturated packs of glass beads. Journal of Colloid and Interface Science, 321, 103–117.
    [Google Scholar]
  7. Marshall, D. J. and Madden, T. R.
    (1959). Induced polarization, a study of its causes. Society of Exploration Geophysicists, 24(4), 790–816.
    [Google Scholar]
  8. Niu, Q. and Revil, A.
    (2016). Connecting complex conductivity spectra to mercury porosimetry of sedimentary rocks. Geophysics, 81(1), E17–E32.
    [Google Scholar]
  9. Revil, A. and Florsch, N.
    (2010). Determination of permeability from spectral induced polarization in granular media. Geophysical Journal International, 181, 1480–1498.
    [Google Scholar]
  10. Schwarz, G.
    (1962). A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution. The Journal of Physical Chemistry, 66, 2636–2642.
    [Google Scholar]
  11. Titov, K., Tarasov, A., Ilyin, Y., Seleznev, N., and Boyd, A.
    (2010). Relationships between induced polarization relaxation time and hydraulic properties of sandstone. Geophysical Journal International, 180, 1095–1106.
    [Google Scholar]
  12. Weller, A., Slater, L., Nordsiek, S., and Ntarlagiannis, D.
    (2010). On the estimation of specific surface per unit pore volume from induced polarization a robust empirical relation fits multiple data sets. Geophysics, 75(4), WA105–WA112.
    [Google Scholar]
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