1887
Volume 22, Issue 4
  • ISSN: 1569-4445
  • E-ISSN: 1873-0604
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Abstract

Summary

The recent developments of electromagnetic induction and electrostatic prospection devices dedicated to critical zone surveys in both rural and urban contexts necessitate improving the interpretation of electrical properties through complementary laboratory studies. In a first interpretation step, the various experimental results obtained in the 100 Hz–10 MHz frequency range can be empirically fitted by a simple six‐term formula. It allows the reproduction of the logarithmic decrease of the real component of the effective relative permittivity and its corresponding imaginary component, the part associated with the direct current conductivity, one Cole–Cole relaxation and the real and imaginary components of the high‐frequency relative permittivity. For elucidating physical phenomena contributing to both the logarithmic decrease and the observed Cole–Cole relaxation, we first consider the Maxwell–Wagner–Sillars polarization. Using the method of moments, we establish that this continuous medium approach can reproduce a large range of relaxation characteristics. At the microscopic scale, the possible role of the rotation of the water molecules bound to solid grains is then investigated. In this case, contrary to the Maxwell–Wagner–Sillars approach, the relaxation parameters do not depend on the external medium properties.

© 2024 European Association of Geoscientists & Engineers. © 2024 The Authors. Near Surface Geophysics published by John Wiley & Sons Ltd on behalf of European Association of Geoscientists and Engineers.
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2024-07-21
2025-12-10

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References

  1. Abdulsamad, F., Florsch, N. & Camerlynck, C. (2017) Spectral induced polarization in a sandy medium containing semiconductor materials: experimental results and numerical modelling of the polarization mechanism. Near Surface Geophysics, 15(6), 669–682.
     [Google Scholar]
  2. Albrecht, R., Gourry, J.‐C., Simonnot, M.‐O. & Leyval, C. (2011) Complex conductivity response to microbial growth and biofilm formation on phenanthrene spiked medium. Journal of Applied Geophysics, 75, 558–564.
     [Google Scholar]
  3. Alvarez, R. (1973) Complex dielectric permittivity in rocks: a method for its measurement and analysis. Geophysics, 38(5), 920–940.
     [Google Scholar]
  4. Auken, E., Foged, N., Larsen, J.J., Lassen, K.V.T., Maurya, P.K., Moller‐Dath, S., et al. (2019) tTEM—a towed transient electromagnetic system for detailed 3D imaging of the top 70 m of the subsurface. Geophysics, 84(1), E13–E22.
     [Google Scholar]
  5. Binley, A. & Slater, L. (2020) Resistivity and induced polarization: theory and applications to the near‐surface earth. Cambridge: Cambridge University Press.
     [Google Scholar]
  6. Bobrov, P.P., Golikov, N.A., Kroshka, E.S. & Repin, A.V. (2022) Assessment of the permeability and pore size of quartz‐based consolidated sedimentary rocks by dielectric spectroscopy in the frequency range of 1 kHz–500 MHz. Journal of Applied Geophysics, 204, 104750.
     [Google Scholar]
  7. Bröner, F. (2009) Complex conductivity measurements. In: Kirsch, R. (Ed.) Groundwater geophysics—a tool for hydrogeology. Berlin, Germany: Springer, pp. 119–153.
     [Google Scholar]
  8. Bücker, M., Flores Orozco, A., Undorf, S. & Kemna, A. (2019) On the role of Stern‐and diffuse‐layer polarization mechanisms in porous media. Journal of Geophysical Research: Solid Earth, 124(6), 5656–5677.
     [Google Scholar]
  9. Bücker, M. & Hördt, A. (2013) Analytical modelling of membrane polarization with explicit parameterization of pore radii and the electrical double layer. Geophysical Journal International, 194(2), 804–813.
     [Google Scholar]
  10. Calvet, R. (1975) Dielectric properties of montmorillonites saturated by bivalent cations. In: Clay and clay minerals, vol. 23. Berlin: Springer, pp. 257–265.
     [Google Scholar]
  11. Capello, M.A., Shaughnessy, A. & Caslin, E. (2021) The geophysical sustainability atlas: mapping geophysics to the UN Sustainable Development Goals. The Leading Edge, 40(1), 10–24.
     [Google Scholar]
  12. Cole, K.S. & Cole, R.H. (1941) Dispersion and absorption in dielectrics 1. Alternating current characteristics. Journal of Chemical Physics, 9, 341–351.
     [Google Scholar]
  13. Corwin, D.L. & Lesch, S.M. (2003) Application of soil electrical conductivity to precision agriculture: theory, principles, and guidelines. Agronomy Journal, 95(3), 455–471.
     [Google Scholar]
  14. Garrouch, A.A. & Sharma, M.M. (1994) The influence of clay content, salinity, stress, and wettability on the dielectric properties of brine‐saturated rocks: 10 Hz to 10 MHz. Geophysics, 59(6), 909–917.
     [Google Scholar]
  15. Gebbers, R., Lück, E., Dabas, M. & Domsch, H. (2009) Comparison of instruments for geoelectrical soil mapping at the field scale. Near Surface Geophysics, 7(3), 179–190.
     [Google Scholar]
  16. Glaser, D.R. (2021) A site‐specific comparison of permeability prediction models in alluvial sediments from physical and geoelectrical measurements. Journal of Environmental and Engineering Geophysics, 26(4), 315–322.
     [Google Scholar]
  17. Glaser, D.R., Barrowes, B.E., Shubitidze, F. & Slater, L.D. (2023) Laboratory investigation of high‐frequency electromagnetic induction measurements for macro‐scale relaxation signatures. Geophysical Journal International, 235(2), 1274–1291.
     [Google Scholar]
  18. Glaser, D.R, Shubitidze, F. & Barrowes, B.E. (2022) Standoff high‐frequency electromagnetic induction response of unsaturated sands: a tank‐scale feasibility study. Journal of Environmental and Engineering Geophysics, 27, 45–51.
     [Google Scholar]
  19. Goldsmith, B.J. & Muir, J. (1960) Surface ion effects in the dielectric properties of adsorbed water films. Transactions of Faraday Society, 56, 1656–1661.
     [Google Scholar]
  20. Gregory, A.P. & Clarke, R.N. (2005) Traceable measurements of the static permittivity of dielectric reference liquids over the temperature range 5–50°C. Measurement Science and Technology, 16, 1506–1516.
     [Google Scholar]
  21. Hall, P.G. & Rose, M.A. (1978) Dielectric properties of water adsorbed by kaolinite clays. Journal of Chemical Society, Faraday Transactions 1, 74, 1221–1233.
     [Google Scholar]
  22. Hermans, T., Goderniaux, P., Jougnot, D., Fleckenstein, J.H., Brunner, P., Nguyen, F. & Le Borgne, T. (2023) Advancing measurements and representations of subsurface heterogeneity and dynamic processes: towards 4D hydrogeology. Hydrology and Earth System Sciences, 27(1), 255–287.
     [Google Scholar]
  23. Howell, B.F. & Licastro, P.H. (1961) Dielectric behavior of rocks and minerals. American Mineralogist, 46, 269–288.
     [Google Scholar]
  24. Ishai, P.B., Talary, M.S., Caduff, A., Levy, E. & Feldman, Y. (2013) Electrode polarization in dielectric measurements: a review. Measurement Science and Technology, 24, 102001.
     [Google Scholar]
  25. Jonscher, A.K. (1977) The ‘universal’ dielectric response. Nature, 267, 673–679.
     [Google Scholar]
  26. Jonscher, A.K. (1981) Review. A new understanding of the dielectric relaxation of solids. Journal of Material Science, 16, 2037–2060.
     [Google Scholar]
  27. Kaviratna, P.D., Pinnavaia, T.J. & Schroeder, P.A. (1996) Dielectric properties of smectite clays. Journal of Physical Chemistry of Solids, 57(12), 1897–1906.
     [Google Scholar]
  28. Keller, G.V. & Licastro, P.H. (1959) Dielectric constant and electrical resistivity of natural‐state cores. Geological Survey Bulletin 1052‐H, 30 p.
  29. Kemna, A., Binley, A., Cassiani, G., Niederleithinger, E., Revil, A., Slater, L., et al. (2012) An overview of the spectral induced polarization method for near‐surface applications. Near Surface Geophysics, 10, 453–468.
     [Google Scholar]
  30. Kessouri, P., Flageul, S., Vitale, Q., Buvat, S., Rejiba, F., Tabbagh, A. (2016) Medium‐frequency electromagnetic device to measure electric conductivity and dielectric permittivity of soils. Geophysics, 81(1), E1–E16.
     [Google Scholar]
  31. Kessouri, P., Furman, A., Huisman, J.A., Martin, T., Mellage, A., Ntarlagiannis, D., et al. (2019) Induced polarization applied to biogeophysics: recent advances and future prospects. Near Surface Geophysics, 17 (6), 595–621.
     [Google Scholar]
  32. Knight, R.M. & Nur, A. (1987) The dielectric constant of sandstones, 60 kHz to 4 MHz. Geophysics, 52(5), 644–654.
     [Google Scholar]
  33. Koch, K., Kemna, A., Irving, J. & Holliger, K. (2011) Impact of changes in grain size and pore space on the hydraulic conductivity and spectral induced polarization response of sand. Hydrology and Earth System Sciences, 15, 1785–1794.
     [Google Scholar]
  34. Kuras, O., Beamish, D., Meldrum, P.I. & Ogilvy, R.D. (2006) Fundamentals of capacitive resistivity technique. Geophysics, 71(3), G135–G152.
     [Google Scholar]
  35. Leroy, P. & Revil, A. (2009) A mechanistic model for the spectral induced polarization of clay minerals. Journal of Geophysical Research, 114, B10202.
     [Google Scholar]
  36. Lesmes, D.P. & Frye, K.M. (2001) Influence of pore fluid chemistry on the complex conductivity and induced polarization responses of Berea sandstone. Journal of Geophysical Research, 106(B3), 4079–4090.
     [Google Scholar]
  37. (de) Lima, O.A. L. & Sharma, M.M. (1992) A generalized Maxwell–Wagner theory for membrane polarization in shaly sands. Geophysics, 57(3), 431–440.
     [Google Scholar]
  38. Loewer, M., Günther, T., Igel, J., Martin, T., Kruschwitz, S. & Wagner, N. (2017) Ultra‐broadband electrical spectroscopy of soils and sediments—a combined permittivity and conductivity model. Geophysical Journal International, 210, 1360–1373.
     [Google Scholar]
  39. Mamy, J. (1968) Recherches sur l'hydratation de la montmorillonite: propriétés dié1ectriques et structure du film d'eau [Thèse, Faculté des Sciences, Paris].
  40. Muir, J. (1954) Dielectric loss in water films adsorbed by some silicate clay minerals. Transactions of Faraday Society, 50, 249–254.
     [Google Scholar]
  41. Mullins, C.E. & Tite, M.S. (1973) Magnetic viscosity, quadrature susceptibility and frequency dependence of susceptibility in single‐domain assemblies of magnetite and maghemite. Journal of Geophysical Research, 78(5), 804–809.
     [Google Scholar]
  42. Nelson, S.M., Huang, H.H. & Sutton, L.E. (1969) Dielectric study of water, ethanol and acetone adsorbed on Kaolinite. Transactions of Faraday Society, 65, 225–243.
     [Google Scholar]
  43. Niu, Q., Zhang, C. & Prasad, M., (2020). A framework for pore‐scale simulation of effective electrical conductivity and permittivity of porous media in the frequency range from 1 mHz to 1 GHz. Journal of Geophysical Research: Solid Earth, 125(10), e2020JB020515.
     [Google Scholar]
  44. Nordsiek, S., Diamantopoulos, E., Hördt, A. & Durner, W. (2016). Relationships between soil hydraulic parameters and induced polarization spectra. Near Surface Geophysics, 14, 23–37.
     [Google Scholar]
  45. Ntarlagiannis, D. & Ferguson, A., (2009). SIP response of artificial biofilms. Geophysics, 74(1), A1–A5.
     [Google Scholar]
  46. Pellerin, L. (2002) Applications of electrical and electromagnetic methods for environmental and geotechnical investigations. Survey of Geophysics, 23(2), 101–132.
     [Google Scholar]
  47. Revil, A. (2013) Effective conductivity and permittivity of unsaturated porous materials in the frequency range 1 mHz–1 GHz. Water Resource Research, 49, 306–327.
     [Google Scholar]
  48. Revil, A., Binley, A., Mejus, L. & Kessouri, P. (2015) Predicting permeability from the characteristic relaxation time and intrinsic formation factor of complex conductivity spectra. Water Resources Research, 51, 6672–6700.
     [Google Scholar]
  49. Robinson, J., Slater, L., Weller, A., Keating, K., Robinson, T., Rose, C., et al. (2018) On permeability prediction from complex conductivity measurements using polarization magnitude and relaxation time. Water Resources Research, 54, 3436–3452,
     [Google Scholar]
  50. Samouëlian, A., Cousin, I., Tabbagh, A., Bruand, A. & Richard, G. (2005) Electrical resistivity survey in soil science: a review. Soil & Tillage Research, 83, 173–193.
     [Google Scholar]
  51. Schamper, C., Tabbagh, A., Flageul, S., Benech, C., Vitale, Q., Clément, B., et al. (2021) Electrostatic profiling and mapping of electrical resistivity and dielectric permittivity in an urban context—application to an archaeological site in Vienne (France). In: 27th European Meeting of Environmental and Engineering Geophysics, Bordeaux, France, Near Surface Geophysics conference, EAGE, August 28–September 1.
  52. Scott, J.H., Carroll, R.D. & Cunningham, D.R. (1967) Dielectric constant and electrical conductivity measurements of moist rock: a new laboratory method. Journal of Geophysical Research, 72, 5105–5115.
     [Google Scholar]
  53. Sillars, R.W. (1937) The properties of a dielectric containing semiconducting particles of various shapes. Journal of Institute of Electrical Engineering. 80, 378–394.
     [Google Scholar]
  54. Simon, F.‐X., Tabbagh, A., Donati, J.C. & Sarris, A. (2019) Permittivity mapping in the VLF‐LF range using a multi‐frequency EMI device: first tests in archaeological prospection. Near Surface Geophysics, 17(1), 27–41.
     [Google Scholar]
  55. Slater, L.D. & Glaser, D.R., (2003). Controls on induced polarization in sandy unconsolidated sediments and application to aquifer characterization. Geophysics, 68, 1542–1558.
     [Google Scholar]
  56. Smith‐Rose, R.L. (1933) The electrical properties of soil for alternating currents at radio frequencies. Proceedings of the Royal Society of London, 140, 359–377.
     [Google Scholar]
  57. Souffaché, B., Kessouri, P., Blanc, P., Thiesson, J. & Tabbagh, A. (2016) First investigations of in situ electrical properties of limestone blocks of ancient monuments. Archaeometry, 58(5), 705–721.
     [Google Scholar]
  58. Souffaché, B. & Tabbagh, A. (2021) Laboratory study of the electrical properties of Lutetian limestones in the 100 Hz to 10 MHz frequency range. Near Surface Geophysics, 19(5), 573–582.
     [Google Scholar]
  59. Tabbagh, A., Hesse, A. & Grard, R. (1993) Determination of electrical properties of the ground at shallow depth with an electrostatic quadrupole: field trials on archaeological sites. Geophysical Prospecting, 41, 579–597.
     [Google Scholar]
  60. Tabbagh, A., Panissod, C., Guérin, R. & Cosenza, P. (2002) Numerical modelling of the role of water and clay content in soil and rock bulk electrical conductivity. Journal of Geophysical Research, 107(B11), 2318,.
     [Google Scholar]
  61. Tabbagh, A., Rejiba, F., Finco, C., Schamper, C., Souffaché, B., Camerlynck, C., Thiesson, J., Jougnot, D. & Maineult, A. (2021) The case for considering polarization in the interpretation of electrical and electromagnetic measurements in the 3 kHz to 3 MHz frequency range. Surveys in Geophysics, 42(2), 377–397.
     [Google Scholar]
  62. Topp, G.C., Davis, J.L. & Annan, A.P. (1980) Electromagnetic determination of soil water content: measurements in coaxial transmission lines. Water Resources Research, 16, 574–582.
     [Google Scholar]
  63. Vasilyeva, M.A., Gusev, Y.A., Shtyrlin, V.G., Greenbaum, A., Puzenko, A., Ben Ishai, P., et al. (2014) Dielectric relaxation of water in clay minerals. Clays and Clay Minerals, 62(1), 62–73.
     [Google Scholar]
  64. Viscarra Rossel, R.A. & Adamchuk, V.I. (2013) Proximal soil sensing. In: Precision agriculture for sustainability and environmental protection. Abington on Thames, UK: Routledge, Taylor & Francis Group.
     [Google Scholar]
  65. Woodward, W.H. H. (2021) Broadband dielectric spectroscopy: a modern analytical technique [Symposium Series]. Washington, DC: American Chemical Society.
     [Google Scholar]
  66. Wright, D.L., Smith, D.V., Abraham, J.D., Hutton, R.S., Bond, E.K., Cui, T.J., Alaeddin, A.A. & Chew, W.C. (2000) Imaging and modeling new VETEM dataProceedings of SPIE, 4084, 146–150
     [Google Scholar]
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Experimental and numerical analysis of dielectric polarization effects in near‐surface earth materials in the 100 Hz–10 MHz frequency range: First interpretation paths
Near Surface Geophysics 22, 468 (2024); https://doi.org/10.1002/nsg.12302
/content/journals/10.1002/nsg.12302
/content/journals/10.1002/nsg.12302
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  • Article Type: Research Article
Keyword(s): dielectric properties; electromagnetism; hydrogeophysics; modelling

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