Wetting Solution and Electrical Double Layer Contributions to Bulk Electrical Conductivity of Sand–Clay Mixtures

This study investigated the contributions of the wetting liquid and electrical double layers (EDLs) to the bulk electrical conductivity (σ) of sand–clay mixtures. The conductivity is small at small water content due to few conductive pathways and low ionic mobility. The fully expanded state of the EDLs provided the largest σ in distilled water but not in salt solutions. At small water content, σ increases following a logarithmic function, but changes linearly at large water content after reaching a transitional large value. This conductivity increases with increasing electrical conductivity of the wetting solution (σw) exponentially at small water content, but linearly at large water content. Existing bulk electrical conductivity models described the measured σ values well and resulted in stable values of the electrical formation factor (F) and dimensionless parameter. Due to considerable leach cations in the clay, the cations in the bulk solution exerted negligible influence on the surface conductivity (σs). Although F is independent of σw, the confounding effect of shrink–swell in the samples with changing σw shows an apparent dependency of F on σw The surface mobility of the counterions decreased nonlinearly with increasing water‐filled porosity (ϕ), and also with increasing σw The cementation exponent (m) decreased monotonically from −4.4 at ϕ = 0.22 to −94.1 at ϕ = 0.93 in the samples wetted with distilled water. With increasing σw, m also increased. The value of m for three samples wetted with salt solutions of σw = 0.878, 1.273, and 1.572 S m−1 ranged from 2.1 to 2.5 at ϕ = 0.22 and 4.1 to 5.3 at ϕ = 0.93.

[1]  A. Revil,et al.  A triple-layer model of the surface electrochemical properties of clay minerals. , 2004, Journal of colloid and interface science.

[2]  Hideo Komine,et al.  Simplified evaluation for swelling characteristics of bentonites , 2004 .

[3]  A. Revil,et al.  Electrical properties of zeolitized volcaniclastic materials , 2002 .

[4]  Dani Or,et al.  Frequency analysis of time-domain reflectometry (TDR) with application to dielectric spectroscopy of soil constituents , 1999 .

[5]  L. Cathles,et al.  Electrical conductivity in shaly sands with geophysical applications , 1998 .

[6]  Guido Wyseure,et al.  Extension of the measurement range of electrical conductivity by time-domain reflectometry (TDR) , 1997 .

[7]  P. Glover,et al.  Theory of ionic-surface electrical conduction in porous media , 1997 .

[8]  Pride,et al.  Governing equations for the coupled electromagnetics and acoustics of porous media. , 1994, Physical review. B, Condensed matter.

[9]  Shmulik P. Friedman,et al.  Theoretical Prediction of Electrical Conductivity in Saturated and Unsaturated Soil , 1991 .

[10]  Peter J. Shouse,et al.  Soil Electrical Conductivity and Soil Salinity: New Formulations and Calibrations , 1989 .

[11]  I. J. Van Wesenbeeck,et al.  ESTIMATING SPATIAL VARIATIONS OF SOIL WATER CONTENT USING NONCONTACTING ELECTROMAGNETIC INDUCTIVE METHODS , 1988 .

[12]  P. Sen,et al.  Electrolytic conduction in periodic arrays of insulators with charges , 1987 .

[13]  A. E. Bussian Electrical conductance in a porous medium , 1983 .

[14]  Dennis L. Corwin,et al.  Determining Soil Electrical Conductivity-Depth Relations Using an Inductive Electromagnetic Soil Conductivity Meter1 , 1981 .

[15]  D. R. Cameron,et al.  Measurement of Apparent Electrical Conductivity of Soils by an Electromagnetic Induction Probe to Aid Salinity Surveys , 1979 .

[16]  T. Miyamoto,et al.  Effects of Liquid-phase Electrical Conductivity, Water Content, and Surface Conductivity on Bulk Soil Electrical Conductivity1 , 1976 .

[17]  E. C. Thomas The Determination of Qv From Membrane Potential Measurements on Shaly Sands , 1976 .

[18]  J. Patchett An Investigation Of Shale Conductivity , 1975 .

[19]  M. H. Waxman,et al.  Electrical Conductivities in Oil-Bearing Shaly Sands , 1968 .

[20]  R. K. Schofield Calculation of Surface Areas from Measurements of Negative Adsorption , 1947, Nature.

[21]  G. E. Archie The electrical resistivity log as an aid in determining some reservoir characteristics , 1942 .

[22]  D. Corwin,et al.  Determining Soil Electrical Conductivity-Depth Relations Using an Inductive Electromagnetic Soil Conductivity Meter J. D. RHOADES AND D. L. CoRwiN , 2002 .

[23]  Bg Williams,et al.  The use of electromagnetic induction to detect the spatial variability of the salt and clay contents of soils , 1987 .

[24]  J. Beek,et al.  Physico-chemical models , 1982 .

[25]  P. Nye Diffusion of Ions and Uncharged Solutes in Soils and Soil Clays , 1980 .

[26]  A. Blackmore Interpretation of electrical conductivity in a clay soil containing salts , 1978 .