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Low Frequency Impedance Behavior of Montmorillonite Suspensions

Polarization Mechanisms in the Low Frequency Domain

Lynn M. Dudley*,a, Stephen Bialkowskic, Dani Orb and Chad Junkermeierd

a Dep. of Plants, Soils and Biometeorology, Utah State University, Logan, UT 84322
b Northeast Foundation Utilities Professor, Dep. Civil and Environmental Engineering, Univ. of Connecticut, 261 Glenbrook Road, Unit 2037, Storrs, CT 06269-2037
c Chemistry and Biochemistry Dep., Utah State University, Logan, UT 84322
d Physics Dep., Utah State University, Logan, UT 84322



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Fig. 1. (a) A schematic representation (brick model) of the assembly of the clay and solution effective media and (b) the corresponding equivalent circuit (Bonanos et al., 1981). Re is the electrode impedance, gs is the conductivity of the solution element, cs is the capacitance of the solution element, gc is the conductivity of the moist clay element, and cc is the capacitance of the moist clay element.

 


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Fig. 2. An impedance plane plot of the real (') and imaginary (") components of the impedance, Z, and modulus, M ({epsilon}-1), for the small particle-size separate of Ca-saturated clay (data collected at 55°C).

 


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Fig. 3. Real and imaginary components of the immittance (Z/R0) spectrum for the small particle size separate of Ca-saturated clay (at 55°C). The fit curve is reproduced from the relaxation time distributions estimated from an expectation maximization algorithm.

 


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Fig. 4. Relaxation time distribution (a) extracted from the imaginary component of the immittance (Z"/R0) spectrum for the small particle size separate, Ca-saturated clay suspension. The temperature of the suspension was 55°C.

 


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Fig. 5. Measured and equivalent-circuit model predicted impedance spectra for the small particle-size separate of the Ca-saturated (a) and Na-saturated (b) clay at 25°C.

 


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Fig. 6. Measured and equivalent circuit model predicted impedance spectra for the Ca-saturated clay using the clay element conductivity computed for the Na-saturated clay.

 


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Fig. 7. The real components of the permittivity (a) and conductivity (b) computed by the Debye-relaxation model and measured for the Ca-clay suspension.

 


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Fig. 8. The real components of the permittivity (a) and conductivity (b) computed by the Debye-relaxation model and measured for the Na-clay suspension.

 


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Fig. 9. The real components of the permittivity (a) and conductivity (b) computed by the mixing model and measured for the Ca-clay suspension.

 


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Fig. 10. The real components of the permittivity (a) and conductivity (b) computed by the mixing model and measured for the Na-clay suspension.

 





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