TECHNICAL PAPERS
Aug 1, 1995

Frequency-Domain Analysis of Electrical Dispersion of Soils

Publication: Journal of Geotechnical Engineering
Volume 121, Issue 8

Abstract

A theoretical frequency-domain general solution for the electric dispersion of soils is presented here. The theory rigorously takes into account the effects of particle shape, frequency, soil mineralogy, pore fluid type, porosity, solid-fluid interaction, anisotropy, and direction of measurement. The electric dispersion of soils is affected by the preceding basic soil parameters and the ratio of effective permittivities (βε21) and conductivities (βσ21) of the solid particles (subscript 2) and pore fluid (subscript 1). In general, the response can be categorized into three cases, βσε< 1, βεσ< 1, and βε< 1 <βσ, each representing a distinct soil-fluid interaction phenomena. No dispersion is observed for βσε. Effects of factors such as particle shape, orientation, etc. on dispersion are different in each case. Good comparisons are observed between the theory and experimental data. Results indicate that frequency-domain interpretation of the dispersion data be used to predict soil microstructure, soil and pore fluid type and interaction, porosity, particle characteristics, anisotropy, and geoenvironmental conditions at a site. These parameters can then be related to engineering soil behavior parameters in a fundamental way.

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References

1.
Archie, G. E. (1942). “The electric resistivity logs as an aid in determining some reservoir characteristics.”Trans. AIME, Vol. 146, 54–61.
2.
Arulanandan, K.(1991). “Dielectric method for prediction of porosity of saturated soil.”J. Geotech. Engrg., ASCE, 117(2), 319–330.
3.
Arulanandan, K., and Smith, S. S.(1973). “Electrical dispersion in relation to soil structure.”J. Geotech. Engrg., ASCE, 99(12), 1113–1133.
4.
Campanella, R. G., and Weemees, I.(1990). “Development and use of an electrical resistivity cone for groundwater contamination studies.”Can. Geotech. J., Ottawa, Canada, 27(5), 557–567.
5.
Chew, W. C., and Sen, P. N.(1982). “Dielectric enhancement due to electrochemical double layer: thin double layer approximation.”J. Chem. and Phys., 77(9), 4683–4693.
6.
Dafalias, Y. F., and Arulanandan, K. (1983). “The formation factor tensor in relation to structural characteristics of anisotropic granular soils.”Coll. Intl. du CNRS, (295), J. P. Boehler, ed., Centre National de la Recherche Scientifique (CNRS), 183–198.
7.
“Draft preceedings of the workshop on noninvasive geophysical site characterization.” (1991). Rep., Los Alamos Nat. Lab., Los Alamos, New Mexico, 31.
8.
Endres, A. L., and Knight, R. J. (1993). “A model for incorporating surface phenomena into the dielectric response of a hetrogeneous medium.”J. Colloid and Interface Sci., Vol. 157, 418–425.
9.
Fricke, H. (1924). “A mathematical treatment of the electric conductivity and capacitance of disperse systems.”Phys. Rev., Vol. 24, 575.
10.
Fricke, H.(1952). “The dielectric properties of two-body systems.”Experientia, 3(10), 376–377.
11.
Kenyon, W. E.(1984). “Texture effects on megahertz dielectric properties of calcite rock samples.”J. Appl. Phys., 55(8), 3153–3159.
12.
Maxwell, J. C. (1881). A treatise on electricity and magnetism, 2nd Ed., Claredon Press, Oxford, England, 398.
13.
Mitchell, J. K., and Arulanandan, K.(1968). “Electrical dispersion in relation to soil structure.”J. Soil Mech. and Found. Div., ASCE, 94(2), 447–470.
14.
NSF/CERF, USUCGER. (1991). Proc., Joint Meeting and Workshop, United States Universities Council on Geotech. Engrg. Res., T. M. Petry, and R. D. Woods, eds., Washington, D.C.
15.
NSF. (1993). Proc., Workshop on Geophysical Techniques for Site and Mat. Characterization, G. J. Rix and J. C. Santamarina, eds., Washington, D.C.
16.
O'Konski, C. T. (1959). “Effect of interfacial conductivity on dielectric properties.”J. Chem. Phys., Vol. 23, 1559.
17.
Raythatha, R., and Sen, P. N.(1986). “Dielectric properties of clay suspensions in MHz to GHz range.”J. Colloid and Interface Sci., 109(2), 301–309.
18.
Sachs, S. B., and Spiegler, K. S. (1964). “Radiofrequency measurements of porous conductive plugs, ion exchange resin-solution systems.”J. Physical Chem., Vol. 68, 1214.
19.
Schwarz, G. (1962). “A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution.”J. Physical Chem., Vol. 66, 2636–2642.
20.
Sen, P. N., Scala, C., and Cohen, M. H.(1981). “A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads.”Geophysics, 46(5), 781–795.
21.
Sen, P. N.(1981a). “Dielectric anomaly in homogeneous materials with application to sedimentary rocks.”Appl. Phys. Lett., 39(8), 667–668.
22.
Sen, P. N.(1981b). “Relation of certain geometrical features to the dielectric anomaly of rocks.”Geophysics, 46(12), 1714–1720.
23.
Thevanayagam, S. (1987). “Unified theoretical approach for electrical characterization of solid & pore fluid suspensions—relationships for soils.”Internal Rep., Dept. of Civ. Engrg., Purdue Univ., West Lafayette, Ind.
24.
Thevanayagam, S. (1991). “Level ground soil-liquefaction analysis using insitu properties: I.”J. Geotech. Engrg., ASCE 117(2), 364–367.
25.
Thevanayagam, S. (1992). “Frequency domain analysis of electrical response of two-phase soil: theory and applications.”Internal Res. Rep., Dept. of Civ. Engrg., Polytech. Univ., Brooklyn, N.Y.
26.
Thevanayagam, S.(1993a). “Electrical response of two-phase soils: theory and applications.”J. Geotech. Engrg., ASCE, 119(8), 1250–1275.
27.
Thevanayagam, S. (1993b). “Soil–pore fluid characterization using electromagnetic waves.”Proc., Colloque Int., Environment et Geotechnique, De la Decontamination a la protection du sous-sol, Press of Ecole Nationale, des Ports et Chaussees, Paris, France, 285–292.
28.
Thevanayagam, S. (1993c). “Geotechnical site characterization using electromagnetic waves.”Proc., NSF Workshop on Geophysical Technol. for Site and Mat. Characterization, 101–104.
29.
Thevanayagam, S. (1993d). “Electrical response of multi-phase geomaterials.”Proc., Joint ASCE/ASME/SES Meeting 93, C. T. Herakovich, and J. M. Duva, eds., Univ. of Virginia, 654.
30.
Thevanayagam, S. (1995a). “Environmental soil characterization using electric dispersion.”Proc., ASCE Spec. Conf. The Geoenvironment 2000, ASCE, New York, N.Y., 137–150.
31.
Thevanayagam, S. (1995b). “Soil and pore-fluid characterization by spectral analysis of electric dispersion.” (Accepted for publication), J. Geotech. Engrg., ASCE.
32.
Tyc, S., Schwartz, L. M., Sen, P. N., and Wong, P.(1988). “Geometrical models for the high-frequency dielectric properties of brine saturated sandstones.”J. Appl. Phys., 64(5), 2575–2582.
33.
Velick, S., and Gorin, M. (1940). “The electrical conductance of suspensions of ellipsoids and its relation to study of avian erythrocytes.”J. General Physiology, 753–771.

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Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 121Issue 8August 1995
Pages: 618 - 628

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Published online: Aug 1, 1995
Published in print: Aug 1995

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S. Thevanayagam
Asst. Prof. of Civ. Engrg., Polytechnic Univ., 6 Metrotech Ctr., Brooklyn, NY 11201.

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