Dielectric spectroscopy of sedimentary rocks

Journal of Geophysical Research: Solid Earth

Volumn 106, Issue B7, 2001, Pages 13329-13346

  Lesmes, David P ^a   Morgan, Frank Dale ^b  

^a BOSTON COLLEGE   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC PROPERTY; ELECTRICAL METHOD; SEDIMENTARY ROCK; SPECTROSCOPY;

EID: 0034909743     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2000jb900402     Document Type: Article

References (89)

1. Aharonov, E., D. H. Rothman, and A. H. Thompson, Transport properties and diagenesis in sedimentary rocks, Geology , 25, 547-550, 1997.
2. Ballario, C., A. Bonincontro, and C. Cametti, Dielectric dispersions of colloidal particles in aqueous suspensions with low ionic conductivity, J. Colloid Interface Sci., 54, 415-423, 1976.
3. Ballario, C., A. Bonincontro, and C. Cametti, Radiowave dielectric dispersions of colloidal particles, J. Colloid Interface Sci., 72, 304, 1979.
4. Barchini, R., and D. A. Saville, Dielectric response measurements of concentrated colloidal dispersions, J. Colloid Interface Sci., 173, 86-91, 1995.
5. Bergman, D. J., The dielectric constant of a composite material - A problem in classical physics, Phys. Rep., 43, 377-407, 1978.
6. Bergman, D. J., Rigorous bounds for the complex dielectric constant of a two component composite, Ann. Phys., 138, 78-114, 1982.
7. Börner, F., M. Gruhne, and J. Schön, Contamination indications derived from electrical properties in the low frequency range, Geophys. Prospect., 41, 83-98, 1993.
8. Börner, F. D., J. R. Schopper, and A. Weller, Evaluation of transport and storage properties in the soil and groundwater zone from induced polarization measurements, Geophys. Prospect., 44, 583-601, 1996.
9. Böttcher, C. J. F., and P. Bordewijk, Theory of Electric Polarization, vol II, Elsevier Sci., New York, 1978.
10. Bruggeman, D. A. G., Berechun verschiederner konstanten von hetogenen substanszen, Ann. Phys. Leipzig, 24, 639-679, 1935.
11. Chew, W. C., and P. N. Sen, Dielectric enhancement due to electrochemical double layers: Thin double layer approximation, J. Chem. Phys., 77, 4683-4693, 1982.
12. Cole, K. S., and R. H. Cole, Dispersion and adsorption in dielectrics, I, Alternating current characteristics, J. Chem. Phys., 9, 341-351, 1941.
13. Correns, C. W., Introduction to Mineralogy, Springer-Verlag, New York, 1969.
14. Davidson, D. W., and R. H. Cole, Dielectric relaxation in glycerol, propylene glycol and n-propanol, J. Chem. Phys., 19, 1484-1490, 1951.
15. Davis, H. T., On the fractal nature of the porosity of natural sandstone, Europhys. Lett., 8, 629-632, 1989.
16. Delgado, A. V., F. J., Arroyo, F. Gonzalex-Caballero, V. N. Shilov, and Y. B. Borkovskaya, The effect of the concentration of dispersed particles on the mechanisms of low-frequency dispersion (LFDD) in colloidal suspensions, Colloids Surf. A, 140, 139-149, 1998.
17. Dukhin, S. S., Dielectric properties of disperse systems, Surf. Colloid Sci., 3, 83-166, 1971.
18. Endres, A., and R. J. Knight, A model for incorporating surface phenomena into the dielectric response of heterogeneous medium, J. Colloid Int. Sci., 157, 418-425, 1993.
19. Feder, J., Fractals, Plenum, New York, 1988.
20. Fixman, M., Charged macromolecules in external fields, I, The sphere, J. Chem. Phys., 72, 5177-5186, 1980.
21. Fricke, H., and H. J. Curtis, The dielectric properties of water-dielectric interphases, J. Phys. Chem., 41, 729-745, 1937.
22. Friel, R., and D. Or, Frequency analysis of time-domain reflectometry (TDR) with application to dielectric spectroscopy of soil constituents, Geophysics, 64, 707-718, 1999.
23. Ghosh, K., and R. Fuchs, Spectral theory for two-component porous media, Phys. Rev. B, 38, 5222-5236, 1988.
24. Grosse, C., M. Tirado, W. Pieper, and R. Reinhard, Broad frequency range study of the dielectric properties of suspensions of colloidal polystyrene particles in aqueous electrolyte solutions, J. Colloid Interface Sci., 205, 26-41, 1998.
25. Hanai, T., Theory of the dielectric dispersion due to the interfacial polarization and its applications to emulsions, Kolloid Z., 171, 23-31, 1960.
26. Haslund, E., Dielectric dispersion of salt-water-saturated porous glass containing thin glass plates, Geophysics, 61, 722-733, 1996.
27. Haslund, E., B. D Hansen, R. Hilfer, and B. Nost, Measurement of local porosities and dielectric dispersion for a water-saturated porous medium, J. Appl. Phys., 76, 5473-5480, 1994.
28. Havriliak, S., and S. Negami, A complex plane analysis of ́ - dispersion in some polymer systems, J. Polymer Sci. C, 14, 99-117, 1966.
29. Heimovaara, T. J., Frequency domain analysis of time domain reflectometry waveforms, 1, Measurements of complex dielectric permittivity of soils, Water Resour. Res., 30, 189-199, 1994.
30. Hilfer, R., Geometric and dielectric characterization of porous media, Phys. Rev. B, 44, 60-75, 1991.
31. Hilfer, R., B. Nøst, E. Haslund, T. Kautzsch, B. Virgin, and B. D. Hansen, Local porosity theory for the frequency-dependent dielectric function of porous rocks and polymer blends, Physica A, 207, 19-27, 1994.
32. Hollender, F., and S. Tillard, Modeling ground-penetrating radar wave propagation and reflection with the Jonscher parameterization, Geophysics, 63, 1933-1942, 1998.
33. Howell, B. F., and P. H. Licastro, Dielectric behavior of rocks and mineral, Am. Mineral., 46, 269-288, 1961.
34. Jackson, P. D., D. Taylor-Smith, and P. N. Stanford, Resistivity-porosity-particle shape relationships for marine sands, Geophysics, 43, 1250-1268, 1978.
35. James, R. O., and G. A. Parks, Characterization of aqueous colloids by their electrical double layer and intrinsic surface chemical properties, Surf. Colloid Sci., 12, 119-216, 1982.
36. Jonscher, A. K., The "universal" dielectric response, Nature, 267, 673-679, 1977.
37. Jonscher, A. K., Dielectric Relaxation in Solids, Chelsea Dielectrics, London, 1983.
38. Kenyon, W. E., Texture effects on the megahertz dielectric properties of rock samples, J. Appl. Phys., 55, 3153-3159, 1984.
39. Kijlstra, J., H. P. van Leeuwen, and J. Lyklema, Effects of surface conduction on the electrokinetic properties of colloids, J. Chem. Soc. Faraday Trans., 88, 3441-3449, 1992.
40. Klein, J. D., and W. R. Sill, Electrical properties of artificial clay-bearing sandstone, Geophysics, 47, 1593-1605, 1982.
41. Knight, R. J., and A. Endres, A new concept in modeling the dielectric response of sandstones: Defining a wetted rock and bulk water system, Geophysics, 55, 586-594, 1990.
42. Knight, R. J., and A., Nur, The dielectric constant of sandstones, 60 kHz to 4 MHz, Geophysics, 52, 644-654, 1987.
43. Krohn, C., Fractal measurements of sandstones, shales, and carbonates, J. Geophy. Res., 93, 3297-3305, 1988.
44. Lesmes, D. P., and K. M. Frye, The influence of pore fluid chemistry on the complex conductivity and induced polarization responses of Berea sandstone, J. Geophys. Res., 106, 4079-4090, 2001.
45. Lesmes, D. P., J. Sturrock, and K. M. Frye, A physiochemical interpretation of the Cole-Cole dielectric model, paper presented at Proceedings of the Symposium on the Application of Geophysics to Environmental and Engineering Problems (SAGEEP), Environ, and Eng. Geophys. Soc., Arlington, Va., 2000.
46. Lima, O. A. L. de, and M. M. Sharma, A generalized Maxwell-Wagner theory for membrane polarization in shaly sands, Geophysics, 57, 431-440, 1992.
47. Lockhart, N. C., Electrical properties and the surface characteristics and structure of clays, II, Kaolanite a non-swelling clay, J. Colloid Interface Sci., 74, 520-529, 1980.
48. Lockner, D. A., and J.D. Byerlee, Complex resistivity of confined rock, J. Geophys. Res., 90, 7837-7847, 1985.
49. Lyklema, J., S.S. Dukhin, and V.N. Shilov, The relaxation of the double layer around colloidal particles and the low-frequency dielectric dispersion, part I, Theoretical considerations, J. Electroanal. Chem., 143, 1-21, 1983.
50. Lysne, P. C., A model for the high frequency electrical response of wet rocks, Geophysics, 48, 775-786, 1983.
51. Macdonald, J. R., Note on the parameterization of the constant-phase admittance element, Solid State Ionics, 13, 147-149, 1984.
52. Macdonald, J. R., Impedance Spectroscopy. Emphasizing Solid Materials and Systems, John Wiley, New York, 1987.
53. Macdonald, J. R., Exact approximate nonlinear least squares inversion of dielectric relaxation spectra, J. Chem. Phys., 102, 6241-6250, 1995.
54. Madden, T. R., Random networks and mixing laws, Geophysics, 41, 1104-1125, 1976.
55. Madden, T. R., and E.R. Williams, Role of size distributions on physical properties: Real size renormalization group, J. Geophys. Res., 98, 15,951-15,965, 1993.
56. Marsh, K. N. (Ed.), Recommended Reference Materials for the Realization of Physiochemical Properties, p. 379, Blackwell Sci., Malden, Mass., 1987.
57. Maxwell, J. C., A Treatise on Electricity and Magnetism, 3rd ed., Clarendon, Oxford, England, 1892. (Reprinted by Dover, Mineola, N. Y., 1954.)
58. Mendelson, K. S., and M. H. Cohen, The effect of grain anisotropy on the electrical properties of sedimentary rocks, Geophysics, 47, 257-263, 1982.
59. Morgan, F. D., and D. P. Lesmes, Inversion for dielectric relaxation spectra, J. Chem. Phys., 100, 671-681, 1994.
60. O'Konski, C. T., Electric properties of macromolecules V. theory of ionic polarization in polyelectrolytes, J. Phys. Chem., 64, 605-619, 1960.
61. Olhoeft, G. R., Electrical properties of rocks, in Physical Properties of Rocks and Minerals, edited by Y. S. Touloukian, W. R. Judd, and R. F. Roy, pp. 257-258, McGraw-Hill, New York, 1980.
62. Pelton, W. H., L. Rijo, and C. M. Swift Jr., Inversion of two-dimensional resistivity and induced-polarization data, Geophysics, 43, 788-803, 1978.
63. Poley, J. P., J.J. Nooteboom, and P.J. de Wall, Use of the VHF dielectric measurements for borehole formation analysis, Log Anal., 19, 8-30, 1978.
64. Powers, M. H., and G. R. Olhoeft, Modeling dispersive ground penetrating radar data, Paper Presented at the 5th International Conference on Ground Penetrating Radar, Waterloo, Ontario, Canada, 1994.
65. Rickman, D., F. D., Morgan, R. M., O'Leary, and D. Lemes, 3-D pore and grain-size distributions from 2-D images: Fact or fiction?, Paper presented at 60th Annual International. Meeting, Soc. for Explor. Geophys., San Francisco, Calif., 1990.
66. Rosen, L. A., and D. A. Saville, Dielectric spectroscopy of colloidal dispersions: comparisons between experiment and theory, Langmuir, 7, 36-42, 1991.
67. Russ, J. C., Practical Stereology, Plenum, New York, 1986.
68. Samstag, F. J., An effective-medium model for complex conductivity of shaly sands in the salinity, frequency, and saturation domains, Ph.D. thesis, Tex. A&M Univ., College Station, 1992.
69. Scheider, W., Theory of the frequency dispersion of electrode polarization: Topology of networks with fractional power frequency dependence. J. Phys. Chem., 79, 127-136, 1975.
70. Schurr, J. M., On the theory of the dielectric dispersion of spherical colloidal particles in electrolyte solution, J. Phys. Chem., 68, 2407-2413, 1964.
71. Schwan, H. P., G. Schwarz, J. Maczuk, and H. Pauly, On the low-frequency dielectric dispersion of colloidal particles in electrolyte solution, J. Phys. Chem., 66, 2626-2635, 1962.
72. Schwarz, G., A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution, J. Phys. Chem., 66, 2636-2642, 1962.
73. Sen, P. N., Relation of certain geometrical features to the dielectric anomaly of rocks, Geophysics, 46, 1714-1720, 1981.
74. Sen, P. N., C. Scala, and M. H. Cohen, A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics, 46, 781-795, 1981.
75. Sen, P. N., W. C. Chew, and D. Wilkinson, Dielectric enhancement due to geometrical and electrochemical effects, in Physics and Chemistry of Porous Media, edited by D.L Johnson and P.N. Sen, AIP Conf. Proc., 107, 52-65, 1984.
76. Shahidi, M., J. B. Hasted, and A. K. Jonscher, Electrical properties of dry and humid sand, Nature, 258, 595-597, 1975.
77. Shuey, R. T., and M. Johnson, On the phenomenology of relaxation in rocks, Geophysics, 38, 37-48, 1973.
78. Sillars, R. W., The properties of a dielectric containing semi-conducting particles of various shapes, J. Inst. Electr. Eng., 80, 378-394, 1937.
79. Springer, M. M., A. Korteweg, and J. Lyklema, The relaxation of the double layer around colloid particles and the low-frequency dielectric dispersion, J. Electroanal. Chem., 153, 55-66, 1983.
80. Stroud, D., G.W. Milton, and B. R. De, Analytical model for the dielectric response of brine-saturated rocks, Phys. Rev. B, 34, 5145-5153, 1986.
81. Sturrock, J. T., D. P. Lesmes, and F. D. Morgan, Permeability estimation using spectral induced polarization measurements, paper presented at the Symposium on the Application of Geophysics to Environmental and Engineering Problems (SAGEEP), Environ. Eng. Geophys. Soc., Oakland, Calif., 1999.
82. Tadros, T. F., and J. Lyklema, The electrical double layer on silica in the presence of bivalent counter-ions, J. Electroanal. Chem., 22, 1-7 1968.
83. Taherian, M. R., W. E. Kenyon, and K. A. Safinya, Measurement of dielectric response of water-saturated rocks, Geophysics, 55, 1530-1541, 1990.
84. Thompson, A., Fractals in rock physics, Annu. Rev. Earth Planet. Sci., 19, 237-262, 1991.
85. von Schweidler, E. R., Studiem uber die anomalien im verhalten der dielektrika, Ann. Phys., 24, 711-770, 1907.
86. Wagner, K. W., Erklarung der dilectricshen-narchwirkugen auf grund maxwellscher vorstellungen, Arch. Electrotech., 2, 371-387, 1914.
87. Wait, J. R., Relaxation phenomena and induced polarization, Geoexploration, 22, 107-127, 1984.
88. Yuval, and D. W. Oldenburg, Computation of Cole-Cole parameters from IP data, Geophysics, 62, 436-448, 1997.
89. Zukoski, C. F., and D. A. Saville, The interpretation of electrokinetic measurements using a dynamic model of the Stern layer, II, Comparisons between theory and experiment, J. Colloid Interface Sci., 114, 45-53, 1986.