Dielectric dispersion of porous media as a fractal phenomenon

Journal of Applied Physics

Volumn 82, Issue 5, 1997, Pages 2538-2547

  Thevanayagam, S ^a  

^a the State University of New York   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; FRACTALS; HYDRAULIC CONDUCTIVITY; KAOLIN; MATHEMATICAL MODELS; POROUS MATERIALS; PROBABILITY; ROCKS; SURFACE PROPERTIES;

DIELECTRIC DISPERSION; MAXWELL-WAGNER MECHANISM; MONTMORILLONITE; SHALY SAND ROCK;

DIELECTRIC PROPERTIES;

EID: 0031235533     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.366065     Document Type: Article

References (39)

1. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1891); K. W. Wagner, Archiv. Electrotechnik 2, 371 (1914); H. Fricke, J. Phys. Chem. 57, 934 (1953): L. K. H. Van Beek, Prog. Dielectr. 3, 69 (1961); C. T. O'Konski, J. Phys. Chem. 64, 605 (1960).
2. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1891); K. W. Wagner, Archiv. Electrotechnik 2, 371 (1914); H. Fricke, J. Phys. Chem. 57, 934 (1953): L. K. H. Van Beek, Prog. Dielectr. 3, 69 (1961); C. T. O'Konski, J. Phys. Chem. 64, 605 (1960).
3. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1891); K. W. Wagner, Archiv. Electrotechnik 2, 371 (1914); H. Fricke, J. Phys. Chem. 57, 934 (1953): L. K. H. Van Beek, Prog. Dielectr. 3, 69 (1961); C. T. O'Konski, J. Phys. Chem. 64, 605 (1960).
4. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1891); K. W. Wagner, Archiv. Electrotechnik 2, 371 (1914); H. Fricke, J. Phys. Chem. 57, 934 (1953): L. K. H. Van Beek, Prog. Dielectr. 3, 69 (1961); C. T. O'Konski, J. Phys. Chem. 64, 605 (1960).
5. J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1891); K. W. Wagner, Archiv. Electrotechnik 2, 371 (1914); H. Fricke, J. Phys. Chem. 57, 934 (1953): L. K. H. Van Beek, Prog. Dielectr. 3, 69 (1961); C. T. O'Konski, J. Phys. Chem. 64, 605 (1960).
6. S. B. Sachs and K. S. Spiegler, J. Phys. Chem. 68, 1214 (1964).
7. K. Arulanandan and S. S. Smith, J. Geotech. Eng. ASCE 99, 1113 (1973).
8. P. N. Sen, Appl. Phys. Lett. 39, 667 (1981); P. N. Sen, Geophysics 46, 1714 (1981).
9. P. N. Sen, Appl. Phys. Lett. 39, 667 (1981); P. N. Sen, Geophysics 46, 1714 (1981).
10. P. N. Sen, C. Scala, and M. H. Cohen, Geophysics 46, 781 (1981).
11. W. C. Chew and P. N. Sen, J. Phys. Chem. 77, 4683 (1982).
12. W. E. Kenyon, J. Appl. Phys. 55, 3153 (1984).
13. R. J. Knight and A. Nur. Geophysics 52, 644 (1987).
14. P.-Z. Wong, AIP Conf. Proc. 154, 304 (1986); L. J. Gray, S. H. Liu, and T. Kaplan, NATO ASI Ser. B 133, 79 (1985).
15. P.-Z. Wong, AIP Conf. Proc. 154, 304 (1986); L. J. Gray, S. H. Liu, and T. Kaplan, NATO ASI Ser. B 133, 79 (1985).
16. S. Tyc, L. M. Schwartz, P. N. Sen, and P.-Z. Wong, J. Appl. Phys. 64, 2575 (1988).
17. S. Thevanayagam, J. Geotech. Eng. ASCE 119, 1250 (1993); S. Thevanayagam, J. Geotech. Eng. ASCE 121, 618 (1995).
18. S. Thevanayagam, J. Geotech. Eng. ASCE 119, 1250 (1993); S. Thevanayagam, J. Geotech. Eng. ASCE 121, 618 (1995).
19. P. Debye, Polar Molecules: Chemical Catalog Co. (1929).
20. K. S. Cole and R. H. Cole, J. Chem. Phys. 9, 341 (1941).
21. D. W. Davidson and R. H. Cole, J. Chem. Phys. 29, 1484 (1951); G. Williams and D. C. Watts, Trans. Faraday Soc. 66, 80 (1970).
22. D. W. Davidson and R. H. Cole, J. Chem. Phys. 29, 1484 (1951); G. Williams and D. C. Watts, Trans. Faraday Soc. 66, 80 (1970).
23. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982); B. J. West and A. L. Goldberger, Am. Sci. 75, 354 (1987); F. Hausdorff, Mathematische Annalen 79, 157 (1919).
24. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982); B. J. West and A. L. Goldberger, Am. Sci. 75, 354 (1987); F. Hausdorff, Mathematische Annalen 79, 157 (1919).
25. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982); B. J. West and A. L. Goldberger, Am. Sci. 75, 354 (1987); F. Hausdorff, Mathematische Annalen 79, 157 (1919).
26. C. Ruffet, Y. Gueguen, and M. Darot, Geophysics 56, 758 (1991).
27. R. Alvarez, Geophysics 38, 920 (1973); T. J. Katsube and L. S. Collett, Geophysics 38, 92 (1973).
28. R. Alvarez, Geophysics 38, 920 (1973); T. J. Katsube and L. S. Collett, Geophysics 38, 92 (1973).
29. E. McCafferty and A. C. Zettlemoyer, Faraday Soc. Dis. 52, 239 (1971).
30. A. J. Katz and A. H. Thompson, Phys. Rev. Lett. 54, 1325 (1985); C. E. Krohn, J. Geophys. Res. 93, 3297 (1987).
31. A. J. Katz and A. H. Thompson, Phys. Rev. Lett. 54, 1325 (1985); C. E. Krohn, J. Geophys. Res. 93, 3297 (1987).
32. S. Thevanayagam, J. Geotech. Eng. ASCE (in press).
33. A. A. Garrouch and M. M. Sharma, Geophysics 59, 909 (1994).
34. G. Gouy, Ann. Phys. (Paris) 9, 457 (1910); D. L. Chapman, Philos. Mag. B 25, 475 (1913); J. K. Mitchell, Fundamentals of Soil Behavior, 2nd ed. (Wiley Interscience, New York, 1993).
35. G. Gouy, Ann. Phys. (Paris) 9, 457 (1910); D. L. Chapman, Philos. Mag. B 25, 475 (1913); J. K. Mitchell, Fundamentals of Soil Behavior, 2nd ed. (Wiley Interscience, New York, 1993).
36. G. Gouy, Ann. Phys. (Paris) 9, 457 (1910); D. L. Chapman, Philos. Mag. B 25, 475 (1913); J. K. Mitchell, Fundamentals of Soil Behavior, 2nd ed. (Wiley Interscience, New York, 1993).
37. Thiele Kaolin Co., GA.
38. J. K. Mitchell, Fundamentals of Soil Behavior (2nd ed. Wiley Interscience, New York, 1993).
39. A. Sridharan, A. G. Atlschaeffl, and S. Diamond, J. Soil Mech. Found. Eng. ASCE 97, 771 (1971).