The frequency‐dependent conductivity and dielectric constant of a salt‐water‐saturated porous glass specimen have been measured. The measurements cover the full frequency range of the Maxwell–Wagner dispersion. The experimental results have been compared with the recently introduced local porosity theory and with previous theories. For the purpose of comparing with the local porosity theory experimental measurements of local porosity distributions from digitized pore space images are presented. These experimental porosity distributions are then used for a first experimental test of local porosity theory. The comparison with previous theoretical expressions for the frequency‐dependent effective dielectric function shows that local porosity theory constitutes a significant improvement in the quantitative agreement.  

1.
J. Ph.
Poley
,
J. J.
Nooteboom
, and
P. J.
de Waal
,
Log. Anal.
19
,
8
(
1978
).
2.
W. E.
Kenyon
,
J. Appl. Phys.
55
,
3153
(
1984
).
3.
R. J.
Knight
and
A.
Nur
,
Geophysics
56
,
664
(
1987
).
4.
I.
Holwech
and
B.
No/st
,
Phys. Rev. B
39
,
12
845
(
1989
).
5.
C.
Ruffet
,
Y.
Gueguen
, and
M.
Darrot
,
Geophysics
56
,
758
(
1991
).
6.
R. Landauer, in Electrical Transport and Optical Properties of lnhomogeneous Media, edited by J. C. Garland and D. B. Tanner, AIP conference proceedings No. 40 (AIP, New York, 1978), p. 2.
7.
P. N.
Sen
,
C.
Scala
, and
M. H.
Cohen
,
Geophysics
46
,
718
(
1981
).
8.
R.
Hilfer
,
Phys. Rev. B
44
,
60
(
1991
).
9.
F.
Boger
,
J.
Feder
,
T.
Jo/ssang
, and
R.
Hilfer
,
Physica A
187
,
55
(
1992
).
10.
R.
Hilfer
,
Phys. Rev. B
45
,
7115
(
1992
).
11.
R.
Hilfer
,
Physica A
194
,
406
(
1993
).
12.
K. W.
Wagner
,
Arch. Electrotech. (Berlin)
2
,
371
(
1914
).
13.
R. W.
Sillars
,
J. Inst. Electr. Eng. (London)
80
,
387
(
1936
).
14.
D. J.
Bergman
,
Ann. Phys. (NY)
138
,
78
(
1982
).
15.
R.
Fuchs
,
Phys. Rev. B
11
,
1732
(
1975
).
16.
J. C. Maxwell, A Treatise on Electricity and Magnetism (Dover, New York, 1954).
17.
D. A. G.
Bruggeman
,
Ann. Phys. (Leipzig)
24
,
636
(
1935
).
18.
K. S.
Mendelson
and
M. H.
Cohen
,
Geophysics
47
,
257
(
1982
).
19.
P. N.
Sen
,
Geophysics
49
,
586
(
1984
).
20.
C. D. Ferris, Introduction to Bioelectrodes (Plenum, New York, 1974).
21.
B.
No/st
,
B. D.
Hansen
, and
E.
Haslund
,
Physica Scripta
T44
,
67
(
1992
).
22.
H.
Fricke
,
Philos. Mag.
14
,
310
(
1932
).
23.
B. Virgin and R. Hilfer (unpublished).
24.
F.
James
and
M.
Roos
,
Comput. Phys. Commun.
10
,
343
(
1975
).
25.
Note that Eq. (6.10) in Ref. 8 should read 1–λ = (1–a)6+6a(1–a)5 and thus23⩽γ⩽1.
26.
B. D. Hansen, E. Haslund, R. Hilfer, and B. No/st, in Dynamics of Small Confining Systems, edited by J. M. Drake, J. Klafter, R. Kopelman, and D. D. Awschalon, MRS Symp. Proc. Vol. 290 (Material Research Society, Pittsburgh, PA, 1993), p. 185.
This content is only available via PDF.
You do not currently have access to this content.