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The effective permittivity of dense packings of glass beads, quartz sand and their mixtures immersed in different dielectric backgrounds
Year:
2002
Source of publication :
Journal of Non-Crystalline Solids
Authors :
Friedman, Samuel
;
.
Volume :
305
Co-Authors:
Robinson, D.A., Institute of Soil, Water and Environmental Sciences (ARO), Volcani Center, Bet Dagan, Israel, George E. Brown Jr Salinity Laboratory, USDA-ARS, 450 W. Big Springs Road, Riverside, CA 92507, United States
Friedman, S.P., Institute of Soil, Water and Environmental Sciences (ARO), Volcani Center, Bet Dagan, Israel
Facilitators :
From page:
261
To page:
267
(
Total pages:
7
)
Abstract:
Dielectric methods, which measure the effective dielectric permittivity of granular materials, e.g., rocks, sediments and soils are often applied to estimate water or oil content. To test physically based models requires that the permittivity values of all phases are known. Measurements of the solid permittivity of glass spheres, quartz sand grains and their mixtures are made using an immersion method. The results obtained are tested against several classical models including the Maxwell Garnett, the symmetric effective medium approximation (SEMA) and the non-SEMA. The results demonstrate inadequate predictions between these models and the measured data. However, the Maxwell Garnett model comes close to predicting the effective permittivity of the media. Divergence between this model and the measurements is known to be due to interaction effects between grains that is not accounted for by a model based simply on the mixing of volumetric fractions of the components. With water as the background (contrast of 10 for glass) the Maxwell Garnett model overestimates the effective permittivity ∼5% as the contrast reduces this error decreases. For contrasts <4 the error for the permittivity estimate using the Maxwell Garnett formula was <3%. The modeling is simply used to demonstrate that the permittivity of the inclusions, for practical purposes, can be considered a linear function of the volumetric fraction times its respective permittivity. © 2002 Published by Elsevier Science B.V.
Note:
Related Files :
Dielectric materials
Glass beads
Granular materials
Mathematical models
Permittivity
Quartz
Volume fraction
Show More
Related Content
More details
DOI :
10.1016/S0022-3093(02)01099-2
Article number:
Affiliations:
Database:
Scopus
Publication Type:
Conference paper
;
.
Language:
English
Editors' remarks:
ID:
31238
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 01:00
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Scientific Publication
The effective permittivity of dense packings of glass beads, quartz sand and their mixtures immersed in different dielectric backgrounds
305
Robinson, D.A., Institute of Soil, Water and Environmental Sciences (ARO), Volcani Center, Bet Dagan, Israel, George E. Brown Jr Salinity Laboratory, USDA-ARS, 450 W. Big Springs Road, Riverside, CA 92507, United States
Friedman, S.P., Institute of Soil, Water and Environmental Sciences (ARO), Volcani Center, Bet Dagan, Israel
The effective permittivity of dense packings of glass beads, quartz sand and their mixtures immersed in different dielectric backgrounds
Dielectric methods, which measure the effective dielectric permittivity of granular materials, e.g., rocks, sediments and soils are often applied to estimate water or oil content. To test physically based models requires that the permittivity values of all phases are known. Measurements of the solid permittivity of glass spheres, quartz sand grains and their mixtures are made using an immersion method. The results obtained are tested against several classical models including the Maxwell Garnett, the symmetric effective medium approximation (SEMA) and the non-SEMA. The results demonstrate inadequate predictions between these models and the measured data. However, the Maxwell Garnett model comes close to predicting the effective permittivity of the media. Divergence between this model and the measurements is known to be due to interaction effects between grains that is not accounted for by a model based simply on the mixing of volumetric fractions of the components. With water as the background (contrast of 10 for glass) the Maxwell Garnett model overestimates the effective permittivity ∼5% as the contrast reduces this error decreases. For contrasts <4 the error for the permittivity estimate using the Maxwell Garnett formula was <3%. The modeling is simply used to demonstrate that the permittivity of the inclusions, for practical purposes, can be considered a linear function of the volumetric fraction times its respective permittivity. © 2002 Published by Elsevier Science B.V.
Scientific Publication
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