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Critical path analysis of the relationship between permeability and electrical conductivity of three-dimensional pore networks
Year:
1998
Source of publication :
Water Resources Research
Authors :
Friedman, Samuel
;
.
Volume :
34
Co-Authors:
Friedman, S.P., Inst. Soil, Water and Environ. Sci., Agricultural Research Organization, Bet Dagan, Israel, Inst. Soil, Water and Environ. Sci., Agricultural Research Organization, Bet Dagan 50250, Israel
Seaton, N.A., Department of Chemical Engineering, University of Edinburgh, Edinburgh, United Kingdom, Department of Chemical Engineering, University of Edinburgh, Edinburgh, EH9, 3JL, United Kingdom
Facilitators :
From page:
1703
To page:
1710
(
Total pages:
8
)
Abstract:
The critical path analysis (CPA) of Ambegaokar et al. [1971] suggests that transport in random systems with a broad enough distribution of conductances is dominated by a controlling conductance of a critical magnitude. The present short, yet systematic, study provides a test of the applicability of the CPA to determine the relationship between two different transport properties of three-dimensional pore networks. Two characteristic transport properties are examined: viscous (hydraulic) permeability and electrical conductivity, and the three-dimensional pore networks are represented by diluted simple-cubic lattices of different average coordination numbers and broadness of a positively skewed pore size distribution. The prediction of the critical path analysis is good for small coordination numbers as the flow is largely through resistances in series and it diverges from the correct permeability-electrical conductivity relationship as the coordination number increases, especially for moderate broadness of the pore size distribution. The critical path analysis is also applicable to the relationships between other transport properties, for example, molecular and Knudsen diffusivities, and also to various pore shapes, other then cylindrical and slit-shaped, referred to in this study.
Note:
Related Files :
electric conductivity
Positively skewed
size distribution
Three-dimensional pores
Transport properties
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More details
DOI :
Article number:
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
29213
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 00:45
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Scientific Publication
Critical path analysis of the relationship between permeability and electrical conductivity of three-dimensional pore networks
34
Friedman, S.P., Inst. Soil, Water and Environ. Sci., Agricultural Research Organization, Bet Dagan, Israel, Inst. Soil, Water and Environ. Sci., Agricultural Research Organization, Bet Dagan 50250, Israel
Seaton, N.A., Department of Chemical Engineering, University of Edinburgh, Edinburgh, United Kingdom, Department of Chemical Engineering, University of Edinburgh, Edinburgh, EH9, 3JL, United Kingdom
Critical path analysis of the relationship between permeability and electrical conductivity of three-dimensional pore networks
The critical path analysis (CPA) of Ambegaokar et al. [1971] suggests that transport in random systems with a broad enough distribution of conductances is dominated by a controlling conductance of a critical magnitude. The present short, yet systematic, study provides a test of the applicability of the CPA to determine the relationship between two different transport properties of three-dimensional pore networks. Two characteristic transport properties are examined: viscous (hydraulic) permeability and electrical conductivity, and the three-dimensional pore networks are represented by diluted simple-cubic lattices of different average coordination numbers and broadness of a positively skewed pore size distribution. The prediction of the critical path analysis is good for small coordination numbers as the flow is largely through resistances in series and it diverges from the correct permeability-electrical conductivity relationship as the coordination number increases, especially for moderate broadness of the pore size distribution. The critical path analysis is also applicable to the relationships between other transport properties, for example, molecular and Knudsen diffusivities, and also to various pore shapes, other then cylindrical and slit-shaped, referred to in this study.
Scientific Publication
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