2006
DOI: 10.2136/vzj2005.0107
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Dependence of the Electrical Conductivity on Saturation in Real Porous Media

Abstract: Archie's Law for the porosity and saturation dependence of electrical conductivity, σ(θ) = aσbϕm(θ/ϕ)n (where σ is electrical conductivity, the subscript b denotes the brine or bulk solution, ϕ is porosity, θ is volume wetness, and a, m, and n are fitting parameters) was recently derived by applying continuum percolation theory to fractal porous media. We have recast Archie's Law in terms of saturation alone to obtain σ(θ) = σ0 (θ − θc)μ, where θc is the critical volume fraction for percolation, and σ0 = aσb/(… Show more

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Cited by 116 publications
(108 citation statements)
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References 69 publications
(166 reference statements)
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“…To evaluate the relationship between physical properties and fault rock distribution, we made cross-plots between the logs and fracture density. We also used cross-plots of neutron porosity and resistivity to determine the pore structure, connectivity of the cracks, percolation thresholds, and hydrologic properties (e.g., Ewing and Hunt 2006;Montaron 2009;Kozlov et al 2012) along the Nobeoka Thrust. The approximate correlation between porosity and resistivity is empirically known as Archie's law (Archie 1942), which is formulated as:…”
Section: Data Acquisition and Methodology For Core-log Integrationmentioning
confidence: 99%
“…To evaluate the relationship between physical properties and fault rock distribution, we made cross-plots between the logs and fracture density. We also used cross-plots of neutron porosity and resistivity to determine the pore structure, connectivity of the cracks, percolation thresholds, and hydrologic properties (e.g., Ewing and Hunt 2006;Montaron 2009;Kozlov et al 2012) along the Nobeoka Thrust. The approximate correlation between porosity and resistivity is empirically known as Archie's law (Archie 1942), which is formulated as:…”
Section: Data Acquisition and Methodology For Core-log Integrationmentioning
confidence: 99%
“…The ERT data are sensitive to the subsurface geoelectrical structure, which is in turn sensitive to subsurface variations in water saturation and pore water salinity ͑Ar-chie, 1942; Mualem and Friedman, 1991;Henry, 1997;Ewing and Hunt, 2006͒. This makes ERT particularly useful for characterizing infiltration into bedrock where conventional methods of soil moisture accounting fail.…”
Section: Introductionmentioning
confidence: 99%
“…Ewing and Hunt (2006) considered that there will be some solution in dead-end pores and some isolated in connected pores of CBMs under low saturation, which is useless for electrical conduction. In order to exclude this non-conductive solution, the concept of effective saturation was proposed, and the modified Archie law can be expressed as…”
Section: Introductionmentioning
confidence: 99%