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- W1570604872 abstract "The saturation dependences of the electrokinetic current, the electrical conductivity, and the hydraulic conductivity are investigated by applying concepts from critical path analysis to the pore-size variability and universal scaling from percolation theory to the topological inputs from phase continuity. This division makes it possible to define ranges of saturation for which the pore-size or the topological effects on the given property dominate. We find that in natural media the hydraulic conductivity is predominantly influenced by the pore-size distribution, the electrical conductivity is usually controlled by topology, and there is no input from the pore-size distribution to the electrokinetic current. These calculations are based on a particular model of the medium as well as scaling of flow appropriate from Poiseuille’s law. Qualitatively similar, but quantitatively different conclusions result from different model inputs. It is shown that previously derived non-universal scaling results for the conductivity are obtained from critical path analysis in a limiting case, proving that the treatment is a generalization of known physics." @default.
- W1570604872 created "2016-06-24" @default.
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- W1570604872 date "2009-01-01" @default.
- W1570604872 modified "2023-09-26" @default.
- W1570604872 title "Hydraulic and Electrical Conductivity: Conductivity Exponents and Critical Path Analysis" @default.
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- W1570604872 doi "https://doi.org/10.1007/978-3-540-89790-3_5" @default.
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