2019
DOI: 10.3390/en12061085
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The Percolation Properties of Electrical Conductivity and Permeability for Fractal Porous Media

Abstract: Many cases have indicated that the conductivity and permeability of porous media may decrease to zero at a nonzero percolation porosity instead of zero porosity. However, there is still a lack of a theoretical basis for the percolation mechanisms of the conductivity and permeability. In this paper, the analytical percolation expressions of both conductivity and permeability are derived based on fractal theory by introducing the critical porosity. The percolation models of the conductivity and permeability were… Show more

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Cited by 16 publications
(9 citation statements)
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“…We note that a high nanocellulose loading produced patches with an uneven conductivity, as measured in different areas of the structure, which is explained by the pores generated upon removal of water, as expected. [56] As shown in Table 1, The 5% 1:2 system presented an electrical conductivity of 34 mS cm −1 . This value is relatively lower than those measured for nanocellulose-PPy composites previously prepared from precursors such as hydrogels, sponges, and coatings (electrical conductivity in the range of ≈80-150 mS cm −1 ), suitable for paper-based energy storage devices and composites for nerve regeneration.…”
Section: Electrical Conductivity and Mechanical Propertiesmentioning
confidence: 96%
“…We note that a high nanocellulose loading produced patches with an uneven conductivity, as measured in different areas of the structure, which is explained by the pores generated upon removal of water, as expected. [56] As shown in Table 1, The 5% 1:2 system presented an electrical conductivity of 34 mS cm −1 . This value is relatively lower than those measured for nanocellulose-PPy composites previously prepared from precursors such as hydrogels, sponges, and coatings (electrical conductivity in the range of ≈80-150 mS cm −1 ), suitable for paper-based energy storage devices and composites for nerve regeneration.…”
Section: Electrical Conductivity and Mechanical Propertiesmentioning
confidence: 96%
“…It is worth noting that critical pore diameter controls the conductive properties of a porous medium. Below the critical pore diameter, it is considered there is no electric current and fluid flow through the medium (Meng et al., 2019). The evolution of morphological descriptors can be related to the reactive process.…”
Section: Resultsmentioning
confidence: 99%
“…However, Xiao et al (2018) did not consider irreducible water saturation and did not have much experimental data to validate the model for the relative permeability. Recently, Meng et al (2019) presented the models for both electrical conductivity and permeability based on fractal theory by introducing the critical porosity under saturated conditions. From obtained model, Meng et al (2019) could explain the fact that the permeability of porous media could approach to zero at a nonzero percolation porosity corresponding a certain critical pore diameter.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Meng et al (2019) presented the models for both electrical conductivity and permeability based on fractal theory by introducing the critical porosity under saturated conditions. From obtained model, Meng et al (2019) could explain the fact that the permeability of porous media could approach to zero at a nonzero percolation porosity corresponding a certain critical pore diameter. However, their model was validated by only two experimental data sets for the permeability as a function of porosity.…”
Section: Introductionmentioning
confidence: 99%