Permeability‐porosity relationship: A reexamination of the Kozeny‐Carman equation based on a fractal pore‐space geometry assumption

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Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry (2008, methodology): “In addition, the effective porosity [13] and percolation [14] were taken into account for the modification of the KC equation; the fractal geometry [15–18] and the Archie law [17,18] were also used in derivation of permeability.”
An electrical conductivity model for fractal porous media (2015, methodology): “After fractal geometry was introduced by Mandelbrot [1983], it became a powerful tool for the analysis of physicogeometrical properties and processes associated with porous media, including surface roughness [Brown, 1987], permeability [Costa, 2006; Xu and Yu, 2008; Xiao et al., 2014], tortuosity [G”
Permeability of porous media: Role of the critical pore size (2017, background): “…has frequently been modeled in the following form [Walsh and Brace, 1984; GuéguenandDienes, 1989;GuéguenandPalciauskas, 1994;MartysandGarboczi, 1992;Costa, 2006;Sarout, 2012]: k ¼ cϕr2; (1) where ϕ is the porosity, r is the pore radius, and c is the geometric factor that accounts for the shape,…”
Modelling Biogrout: A New Ground Improvement Method Based on Microbial-Induced Carbonate Precipitation (2011, background): “An example concerns the study due to Costa (2006), where a fractal pore-space geometry has been assumed.”