Applications of percolation theory to porous media with distributed local conductances

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Upscaling for unsaturated flow for non‐Gaussian heterogeneous porous media (2007, methodology): “For certain unsaturated flow problems this has been performed by Lewandowska and Laurent [2001], Lewandowska et al. [2004], or Neuweiler and Cirpka [2005]. The heterogeneous parameter field is here not necessarily characterized by its stochastic properties.”
Fluid flow in porous media with rough pore‐solid interface (2016, methodology): “…as follows: L / r (15) This linear relationship between pore length and radius has been already assumed in self-similar fractal porous media [Katz and Thompson, 1986, 1987; Hunt, 2001; Hunt et al., 2011; Ghanbarian-Alavijeh and Hunt, 2012; Hunt et al., 2013; Ghanbarian-Alavijeh et al., 2012].”
Analytical Predictions and Lattice Boltzmann Simulations of Intrinsic Permeability for Mass Fractal Porous Media (2009, methodology): “Following a different line of attack, Hunt (2001) used continuum percolation theory to fi nd the volume fraction of Analy cal Predic ons and La ce Boltzmann Simula ons of Intrinsic Permeability for Mass Fractal Porous Media Abdullah Cihan,* Michael C. Sukop, John S. Tyner, Edmund Perfect, and Haibo…”