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• W2015515873 abstract "A recently introduced geometric characterization of porous media based on local-porosity distributions and local-percolation probabilities is used to calculate dc permeabilities for porous media. The disorder in porous media is found to be intimately related to the percolation concept. The geometric characterization is shown to open a possibility for understanding experimentally observed scaling relations between permeability, formation factor, specific internal surface, and porosity. In particular, Kozeny's equation kensuremath{propto}ensuremath{varphi}ifmmodebarelsetextasciimacronfi{} $^{mathit{b}}$ between effective permeability and bulk porosity and the relation kensuremath{propto}${mathit{F}}^{mathrm{ensuremath{-}}mathit{h}}$ between permeability and formation factor are analyzed. A simple and general consolidation model is introduced. It is based on the reduction of local porosities and emphasizes the general applicability and flexibility of the local-porosity concept. The theoretical predictions are compared with the experimentally observed range for b and h, and are found to be in excellent agreement." @default.
• W2015515873 created "2016-06-24" @default.
• W2015515873 creator A5019920274 @default.
• W2015515873 date "1992-04-01" @default.
• W2015515873 modified "2023-10-13" @default.
• W2015515873 title "Local-porosity theory for flow in porous media" @default.
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• W2015515873 doi "https://doi.org/10.1103/physrevb.45.7115" @default.
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