Percolativity of Porous Media

Abstract Connectivity and connectedness are nonadditive geometric functionals on the set of pore scale structures. They determine transport mass, volume or momentum in porous media, because without connectivity there cannot be transport. Percolativity media is introduced here as a descriptor connectivity, that can computed from persists to macroscale through suitable upscaling limit. It measure combines local percolation probabilities with probability density ratios eigenvalues tensor percolating directions. enters directly into generalized effective medium approximations. Predictions these approximations found compatible apparently anisotropic Archie correlations observed experiment.