Relevance of Percolation Theory to Power-law Behavior of Dynamic Processes

Allen Hunt (allen.hunt@wright.edu), Physics, Wright State University

Longitudinal dispersion of solutes through advective flow in porous media arises from the heterogeneity of the medium. We show that a combination of ideas frmo critical path analysis and percolation scaling predicts simulations and is compatible with experiment. The combination of ideas leads to an enumeration of all the flow paths in the meduim; an optimal flow path allows calculation of the hydraulic conductivity, providing the long-expected link between the two properties.