A systematic approach has been developed to estimate the relationship between the permeability and connectivity of two-dimensional fracture networks, in which the network connectivity is evaluated with the concept of geological entropy as informative index of spatial disorder. The geological entropy is quantified by the entropic scale, a metric developed by Bianchi and Pedretti (2018), which is here applied to integrate multiple properties of two-dimensional fracture networks, including aperture, spacing, length, orientation. Through the comparisons among several existing connectivity indicato...