Abstract
Quantitatively describing complex natural systems and their processes is a challenging task; additionally, the random nature of these processes adds more difficulty to this problem. This paper considers fracture networks as a system and the concepts of percolation theory and fractal geometry are combined to define the conductivity characteristics of such structures. Correlations between fracture network properties and network permeability are searched using the fractal dimensions (box-counting, mass, correlation dimensions) of different fracture network features (density, length, orientation, connectivity, distribution, anisotropy). The conditions of a strong relationship with different fractal characteristics and scale-dependency of correlations are addressed. The results will be useful in defining universal constants in scaling equations used to model transport processes in complex fracture network systems.
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