Scaling of fracture connectivity in geological formations

Mathematics – Logic

Scientific paper

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Physical Properties Of Rocks: Fracture And Flow, Physical Properties Of Rocks: Permeability And Porosity, Structural Geology: Fractures And Faults

Scientific paper

A new method to quantify fracture network connectivity is developed and applied to analyze two classical examples of fault and joint networks in natural geological formations. The connectivity measure accounts for the scaling properties of fracture networks, which are controlled by the power law length distribution exponent a, the fractal dimension D and the fracture density. The connectivity behavior of fracture patterns depends on the scale of measurement, for aD+1. Analysis of the San Andreas fault system shows that a

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