On the fractal pattern phenomenology of geological fracture signatures from a scaling law

Abstract

In the present work we analyzed the fracture pattern in rocks for the Serra do Fundão region (GO, Brazil), which is the signature for the dynamics of rock evolution for that region. Our discussion showed that fractal analysis is beyond a mere classification scheme but closely related to the dynamics by virtue of a clear self-similarity signature. We came to this conclusion by the structural geology analysis, where we distinguished different fracture sets that after parametrization were used to simulate a fracture lineaments map. These by inspection reproduced some characteristics of the original map, i.e. the fracture directional arrangement. The analytical fracture simulation took into account fracture direction and frequency, and the fractal dimension.