“…A number of fracture features commonly show fractal distributions, such as fracture aperture (Laubach and Ward, 2006), fracture intensity (Ortega et al, 2006), fault displacements and lengths (Aviles et al, 1987;Okubo and Aki, 1987;Walsh et al, 1991;Jackson and Sanderson 1992;Manning 1994;Fossen and Rørnes 1996;Knott et al, 1996;Needham et al, 1996;Nicol et al, 1996;Watterson et al, 1996;Yielding et al, 1996;Pickering et al, 1997), earthquake magnitudes (Turcotte, 1997;Dimri, 2005), particle sizes of comminuted rock and fault gouge (Sammis and Biegel 1989;Korvin, 1992). The thickness distributions of veins have also frequently been described by power-law relationships (Monecke et al, 2001;Sanderson et al, 1994;Clark et al, 1995;McCaffrey and Johnston 1996;Roberts et al, 1998;Monecke et al, 2005). Mandelbrot (1983) first suggested that mineral distribution conforms to fractal distribution.…”