“…Theoretical and numerical approaches have expressed phase changes, percolation, and connectivity within fracture systems as a function of the system's geometric parameters, especially fractal dimensions [e.g., Robinson , 1983, 1984; La Pointe , 1998; Balberg et al , 1991; Acuna and Yortsos , 1995; Berkowitz et al , 2000; de Dreuzy et al , 2000, 2001a, 2001b; Bour et al , 2002; Darcel et al , 2003; Nakaya et al , 2003; Goto and Otsuki , 2004]. These results indicate that the two‐dimensional fracture network connectivity threshold is critically dependent on the fractal dimensions of length distribution, spatial distribution, and minimum fracture length ( l min ) normalized by the domain length (L), l min /L; however, few studies have sought to clarify the effect of fracture orientation on two‐ and three‐dimensional fracture connectivity [e.g., Robinson , 1983, 1984].…”