“…1 Schematic view of the geometric parameters involved in a fracture network, including: (i) fracture length, (ii) aperture, (iii) surface roughness, (iv) dead-end, (v) number of intersections, (vi) hydraulic gradient, (vii) boundary stress, (viii) anisotropy, and (ix) scale 1989). Actually, in natural fractured rock masses, the fracture length has very broad distributions and is observed to follow the power-law, exponential, and lognormal types of functions (Chelidze and Gueguen 1990;Chang and Yortsos 1990;Sahimi 1993;Watanabe and Takahashi 1995a, b;Andrade et al 2009;Torabi and Berg 2011;Torabi 2012, 2013). Among them, the power law distribution has been most widely utilized (Segall and Pollard 1983;Gudmundsson 1987;Childs et al 1990;Sornette et al 1993;Davy 1993;Bour and Davy 1997;Bogdanov et al 2007;Reeves et al 2013), with a typical form of…”