“…The empirical and semi-empirical size-effect models were utilized in the studies by Mogi (1962), Hoek and Brown (1980), Yoshinaka et al (2008) and Darlington and Ranjith (2011). Theories based on fracture mechanics were used in studies by Griffith (1924), Adey and Pusch (1999), Bazant (1993), Carpinteri (Carpinteri, 1994;Carpinteri et al, 1995;Carpinteri & Mainardi, 1997) and Masoumi et al (2016). In the areas of rock mechanics and solid mechanics, the most notable analytical models proposed to predict specimen size-effect on uniaxial compressive strength include the Weibull statistical theory (Weibull, 1951), the Hoek and Brown empirical model (Hoek & Brown, 1980), the multi-fractal scaling model (Carpinteri et al, 1995), the specimen size-effect model using the fracture energy theory (Bazant & ASCE, 1984), the fractal fracture size-effect model (Bazant, 1997) and the unified size-effect model for intact rock (Masoumi et al, 2015).…”