Over the past decades, drill-and-blast has become the most commonly used technology in rock excavation. It is well known that in rock mass fragmentation with explosives, the annular rocks around the blast-hole are converted into fines. The formation of these fines consumes a significant part of the energy of the detonation, which in general is ignored in the determination of the efficiency of detonation (Glatolenkov and Ivanov, 1992;Furtney et al., 2012). Many studies show that only 20-30% of the total explosive energy is effectively used in fragmenting the rock, and up to 50% of the energy generated by conventional charges is wasted in overcrushing of the crushed zone and the inner part of the fractured zone (Ouchterlony et al., 2004;Sanchidrian et al., 2007). How to control the crushed zone to enhance the effective utilization of explosive energy, reducing the unit explosive consumption and the engineering cost, is therefore of great significance.One of the most important problems in the breakage of rock masses is to establish a calculation model of the crushed zone around a blast-hole. The actual process of fragmentation around the blast-hole in drilling and blasting is so complex that an exact mathematical description is almost impossible. Over the years, many scholars and engineers have researched this problem (Wang, 2005;Jimeno et al.,1995;Ouchterlony and Moser, 2012;Qian, 2009), and several models have been proposed for the estimation of the extent of crushed zones around a blast-hole. Table I lists the existing models for prediction of the size of crushed zone. There are notable discrepancies among these calculation models. In the model proposed by Il'yushin (1971), the material in the crushed zone is assumed to be incompressible granular medium with cohesion. However, Il'yushin's formula is applied to limestone, talc-chlorite, and concrete, and Vovk et al. (1973) noted that Il'yushin appeared to overestimate the size of crushed zone. On the other hand, in Il'yushin's formula derivation process, the gas adiabatic index in the process of blasting cavity expansion was taken as a constant, so the formula is not applicable to conditions of large decoupling ratios. Szuladzinski (1993) modelled the crushing and cracking around the blast-hole using transient dynamic analysis. In that model, the rocks around the blast-hole are regarded as elastic materials and the effective energy of the explosive is assumed to be roughly two-thirds that of the complete reaction, which gives no consideration to the effect of decoupling. Djordjevic (1999) developed the two-component model (TCM), with overlapping fine-coarse component distributions. Based on the Griffith failure criterion, this model is applicable only to brittle rocks.A modified model to calculate the size of the crushed zone around a blast-hole by W. Lu*, Z. Leng*, M. Chen*, P. Yan*, and Y. Hu* After detonation of the explosive, the final blast-induced damage area around the blast-hole falls into three categories, namely crushed zone, fractured zone, and elastic...