A Kinematic Model for the Prediction of Fragment Trajectories and Muckpile Shape during Bench Blasting

An empirical, kinematic model is developed which calculates the trajectory of individual blocks of rock in a blast, their point of impact in the muckpile and the final shape of the muckpile. The method is based on the determination of initial block velocity and requires input on stemming length, bench height, subdrill, burden, spacing, energy of explosive per unit length of blasthole, energy attenuation rate and resistance to movement. The model, which will form part of a comprehensive blast simulation package, has application in open cut mining in predicting muckpile geometry and the movement of grade blocks during blasting, which in turn impact on shovel productivity and grade control.