An Integrated Approach for Estimation of Fragmentation

Researchers in the field of blasting have been trying to develop ways of predicting fragmentation in the last few decades. The Kuznetsov equation estimates the average fragment size, XJ~, based on explosive energy and powder factors. Cunningham calculates the uniformity of a fragment size distribution using drilling accuracy, blast geometry and a rock factor A associated with a “blastability index”, which can be estimated from the jointing, density and hardness of the blasted rock mass. Knowing the mean size and the uniformity index, a Rosin-Rammler distribution equation can then be derived for calculating the fragment size distribution in a blasted muckpile. Analysis of existing data has revealed serious discrepancies between actual and calculated uniformity indices. The current integrated approach combines the Kuznetsov or similar equation and a comminution concept like the Bond Index equation to enable the estimation of both the 50% and SOoh passing sizes (X& and X& ). By substituting these two passing sizes into the Rosin-Rammler equation, the characteristic size (Xc ) and the uniformity index (n) can be obtained to allow the calculation of various fragment sizes in a given blast. The effectiveness of this new fragmentation prediction approach has been tested using sieved data from small-scale bench blasts, available in the literature. This paper will cover all tested results and a discussion on the discrepancy between measurement and prediction due to possible energy loss during blasting.