Derivation of Fracture Intensity from Measured Fragmentation

Prediction of fragmentation in Taconite Mining is an important aid to blasting engineers. A simple theory relates the intensity of radial fracture per unit length to distance from the borehole, from which a power law for mass fraction passing versus size is derived. For the lower end of the size distribution, the equation agrees well with several published examples of fragmentation from sieving of full scale blasts. Large size fragments arise from interaction of fractures from neighboring holes and pre-existing joints. Analysis of two assumptions regarding radial fracture interaction shows that complex fragmentation distributions can arise from the simple mechanisms proposed. Measured fragmentation falls between the two extremes calculated.