The 3-D Shape of Blasted and Crushed Rocks: From 20 ¿m to 38 mm
Edward J. Garboczi, Michael Taylor, Xuefeng Liu
Granodiorite material from a rock quarry in California was prepared by first quarrying large boulders, and then crushing down to smaller sizes. A range of particle sizes, from 0.0175 mm to 45.1 mm, was scanned using X-ray computed tomography (X-ray CT) and the shape of individual particles obtained from the resulting 3-D images was analyzed using spherical harmonic-based techniques. The size range covered was more than three orders of magnitude in size and more than ten orders of magnitude in volume. For this dataset, comprised of over 58,000 particles, we have computed the distributions of four different and independent shape parameters and found that the shape of the particles was the same, within statistical fluctuation, for three different size classes that covered the complete range considered: 0.0175 mm to 0.24 mm, 0.24 mm to 3.29 mm, and 3.29 mm to 45.1 mm. This implies a degree of similarity between blasting and crushing in terms of the fracture processes involved in fragmenting rocks, since most or all of the rocks were subjected to both. We also compare a simulation of 2-D optical scanning results to the true 3-D X-ray CT results, showing the strengths and weakness of a 2-D approach to particle shape and giving empirical fits, with uncertainties, connecting three sets of 2-D and 3-D parameters.