Using dimensional-regression analysis to predict the mean particle size of fragmentation by blasting at the Sungun coppe

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ORIGINAL PAPER

Using dimensional-regression analysis to predict the mean particle size of fragmentation by blasting at the Sungun copper mine E. Bakhtavar & H. Khoshrou & M. Badroddin

Received: 2 July 2013 / Accepted: 23 December 2013 / Published online: 14 January 2014 # Saudi Society for Geosciences 2014

Abstract A methodology was founded on the basis of a dimensional analysis procedure, together with multivariate nonlinear regression analysis which is used to predict mean particle size of fragmentation at the Sungun surface mine. A practical database was made through a number of blasting operations in various levels of the mine with geomechanical investigations and experimental tests. The mean particle size is first considered to be a function of various controllable and uncontrollable variables. Then by setting up a nonlinear correlation among the independent dimensionless products obtained from the dimensional analysis, a fundamental equation has been deduced. The equation can be practically used by mining engineers in all situations where the mean particle size of fragmentation by bench blasting should be predicted. Capability of the proposed method is determined by comparing its predictions with the real measurement (observation) of sieve analysis, a standardized image-processing technique, and the predictions by the Kuz–Ram model as the most applied model, together with the modified version of the Kuz–Ram model. The results obtained from the proposed method are closer to the real results of the sieve analysis than those of the other methods. Finally, the methodology was found to be strong and better in prediction than in image processing and also in both versions of the Kuz–Ram model.

Keywords Fragmentation . Mean particle size . Dimensional-regression analysis . Sieve analysis E. Bakhtavar (*) Department of Mining and Material Engineering, Urmia University of Technology, Urmia, Iran e-mail: [email protected] H. Khoshrou : M. Badroddin Department of Mining and Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran

Introduction Rock fragmentation size is followed by some subsystem operations such as loading, hauling, crushing, classification, and also processing. On the other hand, size distribution of fragmentation should be practically acceptable for the subsystems especially for loading and crushing. The preferred size of fragmentation must be assigned according to the capacity and size of loading and hauling subsystems. That range of fragment size is adequate for loading equipment which there is no need for the secondary blasting. There are a number of parameters, such as rock mass characteristics, discontinuities, the utilized charge properties, etc., which directly control the size of fragments. Totally, size distribution of fragmentation is optimum if it brings about minimization of the energy consumption and the operational costs of the whole subsystems, together with maximization of their throughput. Further, in order to have a stable waste dump with a suitable face angle,