An Integrated Size Reduction-Mineral Liberation Model

Success has been achieved in developing mathematical models of rod mills, ball mills and recently to a limited extent autogenous grinding mills. There is also considerable activity in the development of mathematical models of various mineral concentration opera¬tions, such as flotation, magnetic separation and electrostatic concentration. However, at present there is a technological gap which hinders the integration of both size reduction and mineral concentration models into an overall process simulation model. This gap exists because size reduction models have been aimed at describing the size of the product and have not dealt with the equally important problem of identifying the product composition in each size fraction. Without this information the concentration model is ineffective. This situation is especially critical in the simulation of the magnetite-taconite beneficiation process, where a portion of the ore is rejected from the process following each stage of size reduction. Consideration has therefore been given to the merging of a size reduction model and a mineral liberation model to permit prediction of mineral composition as a function of size. The results of this integration of size reduction and mineral liberation models are discussed from both theoretical and practical viewpoints using batch grinding data for a magnetite iron formation sample as a demonstration vehicle.