화학공학소재연구정보센터
International Journal of Mineral Processing, Vol.57, No.2, 125-134, 1999
Numerical verification of a non-preferential-breakage liberation model
A model is presented that allows the liberation distribution of particles resulting from comminution to be estimated using the texture of the original ore. The model, which assumes non-preferential breakage, is based on stereology and therefore requires the texture to be defined in either one or two dimensions. The problem is solved by separating it into two tasks. The first task is to obtain a representation of the planar or linear intercepts that would be obtained if the ore was broken and a set of similarly-sized child particles was sectioned. This is done by using the intercept distribution of previously-broken similarly-sized particles to create a mask. The mask is applied to the texture to simulate the creation of the new intercepts. The second task is to estimate the liberation distribution using the intercepts. This problem is solved by using a stereological correction. The model has been verified by numerical simulation. A Boolean ore with spheres as primary grains was simulated in three dimensions. This ore was intersected with similarly-sized spheres to simulate breakage into spheres. The liberation distribution of these spheres provides the actual liberation distribution. The liberation distribution was also estimated, for both planar and linear intercepts, by using the masking method and a stereological correction. The accuracy of the model for the planar intercepts was found to be very good. For the linear intercepts, the accuracy of the model was not as good, nevertheless it provided a much better estimate than using the uncorrected liberation distribution for linear intercepts.