Prediction of Liberation From Unbroken 3-Phase Texture: A Case Study on a Coal Sample (e23ed2e0-27e1-45ee-9aa4-e6aa7dcb254e)

"Predicting the liberation spectra that are produced from breakage of two-phase ores under the random fracture assumption can be accomplished by measuring the conditional, on length, linear grade distribution directly from images obtained from a representative sample of the unbroken texture. The technique tremendously simplifies the prediction problem by avoiding the multiple convolutions that arise from the traditional method based on a description of texture from a measurement of the chord length distributions associated with each phase in the unbroken texture. For a 3-phase system, the phase transition probabilities associated with the textural information make the traditional calculation an almost insurmountable mathematical problem. The direct measurement procedure on the other hand can be expanded to three phases comparatively easily.A coal sample is used here to demonstrate the procedure. It is concluded that the conditional, on length, linear grade distribution can be predicted in the same fashion for multi-phase systems. Accurate stereological conversion is the practical hurdle to be overcome for multi-phase systems, but it is already a reality for 3- phase systems."