Characterization Of The Internal Structure Of The Andrews-Mika Diagram

The problem of predicting the liberation spectra produced by a closed continuous grinding circuit is of fundamental importance for the design, optimization and control of most operations in an ore dressing plant. The only known approach through which such a calculation can be performed is the population balance model equation. The latest and certainly most significant progress made in this area is the solution proposed by King (1990), which requires one textural parameter that can be measured directly from the ore being studied. The main advantage of King's solution is that it does not require the estimation of hundreds of arbitrary parameters that cannot be independently measured, as required by the existing conventional solutions. However, King's solution relies heavily on a knowledge of the detailed internal structure of the Andrews-Milm diagram (Andrews and Mika, 1975). This has never been measured for any ore. The characterization of the internal structure of the Andrews-Mika diagram requires the measurement of the liberation spectra at several progeny sizes produced by the breakage of monosize, monograde particles at several different grades. In this paper, a procedure based on magnetic fluid fractionation for generating seven narrow-size, narrow-grade samples is presented. Each of these samples was then broken into six progeny size classes in an ultrasonic mill. The one-dimensional liberation spectra of each of the 42 progeny and seven parent particle samples were then measured by image analysis. The measured linear-grade distributions are presented in this paper. The calculation of the correspondent volumetric-grade distributions is discussed.