The Finch-McIvor Functional Performance Based Grinding Circuit Modeling System

"This paper presents the development of a new grinding circuit steady-state modeling system. It is fundamentally based on the “functional performance equation”, which has now been used to improve the performance of numerous grinding circuits. This equation characterizes the two distinct efficiencies that are at work in a ball milling circuit, and how these relate to overall circuit productivity. It does so based on the particle size chosen to distinguish between coarse and fine (product size) material. Now, by applying it to all the material size classes, a simple yet reliable ball mill model was created. Combined with cyclone recoveries, the complete, detailed grinding circuit performance can be exactly reproduced mathematically by the computer program. It can then be used with separate process equipment application engineering methods to systematically engineer grinding circuit improvements. The development, features, uses and limitations of the system are described.INITIAL DEVELOPMENT OF THE CIRCUIT MODELThe Functional Performance Equation for Closed Circuit Ball (or Pebble) MillingIt has been shown that closed grinding circuit performance can be effectively characterized by the “functional performance equation” for closed ball or pebble milling circuits (McIvor, 2006a). One method of its derivation is summarized here for convenient reference.First select a cut-off size to define “coarse” versus “fine” or product size material for the grinding circuit. Any particle mesh size can be used to differentiate between coarse material and fines, but the circuit target P80 is often an effective choice for these purposes.Any energy expended on “fines” is wasted. It also generates “extreme fines” often detrimental to downstream processing (McIvor and Finch, 1991). Only the portion of the mill power draw that is expended on coarse material is effectively used. This portion can be estimated from the mill feed and discharge size distributions (McIvor, 1988a) by taking the average of the percentage of “coarse” material in the mill feed and discharge. We can define the thusly calculated percentage of the mill power that is expended on coarse material in the mill as the ball mill circuit “classification system efficiency” (CSEff). The “effective mill power” (EMP) can be calculated from the total mill power (TMP) as follows."