2. Modeling and Simulation of Mineral Processing Unit Operations

Mathematical models of mineral processing unit operations have been developed and used for a variety of purposes. Models, defined as equations which mathematically approximate the behavior of process units, are being employed in simulators to evaluate proposed flowsheets, to investigate flowsheet modifications, to study the effect of variables on circuit behavior, to optimize the performance of circuits off-line, and to compare alternate control strategies (Mular and Herbst, 1978). Models developed for mineral processing operations may be placed in one of two general categories: phenomenological (based on mechanism) and. empirical (based on experimental data only). Dynamic models (including time as a variable) .are useful for control studies, while steady-state models (independent of time) are employed in flowsheet evaluations. Phenomenological models are potentially more flexible and accurate than empirical models. However, models constructed from theoretical knowledge are less easily developed compared to empirical expressions fitted statistically to experimental data. The latter apply only over the range of data acquired. Most often, models used in practice are the result of a combination of theoretical and empirical approaches.