An extensive experimental campaign was developed in a continuous 6 x 2' (D x L) pilot scale SAG mill. The effect of the feed flow rate, feed solids concentration, ball filling fraction and feed size distribution, over the mill performance was investigated. The residence time distribution (RTD) for the fine material was measured in every test, in order to detect changes in the mixing characteristics of the mill under different operating conditions. Based on phenomenological considerations a state model of the SAG mill was developed, which independently incorporates mechanisms such as: grinding, mass transport and classification in the grate discharge. These can be parametrised using information and optimisation software. This comminution model extends the compensation condition, which is a conventional hypothesis for ball milling, to the semi-autogenous mill grinding. The mathematical analysis of this hypothesis, applied to SAG mills, allow the reduction of the number of parameters in the model, using the relationship Ki = (1-bii)Si, where b and S have the conventional meaning. Therefore, the distribution fracture matrix bij and the specific fracture rate SIE are grouped in just a single diagonal matrix Ki.