An introduction to titanium minerals is provided along with a brief history of high tension roll (HTR) separation and its applications. Current HTR theory is critically reviewed and deficiencies in previous modelling work are identified. These problems are recognised as the likely reason why past models required empirical manipulation to reproduce observed separation behaviour. An updated theory of charge decay in a particle bed is developed for HTR applications. Particle bed interactions and their effects on electrostatic forces and discharge rates are examined, leading to a reviewed analysis of force balance. The theoretical contributions are incorporated into a new HTR model which takes a mechanistic approach to describing machine operation, as opposed to previous empirical-based work in the area. A simplified electrostatic field model is also developed. Atmospheric effects on separation behaviour are ignored in the modelling. Experimental separations are used to validate new model performance, where comparisons are specifically designed to test the theoretical developments on charge decay and force balance in a particle bed. The new model is also compared to the Dance (1992) HTR model, embedded in JKSimSand, the most recent HTR model with an empirical basis. An error analysis shows the new model performs as well as, or better, than JKSimSand in most respects. The fact that this is achieved with a mechanistic approach validates the new developments in particle bed charge decay and force theory, and sets the foundation for mechanistic HTR simulation.