Abstract: By combining the discrete element method with the stochastic medium theory， the collision movement model of non-uniform granular media is proposed， which includes random generation of particles， stability analysis of granular units， initial movement of granular unit， collision process of granular unit and randomness of movement of particles and so on. Based on the established collision movement model of non-uniform granular media， a 2D drawing simulation system was developed using C# language， which includes four modules of parameter input， model generation， emulational simulation， and data statistics. A pillarless sublevel drawing simulation scheme was designed and was found to be consistent with the study from relevant literatures， indicating it is feasible to simulate discrete granule flow using collision movement model of non-uniform granular media.

Key words: non-uniform, caved ore and rock, granular flow, ore-drawing simulation, random theory