放矿仿真的数学模型

Mathematic Model of Ore Drawing for Computer Simulation

为提高放矿仿真精度，分析了Ｄ．Ｊｏｌｅｙ仿真法中颗粒的移动概率密度函数，用实验测定了方差值与颗粒位置的关系，并研究了采场边界对散体流动状态的影响，据此建立了放矿仿真的数学模型．几个矿山的实际应用表明，该模型用于仿真散体高度从１０ｍ到６０ｍ的放矿结果。

Displacement probability function of particles in 3 D space was obtained by mathematically analysing the displacement probability of blocks given by D. Jolley. The relationship between variance of the random distribution and particle position was determined experimentally. The influence of stope boundary condition on the flow of loose materials was also studied in the experiment. Based on the study,a mathematical model of ore drawing was developed,and using this model,the loose particle movement was simulated for a range of material thickness of 10 to 60 m. The simulation outcome was close to the results from actual operation in mines with similar conditions.