放矿随机介质理论移动概率密度方程研究

Study on movement probability density equation of ore-drawing stochastic theory

建立了散体移动概率模型,通过分析放出体形态得出了散体颗粒移动迹线表达式,指出颗粒移动迹线上任意两点横坐标之比等于对应层位方差之比,是随机介质放矿理论的一条重要性质,否则概率场与散体移动场、速度场无法统一,推出了膨胀散体和无膨胀散体移动概率密度方程,各项参数物理意义明确,其结果更符合实际散体移动场.

The movement probability models of loose materials are set up, and the expression of movement trajectory of granules is obtained by analyzing the theoretical shapes of drawn body, and points out: it is an important property in stochastic medium theory of oredrawing that the rate of the xcoordinates of any two points on any movement trajectories of granules equals the rate of variances of corresponding levels, otherwise, the movement probability field can't coincide with the movement and velocity field. Based on it the author puts forward the movement probability density equations of nondilative and dilative loose materials, the parameters' meanings in physics are clear in equations as well as the outcomes accord well with the movement field of real granular mass.