崩落矿岩移动概率方程及其应用

    PROBABILITY EQUATION OF BROKEN ROCK STOCHASTIC DISPLACEMENT AND ITS APPLICATION IN CAVING SYSTEM

    • 摘要: 本文用概率论方法研究崩落矿岩移动规律。首先按理想球体模型结合实验建立崩落矿岩移动概率方程,并论述了方程中各参数的物理意义及其测定方法;其次应用该方程作为放矿计算机仿真的数学模型,改进了仿真方法;最后应用改进后的仿真方法,研究了急倾斜中厚矿体分段留矿崩落法、缓倾斜厚煤层综放采煤法采场结构参数与回收指标的关系,给出了用于优化参数的回归方程。

       

      Abstract: An experiment for measuring subsidence Gaussian Curve was made and it has been found that the standard deviation of the Gaussian Curve (σ) varies as the original height of subsidence layer (z), that is, σ2 = 1/2βzα. From this and analysing the process of broken rock movement by means of the pellet filling into vacancy model, a probability equation of broken rock stochastic displacement is presented, which contains a parameter for adjusting the shape of drawn profile when ore drawing through a bottom hole. The meaning of parameters in the equation is discussed in detail, and the method for determining them is given. By use of the equation as its mathematical model, the computer simulation method in ore drawing is being improved and perfected. Two application examples of the simulation are introduced in the paper, and they can prove that new simulation method can satisfy the requirement for predicting the recovery of ore or coal and optimizing the construction of mining stope in caving system.

       

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