基于Boltzmann函数的开采沉陷预测模型

Model for mining subsidence prediction based on Boltzmann function

为更加准确地预计出煤炭开采后地表的移动和变形,基于Boltzmann函数,利用数学分析的方法,提出了新的开采沉陷预测模型,通过理论分析推导出了模型中的参数与概率积分法参数之间的关系。在新模型中提出了严重影响半径R的概念,大小约为主要影响半径r的1/4,其他参数的物理意义和取值方法与概率积分法相同。以淮南矿区3个工作面为例进行验证表明,新模型与概率积分法模型相比拟合求参效果更优,尤其是在盆地边缘处收敛比概率积分模型缓慢,该模型更适用于巨厚冲击层的矿区。

In order to predict the surface movement and deformation more accurately, a new prediction model of mining subsidence was provided based on Boltzmann function by mathematic analysis. Through theoretical analysis, the relationship of parameters between new model and probability integration model was deduced, and put forwards the index of important influence radius, and equal to a quarter of main influence radius, other parameters were the same as the probability integration model. In combination with a case verification of three working faces in Huainan mining area, the study results show that compared with probability integration the new model is better in determining parameters by fitting. Especially at the boundary of the subsidence basin the convergence is slower. And the new model is suitable for sick soil layers mining area.