基于蝙蝠算法的概率积分预计参数反演方法  

Probability integral prediction parameter inversion method based on bat algorithm

作　　者：李忠[1] 王磊[1] 滕超群 李世保 黄金中 LI Zhong;WANG Lei;TENG Chaoqun;LI Shibao;HUANG Jinzhong(School of Spatial Information and Surveying Engineering,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学空间信息与测绘工程学院,安徽淮南232001

出　　处：《中国矿业》2021年第8期89-96,共8页China Mining Magazine

基　　金：国家自然科学基金项目资助(编号:52074010);安徽理工大学研究生创新基金项目资助(编号:2021CX2142)。

摘　　要：开采沉陷预计参数在反演时存在精度不高、计算量大、过程复杂等问题,因此如何准确、快速反演概率积分预计参数成为开采沉陷预计的热点问题和难点问题。蝙蝠算法(bat algorithm,BA)作为一种元启式优化算法,具有算法简单、参数较少、计算速度快、求参精度高、易于编程实现等优点。因此,本文将BA应用到开采沉陷预计参数反演中,构建了以下沉与水平移动的实测值与预测值之差的绝对值的累计和最小为标准的适应度评价函数,构造出基于BA的概率积分预计参数反演模型。先通过模拟实验分析验证基于BA的概率积分法(probability integral method,PIM)模型的准确性与稳定性,再利用所构建的BA-PIM参数反演模型求解淮南市某煤矿1414工作面PIM参数,求解结果为:q=1.03,tanβ=1.97,b=0.38,θ=86.66°,S_(1)=-2.51 m,S_(2)=-13.42 m,S_(3)=60.36 m,S_(4)=42.37 m,下沉和水平移动拟合中误差为116.34 mm,符合工程应用标准。研究结果表明:本文所构建的BA-PIM参数反演模型对提高开采沉陷预计参数准确性具有一定的参考价值。There are problems in inversion of mining subsidence prediction parameters such as low accuracy,large calculation amount,and complicated process.Therefore,how to accurately and quickly invert the probability integration prediction parameters has become a hot and difficult problem in mining subsidence prediction.Bat algorithm(BA),as a meta-enlightenment optimization algorithm,has the advantages of simple algorithm,fewer parameters,fast calculation speed,high accuracy of parameter seeking,and easy programming.Therefore,this paper applies BA to the inversion of mining subsidence prediction parameters,constructs the minimum cumulative sum of the absolute value of the difference between the actual measured value and the predicted value of subsidence and horizontal movement as the standard fitness evaluation function,and constructs the probability based on BA Integral expected parameter inversion model.Firstly,verify the accuracy and stability of the BA-based probability integral method(PIM)model through simulation experiment analysis,and then use the constructed BA-PIM parameter inversion model to solve the PIM parameters of the 1414 work face of a coal mine in Huainan city.The solution result are q=1.03,tanβ=1.97,b=0.38,θ=86.66°,S_(1)=-2.51 m,S_(2)=-13.42 m,S_(3)=60.36 m,S_(4)=42.37 m,sinking and horizontal movement fitting median error is 116.34 mm,which is in line with engineering standards.The research results show that the BA-PIM parameter inversion model constructed in this paper has a certain reference value for improving the accuracy of mining subsidence prediction parameters.

关 键 词：开采沉陷预计 蝙蝠算法 参数反演 概率积分法 概率积分预计参数 

分 类 号：TD325[矿业工程—矿井建设]