模糊关系方程法在矿山开采沉陷最大下沉值预测中的应用

为了准确预测矿山开采沉陷的最大下沉值,利用模糊数学理论和方法,建立地表最大下沉值与影响下沉的诸因素之间的模糊关系方程,并使用Fuzzy矩阵转换法找出了各指标之间的模糊关系,根据工作面的各影响因素指标,求解得到预计工作面地表最大下沉值。采用某矿区实测资料对模型进行验证,预计结果最大相对误差9%,可以满足矿山开采沉陷预测的要求。研究成果表明模糊关系方程法可以准确地预计煤矿开采沉陷地表最大下沉值,为矿区开采沉陷预测提供了一种新的方法。

Application of Fuzzy Relational Equation to the Prediction of Surface Maximum Vertical Subsidence in Mining Subsidence

In order to accurately predict the surface maximum vertical subsidence in mining, the fuzzy relational equation between mine subsidence factors and impacts is established with the fuzzy mathematical theory and methods. And the fuzzy matrix conversion method is adopted to find the relationship among the factors and get the maximum vertical subsidence based on the indicators of all relevant factors of the coal face. The measured data of the mining area are used to verify the model with the expected results of the maximum relative error 9%, which can meet the requirements of mining subsidence. Research results indicate that the fuzzy relational equation method can accurately predict the surface maximum vertical subsidence value, thus providing a new approach for mining subsidence prediction.