基于量纲分析的缓倾斜空区顶板稳定性的影响规律研究

缓倾斜薄-中厚矿床开采过程中，影响空区顶板稳定性的因素较多，多因素影响条件下的影响规律较为复杂且难以定量化。针对以上问题，以上横山矿为研究对象，根据单因素试验数值模拟结果确定了缓倾斜空区顶板拉应力最大值 和沉降量最大值 的影响因素并分析了其影响特征，基于各影响因素的物理含义分别构建了 量纲模型和 量纲模型；在此基础上，设计了缓倾斜空区顶板稳定性影响因素的数值模拟均匀试验，根据试验结果定义了顶板 和 的无量纲函数关系式；选取了缓倾斜矿床空区顶板沉降的实例对 无量纲函数关系式进行了验证，验证结果与实测值基本吻合，平均误差为9.68%，具有较好的应用价值。该成果可为缓倾斜矿床采矿参数的选取、空区顶板的管理等提供参考。

Study on influence of stability of gently inclined stope roof based on dimensional analysis

To deal with the difficulty of quantifying the complex influence relations between multiple influencing factors of the stability of stope roof in the gently inclined thin to mid-thick deposit, Shanghengshan Mine is selected as a case study. Firstly, the influencing factors of stope roof’s maximum tensile stress ( ) and maximum settlement ( ) were determined through the numerical results of the single factor test program, and their impact features were analyzed. Secondly, according to the physical meaning analysis of the influencing factors, the dimensional model and dimensional model were defined, respectively. Based on these models, the numerical simulation uniform test of influencing factors of stope roof’s stability was designed, and the dimensionless equations of stope roof’s and were deduced through experimental results. Finally, the dimensionless equation of stope roof’s was verified through the comparisons with the measured settlement from several gently inclined mines. The verified results show that the predictions results from the dimensionless equation are basically consistent with measured results with an average error of about 9.68%, which shows good prediction effectiveness. This study can provide a reference for the selection of mining parameters and the management of stope roof of gently inclined mines.