为准确快捷计算煤层底板破坏深度,保证工作面安全生产以及防治水措施的制定,须建立多影响因素下的煤层底板破坏深度统计公式。通过获取的文献与现场资料,得到国内92组煤层底板破坏深度的实测结果,选取其中80组利用灰色关联度理论和多元线性回归方法分析了采深、工作面斜长、煤层倾角、采高对煤层底板破坏深度的影响权重,构建了煤层底板破坏深度的计算模型,并对其余12组实测数据进行了模型检验,结果表明:煤层采深

To accurately and efficiently determine the failure depth of the coal seam floor,ensuring the safety of working faces and developing effective water control measures,it is essential to establish a statistical formula that considers multiple influencing factors. This study collected literature and field data,acquiring 92 sets of measured results for coal seam floor failure depth in China. Among these,80 sets were selected for an analysis of the influenceweights of mining depth,working face oblique length,coal seam dip angle,and mining height on the failure depth of the coal seam floor. Grey correlation theory and multiple linear regression were employed for this analysis. Consequently,a calculation model for the failure depth of the coal seam floor was constructed and tested using the remaining 12 sets of measured data. The results indicated that mining depth had the greatest impact,followed by coal seam dip angle and mining height. Specifically,when the coal seam depth exceeded 500 m,the order of influence weights on the failure depth of the coal seam floor was mining depth,working face oblique length,mining height,and coal seam dip angle. Empirical formulas for the four types of coal seam floor failure depth were derived using the multiple linear regression analysis model in SPSS software,based on the analysis of grey correlation theory. By comparing the predicted values with the measured values,it was observed that both exhibited similar variation characteristics as the buried depth of the coal seam increased. Additionally,the test results demonstrated that the absolute and relative errors for coal seam buried depths ≥500 m were slightly larger compared to those for depths < 500 m. However,overall,the average absolute error of the predicted values for both types of formulas was less than 3 m,and the average relative error was less than 20%. These research findings can serve as a valuable reference for predicting the failure depth of the coal seam floor.