在晋城矿区随着3#煤资源的逐步枯竭,许多矿井迫切希望能够开采15#煤层。但15#煤顶板为厚、硬的石灰岩顶板,开采可能形成顶板大面积悬露而突然断裂垮落、造成生产安全问题。该文针对卧庄煤矿15#煤层的赋存情况,根据关键层理论确定老顶岩梁,采用弹性地基梁模型解析计算其弯曲挠度;采用Fourier积分变换方法解析计算底板岩层的底鼓量;并计算直接顶的冒落高度。根据老顶弯曲挠度、底板底鼓量和煤层冒落高度三者之和充满采空区,来确定相对应的开采宽度,以判别其石灰岩顶板的稳定性。计算显示:当控制直接顶石灰岩-1、石灰岩-2随开采及时冒落、开采宽度达到22.55m时,老顶岩层可与冒落岩石相接触,表明卧庄矿15#煤层开采是安全的。这里所采用的分析方法对于晋城矿区及相类似坚硬顶板煤层的安全开采具有参考价值。 With the gradual depletion of the 3 # coal resources in the Jincheng mining area, many mines are eager to exploit the 15 # coal seam. However, 15 # coal roof is thick, hard limestone roof, the mining may form a large area exposed roof suddenly rupture collapse, resulting in production safety issues. According to the occurrence of 15 # coal seam in the Zhuangzhuang Coal Mine, the old roof rock beam is determined according to the key layer theory and the bending deflection is calculated by using the elastic foundation beam model. The bottom drum volume of the floor rock is analyzed and calculated by using Fourier integral transform method. Calculate the height of the direct roof. According to the bending deflection of old roof, the amount of bottom drum and the height of coal seam, the sum of the three is full of goaf to determine the corresponding mining width to judge its limestone roof stability. Computation shows that when controlling the direct top limestone-1 and limestone-2 with the mining in time and the mining width reaches 22.55m, the old top rock can be contacted with the slump rock, which shows that the mining of No.15 seam in the coal mine of the No.10 Mine is safe. The analytical methods used here have reference value for the safe mining of Jincheng mining area and similar hard roof coal seam.