煤炭工程 ›› 2022, Vol. 54 ›› Issue (6): 84-89.doi: 10.11799/ce202206017

• 研究探讨 • 上一篇    下一篇

基于叠梁应力势函数的煤层顶板破坏研究

经来旺,彭绍驰   

  1. 安徽理工大学
  • 收稿日期:2022-01-21 修回日期:2022-02-18 出版日期:2022-06-15 发布日期:2022-07-06
  • 通讯作者: 彭绍驰 E-mail:2411759220@qq.com

Study on roof failure of coal seam based on stress potential function of laminated beams

  • Received:2022-01-21 Revised:2022-02-18 Online:2022-06-15 Published:2022-07-06

摘要: 为了研究煤矿开采中煤层顶板的破坏程度及破坏特征,将直接顶与间接顶简化为遍布水平节理与垂直节理的叠梁模型,引入弹性力学中的应力势函数,结合摩尔-库伦强度准则分析煤层顶板的破坏域尺寸及形状|并使用3DEC软件进行进一步验证。结果表明:煤层顶板的破坏可分为由水平节理造成的离层以及由垂直节理造成的断裂|离层破坏域呈上陡下平的“类双曲线”分布、断裂破坏域呈拱形分布|随着间接顶弹性模量的增大,直接顶的离层宽度、高度明显降低|随着间接顶层高的增加,间接顶的断裂高度占比逐渐降低,离层宽度逐渐提升。这说明:当层高确定时,煤层顶板应力向硬岩转移,造成更大的破坏域面积|当岩性确定时,较大的间接顶层高可以显著降低断裂高度,转而提高离层破坏宽度。可以为煤层顶板破坏领域的工程实际问题提供理论依据。

关键词: 叠梁模型, 叠梁应力势函数, 顶板破坏, 遍布节理, 破坏参数

Abstract: In order to study the failure degree and characteristics of coal seam roof in coal mining, the direct roof and indirect roof are simplified to a stacked beam model with horizontal and vertical joints, and the stress potential function in elasticity is introduced to analyze the size and shape of the failure region of coal seam roof combined with Mohr-Coulomb strength criterion, which is further verified by 3DEC software. The results show that the failure of coal seam roof can be divided into separation caused by horizontal joints and faults caused by vertical joints, the failure domain of separated layer is "quasi-hyperbola" distribution with steep upper and lower plane, and the fracture failure domain is arched distribution. With the increase of the elastic modulus of the indirect top, the width and height of the separation layer of the direct roof decrease obviously, and with the increase of the height of the indirect top layer, the fracture height ratio of the indirect top decreases gradually, and the width of the separation layer increases gradually. This shows that when the layer height is determined, the stress of the coal seam roof is transferred to the hard rock, resulting in a larger area of failure area; when the lithology is determined, the larger indirect top height can significantly reduce the fault height and increase the separation failure width. This study can provide relevant theoretical basis for practical engineering problems in the field of coal seam roof failure.

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