基于断裂力学倾斜煤层采空区顶板破坏高度研究  

Study on roof failure height of goaf in inclined coal seam based on fracture mechanics

作　　者：李亚涛 张宝安[1] Li Yatao;Zhang Bao'an(College of Mining Engineering,Liaoning Technical University,Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学矿业学院,辽宁阜新123000

出　　处：《能源与环保》2023年第12期16-21,共6页CHINA ENERGY AND ENVIRONMENTAL PROTECTION

基　　金：国家自然科学基金项目(51704148)。

摘　　要：导水裂隙带发育高度预测对于预防煤矿的突水、瓦斯突出和顶板事故至关重要。基于断裂力学和弹性力学相关理论,建立了倾斜煤层采空区应力求解力学模型,结合双剪强度屈服准则,推导得出采空区覆岩屈服破坏高度的表达式,并根据表达式对导水裂隙带发育高度主要影响因素进行了分析,最后通过现场实例验证了该公式的正确性与准确性。结果表明,基于理论计算得到的结果与现场实测导水裂隙带高度相比,最大相对误差为2.61%,最小相对误差为0.93%,采用理论计算结果与现场实测结果接近。导水裂隙带发育范围主要受工作面赋存和顶板岩性的影响,与煤层埋深、倾角和顶板内摩擦角呈正相关,与顶板黏聚力呈负相关。研究成果可为倾斜煤层开采导水裂隙带发育高度预计提供理论依据和指导。The prediction of the development height of water conducted zones is very important for preventing water inrush,gas outburst and roof accidents in coal mines.Based on the theory of fracture mechanics and elastic mechanics,the mechanical model of stress solution in inclined coal seam goaf was established.Combined with the double shear strength yield criterion,the expression of yield failure height of overlying rock in goaf was derived.And based on the expression,the main influencing factors on the development height of water conducted zones were analyzed.Finally,the correctness and accuracy of the formula were verified through on-site examples.The results show that the maximum relative error between the theoretical calculation results and the on-site measured height of the water conducted zone is 2.61%,and the minimum relative error is 0.93%.The theoretical calculation results are close to the on-site measured results.The development range of water conducted zone is mainly affected by the occurrence of working face and the lithology of roof.It is positively correlated with the buried depth,dip angle and internal friction angle of roof,and negatively correlated with the cohesion of roof.The research results can provide theoretical basis and guidance for the prediction of the development height of water conducted zone in inclined coal seam mining.

关 键 词：断裂力学 导水裂隙带 倾斜煤层 屈服范围 

分 类 号：TD31[矿业工程—矿井建设]