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开采沉陷引发地表变形,导致埋地管道大范围弯曲变形,对管道安全运行构成严重威胁。采用概率积分法预测沉陷区地表三维变形,考虑管-土间的轴向作用和管材非线性等因素,推导管道物理伸长和几何伸长的变形协调方程,迭代求解管道轴心应力和应变。通过实例分析了开采沉陷区埋地管道的应力-应变分布。结果表明,管道除了发生空间弯曲变形外,管-土间的摩擦力还导致管道产生轴向拉、压变形。解析方法计算结果与有限元方法吻合较好,适于以任意角度穿越沉陷区埋地管道的应力-应变计算。分析了开采参数、管道参数以及回填土性质等对管道的变形和应力影响,提出沉陷区埋地管道最大应力与应变的简化评定公式。
Mining subsidence caused surface deformation, resulting in a wide range of buried pipe bending deformation, pipeline safety pose a serious threat. The three-dimensional deformation of the subsidence area is predicted by using the method of probability integration, and the deformation coordination equation of physical and geometrical elongation of the pipe is derived considering the axial effect of the pipe and soil and the nonlinearity of the pipe. The axial stress and strain of the pipe are iteratively solved. An example is given to analyze the stress-strain distribution of the buried pipeline in the subsidence area. The results show that, in addition to the pipe bending deformation occurred in space, the pipe - soil friction also led to the pipeline axial pull, pressure deformation. The analytical results are in good agreement with the finite element method and are suitable for the stress-strain calculation of the pipeline buried in the subsidence area at any angle. The effects of mining parameters, pipe parameters and backfill properties on the deformation and stress of the pipeline are analyzed. A simplified assessment formula of the maximum stress and strain of the buried pipeline in the subsidence area is proposed.