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将井壁、冻结壁、基岩假设为3层无限长厚壁圆筒,求解获得凿井期基岩冻结壁对井壁径向荷载fa的最大理论解;而后,建立空间轴对称数值模型,系统研究立井“短掘短砌”的施工工艺、基岩冻结壁与井壁物理力学参数等对fa的影响规律。结果表明:当井壁刚度越大、泊松比越小,壁后基岩刚度越小、泊松比越大时,fa越大;fa的最大数值解随井筒埋深的增加而增长,其沿井壁外缘的分布规律可表示为井筒埋深的线性函数。
The wellbore, frozen wall and bedrock are assumed to be 3-layer infinite-thickness thick-walled cylinders, and the maximum theoretical solution of the wall-rock radial load fa during the shaft-sinking period is obtained. Then, a space axisymmetric numerical model is established, The systematic study of vertical wells “short excavation short ” construction technology, bedrock frozen wall and borehole physical and mechanical parameters on the law of fa. The results show that the fa is larger when the stiffness of the borehole wall is larger, the Poisson’s ratio is smaller, the stiffness of the bedrock is smaller and the Poisson’s ratio is larger. The maximum numerical solution of fa increases with the increase of the borehole depth. The distribution along the outer edge of the borehole wall can be expressed as a linear function of wellbore depth.