Abstract This study establishes a random model for evaluating the secant failure induced by the variation of pile diameter and drilling inclination. Based on the borehole shrinkage theory, the shape of piles in a spatial heterogeneous stratum can be generated by establishing a non-stationary random field. The drilling direction is described by two-dimensional random variables. The influences of different factors, including design parameters, geological parameters and drilling operation levels on the cumulative density functions (CDFs) of the secant piles overlap are analyzed by conducting Monte Carlo simulations. A design flow chart is proposed which can help engineers to devise safe and economical secant piles.

中文翻译：

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随机缺陷引起的割线桩破坏的随机分析

摘要 本研究建立了评估桩径变化和钻孔倾角引起的割线破坏的随机模型。基于钻孔收缩理论，可以通过建立非平稳随机场来生成空间异质地层中桩的形状。钻孔方向由二维随机变量描述。通过蒙特卡罗模拟分析了设计参数、地质参数和钻井作业水平等不同因素对割线桩重叠累积密度函数(CDFs)的影响。提出了一个设计流程图，可以帮助工程师设计出安全、经济的割线桩。