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Effect of random field element size on reliability and risk assessment of soil slopes

机译:随机场元素大小对土斜坡可靠性及风险评估的影响

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摘要

Slope reliability analyses considering spatially variable soil properties generally necessitate a discretization of a slope region into disjoint zones called random field elements (RFEs). Few efforts have been devoted to investigating the effect of RFE size on the assessment of reliabilities and risks of slopes possibly due to the huge computational burdens associated with a small RFE size. This study systematically investigates the influence of RFE size on statistics of factor of safety (FS) and sliding mass (SM), distribution of critical slip surfaces, reliability, and risk of slopes. As the size of RFE is small, a stepwise covariance matrix decomposition method (CMDM) is used to effectively simulate the random field of the shear strength parameter. This stepwise CMDM is justified using a simple and straightforward method. Monte Carlo simulation (MCS) is employed to estimate the probability of failure and risk of slopes. Three cohesive slopes are adopted to investigate the effect of RFE size on the statistics of FS and SM, distribution of critical slip surfaces, system reliability, and risk of the slope. It is shown that the RFE size has a relatively larger influence on the distribution of SM than that of FS. A relatively larger size of RFE tends to overestimate the slope failure probability and risk. The critical size of RFE required for an accurate evaluation of the statistics of FS and SM is smaller than that required for the evaluation of failure probability and risk.
机译:考虑到空间可变土壤特性的斜率可靠性分析通常需要将斜率区域的离散区域分成称为随机场元素(RFE)的不相交区域。很少有努力致力于调查RFE规模对可靠性评估的影响,可能是由于与小RFE大小相关的巨大的计算负担,可能是由于巨大的计算负担。本研究系统地研究了RFE大小对安全性(FS)和滑动质量(SM)的统计数据的影响,临界滑槽的分布,可靠性和斜坡风险。随着RFE的大小小,逐步协方差矩阵分解方法(CMDM)用于有效地模拟剪切强度参数的随机场。使用简单且直接的方法,该逐步CMDM是合理的。 Monte Carlo仿真(MCS)用于估计失败的可能性和斜坡的风险。采用三个粘性斜坡来研究RFE大小对FS和SM统计的影响,临界滑槽的分布,系统可靠性和斜坡风险。结果表明,RFE大小对SM分布的影响比FS的分布相对较大。相对较大尺寸的RFE倾向于高估斜坡故障概率和风险。准确评估FS和SM统计所需的RFE的临界大小小于评估失败概率和风险所需的RFE。

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