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Effect of spatial variability on the slope stability using Random Field Numerical Limit Analyses

机译:随机场数值极限分析法研究空间变异性对边坡稳定性的影响

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摘要

This paper presents a probabilistic approach to evaluating the geotechnical stability problem by incorporating the stochastic spatial variability of soil property within the numerical limit analyses (NLAs). The undrained shear strength and unit weight of soil are treated as a random field which is characterized by a log-normal distribution and a spatial correlation length. The current calculations use a Cholesky Decomposition technique to incorporate these random properties in NLAs. The Random Field Numerical Limit Analyses are applied to evaluate the effects of spatial variability of soil property on the slope stability and failure mechanism of slope. Monte Carlo iterations are then used to interpret the slope reliability and the dimension for collapsed slope for selected ranges of the coefficient of variation in soil property and the ratio of correlation length to slope height. Finally, the variation in the dimension of collapsed slope is examined in terms of the variability of slope reliability.
机译:本文通过在数值极限分析(NLA)中纳入土壤属性的随机空间变异性,提出了一种评估岩土工程稳定性问题的概率方法。不排水的土壤抗剪强度和单位重量被视为随机场,其特征是对数正态分布和空间相关长度。当前的计算使用Cholesky分解技术将这些随机属性合并到NLA中。应用随机场数值极限分析法评价了土性的空间变异性对边坡稳定性和边坡破坏机理的影响。然后,使用蒙特卡洛(Monte Carlo)迭代来解释边坡可靠度以及坍塌边坡的尺寸,以选择土壤性质变化系数的选定范围以及相关长度与边坡高度的比率。最后,根据边坡可靠度的变化性来检验坍塌边坡的尺寸变化。

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