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首页> 外文期刊>Canadian Geotechnical Journal >Influence of cross correlation between soil parameters on probability of failure of simple cohesive and c-phi slopes
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Influence of cross correlation between soil parameters on probability of failure of simple cohesive and c-phi slopes

机译：土性参数之间的互相关对简单黏性和c-phi边坡破坏概率的影响

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摘要

This paper focuses on the calculation of probability of failure of simple unreinforced slopes and the influence of the magnitude of cross correlation between soil parameters on numerical outcomes. A general closed-form solution for cohesive slopes with cross correlation between cohesion and unit weight was investigated and results compared with cases without cross correlation. Negative cross correlations between cohesion and friction angle and positive cross correlations between cohesion and unit weight, and friction angle and unit weight were considered in the current study. The factors of safety and probabilities of failure for the slopes with uncorrelated soil properties were obtained using probabilistic slope stability design charts previously reported by the writers. Results for cohesive soil slopes and positive cross correlation between cohesion and unit weight are shown to decrease probability of failure. Probability of failure also decreased for increasing negative cross correlation between cohesion and friction angle, and increasing positive correlation between cohesion and unit weight, and friction angle and unit weight. Probabilistic slope stability design charts presented by the writers in an earlier publication are extended to include cohesive-frictional (c-phi) soil slopes with and without cross correlation between soil input parameters. An important outcome of the work presented here is that cross correlation between random values of soil properties can reduce the probability of failure for simple slope cases. Hence, previous probabilistic design charts by the writers for simple soil slopes with uncorrelated soil properties are conservative (safe) for design. This study also provides one explanation why slope stability analyses using uncorrelated soil properties can predict unreasonably high probabilities of failure when conventional estimates of factor of safety suggest a stable slope.
机译：本文着重于计算简单无筋边坡的破坏概率，以及土壤参数之间的互相关幅度对数值结果的影响。研究了内聚力和单位重量之间具有互相关性的粘性斜坡的一般封闭形式解，并将结果与​​无互相关的情况进行了比较。在当前研究中考虑了内聚力和摩擦角之间的负互相关以及内聚力和单位重量之间的正互相关，以及摩擦角和单位重量之间的正互相关。使用先前由作者报告的概率边坡稳定性设计图，可以得到具有不相关土壤属性的边坡的安全系数和破坏概率。粘性土坡度的结果以及粘性与单位重量之间的正互相关性显示可以降低破坏的可能性。随着内聚力和摩擦角之间负相关关系的增加，以及内聚力和单位重量之间以及摩擦角和单位质量之间的正相关关系的增加，失效的可能性也降低了。作者在较早的出版物中提出的概率边坡稳定性设计图已扩展为包括具有粘性输入摩擦系数和不具有土壤输入参数互相关关系的内聚摩擦（c-phi）土坡。本文介绍的一项重要成果是，土壤属性的随机值之间的互相关可以减少简单边坡情况下的破坏概率。因此，作者以前针对具有不相关土壤属性的简单土质边坡的概率设计图对于设计是保守的（安全的）。这项研究还提供了一种解释，为什么当传统的安全系数估算值表明稳定的边坡时，使用不相关的土壤属性进行边坡稳定性分析可以预测不合理的高破坏概率。

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