Abstract The present study investigates the influences of spatial variability and randomness of the soil strength parameters on the load-settlement response of a strip footing placed on a geocell-reinforced soil slope by combining finite difference method with random field model. Both isotropic and anisotropic random fields of lognormally distributed soil friction angle are generated with the utilization of Cholesky-Decomposition technique. In some representative cases, cross-correlation between soil friction angle and soil cohesion, and spatial variability of soil dilation angle are considered. The mean and variation in the load carrying capacity of the footing corresponding to a particular settlement value are obtained after running several numbers of Monte-Carlo simulations. Mean load carrying capacity of the footing reduces with increasing randomness and spatial variation in soil properties, which are defined by the higher values of coefficient of variation and lower values of correlation lengths in both the horizontal and vertical directions. Influence of soil dilatancy is found significant for higher values of soil friction angle. Apart from the above-mentioned parameters, effects of footing setback distance, position of water table, and flexural rigidity of the geocell mattress on the load-settlement response of the footing are examined. Finally, the importance of performing probabilistic analysis is explained from the point of view of failure probability of the footing, calculated with respect to few design factors of safety.

中文翻译：

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土壤空间变异性对土工格室加筋边坡条形基脚响应的影响

摘要 本研究将有限差分法与随机场模型相结合，研究了土体强度参数的空间变异性和随机性对土工格室加筋土坡上条形基础荷载沉降响应的影响。利用 Cholesky-Decomposition 技术生成对数正态分布的土壤摩擦角的各向同性和各向异性随机场。在一些有代表性的案例中，考虑了土壤摩擦角与土壤黏聚力之间的互相关，以及土壤膨胀角的空间变异性。在运行若干次蒙特卡罗模拟后，获得与特定沉降值相对应的基础承载能力的平均值和变化。基础的平均承载能力随着土壤特性的随机性和空间变化的增加而降低，其定义为水平和垂直方向的变异系数值较高和相关长度值较低。发现土壤剪胀的影响对于较高的土壤摩擦角值是显着的。除了上述参数外，还研究了基脚后退距离、地下水位位置和土工格室床垫的抗弯刚度对基脚载荷沉降响应的影响。最后，从基础失效概率的角度解释了进行概率分析的重要性，该概率是针对少数安全设计因素计算的。由水平和垂直方向的变异系数的较高值和相关长度的较低值定义。发现土壤剪胀的影响对于较高的土壤摩擦角值是显着的。除了上述参数外，还研究了基脚后退距离、地下水位位置和土工格室床垫的抗弯刚度对基脚载荷沉降响应的影响。最后，从基础失效概率的角度解释了进行概率分析的重要性，该概率是针对少数安全设计因素计算的。由水平和垂直方向的变异系数的较高值和相关长度的较低值定义。发现土壤剪胀的影响对于较高的土壤摩擦角值是显着的。除了上述参数外，还研究了基脚后退距离、地下水位位置和土工格室床垫的抗弯刚度对基脚载荷沉降响应的影响。最后，从基础失效概率的角度解释了进行概率分析的重要性，该概率是针对少数安全设计因素计算的。除了上述参数外，还研究了基脚后退距离、地下水位位置和土工格室床垫的抗弯刚度对基脚载荷沉降响应的影响。最后，从基础失效概率的角度解释了进行概率分析的重要性，该概率是针对少数安全设计因素计算的。除了上述参数外，还研究了基脚后退距离、地下水位位置和土工格室床垫的抗弯刚度对基脚载荷沉降响应的影响。最后，从基础失效概率的角度解释了进行概率分析的重要性，该概率是针对少数安全设计因素计算的。