基于实测强度参数分布特征的路基非均质填土边坡可靠性分析

Reliability analysis of slopes that considers the spatial variability of soil properties is an important problem in the fields of road and geotechnical engineering. The difficulties lie in the evaluation of safety factor of a heterogeneous soil slope, as well as a rational expression of implicit function of safety factor that can be easily incorporated into engineering practice. In this proposed study, the random field of a multi-layer embankment slope will be firstly generated based on the in-situ soil samples. Then, procedures will be developed to calculate the factor of safety based on different limit equilibrium methods, such as the Simplified Bishop Method, Morgenstern-Price Method and Spencer Method. Both the circular slip surface and the n-segment slip surface will be considered. In parallel, the simulated random field will be mapped, using Python program, directly onto the slope section cells in pre-processing module CAE of ABAQUS. The factor of safety can also be obtained using the strength reduction method in ABAQUS. The adaptability is evaluated in different condition for both the limit equilibrium method and finite element method. Finally, the Kriging model will be utilized to optimize the implicit function of safety factor, which aims to assess the reliability of embankment slope.

进行土体参数空间变异条件下的边坡可靠度分析是目前道路工程和岩土工程学界的热点主题之一。其难点就在于非均质边坡安全系数求解以及安全系数隐式功能函数的合理化表达问题。基于实测土体强度参数分布特征，本课题首先采用Matlab程序进行多层填土路基边坡强度参数的空间随机场生成。然后，基于Fortran程序进行圆弧/多段折线滑面的多种(简化Bishop、Morgenstern-Price、Spencer法)极限平衡法开发，以及基于Python程序进行ABAQUS前处理CAE界面网格随机场赋值的有限元强度折减法二次开发，进行边坡的安全系数计算，并比较极限平衡法和有限元法对不同工况的适应性。最后，采用Kriging模型进行边坡安全系数隐式功能函数最优化表达，评价路基边坡的可靠度。

进行土体参数空间变异条件下的边坡可靠度分析是目前道路工程和岩土工程学界的热点主题之一。其难点就在于非均质边坡安全系数求解以及安全系数隐式功能函数的合理化表达问题。基于实测土体强度参数分布特征，本课题首先采用Matlab程序进行多层填土路基边坡强度参数的空间高斯随机场生成。然后，基于Fortran程序进行圆弧/多段折线滑面的多种(简化Bishop、Morgenstern-Price、Spencer法)极限平衡法开发，进行边坡的安全系数计算; 采用模拟退火算法解决了多段折线滑面求解土体参数空间变异边坡的全域求解过程中的极值问题。同时，基于现场实测土体压实度和含水率，采用Kriging方法进行了土体参数分层变异性的模拟，然后进行了土体参数空间变异性边坡安全系数的Geoslope二次开发求解。最后，采用Kriging模型进行边坡安全系数隐式功能函数最优化表达，评价路基边坡的可靠度。

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