广义对数螺旋型滑面模型的构建与验证  

Structure and validation of an generalized logarithmic spiral slip surface model

作　　者：李亮[1] 李媛媛 邓东平[1] LI Liang;LI Yuanyuan;DENG Dongping(School of Civil Engineering,Central South University,Changsha 410075,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2024年第1期171-182,共12页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(51608541);湖南省自然科学基金资助项目(2019JJ50772)。

摘　　要：临界滑动面的合理确定是边坡稳定性分析的关键问题之一。传统的边坡滑动面假设方法构造生成的潜在滑动面形式单一,且无法考虑复杂边坡中土层强度参数变化对临界滑动面形状的影响,从而降低了边坡稳定性分析结果的可靠性。基于此,提出一种新的广义对数螺旋型滑面模型,该模型可生成包含传统圆弧滑动面和对数螺旋滑动面在内的多种形式的潜在滑动面;并针对非均质边坡中各土层抗剪强度不同的特点,采用多中心分段构造策略,将该滑面模型应用于非均质边坡稳定性分析中。基于极限平衡理论计算滑动面安全系数并搜索临界滑动面,对边坡进行稳定性评估。选取多个均质边坡及多种型式的非均质边坡(水平分层、倾斜分层和斜折线分层)经典算例与现有研究成果以及数值模拟软件获得的结果进行对比分析,验证该滑面模型的合理性与优势性。研究结果表明:文中方法计算所得安全系数与其他方法相比更小,相对误差在5%以内。能够得到传统滑动面假设方法下难以搜索到的临界滑动面,并与数值模拟结果吻合度较好,稳定性分析结果更接近实际情况。由此说明,此方法用于均质边坡及非均质边坡稳定性分析是合理可行的,有望为工程实践提供更优的临界滑动面解决方案。The reasonable determination of the critical slip surface is one of the key issues in slope stability analysis,but the potential slip surface form generated by the traditional slip surface assumption method is monotonous and cannot consider the influence of the parameter variation between different soil layers on the shape of the slip surface in complex slopes,which reduces the reliability of slope stability analysis results.Therefore,a new generalized logarithmic spiral slip surface model was proposed in this paper,which could generate various forms of potential slip surfaces including traditional circular slip surfaces and logarithmic spiral slip surface.The model was applied to heterogeneous slope stability analysis by adopting a multi-center segmental construction strategy for different shear strengths of each soil layer of heterogeneous slopes.Based on the limit equilibrium theory,the factor of safety(FOS)of the slip surface was calculated and the critical slip surface was searched to evaluate the stability of the slope.Several homogeneous slopes and various types of heterogeneous slopes(horizontally stratified,inclined stratified and diagonally folded stratified)were selected for comparison and analysis with the results obtained from existing research results and numerical simulation software to verify the rationality and advantages of the slip surface model.The results show that the FOS calculated by this method in this paper are smaller than the previous research results,and it can obtain the slip surface which is difficult to be found by the traditional method,and the relative error is within 5%.It can get the critical slip surface which is difficult to search under the traditional slip surface assumption method,and it is in good agreement with the numerical simulation results,and the stability analysis results are closer to the actual situation.This shows that this method is reasonable and feasible for stability analysis of homogeneous slopes and heterogeneous slopes,and it is expected to provide better

关 键 词：边坡稳定性分析 滑面模型 广义对数螺旋滑面 极限平衡法 临界滑动面 

分 类 号：TU43[建筑科学—岩土工程]