异形椭球滑面构建及边坡三维稳定性分析  

Construction of irregular ellipsoid sliding surfaces and three-dimensional stability analysis of slopes

作　　者：陈应显[1] 富颉鹏 陈健 马慧茹 朱喆 CHEN Yingxian;FU Jiepeng;CHEN Jian;MA Huiru;ZHU Zhe(College of Mines,Liaoning Technical University,Fuxin 123000,Liaoning,China;CCCC Second Highway Consultants Co.,Ltd.,Wuhan 430056,China)

机构地区：[1]辽宁工程技术大学矿业学院,辽宁阜新123000 [2]中交第二公路勘察设计研究院有限公司,武汉430056

出　　处：《安全与环境学报》2024年第11期4214-4221,共8页Journal of Safety and Environment

基　　金：国家自然科学基金项目(52374123)。

摘　　要：边坡临界滑动面的确定是边坡稳定性分析中的关键问题之一。现实中边坡所处环境往往十分复杂且形状各异,而传统的滑动面模型难以全面适应这些复杂条件。因此,提出了一种基于异形椭球面作为滑动面的三维稳定性分析方法。首先,构建异形椭球方程,并通过空间几何变换生成由半长轴a等六个参数控制的异形椭球。利用异形椭球在短轴上的不对称性,生成Ⅰ型和Ⅱ型两种异形椭球滑面,使用插值方法将两种滑面应用于三维边坡,形成异形椭球滑动面。接着,采用剩余推力法和遗传算法计算边坡稳定性系数,并搜索临界滑动面。通过经典算例进行验证,对比分析了标准椭球滑面与异形椭球滑面的稳定性。结果表明,Ⅰ型和Ⅱ型异形椭球滑面的边坡安全系数分别为2.266和1.994,相较于标准椭球滑面,异形椭球滑面在搜索过程中显示出更快的速度和更稳定的最小安全系数收敛,更适用于复杂边坡。最后,将Ⅱ型异形椭球滑面在工程实例中应用,计算结果与实际情况相符,验证了该方法的可行性。In slope stability analysis,identifying the critical sliding surface is a crucial challenge,particularly in complex and variably shaped slope engineering environments.Traditional sliding surface models often struggle to effectively accommodate these intricate conditions.Therefore,this study proposes a novel method for three-dimensional stability analysis that employs an irregular ellipsoidal surface as the sliding surface.First,based on the general formula of an irregular ellipsoid,a six-parameter irregular ellipsoid is constructed using geometric transformations in three-dimensional space.These parameters include the semi-major axis,semi-minor axis,semi-height,rotation angle,and spatial displacements in the x and z directions.Based on this,two types of irregular ellipsoid sliding surfaces were generated by leveraging the asymmetry of the ellipsoid along its short axis:TypeⅠ,characterized by a larger upper portion and a smaller lower portion,and TypeⅡ,defined by a smaller upper portion and a larger lower portion.Subsequently,these two types of sliding surfaces are integrated into a three-dimensional slope model using interpolation methods,resulting in the formation of irregular ellipsoid sliding surfaces.The residual thrust method and a genetic algorithm are then employed to calculate the slope stability factor and identify the critical sliding surface.By validating classic examples,a comparative analysis was conducted on the stability of standard ellipsoid sliding surfaces versus irregular ellipsoid sliding surfaces.The calculation results revealed that the stability coefficients for the standard ellipsoid,TypeⅠirregular ellipsoid,and TypeⅡirregular ellipsoid sliding surfaces were 2.070,2.266,and 1.994,respectively.The stability coefficient of the TypeⅡirregular ellipsoid sliding surface was slightly lower than that of the standard ellipsoid,suggesting a potentially higher risk of instability under identical conditions.Compared to standard ellipsoid sliding surfaces,irregular ellipsoid sliding surfaces

关 键 词：安全工程 异形椭球滑动面 剩余推力法 临界滑面搜索 边坡稳定性分析 

分 类 号：X936[环境科学与工程—安全科学]