基于不连续布局优化的岩土体稳定性分析方法研究  

STUDY ON THE STABILITY ANALYSIS METHOD OF ROCK AND SOIL MASS BASED ON THE DISCONTINUITY LAYOUT OPTIMIZATION

作　　者：欧阳鹏昊 李子曦 徐文杰[1] OUYANG Penghao;LI Zixi;XU Wenjie(State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学,水圈科学与水利工程全国重点实验室,北京100084

出　　处：《工程地质学报》2025年第1期397-405,共9页Journal of Engineering Geology

基　　金：国家自然科学基金面上项目(资助号:41941019,52079067).

摘　　要：边坡、地基的稳定分析是岩土工程领域的重要内容之一。极限平衡法(LEM)是常用的一类岩土工程稳定性分析方法,但其在滑动面形态、块体间相互作用力等方面需要进行大量的假定和简化。不连续布局优化(DLO)法是近几年来逐渐发展起来的一种岩土体稳定性分析方法,由于其不受滑动面形态等的限制,在一定程度上可以克服了极限平衡法的不足。本文采用Davis提出的Mohr-Coulomb非关联流动法则修正系数对DLO法所采用的土体强度参数进行修正,分析了DLO法中土体强度参数c与φ对滑动面位置及形状的影响,并以此为基础,发展并研发了用于岩土体稳定性分析的算法,并采用系列经典算例对DLO法和LEM法在岩土体稳定性分析方法进行了系统的对比分析,结果表明采用Mohr-Coulomb非关联流动法则进行修正的DLO法得到的稳定系数和滑动面形态与LEM法较为接近。相比于LEM,DLO法不受滑动面形态假定的限制,可以基于非线性规划得到最优的潜在滑动面位置,以及不稳定条块的破裂模式,从而为边坡加固提供依据。The stability analysis of slope and foundation is one of the important contents in geotechnical engineering.The limit equilibrium method(LEM)is a common type of geotechnical engineering stability analysis method.However,it requires numerous assumptions and simplifications in the shape of the sliding surface and the forces acting on the slices.The discontinuity layout optimization(DLO)method is a soil stability analysis method that has gradually been developed in recent years.Based on the method of linear optimization of force and deformation,DLO can achieve results with arbitrary shapes of sliding surfaces,which can overcome some of the disadvantages of the limit equilibrium method.This paper uses the Mohr-Coulomb non-associative flow rule correction coefficient proposed by Davis to correct the soil strength parameters adopted by the DLO method and analyzes the influence of the soil strength parameters c and φ on the position and shape of the sliding surface.On this basis,the paper develops computational procedures for rock-soil stability analysis and uses a series of examples with the DLO method and the LEM method to carry out comparative analysis.The results show that the stability coefficient and sliding surface morphology obtained by the DLO method of Mohr-Coulomb are close to those from the LEM method.Compared with the LEM,the DLO method is not limited by the assumptions regarding sliding surface morphology and can obtain the optimal potential sliding surface position and the rupture pattern of the unstable strip block based on nonlinear programming,thereby providing the basis for slope reinforcement.

关 键 词：不连续布局优化法 稳定性分析 滑动面 边坡稳定 极限平衡法 

分 类 号：TU43[建筑科学—岩土工程]