基于矢量和法的边坡三维极限平衡稳定分析法及应用
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摘要
本文详细总结了2001年以来国内外最新的三维边坡极限平衡法的理论,针对这些方法存在的一些不足(如考虑平衡条件不足,滑面几何性质过于简化处理等),开展了以下几个方面的研究:
(1)利用三个侧向剪力系数及侧向剪力分布函数,提出了满足条柱三个轴向力平衡、三个滑坡体整体力矩平衡的三维通用极限平衡分析方法。将该法与矢量和法定义的安全系数相结合,通过对侧向剪力分布函数以及侧向剪力系数的分析和简化,提出适合工程计算的简化Janbu-矢量和法。
(2)将二维稳定分析结果扩展至三维稳定分析,提出了确定三维稳定分析初始滑裂面的二维滑面扩展法。改进了蒙特卡洛随机跳跃法,提高了三维最危险滑裂面的搜索效率。
(3)为提高计算精度,提出采用最小二乘法模拟底滑面、采用内外安全系数确定滑坡体安全系数的方法。
(4)采用二维强度折减法、简化Janbu-矢量和法对浙江浙能LNG电厂地基稳定性进行了全面分析,获得了对工程设计和施工具有参考价值的结论。
The limit equilibrium theories for three dimensional (3D) slope stability analysis since 2001 was summarized in detail. According to the deficiencies of these methods (lack of equilibriums and excess simplification of geometic model of slope, etc.), some research were studied as following:
(1) The concept of three lateral shear factors and three lateral shear distribution functions were presented to propose a a new general 3D slope limit equilibrium method, which fully made use of the three-axials force balances of each column and the three-axials total moment equilibriums. Combining with the definition of safety factor of Vector Sum Method, through the analysis and simplification of distribution functions and lateral shear factors, the Simplified Janbu-Vector Sum Analysis Method (J-V) was proposed for the application for engineering
(2) The Expansion of Two Dimensional Slip Method (ETDS) was presented to search for the initial critical surface, utilizing the results of two-dimensional analysis extent to the 3D analysis. A simplified Three-Dimensional Monte Carlo random Approach (3 DMCA) was developed to increase efficiency of searching for the initial critical surface.
(3) The Least Square Method simulating the sliding surface and the "in" and "out" safety factor concept were adopted to improve the accucy of calculation.
(4) Two-dimensional strength reduction method and J-V analysis were applied for the comprehensive stability analysis of the LNG power plant. Some useful advices were provided for the design and construction.
(1)利用三个侧向剪力系数及侧向剪力分布函数,提出了满足条柱三个轴向力平衡、三个滑坡体整体力矩平衡的三维通用极限平衡分析方法。将该法与矢量和法定义的安全系数相结合,通过对侧向剪力分布函数以及侧向剪力系数的分析和简化,提出适合工程计算的简化Janbu-矢量和法。
(2)将二维稳定分析结果扩展至三维稳定分析,提出了确定三维稳定分析初始滑裂面的二维滑面扩展法。改进了蒙特卡洛随机跳跃法,提高了三维最危险滑裂面的搜索效率。
(3)为提高计算精度,提出采用最小二乘法模拟底滑面、采用内外安全系数确定滑坡体安全系数的方法。
(4)采用二维强度折减法、简化Janbu-矢量和法对浙江浙能LNG电厂地基稳定性进行了全面分析,获得了对工程设计和施工具有参考价值的结论。
The limit equilibrium theories for three dimensional (3D) slope stability analysis since 2001 was summarized in detail. According to the deficiencies of these methods (lack of equilibriums and excess simplification of geometic model of slope, etc.), some research were studied as following:
(1) The concept of three lateral shear factors and three lateral shear distribution functions were presented to propose a a new general 3D slope limit equilibrium method, which fully made use of the three-axials force balances of each column and the three-axials total moment equilibriums. Combining with the definition of safety factor of Vector Sum Method, through the analysis and simplification of distribution functions and lateral shear factors, the Simplified Janbu-Vector Sum Analysis Method (J-V) was proposed for the application for engineering
(2) The Expansion of Two Dimensional Slip Method (ETDS) was presented to search for the initial critical surface, utilizing the results of two-dimensional analysis extent to the 3D analysis. A simplified Three-Dimensional Monte Carlo random Approach (3 DMCA) was developed to increase efficiency of searching for the initial critical surface.
(3) The Least Square Method simulating the sliding surface and the "in" and "out" safety factor concept were adopted to improve the accucy of calculation.
(4) Two-dimensional strength reduction method and J-V analysis were applied for the comprehensive stability analysis of the LNG power plant. Some useful advices were provided for the design and construction.
引文
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