基于极限平衡法的危岩倾覆稳定性三维计算方法
Three-dimensional calculation method for stability against overturning of overhanging rock based on limit equilibrium method
彭海游 1谢强 2陈柏林 1檀康 3王琦 3杨文君4
作者信息
- 1. 重庆大学土木工程学院,重庆 400045;重庆地质矿产研究院 自然资源部地质灾害自动化监测技术创新中心,重庆 401120;重庆地质矿产研究院重庆市地质灾害自动化监测工程技术研究中心,重庆 401120
- 2. 重庆大学土木工程学院,重庆 400045
- 3. 重庆地质矿产研究院 自然资源部地质灾害自动化监测技术创新中心,重庆 401120;重庆地质矿产研究院重庆市地质灾害自动化监测工程技术研究中心,重庆 401120
- 4. 重庆地质矿产研究院 自然资源部地质灾害自动化监测技术创新中心,重庆 401120
- 折叠
摘要
目前危岩防治工作中,危岩稳定性评价主要以简化后的二维剖面作为计算模型.由于自然界中的危岩形态极不规则,采用二维剖面计算模型并不能真实反映危岩受力情况.为了研究危岩稳定性三维计算方法,在前人研究基础上,基于极限平衡理论,提出了由后缘裂缝抗拉强度控制的危岩倾覆稳定性三维计算公式,采用数值积分和空间几何方法给出了在危岩单体三维模型基础上求解危岩后缘岩体抗拉力、水压力及其力矩计算公式和实现流程.以三峡库区瞿塘峡吊嘴危岩为实例开展了应用,并通过数值分析进行了验证.通过不同形态危岩的三维稳定性分析,讨论了三维与二维稳定性计算结果的关系,对比发现危岩形态对稳定性计算结果有明显影响,三维计算较二维计算更准确和实用.
Abstract
In the field of overhanging rock prevention and control,the stability calculations have traditionally used simplified two-dimensional profiles as the calculation model.However,the irregular shape of overhanging rocks in nature cannot be accurately represented by this simplified model,leading to limitations in stress analysis.To address this,a three-dimensional calculation method for overhanging rock stability was developed based on limit equilibrium theory and previous research.The proposed method focuses on the stability against overturning of overhanging rocks controlled by the tensile strength of the trailing edge crack.A three-dimensional calculation formula was derived,taking into account the tension resistance,water pressure,and moment of the trailing edge rock.The formula was implemented using numerical integration and spatial geometry methods,providing a comprehensive approach to analyzing the stability of overhanging rock.To validate the proposed method,an application was conducted using the Diaozui overhanging rock in the Qutangxia area of the Three Gorges Reservoir.Numerical analysis was performed to verify the results.By analyzing the stability of different forms of overhanging rock in three dimensions,the relationship between the three-dimensional stability calculation results and the traditional two-dimensional stability analysis was explored.The findings revealed that the shape of overhanging rock significantly impacts the stability calculation results.It was concluded that three-dimensional calculations provide more accurate and practical results compared to the traditional two-dimensional approach.
关键词
危岩/倾覆稳定性/三维/极限平衡法Key words
overhanging rock/stability against overturning/three-dimensional/limit equilibrium method引用本文复制引用
基金项目
重庆市自然科学基金(CSTB2022NSCQ-MSX1466)
重庆市地质灾害防治中心科技项目(KJ2021050)
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据