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耦合确定性与随机结构面的岩质边坡概率稳定性分析

常志璐 余琦 钟敏 蒋水华 向晖 关宏涛 孟京京 黄发明

常志璐,余琦,钟敏,等. 耦合确定性与随机结构面的岩质边坡概率稳定性分析[J]. 地质科技通报,2025,44(2):1-12 doi: 10.19509/j.cnki.dzkq.tb20240388
引用本文: 常志璐,余琦,钟敏,等. 耦合确定性与随机结构面的岩质边坡概率稳定性分析[J]. 地质科技通报,2025,44(2):1-12 doi: 10.19509/j.cnki.dzkq.tb20240388
CHANG Zhilu,YU Qi,ZHONG Min,et al. Probabilistic stability analysis of rock slopes with coupled determining and random discontinuities[J]. Bulletin of Geological Science and Technology,2025,44(2):1-12 doi: 10.19509/j.cnki.dzkq.tb20240388
Citation: CHANG Zhilu,YU Qi,ZHONG Min,et al. Probabilistic stability analysis of rock slopes with coupled determining and random discontinuities[J]. Bulletin of Geological Science and Technology,2025,44(2):1-12 doi: 10.19509/j.cnki.dzkq.tb20240388

耦合确定性与随机结构面的岩质边坡概率稳定性分析

doi: 10.19509/j.cnki.dzkq.tb20240388
基金项目: 国家自然科学基金项目(52222905, 42407241);江西省自然科学基金资助项目(20242ACB221001, 20232ACB204031, 20224ACB204019, 20242BAB20241);江西省水利科技计划资助项目(202325ZDKT07, 202426ZDKT12)
详细信息
    作者简介:

    常志璐:E-mail:zhiluchang@ncu.edu.cn

    通讯作者:

    E-mail:sjiangaa@ncu.edu.cn

Probabilistic stability analysis of rock slopes with coupled determining and random discontinuities

More Information
  • 摘要:

    岩质边坡广泛发育确定性结构面和随机结构面,使得岩体具有不连续性和非均质性特征,直接影响边坡的稳定性、变形特征和破坏模式。然而,目前研究较少同时考虑确定性结构面和随机结构面网络对岩质边坡概率稳定性分析和破坏机制的影响。采用离散元方法和结构面网络模拟技术,构建了边坡确定性结构面和随机结构面耦合分析模型,并基于此提出了边坡概率稳定性分析方法,最后以简化岩质边坡模型和锦屏一级水电站左岸坝肩边坡(天然和开挖工况)为例,验证了该方法的有效性。结果表明:(1)提出的方法不仅可以准确模拟确定性结构面与随机结构面网络,而且实现了结构面网络与边坡模型耦合建模;(2)同时考虑确定性结构面和随机结构面边坡概率稳定性分析方法可以获得边坡稳定系数概率分布图,计算结果更全面并符合工程实际;(3)随机结构面网络在开挖边坡工况下对边坡稳定性影响更显著,并且控制边坡的失稳路径和和破坏机制。研究成果可为制定岩质边坡开挖和支护方案提供参考,同时为地质灾害防治提供理论依据。

     

  • 图 1  确定性与随机结构面网络耦合建模框架

    Figure 1.  Coupling modelling framework for determining random discontinuity networks

    图 2  裂隙边坡生成示意图

    Figure 2.  Diagram of fracture slope formation

    图 3  块体单元间相互作用力示意图

    Fn. 不同块体间相互作用力的法向分力;Un. 块体间法向位移;Fs. 不同块体间相互作用力的切向分力;∆Fs. Fs的增量,表示剪力;∆Us. Us的增量,表示两离散单元间的相对位移

    Figure 3.  Diagram of the interaction forces between block elements

    图 4  岩质边坡简化模型

    Figure 4.  Simplified model of a rock slope

    图 5  3DEC生成的2种边坡模型图

    Figure 5.  Slope model diagrams generated via 3DEC

    图 6  考虑DFN的100组边坡稳定系数概率分布图

    Figure 6.  Probability distributions of 100 groups of slope stability coefficients considering the DFN

    图 7  1-Ⅱ1工程地质剖面图及开挖前实物图

    Figure 7.  Engineering geological profile of section Ⅱ1-Ⅱ1 and a photograph of the physical slope

    图 8  天然边坡(a)和开挖后边坡(b)计算模型

    Figure 8.  Calculation model diagram of the natural slope (a) and excavation slope (b)

    图 9  考虑确定性结构面天然(a)和开挖(b)边坡位移云图

    Figure 9.  Displacement cloud maps of natural and excavation slope considering determining discontinuities

    图 10  考虑DFN100组天然(a)和开挖(b)边坡稳定系数分布图

    Figure 10.  Probability distributions of 100 groups of natural (a) and excavation (b) slope stability coefficients considering the DFN

    图 11  考虑DFN模型的天然(a)和开挖(b)边坡位移云图

    Figure 11.  Displacement cloud maps of natural (a) and excavated (b) slopes considering the DFN model

    表  1  结构面分级

    Table  1.   Classification of discontinuities

    结构面
    级别
    特性
    代表性结构面 发育情况 影响作用
    Ⅰ级 深大断裂带 延伸数十公里、至少切穿一个构造层、
    宽度在数米以上
    控制区域岩体稳定性
    Ⅱ级 不整合面、原生软弱夹层、断层等 延伸数百米以上、宽度不超过3~5 m 组合控制岩体稳定性
    Ⅲ级 断层、风化夹层、破碎带、层间错动等 延伸数百米范围、宽度约1 m 控制块体滑移机理
    Ⅳ级 节理、层面、片理面等 延伸数米范围,不超过20~30 m、无明显宽度 影响岩体破坏方式、力学性质和应力分布情况
    Ⅴ级 微小节理等 延展性极差、无厚度差别 影响岩块的强度和破坏方式
    下载: 导出CSV

    表  2  DFN template参数及分布设置

    Table  2.   Parameters and distribution of the DFN template

    分布特征结构面参数
    产状空间位置尺寸
    高斯分布
    均匀分布
    bootstrapped
    fish自定义
    power-law / /
    fisher / /
    下载: 导出CSV

    表  3  随机结构面参数及分布特征

    Table  3.   Parameters and distribution characteristics of random discontinuities

    组别倾角/(°)迹长/m空间位置
    分布
    特征
    均值
    μ
    标准差
    σ
    分布
    特征
    均值
    μ
    标准差
    σ
    分布
    特征
    面密度
    J1对数正态80.56.32对数正态1.721.35均匀0.25
    J2正态39.18.47负指数2.481.70均匀0.25
    下载: 导出CSV

    表  4  简化岩质岩体力学参数取值

    Table  4.   Values of rock mass mechanics parameters simplified rock slope

    重度γ/
    (kN·m−3)
    体积模量
    B/GPa
    剪切模量
    G/GPa
    黏聚力
    c/kPa
    内摩擦角
    $\varphi $/(°)
    20.0 1.0 0.3 200.0 50.0
    下载: 导出CSV

    表  5  简化岩质结构面力学参数取值

    Table  5.   Values of the discontinuity mechanics parameters simplified rock slope

    法向刚度
    Kn/(GPa·m−1)
    切向刚度
    Ks/(GPa·m−1)
    黏聚力
    c/kPa
    内摩擦角$\varphi $/(°)
    DFN 20.0 2.0 15.0 29.4
    确定性结构面 10.0 1.0 5.0 35.0
    下载: 导出CSV

    表  6  锦屏一级水电站左岸边坡岩体参数取值

    Table  6.   Values of the rock mass mechanics parameters left bank shoulder slope of Jinping Ⅰ Hydropower Station

    岩体类别 弹性模量
    E/GPa
    泊松比 重度γ/
    (kN·m−3)
    黏聚力
    c/kPa
    内摩擦角
    $\varphi $/(°)
    2岩体 1.90 0.300 27 400 30.96
    1岩体 2.50 0.300 27 600 34.99
    2岩体 5.50 0.275 27 900 45.57
    1岩体 10.50 0.250 27 1500 46.94
    Ⅱ岩体 23.50 0.225 27 2000 53.47
    下载: 导出CSV

    表  7  锦屏一级水电站左岸边坡结构面参数取值

    Table  7.   Values of the discontinuity mechanics parameters left bank shoulder slope of Jinping Ⅰ Hydropower Station

    结构面 法向刚度
    Kn/(GPa·m−1)
    切向刚度
    Ks/(GPa·m−1)
    黏聚力
    c/kPa
    内摩擦角
    $\varphi $/(°)
    煌斑岩脉X 6.0 6.0 20.0 16.7
    断层f42-9 4.0 4.0 20.0 16.7
    断层f5 5.0 5.0 20.0 16.7
    断层f8 5.0 5.0 20.0 16.7
    断层f2 5.0 5.0 20.0 16.7
    下载: 导出CSV

    表  8  节理裂隙几何参数统计特征

    Table  8.   Statistical characteristics of the geometry

    组号 统计特征 均值μ 标准差σ 分布类型
    1 倾角/(°) 48.17 11.27 正态
    迹长/m 26.21 3.32 负指数
    2 倾角/(°) 61.26 8.11 对数正态
    迹长/m 2.50 0.33 正态
    3 倾角/(°) 59.05 5.99 正态
    迹长/m 2.49 0.37 正态
    4 倾角/(°) 70.01 11.30 均匀
    迹长/m 3.07 1.62 正态
    下载: 导出CSV
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  • 收稿日期:  2024-07-11
  • 录用日期:  2024-10-22
  • 修回日期:  2024-09-11
  • 网络出版日期:  2024-10-22

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