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基于FELA的随机场方法在考虑降雨入渗的边坡开挖稳定性分析中的应用

吴志轩 杨军 邱天琦 沈兆普 梁宇钒

吴志轩, 杨军, 邱天琦, 等, 2018. 基于FELA的随机场方法在考虑降雨入渗的边坡开挖稳定性分析中的应用. 地质力学学报, 24 (6): 813-821. DOI: 10.12090/j.issn.1006-6616.2018.24.06.084
引用本文: 吴志轩, 杨军, 邱天琦, 等, 2018. 基于FELA的随机场方法在考虑降雨入渗的边坡开挖稳定性分析中的应用. 地质力学学报, 24 (6): 813-821. DOI: 10.12090/j.issn.1006-6616.2018.24.06.084
WU Zhixuan, YANG Jun, QIU Tianqi, et al., 2018. APPLICATION OF THE RANDOM FIELD METHOD BASED ON FELA IN THE ANALYSIS OF SLOPE EXCAVATION STABILITY CONSIDERING RAINFALL INFILTRATION. Journal of Geomechanics, 24 (6): 813-821. DOI: 10.12090/j.issn.1006-6616.2018.24.06.084
Citation: WU Zhixuan, YANG Jun, QIU Tianqi, et al., 2018. APPLICATION OF THE RANDOM FIELD METHOD BASED ON FELA IN THE ANALYSIS OF SLOPE EXCAVATION STABILITY CONSIDERING RAINFALL INFILTRATION. Journal of Geomechanics, 24 (6): 813-821. DOI: 10.12090/j.issn.1006-6616.2018.24.06.084

基于FELA的随机场方法在考虑降雨入渗的边坡开挖稳定性分析中的应用

doi: 10.12090/j.issn.1006-6616.2018.24.06.084
基金项目: 

国家重点基础研究发展计划 2014CB047003

中国路桥科研项目 2015C008

详细信息
    作者简介:

    吴志轩(1992-), 男, 在读硕士, 从事岩土工程领域特别是岩土材料空间变异性的研究。E-mail:wuzhixuan777@126.com

    通讯作者:

    杨军(1974-), 男, 博士, 副研究员, 博导, 从事岩土工程、地下工程等领域的教学与科研工作。E-mail:junyang@tsinghua.edu.cn

  • 中图分类号: P642.3

APPLICATION OF THE RANDOM FIELD METHOD BASED ON FELA IN THE ANALYSIS OF SLOPE EXCAVATION STABILITY CONSIDERING RAINFALL INFILTRATION

  • 摘要: 黑山共和国南北高速公路项目部分路段处于复理石地区,降雨集中、空间变异性显著且分层分布的岩土体给道路边坡施工带来了挑战。条分法、常规有限元法等确定性分析方法不能考虑岩土材料的不确定性,给出的具有唯一性、确定性的结果不能反映边坡稳定的不确定性。以该工程某边坡为例,采用有限元极限分析方法(FELA),考虑岩土材料强度的空间变异性,利用上下限解法得出安全系数的分布区间。由勘察资料得到材料均值、标准差和空间相关长度并重建描述抗剪强度指标的二维随机场,同时考虑开挖岩层的节理分布,分析边坡在分级开挖过程中,各施工步骤的稳定性和破坏模式。与有限元分析结果相比,随机场条件下,部分情况开挖阶段安全系数低于限值,并出现局部破坏和整体破坏两种形式。结合不饱和土理论,模拟暴雨情况下雨水的入渗深度并在饱和区采用降低后的强度参数重新计算。通过蒙特卡洛模拟,得到各工况下安全系数、滑动体体积、挡墙弯矩和锚杆内力的概率密度分布函数。挡墙结构约束土体的变形,使得破坏模式趋向于整体破坏,安全系数分布区间变小。锚杆能带动更多土体进入工作状态,同样约束安全系数分布区间。旱季施工与雨季施工边坡破坏区域不同,同等支护条件下,雨季边坡安全系数分布区间更大,且均值明显降低。

     

  • 图  1  RK25+540剖面地质勘察结果

    Figure  1.  Geological survey results of the RK25+540 profile

    图  2  Exc-6有限元极限分析模型

    Figure  2.  Finite element limit analysis model of Exc-6

    图  3  开挖模型随机场分布

    Figure  3.  Random field distribution of the excavated model

    图  4  模拟结果的概率密度曲线及统计指标

    Figure  4.  Probability density curves and statistical indexes of the simulation results

    图  5  开挖模型滑动破坏模式

    Figure  5.  Failure modes of the excavated model

    图  6  降雨入渗和滑动破坏情况

    Figure  6.  Rainfall infiltration and sliding failure

    图  7  降雨前后的概率密度曲线及统计指标

    Figure  7.  Probability density curves and statistical indexes before and after the rain

    表  1  旱季(雨季)情况模拟参数

    Table  1.   Simulated parameters for dry season and rainy season (data in bracket)

    材料名称 容重γ/(kN/m3) 刚度参数 节理方向α/(°) 强度参数
    模量E/MPa 泊松比/υ 黏聚力c/kPa 内摩擦角φ/(°) Cov/% Clx/m Cly/m
    风化表土 20(21) 15 0.3 13(4) 30(24) 10 20 1
    复理石 22(24) 750 0.32 35(25) 42(30)
    复理石(薄弱面) 21(22) 100 0.3 45°顺坡 5(4) 30(24) 20 20 1
    基岩 23(24) 1600 0.3 110 54
    下载: 导出CSV

    表  2  支护结构物模拟参数

    Table  2.   Simulated parameters for the support structure

    材料名称 材料模型 EA/kN 极限力Fy/kN 间距d/m 模量E/MPa 锚固面积A/(cm2/m) 屈服应力σ0/MPa 极限弯矩My/(kN·m) 泊松比v 重度γkN/m3 分布质量w/(kg/m/m)
    锚杆锚固段 Geogrid 195000 200 500
    锚杆自由段 Connector 420000 3000 2.5
    喷混挡墙 Plate 315000/m 5000/m 800 0.25
    重力式挡墙 LinerElastic 31500 0.15 24
    下载: 导出CSV

    表  3  Van Genuchten-Mualem模型模拟参数

    Table  3.   Simulated parameters for the Van Genuchten-Mualem model

    参数名 饱和含水率θs 残余含水率θr 形状参数α 形状参数n L 水平饱和渗透系数Kh/(m/s) 竖向饱和渗透系数Kv/(m/s)
    取值 0.41 0.065 2 1.41 0.5 0.01 0.001
    下载: 导出CSV
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  • 收稿日期:  2018-04-28
  • 修回日期:  2018-10-09
  • 刊出日期:  2018-12-01

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