岩土力学 ›› 2024, Vol. 45 ›› Issue (1): 313-324.doi: 10.16285/j.rsm.2023.0117

• 数值分析 • 上一篇    

耦合渗流-变形的数值流形法裂隙岩质边坡稳定性分析

屈小磊1, 2,张云开2, 3,陈悠然2,陈悠扬2,戚承志1, 2   

  1. 1. 北京建筑大学 北京市节能减排关键技术协同创新中心,北京 100044;2. 北京建筑大学 土木与交通工程学院,北京 100044; 3. 伦敦大学学院 土木、环境和测绘工程系,英国 伦敦
  • 收稿日期:2023-02-05 接受日期:2023-03-28 出版日期:2024-01-10 发布日期:2024-01-17
  • 作者简介:屈小磊,男,1981年生,博士,副教授,硕士生导师,主要从事计算岩石力学方面的研究和试验工作。
  • 基金资助:
    This work was supported by the National Program on Key Basic Research Project of China (973 Program) (2015CB0578005), the National Natural Science Foundation of China (51174012) and the National Natural Science Foundation for Young Scientists of China (51608461).

Stability analysis of fractured rock slope based on seepage-deformation coupling model using numerical manifold method

QU Xiao-lei1, 2, ZHANG Yun-kai2, 3, CHEN You-ran2, CHEN You-yang2, QI Cheng-zhi1,2   

  1. 1. Key Technology Reduction Collaborative Innovation Center for Beijing Energy Conservation and Emission, Beijing University of Civil Engineering and Architecture,Beijing 100044,China; 2. School of Civil and Transport Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China; 3. Department of Civil, Environmental and Geomatic Engineering, University College London, UK
  • Received:2023-02-05 Accepted:2023-03-28 Online:2024-01-10 Published:2024-01-17

摘要: 岩石裂隙渗流问题作为影响岩石边坡失稳的重要因素吸引了越来越多研究者采用不同的数值方法模拟其力学行为。提出了一种基于渗流-变形耦合模型的数值流形方法,并相应地讨论了岩体裂隙网络中地下水的流动、渗透压力和岩石变形的耦合效应。基于最小能量原理,分别推导渗流条件下单元边界流体压力和系统的整体平衡方程,以及块体接触算法求解任意岩石裂缝的局部安全系数。通过一系列验证实例对所提出的数模模型进行检验,验证了该数值模型的鲁棒性和有效性。利用该方法模拟了一个岩石边坡由于渗流作用而发生的坍塌事故,再现了岩石边坡的破坏过程。模拟结果表明,过大的水力压力导致垂直裂缝张开,增加岩体变形量,最终导致边坡破坏。研究表明,该方法在模拟大规模工程问题方面具有很大的潜力。

关键词: 数值流形法, 裂隙渗流, 岩石边坡稳定, 渗流-变形耦合

Abstract: Seepage in rock fractures as an important factor affecting the rock slope instability attracts more and more researchers, who have adopted various numerical methods to simulate the mechanical behaviors of slope. In present study, a coupled seepage- deformation model based numerical manifold method (NMM) is proposed, in which the fluid flow of groundwater in fracture network, the coupling effect of seepage pressure and rock deformation are discussed. A global equilibrium equation of system and a local factor of safety of arbitrary rock fractures are derived based on the principle of minimum energy and block contact algorithm, respectively. A two-dimensional flow problem in a homogeneous aquifer and fracture seepage analysis of fluid through regular fracture networks are validated and the simulation results show the robustness and effectiveness of the proposed numerical model. Finally, a collapse accident of rock slope due to seepage effect is simulated by the proposed method and the failure process of the slope is also reproduced. The simulation results show that the excessive hydraulic pressure causes the opening of vertical fractures and augments rock mass deformation, eventually leading to the failure of the slope. It can be found that the proposed method possesses more potential to simulate larger-scale engineering problems.

Key words: numerical manifold method, fracture seepage, rock slope stability, seepage-deformation coupling

中图分类号: 

  • 国家重大基础研究项目(973计划)(No. 2015CB0578005)
[1] 杨石扣, 任旭华, 张继勋, 艾华东, . 三维数值流形法覆盖系统生成算法研究[J]. 岩土力学, 2022, 43(S1): 633-640.
[2] 王秋生, 张瑞涛, 郑 宏. Malvern Hills边坡溃曲破坏分析及数值流形法模拟[J]. 岩土力学, 2022, 43(7): 1951-1960.
[3] 杨亮, 杨永涛, 郑宏, . 相场数值流形法模拟岩石裂纹扩展[J]. 岩土力学, 2021, 42(12): 3419-3427.
[4] 聂治豹, 郑宏, 万涛, 林姗. 弹性静力学问题的边界积分形式的数值流形法[J]. 岩土力学, 2020, 41(4): 1429-1436.
[5] 王明玉, 刘庆哲, 曲辞晓, 李金柱, . 基于圆盘裂隙物理模型的岩体单一 裂隙渗流规律试验研究[J]. 岩土力学, 2020, 41(11): 3523-3530.
[6] 杨石扣, 张继勋, 任旭华, . 基于改进数值流形法的接触裂纹问题研究[J]. 岩土力学, 2019, 40(5): 2016-2021.
[7] 杨石扣,张继勋,任旭华,. 基于数值流形法的三维裂纹扩展研究[J]. , 2018, 39(S1): 488-494.
[8] 杨石扣,任旭华,张继勋,. 基于数值流形法的重力坝水力劈裂研究[J]. , 2018, 39(8): 3055-3060.
[9] 黄诗冰,刘泉声,程爱平,刘艳章, . 低温裂隙岩体水-热耦合模型研究及数值分析[J]. , 2018, 39(2): 735-744.
[10] 杨石扣,任旭华,张继勋,. 改进的数值流形法在水力劈裂中的应用[J]. , 2018, 39(10): 3875-3881.
[11] 陈 立,张 朋,郑 宏,. 土石混合体二维细观结构模型的建立与数值流形法模拟[J]. , 2017, 38(8): 2402-2410.
[12] 严成增. 模拟水压致裂的另一种二维FDEM-flow方法[J]. , 2017, 38(6): 1789-1796.
[13] 刘治军,郑 宏,董 苇,葛修润,孙冠华,. 基于加密物理片的数值流形法中局部网格加密[J]. , 2017, 38(4): 1211-1217.
[14] 熊勇林,朱合华,叶冠林,叶 斌,. 降雨入渗引起非饱和土边坡破坏的水-土-气三相渗流-变形耦合有限元分析[J]. , 2017, 38(1): 284-290.
[15] 张友良,刘登学,刘高敏. 数值流形法的T样条局部加密算法[J]. , 2016, 37(8): 2404-2410.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 楚锡华,徐远杰. 基于形状改变比能对M-C准则与 D-P系列准则匹配关系的研究[J]. , 2009, 30(10): 2985 -2990 .
[2] 荣 冠,王思敬,王恩志,刘顺桂. 白鹤滩河谷演化模拟及P2β3玄武岩级别评估[J]. , 2009, 30(10): 3013 -3019 .
[3] 刘振平,贺怀建,李 强,朱发华. 基于Python的三维建模可视化系统的研究[J]. , 2009, 30(10): 3037 -3042 .
[4] 尤红兵,赵凤新,李方杰. 层状场地中局部不均体对平面P波的散射[J]. , 2009, 30(10): 3133 -3138 .
[5] 钟佳玉,郑永来,倪 寅. 波浪作用下砂质海床孔隙水压力的响应规律实验研究[J]. , 2009, 30(10): 3188 -3193 .
[6] 孙德安. 非饱和土的水力和力学特性及其弹塑性描述[J]. , 2009, 30(11): 3217 -3231 .
[7] 赵成刚,蔡国庆. 非饱和土广义有效应力原理[J]. , 2009, 30(11): 3232 -3236 .
[8] 孔位学,芮勇勤,董宝弟. 岩土材料在非关联流动法则下剪胀角选取探讨[J]. , 2009, 30(11): 3278 -3282 .
[9] 倪骁慧,朱珍德,赵 杰,李道伟,冯夏庭. 岩石破裂全程数字化细观损伤力学试验研究[J]. , 2009, 30(11): 3283 -3290 .
[10] 刘小文,常立君,胡小荣. 非饱和红土基质吸力与含水率及密度关系试验研究[J]. , 2009, 30(11): 3302 -3306 .