岩土力学 ›› 2022, Vol. 43 ›› Issue (10): 2923-2932.doi: 10.16285/j.rsm.2021.2093

• 数值分析 • 上一篇    

非均质成层边坡极限承载力上限分析

屈春来1, 2，付迪1，刘世伟1, 2, 3，冷先伦3，李建贺4，孙熇远1   

  1. 1. 河北工程大学 水利水电学院，河北 邯郸 056038；2. 河北工程大学 河北省智慧水利重点实验室，河北 邯郸 056038；3. 中国科学院武汉 岩土力学研究所 岩土力学与工程国家重点实验室，湖北 武汉 430071；4. 长江勘测规划设计研究有限责任公司，湖北 武汉 430010
  • 收稿日期:2021-12-10 修回日期:2022-07-02 出版日期:2022-10-19 发布日期:2022-10-18
  • 通讯作者: 刘世伟，男，1989年生，博士，讲师，主要从事岩土多场耦合数值模拟及大变形分析方面的研究工作。E-mail: liu1989shiwei@163.com E-mail:quchunlai0215@163.com
  • 作者简介:屈春来，男，1985年生，博士，副教授，主要从事混凝土细观力学和边坡稳定性评价方面的研究工作。
  • 基金资助:
    河北省自然科学基金项目基础研究专项（No. E2020402087）；中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室开放课题（No. Z018022）；河北省高等学校科学技术研究项目（No. BJ2019023，No. QN2021030）。

Upper limit analysis for ultimate bearing capacity of heterogeneous stratified slope

QU Chun-lai1, 2, FU Di1, LIU Shi-wei1, 2, 3, LENG Xian-lun3, LI Jian-he4, SUN He-yuan1   

  1. 1. College of Water Conservancy and Hydropower, Hebei University of Engineering, Handan, Hebei 056038, China; 2. Hebei Key Laboratory of Intelligent Water Conservancy, Hebei University of Engineering, Handan, Hebei 056038, China; 3. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China; 4. Changjiang Survey Planning Design and Research Co., Ltd., Wuhan, Hubei 430010, China
  • Received:2021-12-10 Revised:2022-07-02 Online:2022-10-19 Published:2022-10-18
  • Supported by:
    This work was supported by the Special Fundamental Research Project of Hebei Natural Science Foundation (E2020402087), the Open Subject of State Key Laboratory of Geotechnical Mechanics and Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences (Z018022) and the Science and Technology Project of Hebei Education Department (BJ2019023, QN2021030).

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摘要： 极限承载力一直是采矿、岩土等领域关注的难点和热点问题，严重影响着边坡与邻坡建（构）筑物的安全稳定性。基于极限分析上限定理，考虑边坡滑动溢出位置不确定性影响，建立3种模式的非均质成层边坡刚性多滑块破坏机制，推导出边坡极限承载力上限解，并采用序列二次规划算法（SQP）求其最优值。以三岔露天矿北帮为工程背景，通过与数值计算结果对比分析，验证本文方法的有效性，进而开展不同坡角和排土场距坡肩距离影响分析。结果表明：（1）本文方法计算结果与数值计算结果吻合度较好，表明本文方法边坡极限承载力上限解合理有效；（2）边坡极限承载力与坡角大小呈线性负相关，与排土场距坡肩距离呈线性正相关，相比于排土场距坡肩距离而言，坡角对边坡承载力影响更为敏感；（3）坡角变化对边坡失稳模式影响较大，而排土场距坡肩距离的变化对边坡失稳模式影响不明显；（4）坡角和排土场距坡肩距离均对滑裂面起始位置和溢出位置有影响，滑裂面起始位置受排土场距坡肩距离影响较大而受坡角影响较小，滑裂面溢出位置受坡角影响较大而受排土场距坡肩距离影响较小。相关研究成果有望为边坡及邻坡基础设计提供理论支持。

关键词: 边坡工程, 极限承载力, 上限分析法, 非均质边坡, 刚性多滑块, 边坡稳定性

Abstract: Ultimate bearing capacity has always been a difficult and hot issue in mining and rock and soil fields, which seriously affects the safety and stability of slope and adjacent slope structures. Based on the upper bound theorem of limit analysis, the failure mechanism of heterogeneous layered slope with rigid multi-sliders was established in three modes. The upper bound solution of slope ultimate bearing capacity was deduced, and the optimal value was obtained by sequential quadratic programming algorithm (SQP). The north slope of Sancha mine was taken as the engineering background to verify effectiveness of the proposed method by comparing with the numerical method, and then the influence analysis of two parameters of different slope angles and the distances between dump and slope shoulder was carried out. The results were concluded as follows. (1) The results of the proposed method are in good agreement with those of numerical method, indicating that the proposed upper limit solution of slope ultimate bearing capacity is reasonable and effective. (2) The ultimate bearing capacity of slope has a linear negative correlation with slope angle and a linear positive correlation with the distance between the dump and the slope shoulder. Compared with the distance between the dump and the slope shoulder, the slope angle is more sensitive to the bearing capacity of slope. (3) The change of slope angle has a great influence on the slope failure mode, but the change of the distance between the dump and the slope shoulder has no obvious influence on the slope failure mode. (4) Both slope angle and the distance between the dump and the slope shoulder have an impact on the initial position and the overflow position of the slip surface. The initial position of the slip surface is greatly affected by the distance between the dump and the slope shoulder, but less affected by the slope angle. The overflow position of slip surface is greatly affected by slope angle but less affected by the distance between dump and slope shoulder. Relevant research results are expected to provide theoretical support for slope and adjacent slope foundation design.

Key words: slope engineering, ultimate bearing capacity, upper limit analysis, heterogeneous slope, rigid multi-sliders, slope stability

中图分类号: 

  • TU 457
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