岩土力学 ›› 2020, Vol. 41 ›› Issue (8): 2609-2618.doi: 10.16285/j.rsm.2019.1739

• 基础理论与实验研究 • 上一篇    下一篇

含水条件下弱胶结软岩蠕变特性 及分数阶蠕变模型研究

刘家顺1, 2，靖洪文2，孟波2，王来贵3，张向东1，杨建军1   

  1. 1.辽宁工程技术大学 土木工程学院，辽宁 阜新 123000；2. 中国矿业大学 深部岩土力学与地下工程国家重点实验室，江苏 徐州 221116； 3.辽宁工程技术大学 力学与工程学院，辽宁 阜新 123000
  • 收稿日期:2019-10-10 修回日期:2020-01-13 出版日期:2020-08-14 发布日期:2020-10-17
  • 作者简介:刘家顺，男，1986年生，博士，讲师，主要从事岩土工程方面的教学与科研工作
  • 基金资助:
    中国矿业大学深部岩土力学与地下工程国家重点实验室开放基金课题（No. SKLGDUEK1914）；国家自然科学基金重点项目（No. 51734009）；国家自然科学基金（No. 51704144）；辽宁省自然科学基金指导项目（No. 20180551162）。

Research on the effect of moisture content on the creep behavior of weakly cemented soft rock and its fractional-order model

LIU Jia-shun1, 2, JING Hong-wen2, MENG Bo2, WANG Lai-gui3, ZHANG Xiang-dong1, YANG Jian-jun1   

  1. 1. School of Civil Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China; 2. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 3. School of Mechanics & Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Received:2019-10-10 Revised:2020-01-13 Online:2020-08-14 Published:2020-10-17
  • Supported by:
    This work was supported by the Open Fund of State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology (SKLGDUEK1914), the Key Program of National Natural Science Foundation of China(51734009), the National Natural Science Foundation of China (51704144) and the Liaoning Natural Science Foundation Guidance Project(20180551162).

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摘要： 含水条件下弱胶结软岩表现出显著的蠕变特性，严重威胁矿山开采和边坡安全。利用GDS HPTAS三轴仪开展弱胶结软岩分级加载蠕变试验，研究不同含水条件下弱胶结软岩蠕变变形特征、蠕变速率特征及蠕变破坏模式。采用稳态蠕变率-应力曲线拐点法确定了弱胶结软岩长期强度并分析了长期强度随含水率的变化规律。引入分数阶微积分理论，用Abel黏壶替代Kelvin模型中的黏壶元件，塑性元件替代弹性元件，建立了可以描述加速蠕变的四元件分数阶弱胶结软岩蠕变模型。采用Trust-Region法对蠕变试验结果进行反演分析得到模型参数并分析了模型参数与含水率和加载应力的关系，探讨了含水率和加载应力条件对弱胶结软岩蠕变特征的影响规律。模型计算结果与试验值吻合度较高，说明四元件分数阶蠕变模型可以较为准确地反映含水条件下弱胶结软岩全过程蠕变曲线特征。

关键词: 弱胶结软岩, 分数阶微积分, 蠕变模型, 长期强度, GDS HPTAS三轴仪

Abstract: Weakly cemented soft rock show significant creep characteristics under water rich condition, which seriously affect the safety of mining and slope engineering. A series of multi-stage loading creep tests was carried out by using GDS HPTAS creep triaxial apparatus to investigate the creep behavior of the weakly cemented soft rock with different moisture contents. Creep deformation, creep rate and failure mode were analyzed. Thus, the long-term strength and its variation were determined according to the inflection point of the creep rate vs. stress curves of the weakly cemented soft rock with different moisture contents. Based on the test results and fractional calculus theory, a new four-element fractional-order creep model was proposed by using Abel clay pot instead of Kelvin clay pot element, and the plastic element was applied instead of the elastic element, the three-stage creep behavior of weakly cemented soft rock was described. The Trust-Region method was adopted to determine the model parameters of the four-element fractional-order creep model. The relationship between the model parameters, moisture content and loading stress was analyzed by the multivariate nonlinear regression method. The effect of moisture content and loading conditions on the creep behavior of the weakly cemented soft rock was also discussed. From the perspective of comparative analysis, the numerical results calculated by the four-element fractional-order creep model are in good agreement with the test data, the proposed model can accurately simulate the whole creep behavior of weakly cemented soft rock.

Key words: weakly cemented soft rock, fractional-order calculus, creep model, long term strength, GDS HPTAS triaxial apparatus

中图分类号: 

  • TU 454
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