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基于PFC3D的空心圆柱灰砂岩宏细观参数相关性研究
  • Title

    Study on correlation of macro and microstructural parameters of hollowcylindrical grey sandstone based on PFC3D

  • 作者

    姜玥邹文栋

  • Author

    JIANG Yue;ZOU Wendong

  • 单位

    苏州科技大学 土木工程学院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

  • Organization
    School of Civil Engineering, University of Science and Technology of Suzhou
    State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences
  • 摘要

    为从细观层面揭示主应力量值变化并为应力主轴旋转组合条件下围岩的破坏机理研究提供一种有效的数值模拟方法,基于空心圆柱灰砂岩单轴压缩和常规三轴压缩试验特性,分别采用单因素分析法、响应曲面分析法和回归分析法,研究了离散元软件PFC3D中平行黏结模型宏细观参数的敏感性特征。结果表明:依靠单因素分析法确定出的细观参数可靠性极低,基于响应曲面分析法和回归分析法获取的细观参数在低围压下与实验室结果表现出良好的拟合性;空心圆柱灰砂岩数值模型的抗压强度$ {mathrm{sigma }}_{mathrm{c}} $与黏聚力$ bar{c} $呈正相关;弹性模量$ E $分别与有效黏结模量$ {bar{E}}_{{mathrm{c}}} $、平行黏结刚度比($ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $)2呈正相关,与$ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $呈负相关;泊松比v与平行黏结刚度比$ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $呈正相关;剪切裂纹比$ {alpha } $与($ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $)2呈线性相关。最后,采用迭代法对响应曲面分析法和回归分析法获取的细观参数进行了优化,优化后的数值模拟结果与实验室结果在不同围压下的试样峰值强度、变形参数和破坏形态方面吻合度较高。迭代法为PFC3D中平行黏结模型的细观参数标定提供了一种有效的方法,通过这一优化方法可以简化标定步骤,提升标定结果的适用性,提高模型的准确性和可靠性。

  • Abstract

    In order to provide an effective numerical simulation method to reveal the damage mechanism study of surrounding rock under the combination of the change of principal stress value and the rotation of the stress principal axis from the fine-scale level, based on the uniaxial compression and conventional triaxial compression test characteristics of hollow cylindrical gray sandstone, the sensitivity of the macro fine-scale parameters of the parallel bonding model in the discrete element software PFC3D was studied by using the one-factor analysis method, the response surface analysis method, and the regression analysis method, respectively. characteristics of the parallel bonding model in the discrete element software PFC3D. The results show that: the reliability of the macroscopic parameters determined by the one-factor analysis method is extremely low, and the macroscopic parameters obtained based on the response surface analysis and regression analysis method show a good fit with the laboratory results at low perimeter pressure; the numerical model compressive strength $ {sigma }_{mathrm{c}} $ is positively correlated with cohesion $ bar{c} $, and the elastic modulus E is positively correlated with the quadratic of the effective modulus of adhesion $ {bar{E}}_{{mathrm{c}}} $ and stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $, and positively correlated with stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $ positively correlated with the stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $ and negatively correlated with the quadratic of the stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $, Poisson's ratio v is positively correlated with the stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $, and the shear cracking ratio α is linearly correlated with the quadratic of the stiffness ratio $ {bar{k}}_{mathrm{n}}/{bar{k}}_{mathrm{s}} $. Finally, the fine-scale parameters obtained by response surface analysis and regression analysis were optimized using the iterative method, and the optimized numerical simulation results were in good agreement with the laboratory results in terms of the peak strength, deformation parameters and damage morphology of the specimens under different circumferential pressures. The iterative method provides an effective method for the calibration of the fine apparent parameters of the parallel bonding model in PFC3D, and this optimization can simplify the calibration steps, as well as enhance the applicability of the calibration results, and improve the accuracy and reliability of the model.

  • 关键词

    离散元PFC3D空心圆柱灰砂岩平行黏结模型细观参数标定应力主轴旋转

  • KeyWords

    discrete element PFC3D;hollow cylindrical gray sandstone;parallel bonding model;parameter calibration;stress spindle rotation

  • 基金项目(Foundation)
    国家自然科学基金资助项目(42102307);江苏省自然科学基金资助项目(BK20200992);江苏省高等学校自然科学研究面上资助项目(20KJB560031)
  • DOI
  • 引用格式
    姜 玥,邹文栋. 基于PFC3D的空心圆柱灰砂岩宏细观参数相关性研究[J]. 煤炭科学技术,2024,52(10):78−89. DOI: 10.12438/cst.2023-1137
  • Citation
    JIANG Yue,ZOU Wendong. Study on correlation of macro and microstructural parameters of hollowcylindrical grey sandstone based on PFC3D[J]. Coal Science and Technology,2024,52(10):78−89. DOI: 10.12438/cst.2023-1137
  • 图表
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    •  
    • 空心圆柱灰砂岩模型

    图(10) / 表(7)

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