基于PFC^(3D)的空心圆柱灰砂岩宏细观参数相关性研究  

Study on correlation of macro and microstructural parameters of hollow cylindrical grey sandstone based on PFC^(3D)

作　　者：姜玥 邹文栋[1] JIANG Yue;ZOU Wendong(School of Civil Engineering,University of Science and Technology of Suzhou,Suzhou 215000,China;State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan 430071,China)

机构地区：[1]苏州科技大学土木工程学院,江苏苏州215000 [2]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

出　　处：《煤炭科学技术》2024年第10期78-89,共12页Coal Science and Technology

基　　金：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)。

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PFC^(3D)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σ_(c)与黏聚力k_(n)^(-)/k_(s)^(-)呈正相关;弹性模量E分别与有效黏结模量k_(n)^(-)/k_(s)^(-)、平行黏结刚度比的二次方(k_(n)^(-)/k_(s)^(-))~2呈正相关,与k_(n)^(-)/k_(s)^(-)呈负相关;泊松比v与平行黏结刚度比k_(n)^(-)/k_(s)^(-)呈正相关;剪切裂纹比α与(k_(n)^(-)/k_(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PFC^(3D)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。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 PFC^(3D)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 PFC^(3D).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 is positively correlated with cohesion,and the elastic modulus E is positively correlated with the quadratic of the effective modulus of adhesion and stiffness ratio(k_(n)^(-)/k_(s)^(-)),and positively correlated with stiffness ratio(k_(n)^(-)/k_(s)^(-))positively correlated with the stiffness ratio(k_(n)^(-)/k_(s)^(-))and negatively correlated with the quadratic of the stiffness ratio(k_(n)^(-)/k_(s)^(-)),Poisson's ratio(k_(n)^(-)/k_(s)^(-))v is positively correlated with the stiffness ratio(k_(n)^(-)/k_(s)^(-)),and the shear cracking ratio(k_(n)^(-)/k_(s)^(-))αis linearly correlated with the quadratic of the stiffness ratio(k_(n)^(-)/k_(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 o

关 键 词：离散元PFC^(3D) 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 

分 类 号：TD315[矿业工程—矿井建设]