砂岩颗粒流平行黏结模型宏细观参数关联性研究

Study on the correlation of macro and meso parameters of parallel bond model sandstone

  • 摘要: 为研究砂岩细观层面的力学响应及破坏特征,本文首先开展室内岩石压缩试验和基于平行黏结模型的PFC2D单轴宏细观参数关联性数值试验;然后采用试错法确定各细观参数对宏观力学指标的影响程度排序,并进行显著因子交互作用分析;最终利用回归分析建立宏细观参数间函数关系;运用控制变量法研究岩样裂纹演化及破坏形式的主要影响因素。研究结果表明:①单轴抗压强度σc与平行黏聚力c、黏结法向强度σc、黏结内摩擦角φ呈非线性关系;②弹性模量E与黏结模量E*、黏结刚度比k*呈多项式关系;③泊松比vk*、摩擦系数μ呈线性关系;④抗拉强度σtcσc呈较好的线性关系;⑤岩样裂纹演化与破坏形式主要受黏结强度比σc/c影响,其与拉伸裂纹数目负相关,与剪切裂纹数目正相关;随σc/c增大,岩样的破坏形式呈拉伸破坏—共轭破坏—剪切破坏的变化特征。室内试验和数值模拟的单轴压缩σ-ε演化规律及破坏形式基本一致。

     

    Abstract: In order to study the mechanical response and failure characteristics of sandstone at the meso level, this paper first carried out indoor rock compression test and PFC2D uniaxial macro-meso parameter correlation numerical test based on parallel bond model.Then, the trial-and-error method is used to determine the order of the influence degree of each mesoscopic parameter on the macroscopic mechanical index, and the interaction analysis of significant factors is carried out.Finally, the regression analysis is used to establish the functional relationship between macroscopic and mesoscopic parameters.The main influencing factors of crack evolution and failure mode of rock samples are studied by using the control variable method.The results show that: ①The uniaxial compressive strength σc has a complex nonlinear relationship with parallel cohesion c, bond normal strength σc and bond internal friction angle φ.; ② Elastic modulus E has a polynomial relationship with bond modulus E * and bond stiffness ratio k *; ③ Poisson's ratio v is linear with k * and friction coefficient μ; ④The tensile strength σt has a good linear relationship with c and σc.; ⑤The crack evolution and failure mode of rock samples are mainly affected by the bond strength ratio σc/c, which is negatively correlated with the number of tensile cracks and positively correlated with the number of shear cracks. With σc/c increases, the failure mode of rock samples is characterized by tensile failure-conjugate failure-shear failure.The evolution law and failure form of uniaxial compression σ-ε in laboratory test and numerical simulation are basically the same.

     

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