深部砂岩力学特性试验与本构模型

Experimental study on mechanical properties of deep sandstone and its constitutive model

  • 摘要: 为深入探究岩石强度劣化特性对深部开采工程稳定性的不利影响。以红庆梁深立井工程为背景,对现场砂岩岩样开展不同围压条件下三轴压缩试验,结合Mohr-Coulomb强度理论研究了砂岩应力-应变、强度与变形等特征;基于岩石损伤变量服从Weibull分布的特点,推导出砂岩损伤软化本构模型,探讨了模型参数F0和m与围压的函数关系,结合模型参数对模型的影响及砂岩应力-应变曲线变化特点,采用非线性拟合方法对模型参数进行修正,最后得到修正的损伤软化本构模型;利用FLAC3D对修正后的本构模型数值求解,将理论计算结果与砂岩全应力-应变曲线对比验证;通过构建马头门硐室围岩数值模型对修正后本构模型进行工程应用,并分析了数值计算结果的合理性。结果表明:①砂岩变形参数对围压敏感度较低,强度参数受围压影响较大,不同围压条件下,当应力达到峰值后,砂岩呈现出明显的应变软化特性;②通过FLAC3D数值验证结果可知,损伤软化模型理论计算应力-应变曲线与试验曲线高度吻合,说明模型具有较高的真实性,能反映砂岩在复杂应力状态下的破坏全过程;③利用数值模拟方法对深部马头门硐室围岩与支护结构破坏规律分析表明,在拱顶及拱肩位置较易出现塑性剪切破坏,并且与实际工程中支护结构破坏位置及范围基本相同。

     

    Abstract: In order to investigate into the negative impact of the deterioration characteristics of rock strength on the sta- bility of deep mining engineering structure, the triaxial compression tests on the sandstone samples collected from Hongqingliang Deep Shaft Project are performed under different confining pressures. With reference to Mohr-Coulomb strength theory,the stress-strain,strength,and deformation characteristics of the sandstone are analyzed. The damage and softening constitutive model of the sandstone is deduced,given that the damage variables are subject to Weibull distribution. The functional relationships between the model parameters ( F0 and m) and the confining pressure are discussed. Based on the influence of model parameters on the constitutive model and the changing characteristics of the stress-strain curve,the nonlinear fitting method is employed to modify the model,hence the modified damage and sof- tening constitutive model is obtained. The modified constitutive model is numerically solved by FLAC3D ,and the theo- retical computation results are compared and verified against the complete stress-strain curve of the sandstone. The modified constitutive model is applied in engineering projects through the construction of the numerical model for sur- rounding rocks of the in-gate cavern,and the rationality of the numerical computation results is analyzed. The results show that:① the deformation parameters have low sensitivity to confining pressure,while the strength parameters are significantly affected by confining pressure. Under different confining pressures,when the stress is at its peak,the sand- stone displays obvious strain softening characteristics. ② Based on the numerical verification results of the FLAC3D ,the stress-strain curve obtained from theoretical computation using the damage and softening constitutive model is highly consistent with the experimental curve,indicating that the model is highly reliable and can reflect the complete damage process of the sandstone under complex stress conditions. ③ When numerical simulation approach is employed to ana- lyze the failure law of surrounding rocks and supporting structures of the deep in-gate cavern,a plastic shear strain fail- ure is more likely to occur on the vault and the spandrel,which are essentially the same as the failure position and range of supporting structures in real engineering projects.

     

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