The mesoscopic parameters of numerical simulation cannot be directly obtained from laboratory test, and it is necessary to calibrate the parameters by comparing the numerical simulation results with the experimental results. To quickly and reasonably determine the mesoscopic parameters of limestone, a unique variable principle is used to comprehensively analyze the quantitative relationship between mesoscopic and macroscopic parameters. The results show that: The elastic modulus is positively correlated with the shear and normal stiffness per unit area. The compressive strength increases linearly with the increase of normal and shear stiffness per unit area, and it has a power function growth relation to critical normal stress and shear stress. The cohesion is mainly affected by critical normal and shear stress. With an increase of the critical normal and shear stress, the cohesion decreases. The normal stiffness per unit area, shear stiffness per unit area, critical shear stress, and critical normal stress have little influence on the internal friction angle. But there is a linear relationship between the internal friction angle and shear stiffness per unit area, and the internal friction angle is linearly related to the critical shear stress. Considering the interaction of multiple parameters, the correlation criterion and empirical formula between the mesoscopic parameters and rock mechanical parameters in the Hertz–Mindlin with Bonding contact model are proposed. The peak load, elastic modulus, and stress–strain curve variation law obtained by laboratory test and numerical simulation are close to each other, which indicates the correlation criterion can accurately simulate the mechanical properties of limestone.

数值模拟的介观参数不能直接从实验室测试中获得，因此有必要通过将数值模拟结果与实验结果进行比较来校准参数。为了快速合理地确定石灰岩的介观参数，采用独特的可变原理对介观参数与宏观参数之间的定量关系进行了综合分析。结果表明：弹性模量与单位面积的剪切强度和法向刚度呈正相关。抗压强度随单位面积法向刚度和剪切刚度的增加而线性增加，并且与临界法向应力和剪切应力具有幂函数增长关系。内聚力主要受临界法向应力和剪应力的影响。随着临界法向应力和剪应力的增加，内聚力降低。单位面积的法向刚度，单位面积的剪切刚度，临界剪应力和临界法向应力对内摩擦角的影响很小。但是内摩擦角和单位面积的剪切刚度之间存在线性关系，并且内摩擦角与临界剪切应力成线性关系。考虑到多个参数之间的相互作用，提出了具有邦定接触模型的Hertz-Mindlin介观参数与岩石力学参数之间的相关判据和经验公式。通过实验室测试和数值模拟获得的峰值载荷，弹性模量和应力-应变曲线变化规律彼此接近，