基于数控岩石压痕试验装置的岩石力学参数反演研究

doi:10.13722/j.cnki.jrme.2022.1001

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摘要为获取岩石力学参数分布，研制一种基于数控三维平台的岩石压痕试验装置，并提出基于该装置的参数获取方法。通过结合不同岩性压痕试验及精细化三维数值仿真，同时考虑试验流程及机架刚度的影响，推导出该试验机的荷载–位移曲线修正公式。针对该试验装置，通过大量数值仿真及参数敏感性分析，对经典Oliver-Pharr公式进行改进，实现岩石弹性参数的准确获取。结果表明，采用经典Oliver-Pharr公式预测的岩石弹性模量与试验测量结果相差较大，而通过Oliver-Pharr改进公式预测的3种岩石弹性模量精度更高，相对误差分别为5.83%(花岗岩)、5.14%(大理岩)及10.79%(砂岩)。通过分别建立黏聚力与压痕试验曲线塑性区域面积(S)及卸载刚度与加载段割线刚度差值(Kp)间的换算关系，实现基于压痕试验获取岩石塑性参数的方法。通过与试验测量结果对比，发现基于M-C模型的刚度差值反演公式预测的黏聚力与试验结果更为接近，相对误差分别为17.81%(大理岩)及21.93%(砂岩)。此外，对该装置在岩石空间参数场的获取、岩石损伤等方面进行讨论。研究成果提供了一种获取岩石力学参数场的便捷方法，有望为岩石精准化数值仿真的参数选取提供支持。

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	李一鸣1
	赵高峰1
	赵晓豹2
	李海波3

关键词 ：岩石力学, 压痕试验, 数值模拟, 参数反演, 数控平台

Abstract：To obtain the distribution of rock mechanical parameters，a rock indentation equipment was developed based on the digital control three-dimensional platform，and a parameter acquisition method based on this equipment was proposed. The correction formula of the load-displacement curve for the testing machine was established by integrating different indentation tests with the refined three-dimensional numerical simulation and considering the effect of the test procedure and frame stiffness. Then，a large number of numerical simulations and parameter sensitivity analysis for this equipment were conducted，and the classical Oliver-Pharr formula was improved to precisely determine the elastic parameter of rocks. The results indicated that there was a great difference between the estimated elastic modulus by the classical Oliver-Pharr formula and measured values. The proposed improved Oliver-Pharr formula gave a better performance in predictions of the elastic modulus for three types of rocks，with relative errors of 5.83%(granite)，5.14%(marble) and 10.79%(sandstone)，respectively. Moreover，the plastic parameter of rocks was determined based on the indentation test by establishing the relationship between the cohesive and the plastic region area(S) and the difference between the unloading stiffness and the secant stiffness of the loading phase(Kp)，respectively. Compared the results with the measured cohesion by the experimental test，we found that the formula of stiffness difference based on the M-C model gave a better performance in estimating the cohesion of rocks，with relative errors of 17.81%(marble) and 21.93%(sandstone)，respectively. Moreover，the discussion was conducted in terms of the acquisition of the spatial parameter fields of rocks and rock damage based on the testing device. The results of this research presented an efficient approach to obtain rock mechanical parameters fields and provided support for the parameter selection of the refined numerical simulation in rock mechanics.

Key words： rock mechanics indentation test numerical simulation back analysis digital control platform

引用本文:

李一鸣1，赵高峰1，赵晓豹2，李海波3. 基于数控岩石压痕试验装置的岩石力学参数反演研究[J]. 岩石力学与工程学报, 2023, 42(8): 1973-1987.
LI Yiming1，ZHAO Gaofeng1，ZHAO Xiaobao2，LI Haibo3. Study on back analysis of rock mechanical parameters based on the digital control rock indentation equipment. , 2023, 42(8): 1973-1987.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1001 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I8/1973

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