基于统计规律的岩石非稳态蠕变经验模型研究

doi:10.3724/1000-6915.jrme.2024.0453

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摘要针对大多数常规三轴压缩条件下岩石非稳态蠕变模型存在函数复杂、参数较多且不易确定等不足，基于该条件下31组不同类型岩石蠕变试验数据，构建应变函数和时间函数，统计、分析得到二者线性关系，据此建立一种新的岩石非稳态蠕变经验模型，根据页岩、大理岩、泥岩和砂质页岩4种类型岩石在不同应力水平下的蠕变试验数据，对模型精确性和合理性进行验证。结果表明：基于统计规律的岩石非稳态蠕变经验模型函数为仅含4个模型参数的统一表达式，其蠕变曲线近似为反“S”型，蠕变速度曲线近似为正“U”型，均与实际岩石蠕变规律一致；页岩、大理岩、泥岩和砂质页岩在不同应力水平下的蠕变试验结果与经验模型理论曲线吻合程度高，验证了该模型的合理性和精确性，该模型不仅能描述瞬时弹性应变、衰减蠕变、等速蠕变，还能描述非线性特征尤为明显的加速蠕变。

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	张亮亮1
	程桦2
	王晓健1

关键词 ：岩石力学, 蠕变模型, 非稳定蠕变, 线性拟合, 黏弹塑性

Abstract：In view of the shortcomings of most rock unsteady creep models under conventional triaxial compression conditions，such as complex functions，numerous parameters and difficulty in determining，based on 31 sets of unsteady creep test data of different types of rocks，the strain functions and time functions were constructed，and the linear relationship between the two was statistically analyzed. Based on this，a new empirical model for unsteady creep of rocks was established，using creep test data of shale，marble，mudstone and sandy shale at different stress levels to verify the accuracy and rationality of the model. The results show that the empirical model function of rock unsteady creep based on statistical laws is a unified expression containing only four model parameters. Its creep curve is approximately an inverse S-shape，and the creep velocity curve is approximately a positive U-shape，both of which are consistent with the actual rock creep laws. The creep test results of shale，marble，mudstone，and sandy shale at different stress levels are highly consistent with the theoretical curve of the empirical model. Its rationality and accuracy have been verified. The model can not only describe instantaneous elastic strain，attenuation creep，and constant velocity creep，but also describe accelerated creep with particularly obvious nonlinear characteristics.

Key words： rock mechanics creep model unsteady creep linear fitting viscoelastic plasticity

引用本文:

张亮亮1，程桦2，王晓健1 . 基于统计规律的岩石非稳态蠕变经验模型研究[J]. 岩石力学与工程学报, 2025, 44(1): 164-173.
ZHANG Liangliang1，CHENG Hua2，WANG Xiaojian1. Research on unsteady creep empirical model of rocks based on statistical laws. , 2025, 44(1): 164-173.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2024.0453 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I1/164

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