加卸载历史对盐岩蠕变行为的试验影响与模型研究

Experimental and modeling study of salt rock creep behavior under loading and unloading history

  • 摘要: 受加卸载历史的影响,地下工程反复变化的应力环境(如开挖、回填和卸载)会显著影响储库的长期稳定性. 为探讨这一影响,本文开展了相同应力水平下分级加载和卸载蠕变试验,系统研究了加卸载历史对盐岩蠕变特性的影响. 引入表征岩石硬化程度的状态变量构建了一种盐岩蠕变本构模型,该模型能够有效地考虑加卸载历史效应对盐岩变形的影响. 研究结果表明,蠕变应变受加卸载效应的影响存在显著差异. 升梯度试验盐岩的蠕变应变逐渐增大,而降梯度试验则出现负蠕变现象. 这是因为在升梯度试验中,逐级施加外荷载加剧了盐岩内部位错的增殖与滑移过程,从而促进了蠕变变形的发展. 而降梯度试验中,高应力阶段诱发的结构硬化效应在低应力阶段仍然起主导作用,表现为应变的回退. 所提出的本构模型能够准确预测加卸载路径下盐岩的蠕变变形,模型的拟合结果与试验数据高度吻合,证明该模型能够有效表征并预测盐岩的蠕变行为及其历史效应. 此外,将盐岩的变形分为蠕变变形,弹性变形和加载塑性变形. 加载塑性变形与加载前后的应力状态密切相关,而与加卸载路径、速率和时间无关. 模型参数敏感性分析结果表明,参数ab分别影响等速蠕变和变速蠕变应变,参数kmc通过影响状态变量对蠕变行为产生影响,参数n则表征蠕变变形对应力的敏感性,并影响不同阶段蠕变的变形特征.

     

    Abstract: The influence of loading and unloading history on creep deformation suggests that the cyclic stress environment in underground engineering e.g.: excavation, backfilling, and unloading) can significantly impact the long-term stability of salt rock. To further investigate this effect, this study systematically examined the impact of different loading and unloading conditions on the creep behavior of salt rock through stepped loading and unloading creep tests conducted under identical stress levels. A new creep constitutive model was developed by introducing a state variable that characterizes the degree of rock hardening, effectively accounting for the effects of loading and unloading on salt rock deformation. The results indicated that creep strain under stepped loading and unloading exhibited significant differences due to the influence of loading and unloading history. The stepped loading test led to a gradual increase in creep strain, whereas the stepped unloading test resulted in negative creep. This behavior occurred because, during stepped loading, the salt rock underwent multiple incremental stress stages. As the stress level increased, continuous evolution of the internal microstructure facilitated the progression of creep deformation. In contrast, during stepped unloading, internal structural adjustments were primarily driven by residual internal stress. Structural hardening induced high-stress levels continued to dominate in subsequent low-stress stages, resulting in strain, reversal—manifested as negative creep. The constitutive model based on a state variable accurately predicted the creep deformation of salt rock under both loading and unloading conditions. Model fitting results showed excellent agreement with experimental data, demonstrating its effectiveness in characterizing and predicting creep behavior and historical effects. Additionally, salt rock deformation can be categorized into time-dependent and time-independent components. Time-dependent deformation was influenced by both stress and time, resulting in varying deformation under different durations. Time-independent deformation included elastic and plastic components during loading. To clearly distinguish creep from plastic deformation, the time-independent plastic deformation was termed “loading plastic deformation” in this study. This deformation was closely related to the stress state before and after loading, but was independent of the loading path, unloading path, rate, and duration. Sensitivity analysis of the model parameters revealed that parameters a and b affected creep behavior by influencing constant and variable creep strain, respectively. Parameters k, m, and c influenced creep behavior through the state variable. Parameter n characterized the stress sensitivity of creep deformation and affected the deformation behavior at different creep stages.

     

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