盐岩的分数阶导数蠕变模型

盐岩蠕变特性是影响能源深部地下储存库长期运营的重要决定因素。利用基于分数阶导数的定义得到的Abel粘壶以及带应变触发的Abel粘壶建立了新的分数阶导数蠕变模型。通过四个月的盐岩蠕变实验，获得了全过程蠕变曲线，基于盐岩蠕变实验数据，对分数阶导数蠕变模型的参数进行了拟合分析，确定了模型中的参数，并对建立的分数阶导数蠕变模型与西原正夫模型进行了对比分析。结果表明，分数阶导数蠕变模型与实验数据吻合的更好，不仅克服了整数阶蠕变模型在初始阶段与实验数据不能很好的吻合的弊端，又能反映盐岩全过程蠕变特征。

Fractional Derivative Creep Model of Salt Rock

The creep property of the salt rock is an important determinant of deep underground repository of energy for long-term operation. New fractional derivative creep model has been built by using the Abel dashpot and Abel dashpot with strain triggered based on the definition of fractional derivative. Through over 4 months' experiment, it has gotten creep curve for the whole process. Based on the experimental data of the salt rock creep, it provides fitting analysis on parameters of fractional derivative creep constitutive model and determines the parameters of the model. In addition, comparing the fractional derivative creep model with the Nishihara model, it is found that fractional derivative model is in better agreement with the experimental data . The model not only overcomes the drawback that Integer -order creep model is not in good agreement with the experimental data at the primary creep stage, but also reflects the whole process of creep characteristics of salt rock.