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借助盐岩流变–超声波试验,得出损伤变量随加载时间的函数关系式,并在经典三元件模型的基础上,通过引入分数阶微积分理论及损伤理论,构建基于损伤演化的盐岩分数阶三元件模型,该本构模型具有元件简明、参数较少等优点。基于盐岩单轴流变试验数据,采用最小二乘法拟合获得该本构模型中的参数。由拟合曲线可知,分数阶三元件模型能够很好地描述盐岩流变的3个阶段,且精度较高,克服经典三元件模型不能表征加速流变阶段的缺点,且验证经典三元件模型为分数阶三元件模型的一种特殊形式。
Based on the rheological-ultrasonic test of salt rock, the functional relationship between damage variables and loading time is obtained. Based on the classical three-element model, by introducing fractional calculus theory and damage theory, the rock salt fraction based on damage evolution Order three-element model, the constitutive model has the advantages of simple components, less parameters and so on. Based on the uniaxial rheological test data of salt rock, the parameters in the constitutive model were obtained by least squares fitting. From the fitting curves, the fractional three-element model can well describe the three stages of salt rock rheology, with high accuracy, overcome the shortcomings of the classical three-element model can not characterize the accelerated rheological stage, and verify the classical three-element model A special form of a fractional three-component model.