改进的广义Kelvin岩石蠕变模型研究

为了克服传统元件组合模型难以描述岩石蠕变过程中非线性特征的缺陷，提出一种新的时间触发非线性黏性元件，并将其与广义Kelvin模型串联，再将岩石蠕变过程中岩石弹性模量的衰减方程引入到广义Kelvin模型中，得到了一个可以模拟岩石蠕变全过程的非线性蠕变模型，推导了不同恒定荷载情况下的一维和三维蠕变方程。根据通用全局优化算法，利用前人所研究的岩石蠕变实验曲线对非线性蠕变模型进行参数确定和模型验证。模型理论计算值和岩石蠕变实验曲线的对比表明该蠕变模型具有较高的正确性和合理性，能较好地模拟岩石在不同应力水平下的蠕变变形，可为今后开展类似研究提供一定的参考价值。

Studies on the Improved Generalized Kelvin Rock Creep Model

To overcome the shortcoming that the traditional component assembly model is difficult to describe the nonlinear characteristics of rock creep process, a new time-triggered nonlinear viscous component was proposed for series connection with the generalized Kelvin model. Then, the modulus attenuation equation of rock elasticity modulus during the rock creep process was introduced into the generalized Kelvin model to obtain a nonlinear creep model that can simulate the whole process of rock creep. Then, the one-dimensional and three-dimensional creep equations under different constant loads were derived. According to the general global optimization algorithm, parameter determination and model verification of the nonlinear creep model were performed by using the rock creep experiment curve of previous researches. The comparison between the theoretical calculation value of the model and the rock creep experiment curve shows that the nonlinear creep model is highly accurate and rational. It can better simulate the creep deformation of rock at different stress levels, and can provide certain reference value for carrying out similar researches in the future.