岩石流变的一种非线性黏弹塑性流变模型研究

将黏滞系数视为非定常量,建立黏滞系数的非线性函数关系,提出一种能描述岩石蠕变全过程的非线性流变力学模型,且在一定条件下模型可蜕变为Burgers模型或西原正夫模型。推导了岩石在常应力和常应变条件下的流变方程;研究了岩石的非线性蠕变特性和松弛特性。对不同应力条件下的岩石蠕变试验结果进行拟合,并将本文的非线性岩石流变力学模型与试验结果进行比较。结果表明,试验曲线与理论曲线较吻合,从而证明了本模型的正确性与合理性。

Study on a Nonlinear Visicoelastic-Plastic Rheological Model of Rock Rheology

Considering the viscous coefficient as an indefinite constant, a nonlinear functional relationship of viscous coefficient is established, and a nonlinear rheological mechanical model for describing the whole process of rock creep is proposed. Under a certain condition, the model can be transformed into Burgers or Nishihara Masao model. Under the condition of constant stress and constant strain, the creep and rheological equations are deduced, and the rock nonlinear creep and relaxation properties are studied. The creep test results of rock under different stress conditions are fitted, and compared the proposed nonlinear rock rheological mechanical model with the rest result, indicates that the test curve tallies with the theoretical curve, and proves the correctness and rationality of the proposed model.