岩石统计渗流模型和统计损伤本构模型研究

Study on statistical seepage model and statistical damage constitutive model of rock

采用Eshelby等效夹杂方法建立考虑渗流的岩石损伤本构模型是一种有效方法,但相关文献目前还极少。利用细观力学的Eshelby等效夹杂方法, 探索了考虑渗流和损伤的Helmholtz自由比能函数的确定,用连续介质损伤力学方法建立了相应的考虑渗流的岩石损伤统计本构模型,提出了考虑渗流和损伤过程的岩石破坏准则,建议了考虑损伤和应变的岩石渗透系数演化方程。与试验结果比较表明,所建立模型是合理的。

The Eshelby equivalent inclusion method is a effective method to establish the constitutive models for seeping damage rock. There are a few paper discussed using Eshelby equivalent inclusion method to establish the constitutive models until now. Using Eshelby equivalent inclusion method, a Helmholtz free energy for seeping damage rock is set up. A constitutive model for seeping damage rock is resulted from the Helmholtz free energy function with the theory of continuum damage mechanics. A failure rule for seeping damage rock is brought up. Then a statistical seepage model for rock is proposed. The presented models are verified as reasonable and practical by compared with the experiment data.