考虑含充填软弱结构面的接触界面与充填材料的共同变形,提出三单元模型描述充填结构面。结合特征线法,推导建立一维P–波在含充填结构面岩体中的传播方程,并与已有理论进行了对比验证,然后展开了入射波频率、接触界面刚度、充填厚度以及充填材料属性对应力波传播规律的参数讨论。最后,基于应力–应变均匀假定,将厚度较薄的充填结构面等效于无厚度位移不连续模型,较厚的充填结构面等效于位移连续的软弱夹层,通过分析等效节理的刚度和等效夹层的弹性模量,反推得到充填结构面的法向变形特性的影响。研究结果表明,采用三单元描述充填结构面是可行的,同时接触界面刚度、充填厚度以及充填材料属性三参数对透射系数均存在一个阈值,当参数值大于该阈值时,其对透射系数的影响较小。透射系数与接触界面刚度和充填材料的波速正相关,而与充填厚度呈负指数函数关系。等效刚度和等效弹模均随着接触界面的刚度增加而增加。随着充填材料的波速增加,等效刚度迅速增加后趋向稳定,稳定值与充填厚度以及接触界面刚度密切相关。
Considering the deformation of filling material and the interfaces between the rock and the filling materials, combined with the method of characteristics, the three element model(TEM) is employed to analyze wave propagation across filling structure. Comparison with the existing theories, the validity of TEM is verified. Then parametric study is conducted for the effects of the stiffness of the interfaces, the filling thickness, the velocity of the filling material and the frequency of incident waves. Finally, the filling structure with thin filling material is equivalent to joint without filling material and the filling structure with thick filling material is equivalent to the interlayer, two parameters are defined to describe the mechanical behavior of the filling structure. The study results show that the effects of the stiffness of the interfaces, the filling thickness, the velocity of the filling material on wave propagation are divided into two parts by critical values. The effects decrease when the three parameters exceed the critical values. The transmission coefficient is positively correlated with the stiffness of the interface and the velocity of the filling material. The negative exponential function is proposed to describe the relationship between the filling thickness and transmission coefficient. Kne and Ene are also closely related to the filling thickness and the stiffness of the contact interface.