人民长江 ›› 2023, Vol. 54 ›› Issue (9): 175-183.doi: 10.16232/j.cnki.1001-4179.2023.09.023

• • 上一篇    

平面P波入射软弱结构面传播特征研究

李春鹏 李远远 仝霄金   

  • 收稿日期:2022-05-17 出版日期:2023-09-28 发布日期:2023-10-16

Propagation characteristics of planar P-wave injecting into weak structural plane

LI Chunpeng LI Yuanyuan TONG Xiaojin   

  • Received:2022-05-17 Online:2023-09-28 Published:2023-10-16

摘要: 软弱结构面在动载作用下易发生失稳破坏,影响工程与场地安全。基于软弱结构面理论模型,采用应力波理论,分别考虑粘结与滑移边界条件,推导了P波入射软弱结构面的透反射系数表达式,并采用数值方法对理论结果进行对比验证。讨论了P波入射角、频率等因素对应力波传播的影响。研究结果表明:粘结与滑移边界应力波透反射特性相近,但滑移状态下应力波存在能量损耗;软弱结构面存在高频滤波特性,需要关注低频时结构面的稳定性;软弱结构面等效摩擦角越大越难发生剪切变形;波阻抗比对应力波透反射系数的影响存在一个阈值,超过这个阈值则透射系数保持恒定;应力波透反射系数随着充填材料厚度增大呈现周期波动变化,该周期可能与入射P波波长相关。研究结论有助于在岩土工程中确定潜在滑移软弱结构面,为抗震加固、岩土爆破工程等提供理论依据。

关键词: 软弱结构面;平面P波;应力波理论;透射;反射;

Abstract: Weak structural planes are prone to be damaged under the dynamic load, which affects the safety of a project and the ground site.In this paper, based on a theoretical model of a weak structural plane, using the stress wave theory and considering the bonding and slip boundary conditions, the transmittance and reflection coefficients of the P wave injecting into the weak structural plane are deduced.And the theoretical results were compared and verified by the FEM numerical method.Then, the influence characteristics of P wave incidence angle, frequency and other factors on stress wave propagation are discussed.The research results show that the stress wave transmittance and reflection characteristics of bonding and sliding boundary are similar, but the stress wave loses energy in the sliding state.The weak structural plane has high-frequency filtering characteristics, so it is necessary to pay attention to the stability of the structural surface to low frequencies.When the equivalent friction angle of the weak structural plane increases, its shear deformation is more difficult to occur.The wave impedance ratio has a threshold on the stress wave transmission coefficient, and when it exceeds this threshold, the effect on the transmission coefficient is minimal.The stress wave transmittance and reflection coefficient shows a periodic fluctuation with the increase thickness of the filling material, and the period may be related to the wavelength of the P wave.The analysis of stress wave propagation characteristics is beneficial to determining the potential slippery weak structural plane in geotechnical engineering, and provides theoretical basis for seismic reinforcement and geotechnical blasting engineering.

Key words: weak structural plane; planar P wave; stress wave theory; transmission; reflection;