基于<italic style="font-style: italic">g-λ</italic>模型的充填节理中P波传播规律分析

柴少波; 文成伍; 宋浪; 徐盈龙

doi:10.16152/j.cnki.xdxbzr.2025-03-013

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基于g-λ模型的充填节理中P波传播规律分析

更新时间：2025-06-26

- 基于g-λ模型的充填节理中P波传播规律分析
- Analysis of P-wave propagation in filled joints based on the g-λ model
- 西北大学学报（自然科学版） 2025年55卷第3期页码：658-667
- 作者机构：
  
  1.长安大学　建筑工程学院，陕西　西安　 710064
  2.西安交通大学　城市学院，陕西　西安　 710018
- 作者简介：
  
  [ "柴少波，长安大学建筑工程学院副教授，博士生导师。从事岩体动力学相关的科研工作。主持国家自然科学基金项目2项、省部级科研项目3项。以第一/通讯作者发表论文40余篇，其中SCI/EI检索30余篇，获授权专利10余项。现任中国岩石力学与工程学会极地岩土力学与工程专委会委员、地面岩石工程专委会委员、陕西省岩土力学与工程学会理事。获陕西省高等学校科学研究优秀成果一等奖、中国安全生产协会第四届安全科技进步二等奖各1项。" ]
- 基金信息：
  
  国家自然科学基金(42102302;41902277);陕西省重点研发计划(2025SF-YBXM-525);中央高校基本科研业务费项目(300102282201)
- DOI：10.16152/j.cnki.xdxbzr.2025-03-013
  中图分类号： TH212;TH213.3
- 收稿日期：2025-05-13，
  
  纸质出版日期：2025-06-25
- 稿件说明：
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柴少波, 文成伍, 宋浪, 等. 基于g-λ模型的充填节理中P波传播规律分析[J]. 西北大学学报（自然科学版）, 2025,55(3):658-667.

CHAI Shaobo, WEN Chengwu, SONG Lang, et al. Analysis of P-wave propagation in filled joints based on the g-λ model[J]. Journal of northwest university (natural science edition), 2025, 55(3): 658-667.
柴少波, 文成伍, 宋浪, 等. 基于g-λ模型的充填节理中P波传播规律分析[J]. 西北大学学报（自然科学版）, 2025,55(3):658-667. DOI： 10.16152/j.cnki.xdxbzr.2025-03-013.

CHAI Shaobo, WEN Chengwu, SONG Lang, et al. Analysis of P-wave propagation in filled joints based on the g-λ model[J]. Journal of northwest university (natural science edition), 2025, 55(3): 658-667. DOI： 10.16152/j.cnki.xdxbzr.2025-03-013.

摘要

作为岩体软弱结构面，节理中的应力波传播规律对岩体动力稳定性分析至关重要。特别地，充填节理因其厚度及充填材料特性，使得应力波传播规律变得复杂。现有关于充填节理中的波传播理论分析研究较少，且很少考虑接触界面的非线性变形特征。为此，采用

g-λ

模型来描述充填节理接触面法向变形行为，考虑节理充填层的影响，利用改进的时域递归法建立了应力波在充填节理中的传播方程，并对P波的透反射系数进行参数化分析。通过理论分析，认为

是关于节理黏聚力和内摩擦角的参数，随着λ的增大，节理刚度非线性增加的速度会增加；应力波的透反射系数对入射角的变化较为敏感，P波的反射系数会随着入射角度的增加先减小后增大，P波的透射系数变化较为平缓，而入射角继续增大时，P波的透射系数会陡降；整体来看，节理的初始法向刚度的变化对P波的透反射系数影响较大，而切向刚度的变化对S波的透反射系数影响较大。研究结果对应力波在含充填节理岩体中的传播规律提供了一定的理论依据。

Abstract

The propagation law of stress waves in joints

as weak structural planes in rock masses

plays a pivotal role in assessing the dynamic stability of rock mass. In particular

the wave propagation characteristics become complicated in filled joints due to their thickness and the properties of the filling materials. Current theoretical investigations on wave propagation in filled rock joints remain scarce

with insufficient consideration of nonlinear deformation characteristics at contact interfa

ces. Therefore

this paper adopts the

g-λ

model to characterize nonlinear normal deformation behavior at filled joint interfaces. Taking into account the influence of the filling layer

the propagation equation of stress waves in filled joints is established by the improved time-domain recursive analysis method. Moreover

a parametric analysis is conducted on the transmission and reflection coefficients of P waves. Through theoretical analysis

it is found that the parameter

is related to the cohesion and internal friction angle of the joints

with increasing

amplifying nonlinear stiffness enhancement rates. The transmission and reflection coefficients of stress waves are quite sensitive to changes in the incident angle. As the incident angle increases

the reflection coefficient of P waves first decreases and then increases. The transmission coefficient of P waves remains relatively stable as the incident angle increases

but drops sharply when the incident angle continues to increase. Overall

changes in the initial normal stiffness of the joint have a significant impact on the transmission and reflection coefficients of P waves

while changes in the tangential of the joint have dominant influence on the transmission and reflection coefficients of S waves. The results provide a theoretical basis for the propagation law of stress waves in the rock masses with filled joints.

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references

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基于g-λ模型的充填节理中P波传播规律分析

Analysis of P-wave propagation in filled joints based on the g-λ model

DOI：10.16152/j.cnki.xdxbzr.2025-03-013

摘要

Abstract

关键词

Keywords

references