基于弹性波理论,建立应力波入射滑移节理的数值模拟模型,并计算应力波的透射系数、反射系数和吸收系数,并据此研究应力波垂直入射滑移节理的传播特性。研究表明:纵波垂直入射滑移节理的传播特性主要受节理面的抗拉强度影响,当纵波产生的拉应力大于抗拉强度的瞬间,节理面产生分离而破坏,透射波瞬间消失,反射波增强,吸收能量增加,发生全反射;剪切波垂直入射滑移节理的传播特性主要受节理面的切向刚度与抗剪强度、等效切向刚度乘积的比值λ的影响,随着λ增大,反射波逐渐增强,透射波逐渐减弱,吸收能量先增大后减小,当λ足够大时,应力波在节理面处发生全反射而不产生透射。
Abstract
Based on the elastic wave theory, the numerical simulation model of stress waves across slipping joint has been built, and transmission, reflection and absorption coefficients are calculated to analyze the propagation characteristics of stress waves. Results show that propagation characteristics of normal incident longitudinal wave are affected by joint’s tensile strength, and if the tensile stress produced on the joint by normal incident longitudinal wave exceeds the tensile strength, the interface will separate, transmitted wave disappears instantaneously, and then total reflection occurs, with the reflected wave and absorbed energy increasing. The propagation characteristics of normal incident shear wave are affected by the ratio of tangential joint stiffness and the product of shear strength and normalized tangential joint stiffness. With the increasing of the ratio, the reflection coefficient increases, transmission coefficient decreases, and absorption coefficient increases at first and then decreases, then ends with total reflection.
关键词
应力波传播 /
滑移节理 /
反射系数 /
透射系数 /
吸收系数 /
能量 /
数值模拟
Key words
stress waves propagation /
slip joint /
reflection coefficient /
transmission coefficient /
absorption coefficient /
energy /
numerical simulation
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参考文献
[1] PYRAK-NOLTE L J, MYER L R, COOK N G W. Transmission of Seismic Waves Across Single Natural Fractures[J]. Journal of Geophysical Research, 1990, 95(B6):8617-8638.
[2] LI J, MA G. Analysis of Blast Wave Interaction with a Rock Joint[J]. Rock Mechanics and Rock Engineering, 2010, 43(6): 777-787.
[3] 杨风威, 李海波, 李建春, 等. 斜入射线弹性节理应力波传播特征的数值模拟[J]. 岩土力学, 2013, 34(3):901-907.
[4] 刘立波, 李建春, 李海波, 等. 应力波斜入射黏弹性节理的传播规律[J]. 岩石力学与工程学报, 2012, 31(增2): 3593-3598.
[5] 刘婷婷, 李建春, 李海波, 等. 应力波通过非线性平行节理的能量分析[J]. 岩石力学与工程学报, 2013, 32(8): 1610-1617.
[6] LI J C, MA G W, ZHAO J. An Equivalent Viscoelastic Model for Rock Mass with Parallel Joints[J]. Journal of Geophysical Research: Solid Earth, 2010, 115(B3).DOI:10.1029/2008JB006241.
[7] 李建春, 李海波, MA G W, 等. 节理岩体的一维动态等效连续介质模型的研究[J]. 岩石力学与工程学报, 2010, 29(增2): 4063-4067.
[8] 宋 林, 邵珠山, 吴敏哲,等. 考虑剪切滑移效应时节理岩体中剪切S波的传播特性探析[J]. 西安建筑科技大学学报(自然科学版), 2011, 43(4):494-500.
[9] 王 帅, 盛 谦, 朱泽奇, 等. 频域分析方法在层状节理岩体波动问题中的应用[J]. raybet体育在线
院报, 2013, 30(4): 62-66.
[10]卢文波. 应力波与可滑移岩石界面间的相互作用研究[J]. 岩土力学, 1996, 17(3):70-75.
[11]LYSMER J, KUHLEMEYER R L. Finite Dynamic Model for Infinite Media[J]. Journal of the Engineering Mechanics Division, 1969,95(4):859-877.
基金
国家自然科学基金青年科学基金项目(51309026)
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