Analysis of propagation behavior of Rayleigh waves activated by surface sources

CHAI Hua-you; KE Wen-hui; HUANG Xiang-guo; LI Zhong-chao; LI Tian-xiang

doi:10.16285/j.rsm.2017.02.003

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Analysis of propagation behavior of Rayleigh waves activated by surface sources

更新时间：2026-06-25

- Analysis of propagation behavior of Rayleigh waves activated by surface sources
- Vol. 38, Issue 2, Pages: 325-332(2017)
- 作者机构：
  
  1. 武汉工程大学资源与土木工程学院,湖北,武汉,430073
  2. 武汉市市政建设集团有限公司,湖北,武汉,430023
  3. 清华大学土木工程系,北京,100084
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2017.02.003
  CLC： O451
- Online First：05 June 2018，
  
  Published：2017
- 稿件说明：
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CHAI Hua-you, KE Wen-hui, HUANG Xiang-guo, et al. Analysis of propagation behavior of Rayleigh waves activated by surface sources[J]. 2017, 38(2): 325-332.
DOI：

CHAI Hua-you, KE Wen-hui, HUANG Xiang-guo, et al. Analysis of propagation behavior of Rayleigh waves activated by surface sources[J]. 2017, 38(2): 325-332. DOI： 10.16285/j.rsm.2017.02.003.

摘要

自由状态下层状介质中平面瑞利波相速度与频率及层状介质特性参数有关，表面源激发的瑞利波以柱面波阵面传播，传播速度不仅与频率有关，而且还与传播距离有关，这样，自由状态下层状介质中平面瑞利波传播特性理论不能有效地用于激发瑞利波相速度分析。以薄层法得到的圆盘状表面垂直源激发瑞利波位移响应为基础，导出激发瑞利波相速度，比较激发模态与简正模态相速度差异，分析激发模态空间特性，揭示这种空间特性形成机制。结果表明：源对激发模态传播影响距离不超过一个波长，波场距源越近，激发模态竖直振动传播速度越低；在多模波场，激发模态间相长相干或相消相干导致表观相速度具有较明显的空间特性。该研究可为发展考虑瑞利波频率及空间特性反演数学模型及算法提供指导。

Abstract

In the free state

the phase velocity of the planar Rayleigh waves in layered media is related to the frequency and the material properties of media. Rayleigh waves activated by the surface sources propagate with cylindrical wave-fronts. The phase velocity is related to the travelling distance as well as the frequency. Thus

without taking the spatial behavior into consideration

the theory of the planar Rayleigh waves in layered media can not be appropriately applied to analyzing the propagation behavior of the activated Rayleigh waves. Based on the displacement of Rayleigh waves obtained by the thin layer method for the disk-like vertical surface sources

the phase velocities of the activated Rayleigh waves are derived. The difference between the activated and the normal Rayleigh waves is compared. The spatial behavior of activated modes is analyzed and its mechanism is investigated. The results show that the effect of sources on the spatial behavior of activated modes is confined within the wave field about one wavelength from the sources. The nearer the wave field is

the slower the phase velocity of vertical vibration is. In the wave field with multiple activated modes

the spatial behavior of apparent phase velocity is obvious due to the constructive and destructive interferences of these modes. The study results can provide some guidelines for developing new inverse mathematical models and algorithms which could include both the frequency behavior and the spatial behavior.

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