›› 2017, Vol. 38 ›› Issue (9): 2480-2486.doi: 10.16285/j.rsm.2017.09.003

• 基础理论与实验研究 • 上一篇    下一篇

埋入源下半无限体中瑞利波可激性研究

柴华友1,李天斌2,陈 健2, 3,张电吉1   

  1. 1. 武汉工程大学 资源与土木工程学院,湖北 武汉 430073;2. 成都理工大学 地质灾害防治与地质环境保护国家重点实验室,四川 成都 610059; 3. 华中科技大学 土木工程与力学学院,湖北 武汉 430074
  • 收稿日期:2015-10-03 出版日期:2017-09-11 发布日期:2018-06-05
  • 作者简介:柴华友,男,1965年生,博士,特聘教授,主要从事多相介质动力响应及波动特性方面的研究工作。
  • 基金资助:

    国家自然科学基金面上项目(No.41474113);武汉工程大学人才专项经费资助项目;地质灾害防治与地质环境保护国家重点实验室(成都理工大学)开放基金资助项目(No.SKLGP2013K003)。

Excitability of Rayleigh waves in half spaces under buried sources

CHAI Hua-you1, LI Tian-bin2, CHEN Elton J.2, 3, ZHANG Dian-ji1   

  1. 1. School of Resource and Civil Engineering, Wuhan Institute of Technology, Wuhan, Hubei 430073, China; 2. State Key Laboratory of GeoHazard Prevention & Geoenvironmental Protection, Chengdu University of Technology, Chengdu, Sichuan 610059, China; 3. School of Civil Engineering & Mechanics, Huazhong University of Science & Technology, Wuhan, Hubei 430074, China
  • Received:2015-10-03 Online:2017-09-11 Published:2018-06-05
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (41474113), the Talent Project of Wuhan Institute of Technology and the Opening Fund of State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (Chengdu University of Technology) (SKLGP2013K003).

摘要: 埋入源激发波场分析对岩土工程勘探非常重要。基于模态叠加法给出均匀半无限体中埋入球形膨胀点源激发波场位移表达式,由此研究瑞利波可激性及其传播特性,分析埋入源下瑞利波可激性机制,并通过有限元模拟验证分析方法有效性。结果显示:在均匀半无限体中瑞利波可激性受源埋深与波长比影响,比值越小,瑞利波可激程度越高;当比值大于1时,瑞利波不易激发。与自由状态下以平面波阵面传播的简正瑞利波相比,半无限体中埋入源激发瑞利波速度随传播距离变化, 传播具有空间特性,距中心轴线越近,竖直向质点振动相速度越小,当距离大于一个波长时,激发瑞利波传播特性趋于简正瑞利波。

关键词: 埋入源, 瑞利波, 模态形状, 空间特性, 可激性

Abstract: It is significant to analyze the waves induced by buried sources from the point view of the geoengineering prospecting. Based on the mode superposition method, displacement expressions were presented for waves in the homogeneous half space induced by buried spherical and dilatational point sources. Then the excitability and propagation behavior of Rayleigh waves were investigated, and the mechanism of the excitability was also analyzed. In addition, the reliability of the proposed method was verified by numerical simulations. It is shown that the excitability of Rayleigh waves was related to the ratio of buried depth to the wavelength. It is found that the lower the ratio was, the higher the excitability was. However, Rayleigh wave was not easily activated when the ratio was greater than 1. Compared with the normal Rayleigh waves which propagate in the planar wavefronts in the free state, the phase velocity of Rayleigh waves activated by buried sources varied with the propagation distance. Particularly, the activated Rayleigh waves had the spatial behavior. The nearer the distance from the axis was, the lower the phase velocity of the vertical vibration was. When the distance was beyond one wavelength, the phase velocity of the activated Rayleigh waves approached that of the normal Rayleigh waves.

Key words: buried source, Rayleigh waves, modal shape, spatial behavior, excitability

中图分类号: 

  • TU 452

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