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含多种尺寸缺陷岩体中的弹性波散射

谭子翰 徐松林 刘永贵 席道瑛

谭子翰, 徐松林, 刘永贵, 席道瑛. 含多种尺寸缺陷岩体中的弹性波散射[J]. 应用数学和力学, 2013, 34(1): 38-48. doi: 10.3879/j.issn.1000-0887.2013.01.005
引用本文: 谭子翰, 徐松林, 刘永贵, 席道瑛. 含多种尺寸缺陷岩体中的弹性波散射[J]. 应用数学和力学, 2013, 34(1): 38-48. doi: 10.3879/j.issn.1000-0887.2013.01.005
TAN Zi-han, XU Song-lin, LIU Yong-gui, XI Dao-ying. Scattering of Elastic Waves by Multi-Size Defects in Rock Mass[J]. Applied Mathematics and Mechanics, 2013, 34(1): 38-48. doi: 10.3879/j.issn.1000-0887.2013.01.005
Citation: TAN Zi-han, XU Song-lin, LIU Yong-gui, XI Dao-ying. Scattering of Elastic Waves by Multi-Size Defects in Rock Mass[J]. Applied Mathematics and Mechanics, 2013, 34(1): 38-48. doi: 10.3879/j.issn.1000-0887.2013.01.005

含多种尺寸缺陷岩体中的弹性波散射

doi: 10.3879/j.issn.1000-0887.2013.01.005
基金项目: 国家自然科学基金资助项目(11272304;11102206)
详细信息
    作者简介:

    谭子翰(1987—),男,湖南涟源人,学士,硕士生(通讯作者.Tel:+865513601249; E-mail:slxu99@ustc.edu.cn).

  • 中图分类号: P313.1

Scattering of Elastic Waves by Multi-Size Defects in Rock Mass

  • 摘要: 研究了含多种尺寸扁平椭圆缺陷的岩体中弹性波散射规律.细观上应用Green函数方法,考虑了入射波与基本的扁平椭圆缺陷相互作用,宏观上采用线性叠加原理,得到了缺陷岩体的频散和衰减规律.频散曲线中特征频率与裂纹尺寸负相关.含几种不连续尺寸裂纹的岩体中其频散曲线呈"阶梯跳跃"形,其衰减曲线也有不同的峰值;而含"均匀分布"与"正态分布"裂纹尺寸的岩体,与含单一尺寸缺陷的岩体相比,其频散曲线具有较宽的特征频率段.结合两个声波测试实例,讨论了这一理论模型的合理性与可行性.
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出版历程
  • 收稿日期:  2012-07-24
  • 修回日期:  2012-11-28
  • 刊出日期:  2013-01-15

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