SV波在饱和多孔热弹性介质平面界面上的反射

郑荣跃; 刘干斌; 邓岳保; 陶海冰

SV波在饱和多孔热弹性介质平面界面上的反射 English Version

1. 宁波大学建筑工程与环境学院,浙江宁波 315211; 2. 浙江大学岩土工程研究所,浙江杭州 310027

基金项目: 国家自然科学基金项目（51278256,51178227）

详细信息

作者简介:
郑荣跃(1964- )，男，浙江宁波人，教授，从事多物理场土力学方的研究。E-mail: Liugb76@163.com。

中图分类号: TU94；U213
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出版历程
- 收稿日期: 2013-07-16
- 发布日期: 2013-11-24

Reflection of SV waves at interface of saturated porous thermo-elastic media

1. College of Civil, Construction and Environmental Engineering, Ningbo University, Ningbo 315211, China; 2. Institution of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China

摘要

摘要: 基于Biot波动理论,建立了饱和多孔热弹性波动方程,研究了SV波在平面界面上的反射问题。在排水和不排水条件下,推导了饱和多孔介质自由边界上P₁波、P₂波、T波及S波反射系数的表达式。通过算例讨论了频率和排水条件对4种波反射系数的影响,结果表明：P₁波中出现明显的低频放大作用,不排水工况更为明显；P₂波反射系数较小,且随频率增大而增大；相对于P,S波,T波的反射系数较小。
- SV波 /
- 饱和多孔 /
- 热弹性介质 /
- 反射
Abstract: Based on the Biot's wave theory, a thermal elastic wave equation for saturated porous media is established, and reflection of SV waves at the interface of the plane is analyzed. According to the boundary conditions, theoretical expressions for four kinds of reflection waves on the free boundaries are derived, including p₁ waves, p₂ waves, T-wave and S-wave. The numerical results are obtained and used to discuss the relationship of reflection amplitude for four kinds of reflection waves under frequency and drainage conditions. It is indicated that there is apparent low frequency amplification for p₁ waves, and it is obvious in impermeable case. The reflection rate of p₂ waves is little and increases with the increase of the frequency. There is less reflectivity of T-wave.
- SV wave /
- saturated porosity /
- thermo-elasticity medium /
- reflection

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参考文献(10)

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