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地震 ›› 2010, Vol. 30 ›› Issue (3): 90-96.

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热弹性波在层状介质中传播的一类反射问题的解

胡顺田, 张丽娟, 李瑞东, 张艳芳, 张梅东, 杨建, 熊仲华, 赵永安   

  1. 防灾科技学院, 河北 三河 065201
  • 收稿日期:2009-08-03 修回日期:2010-03-02 发布日期:2021-10-18
  • 作者简介:胡顺田(1963-), 男, 河北雄县人, 副教授, 主要从事数学教学和应用等研究。
  • 基金资助:
    防灾科技学院防灾减灾青年科技基金项目(2008A06)

Solution of the First Category Reflection Problem of thermoelastic Wave Propagating in Stratified Medium

HU Shun-tian, ZHANG Li-juan, LI Rui-dong, ZHANG Yan-fang, , ZHANG Mei-dong, YANG Jian, XIONG Zhong-hua, ZHAO Yong-an   

  1. Institute of Disaster Prevention Science and Technology, HeBei Sanhe 065201, China
  • Received:2009-08-03 Revised:2010-03-02 Published:2021-10-18

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摘要： 本文作为基础理论研究, 从热弹性波方程组出发, 求出了热弹性波在层状介质中传播的解析解, 并给出了热弹性波对于平面夹层的反射波, 透射波及其伴随的具有相同传播速度的温度波。此时, 反射系数、 透射系数均为复数表明, 反射波、 透射波的振幅及相位都受介质的物性参数、 夹层厚度及入射波频率的影响。这些与弹性波不同的结果会在地震勘探、 地震工程等有关问题的研究中得到应用。

关键词: 热弹性波, 层状介质, 复反射系数, 复透射系数

Abstract: As a basic theoretical research, this article started from the thermoelasticity wave equations and extracted the analytical solutions of thermoelasticity wave propagating in stratified medium. We give the reflected wave and transmission wave of thermoelasticity wave affecting on the interlayer, and temperature wave with the same propagation velocity. Here the reflection coefficient and transmission coefficient are complex, which show that in this case, the amplitudes and phases of reflected wave and transmission wave are affected by physical property parameter, thickness of the interlayer and the frequency of incident wave. These different results from the elastic waves can be applied in seismic exploration, earthquake engineering and other related issues.

Key words: Thermoelasticity wave, Stratified medium, Complex reflection coefficient, Complex transmission coefficient

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