Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

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• 作者：Wei Wei ; Rongyue Zheng ; Ganbin Liu ; Haibin Tao
• 刊名：Transport in Porous Media
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：113
• 期：1
• 页码：1-27
• 全文大小：1,366 KB
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634
• 卷排序：113

文摘

Reflection and refraction phenomenon due to an obliquely incident longitudinal wave at a plane interface between an isotropic, homogeneous, thermoelastic medium and a porous thermoelastic medium is studied. Firstly, the generalized thermoelastic theory (G-TE) of wave propagation in a saturated porous thermoelastic medium is developed in the context of the coupled thermoelastic theories of Biot, the theory of generalized thermoelasticity of Lord–Shulman (with one relaxation time) and that of Green–Lindsay (with two relaxation times). Then, the expressions of amplitude ratios of various reflected and refracted waves to that of incident P wave are derived. Numerical results are obtained and used to analyze the difference of reflection amplitude of four kinds of reflection waves, and refraction amplitude of three kinds of refraction waves among the G-TE theory, the Lord–Shulman theory and the Green–Lindsay theory in the case of porous thermoelasticity. The effect of relaxation time \(\tau _{_1} \) and thermal expansion coefficient \(a_\mathrm{s}\) on the reflection and refraction of the incident P-wave is also discussed.KeywordsPorous thermoelasticityWave propagationReflectionRefraction