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September 3, 2026International Journal of Numerical Methods for Heat &amp Fluid Flow

Reflection and transmission characteristics of a plane P-wave at the interface between nonlocal thermoviscoelastic saturated porous media

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Authors

XLXuan LiuQMQiang MaFZFengxi Zhou

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Overview

Analytical study demonstrates how thermal and nonlocal parameters govern P-wave mode conversion across porous media interfaces, indicating mechanisms for subsurface acoustic wave dissipation.

Key Points

  • To clarify the reflection and transmission behavior of interfacial waves in saturated porous media under the coupled effects of thermal conduction, viscoelastic dissipation, and nonlocality.
  • Formulated an analytical reflection-transmission model for a plane P-wave incident on the interface between two saturated porous media based on nonlocal thermoviscoelastic theory.
  • Derived analytical expressions for amplitude ratios and energy reflection coefficients across all reflected and transmitted wave modes.
  • Systematically evaluated the parametric effects of incident angle, wave frequency (including f = 1,000 Hz), relaxation time, temperature, permeability, and nonlocal parameters.
  • Increasing the incident angle weakens normal energy transmission across the interface and promotes conversion of the incident P-wave into slow compressional (P2) and shear waves.
  • At f = 1,000 Hz, inertial coupling enhances the P2-wave response, whereas higher frequencies and temperatures strengthen thermal wave transmission and attenuate shear waves via viscoelastic dissipation and viscous damping.
  • Nonlocal parameters and permeability selectively regulate slow compressional and shear modes, enhancing transmitted P2 waves while leaving fast compressional (P1) waves largely unaffected.

Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/6a9935f3636c6408cfa7ea62https://doi.org/10.1108/hff-04-2026-0548
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