非饱和热黏弹性介质中波的传播特性研究

万朔; 马强; 周凤玺; 张添渊

doi:10.16285/j.rsm.2025.0302

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非饱和热黏弹性介质中波的传播特性研究

基础理论与实验研究 | 更新时间：2026-07-06

- 非饱和热黏弹性介质中波的传播特性研究
- Characterization of wave propagation in unsaturated thermo-viscoelastic porous media
- 岩土力学 2026年47卷第3期
- 作者机构：
  
  1. 青海大学土木水利学院,青海,西宁,810016
  2. 青海省建筑节能材料与工程安全重点实验室,青海,西宁,810016
  3. 西安理工大学岩土工程研究所,陕西,西安,710048
  4. 兰州理工大学土木工程学院,甘肃,兰州,730050
- 作者简介：
- 基金信息：
  
  国家自然科学基金项目（No.52168053，No.52108342）;青海省自然科学基金面上基金（No.2024-ZJ-922）;西安理工大学博士启动金（No.107-451122001）;青海大学科研实力提升项目（No.2025KTSQ20）
- DOI：10.16285/j.rsm.2025.0302
  中图分类号：
- 网络首发：2026-03-18，
  
  纸质出版：2026
- 稿件说明：
移动端阅览
万朔, 马强, 周凤玺, 等. 非饱和热黏弹性介质中波的传播特性研究[J]. 岩土力学, 2026,47(3).

WAN Shuo, MA Qiang, ZHOU Feng-xi, et al. Characterization of wave propagation in unsaturated thermo-viscoelastic porous media[J]. 2026, 47(3).
万朔, 马强, 周凤玺, 等. 非饱和热黏弹性介质中波的传播特性研究[J]. 岩土力学, 2026,47(3). DOI： 10.16285/j.rsm.2025.0302.

WAN Shuo, MA Qiang, ZHOU Feng-xi, et al. Characterization of wave propagation in unsaturated thermo-viscoelastic porous media[J]. 2026, 47(3). DOI： 10.16285/j.rsm.2025.0302.

摘要

基于非饱和多孔热弹性介质的波动理论，考虑了土骨架的黏性和热效应的影响，利用Kelvin-Voigt黏弹性模型、多孔黏弹性介质的运动方程以及广义热弹性理论，建立非饱和热黏弹性介质的波动方程。通过引入各相介质的位移势函数，推导得到了非饱和多孔热黏弹性介质中体波的弥散特征方程。采用数值计算分析了松弛时间、热传导系数、介质温度、固相比热和饱和度等热物性参数对热弹性波的波速和衰减系数的影响规律。研究结果表明：松弛时间每增加0.5×10 s，波的波速和衰减系数最大增加了2.93%和44.51%，S波的波速和衰减系数最大增加了17.49%和51.32%，而T波的波速和衰减系数最大减小了25.4%和20.3%。热传导系数仅对T波的波速和衰减系数产生影响，热传导系数每增大1 J/(m·s·K)，T波的波速增大了21.62%，衰减系数减小了6.83%；介质温度每增加20 K，P波的波速增大了0.3%，衰减系数减小了0.2%；固相比热的增大将引起P波和T波波速的逐渐增大。饱和度对P波、P波和S波的波速影响显著，随饱和度从0.99降低至0.40，P波波速最大提高15.6%、P波波速最大提高4.4倍，S波波速最大提高6.5%。

Abstract

Based on the wave theory of unsaturated porous elastic media

a wave equation for unsaturated porous thermo-viscoelastic media is established by considering the viscosity of the soil skeleton and thermal effects

and utilizing the Kelvin-Voigt viscoelastic model

the equations of motion for unsaturated porous viscoelastic media

and the generalized thermoelasticity theory. By introducing displacement potential functions for each constituent phase

the dispersion characteristic equations for body waves in unsaturated porous thermo-viscoelastic media are derived. Numerical calculations are performed to analyze the influence of thermophysical parameters

such as relaxation time

thermal conductivity

medium temperature

specific heat capacity of the solid phase

and saturation

on the wave velocity and attenuation coefficient of thermo-viscoelastic waves. The results show that for every 0.5×10⁻³ s increase in relaxation time

the velocities and attenuation coefficients of the P wave increase by up to 2.93% and 44.51%

respectively; those of the S wave increase by up to 17.49% and 51.32%

respectively; while the velocity and attenuation coefficient of the T wave decrease by up to 25.4% and 20.3%

respectively. The thermal conductivity coefficient only affects the T-wave velocity and attenuation coefficient. For every 1 J/(m·s·K) increase in thermal conductivity

the T-wave velocity increases by 21.62% and its attenuation coefficient decreases by 6.83%. For every 20 K increase in medium temperature

the P1-wave velocity increases by approximately 0.3% and its attenuation coefficient decreases by approximately 0.2%. An increase in the specific heat of the solid phase causes the wave velocities of both the P1-wave and the T-wave to gradually increase. Saturation has a significant effect on the wave velocities of P

and S waves. When the saturation decreases from 0.99 to 0.4

the wave velocities of the P and S waves increase by up to 15.6% and 6.5%

respectively

and the wave velocity of the P wave increases by up to 4.4 times.

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