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<p>This work presents a comprehensive analysis of the coupled thermo-hydro-mechanical (THM) responses of an unlined cylindrical tunnel embedded in a saturated porous medium subjected to transient thermal loading. The tunnel boundary is exposed to thermal shock, while a moving internal heat source is introduced to simulate the progressive penetration of thermal energy. The motivation for this work arises from the need to accurately model heat transfer under short-duration and high-intensity thermal conditions, where classical Fourier-based models fail to capture finite-speed thermal propagation. To address this limitation, the heat transfer process is described using the Moore–Gibson–Thompson (MGT) heat conduction model, which accounts for thermal relaxation and finite-speed heat propagation. The governing equations, comprising momentum balance, fluid mass conservation, Darcy-type flow relations, and generalized heat conduction, are formulated under axisymmetric conditions and solved semi-analytically in the Laplace transform domain. Numerical inversion is employed to obtain transient distributions of temperature, pore pressure, displacement, acceleration, and stress fields. A detailed parametric study is conducted to investigate the effects of time, thermal relaxation parameter, porosity, and heat source velocity on the coupled THM behavior. The results demonstrate that the MGT model predicts attenuated and delayed responses compared to classical models, highlighting the significance of finite-speed thermal effects. These findings provide improved physical insight and practical guidance for the safe design and thermal management of underground tunnels and subsurface engineering systems subjected to transient or moving thermal loads.</p>

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Semi-analytical analysis of a thermo-hydro-mechanical model governed by Moore–Gibson–Thompson heat conduction

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Komal Jangid,
  • Fushen Liu

摘要

This work presents a comprehensive analysis of the coupled thermo-hydro-mechanical (THM) responses of an unlined cylindrical tunnel embedded in a saturated porous medium subjected to transient thermal loading. The tunnel boundary is exposed to thermal shock, while a moving internal heat source is introduced to simulate the progressive penetration of thermal energy. The motivation for this work arises from the need to accurately model heat transfer under short-duration and high-intensity thermal conditions, where classical Fourier-based models fail to capture finite-speed thermal propagation. To address this limitation, the heat transfer process is described using the Moore–Gibson–Thompson (MGT) heat conduction model, which accounts for thermal relaxation and finite-speed heat propagation. The governing equations, comprising momentum balance, fluid mass conservation, Darcy-type flow relations, and generalized heat conduction, are formulated under axisymmetric conditions and solved semi-analytically in the Laplace transform domain. Numerical inversion is employed to obtain transient distributions of temperature, pore pressure, displacement, acceleration, and stress fields. A detailed parametric study is conducted to investigate the effects of time, thermal relaxation parameter, porosity, and heat source velocity on the coupled THM behavior. The results demonstrate that the MGT model predicts attenuated and delayed responses compared to classical models, highlighting the significance of finite-speed thermal effects. These findings provide improved physical insight and practical guidance for the safe design and thermal management of underground tunnels and subsurface engineering systems subjected to transient or moving thermal loads.