Motivated by hydraulic stimulation of enhanced geothermal systems, the present paper investigates the coupled thermo-hydro-mechanical response of a geothermal well imbedded in a thermoporoelastic medium, subjected to a non-isothermal fluid flux and convective cooling on the borehole surface. Our focus centers on the effect of local thermal non-equilibrium (LTNE) on the temporal-spatial evolution of temperatures, pore pressure, and stresses, where the solid and fluid phases have two distinct temperatures and local heat transfer between the two phases is addressed. We employ integral transform and load decomposition techniques to derive analytical solutions in the Laplace domain. This methodology allows us to disentangle and separate the individual contributions to changes in pore pressure and stresses from fluid injection and convective heat transfer. The results reveal that compared to the classical local thermal equilibrium model, the thermally induced pore pressure is slightly lower under LTNE conditions. The LTNE has a significant influence on the temporal evolution of thermally induced stresses, especially in the vicinity of the wellbore.

受增强型地热系统水力刺激的启发，本文研究了埋置在热多孔弹性介质中的地热井的热-水-机械耦合响应，该井受到非等温流体通量和井眼表面对流冷却的影响。我们的重点是局部热非平衡 (LTNE) 对温度、孔隙压力和应力时空演化的影响，其中固相和流体相具有两个不同的温度，并且解决了两相之间的局部传热问题。我们采用积分变换和载荷分解技术来导出拉普拉斯域中的解析解。这种方法使我们能够解开和分离流体注入和对流传热对孔隙压力和应力变化的影响。结果表明，与经典的局部热平衡模型相比，LTNE 条件下的热致孔隙压力略低。 LTNE 对热致应力的时间演化具有显着影响，特别是在井眼附近。