Abstract Thermo-osmosis effect is defined as the additional fluid flux caused by the thermal gradient in the porous medium and has recently received much attention in thermally coupled processes of soils and rocks, such as the geological disposal of nuclear waste. However, majority of research studies on thermo-osmosis flow have considered plane-strain conditions which disregard the local thermal expansion and contraction due to finite-dimension loadings. In this paper, we have extended the three-dimensional porothermoelastic model with the thermo-osmosis effect under axisymmetric thermal loadings. With the Laplace-Hankel transform, we obtain the explicit expressions of the temperature, pore pressure, stresses and displacements in the transformed domain. After the verification of this model against analytical and experimental results, we carry out the case study of a disk thermal loading placed at the surface of half space. The thermo-osmosis effect can increase the maximum value of the non-uniform pore pressure caused by the finite-dimension thermal loading. After the dissipation of pore pressure, the driving force from the thermo-osmosis effect can maintain the osmotic flux near the thermal loading. These results show that the thermo-osmosis effect is important to the porothermoelastic behaviors of porous media but is mainly limited to the vicinity of the finite-dimension loading.

中文翻译：

---

轴对称热载荷下饱和多孔介质多孔热弹性响应中的热渗透效应分析研究

摘要 热渗透效应被定义为由多孔介质中的热梯度引起的额外流体通量，最近在土壤和岩石的热耦合过程中受到了广泛关注，例如核废料的地质处置。然而，大多数关于热渗透流的研究都考虑了平面应变条件，而忽略了由于有限维载荷引起的局部热膨胀和收缩。在本文中，我们扩展了具有轴对称热载荷下热渗透效应的三维多孔热弹性模型。通过拉普拉斯-汉克尔变换，我们获得了变换域中温度、孔隙压力、应力和位移的显式表达式。在根据分析和实验结果验证该模型后，我们对放置在半空间表面的磁盘热负载进行了案例研究。热渗透效应可以增加有限维热载荷引起的非均匀孔隙压力的最大值。孔隙压力消散后，热渗透效应的驱动力可以将渗透通量保持在热负荷附近。这些结果表明热渗透效应对多孔介质的多孔热弹性行为很重要，但主要限于有限维载荷附近。热渗透效应的驱动力可以将渗透通量保持在热负荷附近。这些结果表明，热渗透效应对多孔介质的多孔热弹性行为很重要，但主要限于有限维载荷附近。热渗透效应的驱动力可以将渗透通量保持在热负荷附近。这些结果表明，热渗透效应对多孔介质的多孔热弹性行为很重要，但主要限于有限维载荷附近。