<p>The transport characteristics of heavy metals within CCL-based liner systems are influenced by variations in temperature and stress, yet the models capable of accounting for these dual effects are comparatively absent and not well developed. Additionally, all the existing theoretical investigations are proposed based on the Darcy’s law and fail to capture the non-Darcian seepage characteristics under coupled thermo-mechanical loading. To this end, the Hansbo’s seepage law and thermo-osmosis are jointly introduced to establish a new coupled one-dimensional model of heavy-metal transport in CCL for the first time. Current model can comprehensively incorporate the interactions between nonlinear consolidation, heat transfer, and contaminant transport. Subsequently, employing the heating and external loading schemes close to engineering reality, the coupled governing equations and numerical solutions are obtained. Then the precision and dependability of the proposed model are corroborated through degeneration analysis and case studies. Furthermore, an in-depth examination for the influence of several crucial factors is carried out. The results reveal that the presence of temperature difference can significantly accelerate the consolidation rate and promote the transport process. As the Soret and thermo-osmosis coefficients rise, the promotional effect of thermal diffusion and advection is enhanced, which becomes more evident with the increasing final temperature. Moreover, the consolidation and transport behavior are greatly influenced by the non-Darcian seepage, and the neglect of which can result in an underestimation for the service life of CCL. Finally, the growth in the final value of external loading can increase the final settlement and retard the transport process. This study advances the understanding and design of CCL-based liner systems, crucial for environmental safety and protection.</p>