• Four thermal contact models were developed to predict thermal contact resistance at the interface of multilayered saturated soils.
• Semi-analytical solutions for thermal consolidation under time-dependent heating and loading were derived using Laplace transform techniques.
• The general thermal contact model produces the most significant thermal gradient at the interface, while the perfect contact model overestimates deformation.
• Increasing interfacial thermal contact resistance diminishes the influence of temperature on consolidation behaviour.