In this paper, a general interfacial thermal contact model is proposed to investigate the heat conduction characteristics at the interface of bilayered saturated soils. The semianalytical solutions of thermal consolidation of the bilayered saturated soils considering thermo-osmosis effect under ramp-type heating are derived by using the Laplace transform. Then, the expressions of the temperature increment, excess pore water pressure, and displacement are obtained in time domain by using the Crump's method. Comparisons are performed to verify the rationality of the obtained solutions, and the influences of contact transfer coefficient, partition coefficient, and the thermo-osmosis coefficient on the thermal consolidation of the bilayered saturated soil are illustrated and discussed. Neglecting the thermal contact resistance would overestimate the thermal consolidation behavior of the bilayered saturated soils. The calculated excess pore water pressure and displacement considering thermo-osmosis effect are much larger than those without thermo-osmosis effect.

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The deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and thermo-osmosis to simulate viscoelastic characteristics of marine clay. The excess pore pressure, temperature increment, and displacement of marine clay are derived by using the Laplace transform method, and the semianalytical solution for the one-dimensional thermal consolidation in the time domain is derived by using a numerical inversion of the inverse Laplace transform. The influence of the order of the fractional derivative, material parameters, and phenomenological coefficient on thermal consolidation is investigated based on the present solutions. It is shown that the influence of the fractional derivative parameter on the excess pore pressure and displacement of marine clay depends on the properties of soil mass, and the temperature increment has an obvious effect on the thermal filtration and thermo-osmosis process.