Abstract: Aiming at the engineering practice in special circumstances, one-dimensional consolidation of unsaturated land-based issues under compression is studied considering the boundary conditions that the surface is air infiltration water impermeable and the underside is impermeable. Based on the onedimensional consolidation theory of Fredlund unsaturated soils, appropriate assumptions are made. Applying Laplace transform and the CayleyHamilton theorem to the liquid and vapor control equations, and Darcy’s law and Fick’s law, the transfer function between top of the state vector and any depth of the state vector is constructed. By introducing boundary conditions, excess pore water pressure and excess pore air pressure are derived in the Laplace domain. Using the Crump method, inverse Laplace transform is performed, and a semi-analytical solution to the excess pore water pressure and excess pore air pressure obtained in the time domain. Typical examples are given to show changes in excess poreair pressure, excess porewater pressure and degrees of consolidation with the time under different conditions of airwater coefficient rate of penetration. These results are useful for the research of characteristics of unsaturated soils one-dimensional consolidation.

Key words: degree of consolidation, excess pore air pressure, excess pore water pressure, one-dimensional consolidation, unsaturated soil