Considering the rheological properties of soft clay and the engineering practice

the continuous boundary condition is applied to construct a one-dimensional consolidation model for viscoelastic foundation under time-dependent loading condition. The analytic solution for one-dimensional consolidation of saturated soft clay under time-dependent loading and continuous drainage boundary is solved by using separation of variables and variation of constants methods. Furthermore

influences of boundary conditions and soil parameters on excess pore water pressure and effective stress are studied. It is found that the variation of excess pore water pressure is directly influenced by permeability of upper-and lower-boundary. The consolidation rate is larger at the location closer to the boundary with higher permeability

and with decreasing the distance from drainage boundary

the influence on consolidation rate increases gradually. Moreover

the effective stress is significantly influenced by permeability coefficient

elastic modulus of Kelvin model and viscosity coefficient.