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Following the assumptions proposed by Davis and Raymond, an analytical solution for one-dimensional nonlinear consolidation of double-layered soil under constant loading is derived by introducing an improved continuous drainage boundary condition. The effectiveness of the present solution is assessed by comparing against other existing analytical solutions and laboratory consolidation test results. A parametric study is then conducted to investigate the consolidation behaviour of double-layered soil for different interface parameters or stress ratios (i.e. final effective pressure over initial effective pressure,  N σ). The results show that, the average consolidation degree defined by soil settlement  Us  increases with the increase of  Nσ , and the average consolidation degree defined by excess pore water pressure  Up  decreases with the increase of  N σ. The magnitude of  Us  is always larger than  Up , and the difference between  Us  and  Up  increases with the increase of  N σ. Compared with the Xie's solution, the stress ratio  N σhas little effect on  Up  in the solution with continuous drainage boundary condition.

Analytical solution for one-dimensional nonlinear consolidation of double-layered soil with improved continuous drainage boundary