According to the equal strain axisymmetric consolidation theory of sand-drained foundation developed by Xie and Hansbo

analytical solutions to the axisymmetric consolidation equation with bottom vacuum preloading are derived in this study as the vertical water flow in soil is neglected for the actual loading boundary condition that the vacuum preloading locates at the bottom. Based on the analytical solution formation process of excessive pore pressure axisymmetric consolidation control equation

a comparison between this new developed model and the current solution is carried out gradually. In comparison of the new model outputs and the experimental results by laboratory test

the excessive pore pressure distribution in vertical direction and the consolidation ratio development trends for excessive pore pressure dissipation can be obtained by the new developed analytical model

and it also can be concluded that the calculated results show a good agreement to the laboratory and site experimental results. Therefore

the analytical solution can be further applied to practical engineerings as basic theoretical foundation

which also promotes the application of bottom vacuum preloading method in soft foundation reinforcement engineering.