Axisymmetric Biot consolidation of a semi-infinite isotropic saturated soil subjected to time-dependent loadings

Based on Biot's consolidation theory, a semi-analytical solution to axisymmetric consolidation of a semi-infinite isotropic saturated soil subjected to time-dependent loadings is presented. By introducing state variable, using the method of Laplace-Hankel transform, the government can be solved. Through some numerical analytical example analysis, some consolidation behaviors in the time domain such as the fluid pressure and discharge are investigated. For the ramp loading case, the Mandel-Cryer effect can be seen when the construction time is little and under the deep of the foundation. For the cyclic loading, there is a negative pore pressure.