One-dimension consolidation of soil layer with the soil properties as a power function of depth

The analytical solution to the one-dimension consolidation governing equation of soil layer was deduced by use of separation of variables when the laws of permeability and compressibility coefficients with depth can be expressed as power functions. The analytical expressions of excess pore pressure isochrones and settlement-to-time relations were obtained for different drainage boundary conditions under arbitrary loading. A series of cases were presented for analyzing the law of the excess pore pressure isochrones and settlement-to-time relations when those non-homogeneous soil consolidated.