In connection with the analysis of a ground subsidence problem, an analytical solution of consolidation under increasing load and a numerical method for decreasing load were developed. The analytical solution using the compression strain as a variable was simply obtained by means of the theory of conduction of heat and corresponded to the Terzaghi-Frohlich's and Schiffman's solutions. A numerical analysis was carried out, in which the difference in values of modulus of volume compressibility and rebound, as well as, in values of coefficients of consolidation was compared with some analytical approximations.