The one-dimensional consolidation problem is studied based on principles of Liebmann’s resistance network method. A Matlab procedure is programmed to analyze pore water pressure in saturated soils. Details about the similarity between voltage in resistance network and excess pore water pressure in consolidation phenomena are presented. A Matlab procedure is used to simulate the single and double-drainage one dimensional consolidation problem respectively. It is shown that the simulation is practically perfect compared with the consolidation solution. The differences between analog results and analytical solutions under effects of variable ?t and the fine level of meshing ?z are analyzed and discussed. It is suggested that the smaller value of ? the more obvious of convergence and accurate of the analog. It is considered that the applications of Liebmann’s resistance network can be extended to more complex situation.