The building of the infrastructure on the compressible and saturated soils presents sometimes\nmajor difficulties. The infrastructure undergoes strong settlement that can be due to several phenomena\nof consolidation of the soils. The latter results from the dissipation of the excess pore\npressure and deformation of the solid skeleton. Terzaghi theory led to the equation modeling the\ndissipation of excess pore pressure. The objective of this study is to establish solutions, by analytical\nand numerical method, of the equation of the pore water pressure. We considered a compressible\nsaturated soil layer, between two drainage areas and subjected to a uniform load. Separation\nof variables is used to obtain an analytical solution and the finite element method for the numerical\nsolution. The results obtained by the finite element method have validated those of analytical\nresolution.
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