Abstract
The building of the infrastructure on the compressible and saturated soils presents sometimes major difficulties. The infrastructure undergoes strong settlement that can be due to several phenomena of consolidation of the soils. The latter results from the dissipation of the excess pore pressure and deformation of the solid skeleton. Terzaghi theory led to the equation modeling the dissipation of excess pore pressure. The objective of this study is to establish solutions, by analytical and numerical method, of the equation of the pore water pressure. We considered a compressible saturated soil layer, between two drainage areas and subjected to a uniform load. Separation of variables is used to obtain an analytical solution and the finite element method for the numerical solution. The results obtained by the finite element method have validated those of analytical resolution.
Highlights
The study of settlements problems of structures built on compressible and saturated soils is generally performed on the basis of theory of the one-dimensional consolidation of Terzaghi [1]
This research has been enabled to study the evolution of pore water pressure in a compressible and saturated soil layer, between two draining areas subjecting a uniform loading on the surface
The examination of the analytical solution is obtained by the separate variables method validated by the finite element method; let’s say that the results are satisfactory for the resolution of the problems of primary consolidation
Summary
The study of settlements problems of structures built on compressible and saturated soils is generally performed on the basis of theory of the one-dimensional consolidation of Terzaghi [1]. The analysis of the exact solution of the fundamental equation of this theory has aroused many research works among which those of Francesco [2]. How to cite this paper: Tall, A., Mbow, C., Sangaré, D., Ndiaye, M. and Faye, P.S. (2015) The Evolution of Pore Water Pressure in a Saturated Soil Layer between Two Draining Zones by Analytical and Numerical Methods. Work of Ndiaye [3] showed a solution of the equation by the transform of Fourier. Callaud [4] solved the problem with the transform of Laplace. The comparison of the results to those obtained previously had presented offsets
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