The Evolution of Pore Water Pressure in a Saturated Soil Layer between Two Draining Zones by Analytical and Numerical Methods

Abib Tall¹, Cheikh Mbow², Daouda Sangaré³, Mapathé Ndiaye¹, Papa Sanou Faye¹

¹Laboratoire de Mécanique et Modélisation, UFR Sciences de l’Ingénieur, Univer-sité de Thiès, Thiès, Sénégal.
²Groupe de Recherches sur les dynamiques des Systèmes et la Mécanique des Fluides, Fac-ulté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar, Sénégal.
³Laboratoire d’Analyse Numérique et d’Informatique, UFR Sciences Appliquées et Technologie, Université.

DOI: 10.4236/ojce.2015.54039                

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.

Keywords

Pore Water Pressure, Primary Consolidation, Saturated Soil, Separated Variables, Finite Element

Conflicts of Interest

The authors declare no conflicts of interest.

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