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


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.

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Tall, A. , Mbow, C. , Sangaré, D. , Ndiaye, M. and Faye, P. (2015) The Evolution of Pore Water Pressure in a Saturated Soil Layer between Two Draining Zones by Analytical and Numerical Methods. Open Journal of Civil Engineering, 5, 390-398. doi: 10.4236/ojce.2015.54039.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Terzaghi, K. (1943) Theoretical Soil Mechanics. Wiley, New York.
[2] Di Francesco, R. (2011) Exact Solution to Terzaghi’s Consolidation Equation. Wizard Technology, Teramo, Italy.
[3] Ndiaye, B. (1996) Application de la transformée de Fourier à la résolution de problèmes de couplage hydromécanique. D.E.A de l’Ecole Nationale des Mines de Nancy.
[4] Tchouani Nana, J.M. and Callaud, M. (2004) Cours de mécanique des sols. Tome 1, 120.
[5] Schiffman, R.L. (1958) Consolidation of Soil under Time Dependent Loading and Varying Permeability. Proceedings of the Thirty-Seventh Annual Meeting of the Highway Research Board, Washington DC, 6-10 January 1958, 584-617.
[6] Legrand, J. and Schlosser, F. (1973) Embankment on Compressible Soil. Society of Civil Engineers, 98, 285-312.
[7] Skempton, A.W. and Bjerrum, L. (1957) A Contribution to the Settlement Analysis of Foundations on Clay. Géotechnique, 7, 168-178.
[8] Braja, M.D. (2008) Advanced Soils Mecanics. 3rd Edition, Taylor & Francis, New York.
[9] Magnan, J.P. (2000) Déformabilité des sols. Tassement. Consolidation, Technique de l’Ingénieur, C 214.
[10] Merriem, J.L. (2007) Numerical Analysis with Matlab. INSA, Rennes, 200-204.
[11] Goncalvès, E. (2005) Résolution Numérique. Discrétisation des EDP et EDO, Institut National Polytechnique de Grenoble, Grenoble.
[12] Dhatt, G. and Touzot, G. (1981) A Presentation of the Finite Element Method. International Journal for Numerical Methods in Geomechanics Analytical, 5, 1-14.

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