Analytical Analysis of Two - Dimensional Consolidation of Soil

Ohioze Osemobor, Ebuka Nwankwo, Solomon Iyeke, Adedayo Aladenika


Consolidation is the gradual reduction in volume of a saturated soil due to drainage of some of the pore water, the process continuing until the excess pore water pressure set up by an increase in total stress has completely dissipated; the most common case is that of one dimensional consolidation. In reality, the Terzaghi’s 1-dimensional consolidation theory has been found to be highly conservative and at best only an estimation of the actual consolidation. Accurately predicting consolidation in soil has led to the development of 2-dimensional consolidation solutions. In this paper analytical solution (using the separation of variables method) have been provided for 2-dimensional consolidation equation.


Consolidation; Two-dimensional; Pore water pressure; Analytical method, Soil.

Full Text:



. K. R Arora. Consolidation of soil in Soil Mechanics and Foundation Engineering, 6th edition, A.K Jain, Nai Sarak, Delhi, 2004, pp. 256 - 305

. R.D. Francesco. “Exact Solution of Terzaghi’s Consolidation Equation and Extension to Two/Three-Dimensional Cases” Applied Mathematics, volume 4, pp. 713-717. 2013

. L. Ho, B. Fatahi,. “Analytical solution for the two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading” Compute Geotech, 67, pp. 1–16 Aug 2015

. L. Ho, B. Fatahi, H. Khabbaz, “A closed form analytical solution for two-dimensional plane strain consolidation of unsaturated soil stratum”. Int. J. Number. Anal. Met. Geomech. vol 39, pp. 1665–1692. 2015

. S. Inoue. “An Example of Two-dimensional Consolidation Testing and Numerical Procedures for Embankment Materials” Irrigation Engineering and Rural Planning No.21, pp. 4-14. 1991

. F. Oka, Adachi, Y. Okano. “Two-Dimensional Consolidation Analysis Using an Elasto-Viscoplastic Constitutive Equation” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 10, pp. 1- 16. Aug 1986.

. J.Q. Su, Z. Wang. Two-dimensional consolidation theory of electro-osmosis. Geotechnique vol 53, no. 8, pp 759–763. Jan 2003.

. S.S. Razouki, A.A. Al-Zayadi. “Design Charts for 2D consolidation under time-dependent Embankment Loading” Quarterly Journal of Engineering Geology and Hydrogeology, vol 36, pp. 246-260, Apr 2003.


  • There are currently no refbacks.




About ASRJETS | Privacy PolicyTerms & Conditions | Contact Us | DisclaimerFAQs 

ASRJETS is published by (GSSRR).