A 3-D Mathematical Modeling in Solving Analytical Consolidation Equation in a Homogeneous Saturated Soil

Document Type : Original Paper


1 Department of Water Sciences Engineering, Shahid Chamran University

2 Department of Mathematics, Shahid Chamran University


The drainage length can be artificially decreased using vertical drains where need to accelerate in the consolidation settlement, so that the flow can be drained radially and vertically. In this research, the three dimensional consolidation equation with appropriate boundary conditions was used in cylindrical coordinates, and then was solved analytically. After the analytical solution, analysis of the results was done on using MATLAB software. Moreover, the average degree of consolidation versus time was obtained and compared with the results of one-dimensional method. Findings showed that, the analytical method in this research is in accordance with another numerical method in the previous researches.


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