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http://dx.doi.org/10.12989/gae.2014.6.1.047

One-dimensional consolidation with asymmetrical exponential drainage boundary  

Mei, Guo-Xiong (College of Transportation Engineering, Nanjing University of Technology)
Lok, Thomas M.H. (Faculty of Science and Technology, University of Macau)
Xia, Jun (College of Transportation Engineering, Nanjing University of Technology)
Wu, Sheng Shen (Faculty of Science and Technology, University of Macau)
Publication Information
Geomechanics and Engineering / v.6, no.1, 2014 , pp. 47-63 More about this Journal
Abstract
In this paper, asymmetric drainage boundaries modeled by exponential functions which can simulate intermediate drainage from pervious to impervious boundary is proposed for the one-dimensional consolidation problem, and the solution for the new boundary conditions was derived. The new boundary conditions satisfy the initial and the steady state conditions, and the solution for the new boundary conditions can be degraded to the conventional solution by Terzaghi. Convergence study on the infinite series solution showed that only one term in the series is needed to meet the precision requirement for larger degree of consolidation, and that more terms in the series for smaller degree of consolidation. Comparisons between the present solution with those by Terzaghi and Gray are also provided.
Keywords
Terzaghi's one-dimensional consolidation equation; exponential drainage boundary;
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