Numerical Analysis of One-Dimensional Consolidation in Layered Clay Using Interface Boundary Relations in Terms of Infinitesimal Strain
Publication: International Journal of Geomechanics
Volume 11, Issue 1
Abstract
The interface boundary relations are derived in this study for the numerical analysis of one-dimensional consolidation in multilayered clay profiles. The finite difference solutions are formulated based on Mikasa’s consolidation equation with infinitesimal strains and constant consolidation parameters under the same fundamental assumptions and limitations of the classic Terzaghi equation. Numerical examples are presented for multilayer clay profiles under single and double drainage conditions that validate the predicted excess pore pressures, strains, settlements, and rates of consolidation using interface boundary relations in terms of infinitesimal strains that are equivalent to those expressed in terms of excess pore pressures.
Get full access to this article
View all available purchase options and get full access to this article.
References
Forsythe, G. E., and Wasow, W. R. (1960). Finite difference methods for partial differential equations, Wiley, New York.
Gray, H. (1945). “Simultaneous consolidation of contiguous layers of unlike compressible soils.” Transactions, 110, 1327–1344.
Lee, P. K. K., Xie, K. H., and Cheung, Y. K. (1992). “A study on one-dimensional consolidation of layered systems.” Int. J. Numer. Analyt. Meth. Geomech., 16, 815–831.
Mikasa, M. (1963). The consolidation of soft clay—A new consolidation theory and its application, Kajima Institution, Tokyo (in Japanese).
Mikasa, M., Takada, N., Oshima, A., and Kiyama, M. (1998). “Nonlinear consolidation theory for nonhomogeneous clay layers and its application.” Soils Found., 38(4), 205–212.
Schiffman, R. L., and Stein, J. R. (1970). “One-dimensional consolidation of layered systems.” J. Soil Mech. and Found. Div., 96(4), 1499–1504.
Takada, N., and Mikasa, M. (1984). “Consolidation of multi-layered clay.” Proc., Sedimentation Consolidation Models—Predictions and Validation, ASCE, Reston, Va., 216–228.
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Xie, K. H., Xie, X. Y., and Gao, X. (1999). “Theory of one-dimensional consolidation of two-layered soils with partially drained boundaries.” Comput. Geotech., 24, 265–278.
Xie, K. H., Xie, X. Y., and Jiang, W. (2002). “A study on one-dimensional nonlinear consolidation of double-layered soil.” Comput. Geotech., 29, 151–168.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 11 • Issue 1 • February 2011
Pages: 72 - 77
Copyright
© 2011 ASCE.
History
Received: Aug 24, 2009
Accepted: Jan 12, 2010
Published online: Mar 25, 2010
Published in print: Feb 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.