TECHNICAL PAPERS
Oct 1, 1983

Consolidation Curves for Clays

Publication: Journal of Geotechnical Engineering
Volume 109, Issue 10

Abstract

A general nonlinear differential equation for the one‐dimensional consolidation of saturated plastic soils, taking into account the variations of compressibility and permeability of the soil, is integrated by numerical methods and the corresponding consolidation curves are presented. If λ=1-γκ where γ and κ are the nonlinear coefficient of compressibility and the coefficient of permeachange, respectively, the consolidation curves depend only on the ratio of the final to the initial thicknesses H2/H1 and on the ratio of the parameters λ/γ. Taking as reference the consolidation curves for which the coefficient of consolidation is constant, for which case λ=0, then it is found that the displacement of the consolidation curves increases with values of λ/γ compared to zero and with values of H2/H1 compared to unity. The Terzaghi's linear solution is found to be a very good solution for the special case λ/γ=1.

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References

1.
Crank, J., and Nicolson, P., “A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat‐Conduction Type,” Proceedings, Camb, Philosophical Society 43, Philadelphia, Pa., 1947, pp. 50–67.
2.
Isaacson, E., and Keller, H. B., Analysis of Numerical Methods, John Wiley & Sons, Inc., New York, N.Y., 1966.
3.
Juárez‐Badillo, E., “Constitutive Relationships for Soils,” Symposium on Recent Developments in the Analysis of Soil Behavior and Their Application to Geotechnical Structures, The University of New South Wales, Kensington, NSW, Australia, July, 1975, pp. 231–257.
4.
Juárez‐Badillo, E., “General Permeability Change Equation for Soils,” International Conference on Constitutive Laws for Engineering Materials, University of Arizona, Tucson, Ariz., Jan., 1983, pp. 205–209.
5.
Juárez‐Badillo, E., “General Consolidation Theory for Clays,” Report No. 8, Soil Mechanics Series, Graduate School of Engineering, National University of Mexico, 1983.
6.
Juncosa, M. L., and Young, D., “On the Crank‐Nicolson Procedure for Solving Parabolic Partial Differential Equations,” Proceedings, Camb., Philosophical Society 53, Philadelphia, Pa., 1957, pp. 448–461.

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Go to Journal of Geotechnical Engineering
Journal of Geotechnical Engineering
Volume 109Issue 10October 1983
Pages: 1303 - 1312

History

Published online: Oct 1, 1983
Published in print: Oct 1983

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Authors

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Eulalio Juárez‐Badillo, F. ASCE
Research Prof., Grad. School of Engrg., National Univ. of Mexico; Consultant, Ministry of Human Settlements and Public Works, Mexico
Benito Chen
Research Prof., Inst. of Research in Applied Mathematics and Systems, National Univ. of Mexico

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