TECHNICAL PAPERS
Dec 1, 1983

1-D Consolidation of Periodically Layered Soil

Publication: Journal of Engineering Mechanics
Volume 109, Issue 6

Abstract

A convenient and computationally efficient technique for analyzing the one-dimensional consolidation of periodically layered deposits is developed. This technique involves the use of a Laplace transform and an analytic solution to the governing equations is determined in transformed space. The transform is then inverted numerically. This technique requires minimal computational storage or calculation. The technique is then used to examine the response of periodically layered deposits. Particular emphasis is given to the effects of pumping from an underlying aquifer and to the time required to establish steady state flow from an overlying (possibly polluted) aquifer. The consolidation of deposits with a linear initial excess pore pressure distribution and impermeable or permeable base is also fly examined.

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References

1.
Barber, E. S., “Discussion of Paper by Gray,” Transactions, ASCE, Vol. 110, 1945, p. 1345.
2.
Booker, J. R., and Rowe, R. K., “One Dimensional Consolidation of Soil Exhibiting Periodic Layering,” Proceedings, International Symposium on Mechanical Behavior of Structured Media, Ottawa, Canada, May, 1981, pp. 319–334.
3.
Davis, E. H., and Lee, I. K., “One Dimensional Consolidation of Layered Soils,” Proceedings, 7th International Conference on Soil Mechanics and Foundation Engineering, Mexico, 1969, pp. 65–72.
4.
Glick, N., “Discussion of Paper by Gray,” Transactions, ASCE, Vol. 110, 1945.
5.
Gray, H., “Simultaneous Consolidation of Continuous Layers of Unlike Compressible Soils,” Transactions, ASCE, Vol. 110, 1945, p. 1327.
6.
Palmer, L. A., and Brown, P. P., “Settlement Analysis for Areas of Continuing Subsidence,” Proceedings, International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, 1957, p. 395.
7.
Richart, F. F., “Review of the Theories for Sand Drains,” Proceedings, ASCE, Vol. 83, 1957, Paper 1301.
8.
Rowe, P. W., “The Calculation of the Consolidation Rates of Laminated, Varved or Layered Clays, With Particular Reference to Sand Drains,” Geotechnique, Vol. 14, 1964, p. 321.
9.
Schiffman, R. L., and Gibson, R. E., “Consolidation of Nonhomogeneous Clay Layers,” Journal of the Soil Mechanics and Foundations Division, ASCE, No. SM5, 1964, pp. 1–30.
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Talbot, A., “The Accurate Numerical Integration of Laplace Transforms,” Journal of the Institute of Mathematics and its Applications, Vol. 23, 1979, pp. 97–120.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 109Issue 6December 1983
Pages: 1319 - 1333

History

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

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Authors

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John R. Booker
Reader in Civ. Engrg., The Univ. of Sydney, Sydney, Australia
R. Kerry Rowe
Assoc. Prof., Faculty of Engrg. Science, The Univ. of Western Ontario, London, Ontario, Canada N6A 5B9

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