First-Order Rate Equations in Geotechnical Engineering
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Volume 128, Issue 5
Abstract
First-order rate equations model physical or chemical processes in which the rate of approach to an end condition is proportional to the departure from that condition. Relationships were defined and tested with geotechnical problems including the prediction of end values for consolidation and for settlement from limited data. Solutions were obtained by substituting trial end values to obtain linearity of a prescribed relationship. The method does not require a thorough understanding of the mechanisms involved, but only that they be consistent and asymptotic to an end value. The mandatory linear relationship cannot be obtained if these criteria are not met, for example, for linear elastic behavior. First-order rate equations are discontinuous and overlap at behavioral boundaries such as that between primary and secondary consolidation. They also suggest a separate stage involving the loss of structure during consolidation of a quick clay. Settlement predictions are in close agreement with data from a grain elevator and from the Kansai International Airport, Japan. Other applications include defining minimum void ratios in fine-grained soils and determining a zero-flow liquid limit value.
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References
Akai, K. (1998). Analytical background of geomechanical phenomena, Kyoto University Press, Kyoto, Japan.
Akai, K., and Tanaka, Y. (1999). “Settlement behavior of an offshore airport.” Geotechnical engineering for infrastructure, Barends et al., eds., Balkema, Rotterdam.
Asaoka, A.(1978). “Observational procedure of settlement prediction.” Soils Found., Japanese Soc. of Soil Mech. and Found. Engineering, 18(4), 121–130.
Casagrande, A.(1932a). “Research on the Atterberg limits of soils.” Public Roads, 13(8), 121–130.
Casagrande, A. (1932b). “The structure of clay and its importance in foundation engineering.” J. Boston Soc. Civ. Eng. (Reprinted in Contributions to soil mechanics 1925–1940, Boston Society of Civil Engineers, Boston, 1940, 72–113).
Casagrande, A., and Fadum, R. E.(1944). “Application of soil mechanics in designing building foundations.” Trans. Am. Soc. Civ. Eng., 109, 383–490.
Crawford, Carl B.(1964). “Interpretation of the consolidation test.” J. Soil Mech. Found. Div., 90(5), 87–102.
Handy, R. L.(1962). “Alluvial cutoff dating from subsequent growth of a meander.” Geol. Soc. Am. Bull., 83, 475–480.
Holz, R. D., and Kovacs, W. D. (1981). An introduction to geotechnical engineering, Prentice-Hall, Englewood Cliffs, N.J.
Janbu, N. (1969). “The resistance concept applied to deformations of soils.” Proc., 7th Int. Conf. on Soil Mechanics and Foundation Engineering, ASCE, New York, Vol. I, 191–196.
Kansai International Airport Ltd. (KIX) (2001). “Kansai International Airport brief on land settlement.” 〈http://www.kiac.co.jp/english/default.htm〉 (February 1, 2001).
Mitchell, J. K. (1993). Fundamentals of soil behavior, 2nd Ed., Wiley, New York.
Ruff, C. G. (1965). “Time-temperature-strength-reaction product relationships of lime-bentonite-water mixtures.” PhD dissertation, Iowa State Univ., Ames, Iowa.
Saye, S. R., and Lutenegger, A. J. (1988). “Performance of two metal grain tanks founded on compressible alluvium in western Iowa.” Measured Performance of Shallow Foundations, Specialty Conf. Proc., ASCE, New York, 27–45.
Spangler, M. G., and Handy, R. L. (1982). Soil engineering, 4th Ed., Harper and Row, New York.
Taylor, D. W. (1948). Fundamentals of soil mechanics, Wiley, New York.
Yin, J. H.(1999). “Non-linear creep of soils in odometer tests.” Geotechnique, 49(5), 699–707.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 128 • Issue 5 • May 2002
Pages: 416 - 425
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Feb 1, 2001
Accepted: Oct 22, 2001
Published online: Apr 15, 2002
Published in print: May 2002
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