Volume 3, Issue 3, September 2018, Page: 26-35
Numerical Model with Finite Differences Approach for CRS Consolidation Test
Abderrahmane Henniche, Department of Civil Engineering, University of Medea, Medea, Algeria
Smain Belkacemi, Department of Civil Engineering, Ecole Nationale Polytechnique, Algiers, Algeria
Received: Nov. 13, 2018;       Accepted: Dec. 5, 2018;       Published: Jan. 3, 2019
DOI: 10.11648/j.es.20180303.11      View  395      Downloads  74
Abstract
The Constant Rate of Strain (CRS) consolidation test is extensively used in last time to estimate the settlement of clayey soils in many geotechnical laboratories. Different theoretical solutions and numerical models have been developed to estimate consolidation parameters from CRS consolidation test data, and investigate the strain rate effect on the CRS consolidation results. In this study, a new numerical model is developed to simulate CRS consolidation test for small and large strain conditions and for both linear and nonlinear soils. This numerical model is based on the solution of Terzaghi’s classical consolidation equation by finite differences approach, with taking into account the variation of sample height with test time. Results of this numerical model indicate that applied vertical load at the top boundary of sample and excess pore pressure at its base are dependent on the applied strain rate. Evaluation of the consolidation parameters from numerical results of this model with small and large theoretical solutions shows excellent agreement between all methods in small strain level, and when large strain conditions are reached only use of large strain theories can produce good convergence with model results. However, when great strain rates (approximately β ≥ 0.1) are applied, a significant error can be observed in consolidation parameters calculation by using both small and large solutions. Finally, simulation of some experimental CRS tests reported in literature with this numerical model provides comparable consolidation parameters to those evaluated from the experimental CRS tests data.
Keywords
Consolidation, CRS Test, Compressibility, Strain Rate, Numerical Model, Consolidation Parameters
To cite this article
Abderrahmane Henniche, Smain Belkacemi, Numerical Model with Finite Differences Approach for CRS Consolidation Test, Engineering Science. Vol. 3, No. 3, 2018, pp. 26-35. doi: 10.11648/j.es.20180303.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
J. J. Hamilton and C. B. Crawford, “Improved determination of preconsolidation pressure of a sensitive clay,” Papers on Soils, ASTM STP 254, Committee D-18, Eds, ASTM International, West Conshohocken, PA, pp. 254–270, 1959.
[2]
R. E. Smith and H. E. Wahls, “Consolidation under constant rate of strain,” Journal of the Soil Mechanics and Foundations Division, ASCE95 (SM2), pp. 519–539, 1969.
[3]
A. E. Z. Wissa, J. T. Christian, E. H. Davis, S. Heiberg, “Consolidation at constant rate of strain,” Journal of the Soil Mechanics and Foundations Division, ASCE97(10), pp. 1393–1413. 1971.
[4]
Y. Umehara and K. Zen, “Constant rate of strain consolidation for very soft clayey soils,” Soil Found. 20(2), pp. 79–95. 1980.
[5]
K. Lee, “Consolidation With Constant Rate of Deformation,” Geotechnique, 31(2), 215–229. 1981.
[6]
D. Znidarcic, R. L. Schiffman, V. Pane, P. Croce, H. Y. Ko, H. W. Olsen, “The theory of one-dimensional consolidation of saturated clays: Part V. Constant rate of deformation test in grand analysis,” Geotechnique, 36(2), 227–237. 1986.
[7]
S. Leroueil, M. Kabbaj, F. Tavenas, R. Bouchard, “Stress-Strain-Strain Rate Relation for the Compressibility of Sensitive Natural Clays,” Geotechnique, 35(2), 159–180. 1985.
[8]
K. M. Sample and C. D. Shackelford, “Apparatus for Constant Rate-Of-Strain Consolidation of Slurry Mixed Soils,” Geotech. Test. J., 35(3), 409–419. 2012.
[9]
J. Rui, C. Jinchun, H. Takenori, “Interpretation of coefficient of consolidation from CRS test results,” Geomechanics and Engineering, 5(1), 57–70. 2013.
[10]
H. Pu, P. J. Fox, Y. Liu, “Model for Large Strain Consolidation Under Constant Rate of Strain,” International Journal for Numerical and Analytical Methods in Geomechanics, 37(11), 1574–1590. 2013.
[11]
Y. P. Vaid, P. K. Robertson, R. G. Campanella, “Strain rate behavior of Saint-Jean-Vianney clay,” Canadian Geotechnical Journal, 16(1), 34–42. 1979.
[12]
T. C. Sheahan, P. J. Watters, “Experimental Verification of CRS Consolidation Theory,” Journal of Geotechnical and Geoenvironmental Engineering, 123(5), 430–437. 1997.
[13]
T. Moriwaki, T. Satoh, “Method for determining the horizontal coefficient of permeability of clay,” Proceedings of the 44th Annual Presentation of Geotechnical Engineering, Yokohama, Japan, 219–220. 2009. (In Japanese).
[14]
A. L. Adams, “Laboratory Evaluation of the Constant Rate of Strain and Constant Head Techniques for Measurement of the Hydraulic Conductivity of Fine Grained Soils,” M. S. thesis, Massachusetts Institute of Technology, Cambridge, MA. 2011.
[15]
K. A. Kassim, S. A. R. Ahmad, B. H. K. Ahmad, S. Y. Chong, C. S. Lam, “Criteria of Acceptance for Constant Rate of Strain Consolidation Test for Tropical Cohesive Soil,” Geotechnical and Geological Engineering, 34(4), pp. 931–947. 2016.
[16]
H .Ahmadi, H. Rahimi, A. Soroush, A. Claes, “Experimental research on variation of pore water pressure in constant rate of strain consolidation test,“ Acta geotechnical slovenica 2, pp. 47–57. 2014.
[17]
C. T. Gorman, T. C. Hopkins, R. C. Deen, V. P. Drnevich, "Constant Rate of Strain and Controlled Gradient Consolidation Testing", Geotechnical Testing Journal, 1 (1), pp. 3–15. 1978.
[18]
B. M. Das, “Advanced Soil Mechanics,” 3thEdition. Taylor and Francis, London and NewYork, 300–310. 2008.
[19]
ASTM, “Standard test method for one-dimensional consolidation properties of saturated cohesive soils using controlled-strain loading,” D4186–06, West Conshohocken, PA. 2006.
[20]
P. J. Fox, H. Pu, J. T. Christian, “Evaluation of Data Analysis Methods for the CRS Consolidation Test,” ASCE Journal of Geotechnical and Geoenvironmental Engineering, 140(6), 04014020–(1–11). 2014.
[21]
K. Lee, V. Choa, S. H. Lee, S. H. Quek, “Constant rate of strain consolidation of Singapore Marine Clay,” Geotechnique 43(3), 471–488. 1993.
[22]
P. Hefu, J. F. Patrick, “Numerical Investigation of Strain Rate Effect for CRS Consolidation of Normally Consolidated Soil,” Geotechnical Testing Journal. 39(1), 80–90. 2016.
[23]
T. M. H. Lok and X. Shi, “Consolidation and strength Properties of Macau Marine Clay,” Faculty of science and technology, university of Macau. 2008.
[24]
B. W. Rowe, L. Barden, “A new consolidation cell,” Geotechnique, 16(1), 162–170. 1966.
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