Probabilistic Analysis of Coupled Soil Consolidation
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Volume 136, Issue 3
Abstract
Coupled Biot consolidation theory was combined with the random finite-element method to investigate the consolidation behavior of soil deposits with spatially variable properties in one-dimensional (1D) and two-dimensional (2D) spaces. The coefficient of volume compressibility and the soil permeability are assumed to be lognormally distributed random variables. The random fields of and are generated by the local average subdivision method which fully takes account of spatial correlation, local averaging, and cross correlations. The generated random variables are mapped onto a finite-element mesh and Monte Carlo finite-element simulations follow. The results of parametric studies are presented, which describe the effect of the standard deviation, spatial correlation length, and cross correlation coefficient on output statistics relating to the overall “equivalent” coefficient of consolidation. It is shown that the average degree of consolidation defined by excess pore pressure and settlement are different in heterogeneous soils. The dimensional effect on the soil consolidation behaviors is also investigated by comparing the 1D and 2D results.
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Acknowledgments
The writers wish to acknowledge the support of NSF Grant No. NSFCMS-0408150 on “Advanced probabilistic analysis of stability problems in geotechnical engineering.”
References
Badaoui, M., Nour, A., Slimani, A., and Berrah, M. K. (2007). “Consolidation statistics investigation via thin layer method analysis.” Transp. Porous Media, 67, 69–91.
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12, 155–164.
Brzakala, W., and Puma, W. (1996). “A probabilistic analysis of foundations settlements.” Comput. Geotech., 18(4), 291–309.
Casagrande, A. (1936). “The determination of the pre-consolidation load and its practical significance.” Proc., 1st Int. Soil Mechanics and Foundation Engineering Conf., A. Casagrande, ed., Vol. 3, Graduate School of Engineering, Harvard University, Cambridge, Mass., 60–64.
Cassiani, G., and Zoccatelli, G. (2000). “Subsidence risk in Venice and nearby areas, Italy, owing to offshore gas fields: a stochastic analysis.” Environ. Eng. Geosci., VI(2), 115–128.
Chang, C. S. (1985). “Uncertainty of one-dimensional consolidation analysis.” J. Geotech. Engrg., 111(12), 1411–1424.
Cornetti, E., and Battaglio, M. (1994). “Nonlinear consolidation of soil modeling and solution techniques.” Math. Comput. Model., 20(7), 1–12.
Dagan, G. (1989). Flow and transport in porous media, Springer, New York.
Darrag, A. A., and Tawil, M. A. (1993). “The consolidation of soils under stochastic initial excess pore pressure.” Appl. Math. Model., 17, 609–612.
Fenton, G. A., and Griffiths, D. V. (2008). Risk assessment in geotechnical engineering, Wiley, New York.
Fenton, G. A., and Vanmarcke, E. H. (1990). “Simulation of random fields via local average subdivision.” J. Eng. Mech., 116(8), 1733–1749.
Freeze, R. A. (1975). “A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media.” Water Resour. Res., 11(5), 725–741.
Freeze, R. A. (1977). “Probabilistic one-dimensional consolidation.” J. Geotech. Engrg. Div., 103(GT7), 725–741.
Frias, D. G., Murad, M. A., and Pereira, F. (2004). “Stochastic computational modelling of highly heterogeneous poroelastic media with long-range correlations.” Int. J. Numer. Analyt. Meth. Geomech., 28, 1–32.
Gibson, R. E., Englund, G. L., and Hussey, M. J. L. (1967). “The theory of one-dimensional consolidation of saturated clays. I. Finite nonlinear consolidation of thin homogeneous layers.” Geotechnique, 17(3), 261–273.
Griffiths, D. V. (1994). “Coupled analyses in geomechanics.” Visco-plastic behaviour of geomaterials, N. D. Cristescu and G. Gioda, eds., Chap. 5, Springer, New York.
Griffiths, D. V., and Fenton, G. A. (1993). “Seepage beneath water retaining structures founded on spatially random soil.” Geotechnique, 43(4), 577–587.
Gui, S., Zhang, R., Turner, J. P., and Xu, X. (2000). “Probabilistic slope stability analysis with stochastic soil hydraulic conductivity.” J. Geotech. Geoenviron. Eng., 126(1), 1–9.
Hoeksema, R. J., and Kitanidis, P. K. (1985). “Analysis of the spatial structure of properties of selected aquifers.” Water Resour. Res., 21(4), 563–572.
Hong, H. P. (1992). “One-dimensional consolidation with uncertain properties.” Can. Geotech. J., 29, 161–165.
Hong, H. P., and Shang, J. Q. (1998). “Probabilistic analysis of consolidation with prefabricated vertical drains for soil improvement.” Can. Geotech. J., 35, 666–667.
Hwang, D., and Witczak, M. W. (1984). “Multidimensional probabilistic consolidation.” J. Geotech. Engrg., 110(8), 1059–1077.
Lamcellotta, R., and Preziosi, L. (1997). “A general nonlinear mathematical model for soil consolidation problems.” Int. J. Eng. Sci., 35(10–11), 1045–1063.
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(11), 815–831.
Morris, P. H. (2002). “Analytical solutions of linear finite-Strain one-dimensional consolidation.” J. Geotech. Geoenviron. Eng., 128(4), 319–326.
Morris, P. H. (2003). “Compressibility and permeability correlations for fine-grained dredged materials.” J. Waterway, Port, Coastal, Ocean Eng., 129(4), 188–191.
Press, W. H., Saul, A., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical recipes in FORTRAN: The art of scientific computing, 2nd Ed., Cambridge University Press, New York.
Pyrah, I. C. (1996). “One-dimensional consolidation of layered soils.” Geotechnique, 46(3), 555–560.
Rowe, P. W. (1972). “The relevance of soil fabric to site investigation practice.” Geotechnique, 22(2), 195–300.
Schiffman, R. L., De Boer, R., and Gibson, R. E. (1996). “The origins of the theory of consolidation: the Terzaghi–Fillunger dispute.” Geotechnique, 46(2), 175–186.
Schiffman, R. L., Pane, V., and Gibson, R. E. (1984). “The theory of one-dimensional consolidation of saturated clays.” Proc., American Society of Civil Engineers Symp. on Sedimentation Consolidation Models—Predictions and Validation, R. N. Yong and F. C. Townsend, eds., ASCE, Reston, Va., 1–29.
Schiffman, R. L., and Stein, J. R. (1970). “One-dimensional consolidation of layered systems.” J. Soil Mech. and Found. Div., 96, 1499–1504.
Smith, I. M., and Griffiths, D. V. (2004). Programming the finite element method, 4th Ed., Wiley, New York.
Sudicky, E. A. (1986). “A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process.” Water Resour. Res., 22(13), 2069–2082.
Taylor, D. W. (1948). Fundamentals of soil mechanics, Wiley, New York.
Yang, J., Zhang, R., Wu, J., and Allen, M. B. (1996). “Stochastic analysis of adsorbing solute transport in two-dimensional unsaturated soils.” Water Resour. Res., 32(9), 2747–2756.
Zeitoun, D. G., and Baker, R. (1992). “A stochastic approach for settlement predictions of shallow foundations.” Geotechnique, 42(4), 617–629.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 136 • Issue 3 • March 2010
Pages: 417 - 430
Copyright
© 2010 ASCE.
History
Received: Jul 9, 2008
Accepted: Aug 28, 2009
Published online: Sep 2, 2009
Published in print: Mar 2010
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