TECHNICAL PAPERS
Apr 1, 2005

Coupled Continuum-Discrete Model for Saturated Granular Soils

Publication: Journal of Engineering Mechanics
Volume 131, Issue 4

Abstract

A coupled hydromechanical model was used to analyze the mesoscale pore fluid flow and microscale solid phase deformation of saturated granular soils. The fluid motion was idealized using averaged Navier–Stokes equations, and the discrete element method was employed to model the assemblage of solid particles. The fluid–particle interactions were quantified using established semiempirical relationships. Simulations were conducted to investigate the three-dimensional response of sandy deposits when subjected to critical and overcritical upward pore fluid flow. These simulations revealed complex response patterns after the onset of quicksand conditions and provided valuable insight into the associated mechanisms. The employed model provides an effective tool to assess the microscale mechanisms and characteristics of the partially drained response of saturated granular media.

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Acknowledgment

This research was supported by the National Science Foundation, Grant No. CMS-0084591. This support is gratefully acknowledged.

References

Anderson, T., and Jackson, R. (1967). “A fluid mechanical description of fluidized beds.” Ind. Eng. Chem. Fundam., 6(4), 527–539.
Bathurst, R., and Rothenburg, L. (1988). “Micromechanical aspects of isotropic granular assemblies with linear contact interactions.” J. Appl. Mech., 55, 17–23.
Burmister, D. (1954). “Principles of permeability testing of soils.” Proc., 57th Symp. on Permeability of Soils, Annual Meeting, Chicago, IL 3–20.
Comiti, J., and Renaud, M. (1989). “A new model for determining mean structure parameters of fixed beds from pressure drop measurements: Application to beds packed with parallepipedal particles.” Chem. Eng. Sci., 44, 1817–1823.
Cundall, P., and Strack, O. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.
Cundall, P., and Strack, O. (1983). “Modeling of microscopic mechanisms in granular material.” Proc., US–Japan Seminar, on New Models and Constitutive Relations in the Mechanics of Granular Material, J. T. Jenkins and M. Satake, eds., Elsevier, Amsterdam, 137–149.
Dobry, R., and Ng, T. (1992). “Discrete modelling of stress-strain behavior of granular media at small and large strains.” Eng. Comput., 9, 129–143.
Edwards, S. (1998). “The equations of stress in a granular material.” Physica A, 249, 226–231.
Ergun, S. (1952). “Fluid flow through packed columns.” Chem. Eng. Prog., 43(2), 89–94.
Evgin, E. (2000). “An experimental study and numerical simulation of liquefaction at a soil-structure interface.” Proc., 53rd Canadian Geotechnical Conf.: Geotechnical Engineering at the Dawn of the 3rd Millennium, Montreal, 2000, Canadian Geotechnical Society, Richmond, B. C., Canada, 1075–1082.
Ferziger, J., and Peric, M. (1999). Computational methods for fluid dynamics, 2nd Ed., Springer, Berlin.
Fletcher, C. (1991). Computational techniques for fluid dynamics, 2nd Ed., Springer, Berlin.
Harlow, F., and Welch, J. (1965). “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.” Phys. Fluids, 8, 2182–2189.
Itasca, (1999). Particle Flow Code, PFC3D, Release 2.0, Itasca Consulting Group, Inc., Minneapolis.
Jackson, R. (2000). The dynamics of fluidized particles, Cambridge University Press, New York.
Kawaguchi, T., Tanaka, T., and Tsuji, Y. (1998). “Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models).” Powder Technol., 96, 129–138.
Lambe, T., and Whitman, R. (1969). Soil mechanics, Wiley, New York.
Lewis, R. W., and Schrefler, B. A. (1987). The finite element method in the deformation and consolidation of porous media, Wiley, New York.
Li, L., and Holt, R. (2000). “Simulation of flow in sandstone with fluid coupled particle model.” Proc., 38th U.S. Rock Mechanics Symp., Rock Mechanics in the National Interest, Washington, D.C., 165–172.
Lindquist, E. (1933). “On the flow of water through porous soil.” Proc., 1st Congres des Grands Barrages, Commission Internationale des Grands Barrages, Stockholm, Sweden, 81–101.
Meegoda, M., King, I., and Arulanandan, K. (1989). “An expression for the permeability of anisotropic granular media.” Int. J. Numer. Analyt. Meth. Geomech., 13, 575–598.
Mindlin, R., and Deresiewicz, H. (1953). “Elastic spheres in contact under varying oblique forces.” J. Appl. Mech., 20, 327–344.
Ng, T. T. (1989). “Numerical simulation of granular soil under monotonic and cyclic loading: A particulate mechanics approach.” PhD thesis, Rensselaer Polytechnic Institute, Troy, N.Y.
Patankar, S. (1980). Numerical heat transfer and fluid flow, Taylor and Francis, London.
Potapov, A., Hunt, M., and Campbell, C. (2001). “Liquid-solid flows using smoothed particle hydrodynamics and the discrete element method.” Powder Technol., 116, 204–213.
Ravichandran, N., and Meguro, K. (2001). “3-d modeling of liquefaction phenomenon using distinct element method.” Proc., 4th Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, San Diego, No. 4.58.
Scheidegger, A. (1974). The physics of flow through porous media, 3rd Ed., Univ. of Toronto Press, Toronto.
Thornton, C., and Liu, L. (2000). “DEM simulations of uni-axial compression and decompression.” Compaction of soils, granulates and powders, D. Kolymbus and W. Fellin, eds., Balkema, Rotterdam, the Netherlands, 251–261.
Trussell, R., and Chang, M. (1999). “Review of flow through porous media as applied to head loss in water filters.” J. Environ. Eng., 125(11), 998–1006.
Tsuji, Y., Kawaguchi, T., and Tanaka, T. (1993). “Discrete particle simulation of two-dimensional fluidized bed.” Powder Technol., 77, 79–87.
Wen, C., and Yu, Y. (1966). “Mechanics of fluidization.” Chem. Eng. Prog., Symp. Ser., 62(62), 100–111.
Zeghal, M., El Shamy, U., Shephard, M., Dobry, R., Fish, J., and Abdoun, T. (2004). “Micromechanical analyses of saturated granular soils.” Int. J. Multiscale Computational Eng., 1(4), 441–460.
Zhu, Y., Fox, P., and Morris, J. (1999). “A pore-scale numerical model for flow through porous media.” Int. J. Numer. Analyt. Meth. Geomech., 23, 881–904.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 131Issue 4April 2005
Pages: 413 - 426

History

Received: Jan 7, 2003
Accepted: Sep 9, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005

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Notes

Note. Associate Editor: Jin Y. Ooi

Authors

Affiliations

Usama El Shamy, S.M.ASCE [email protected]
Graduate student, Civil and Environmental Engineering Dept., Rensselaer Polytechnic Institute, 110 Eighth St., Troy, NY 12180. E-mail: [email protected]
Mourad Zeghal, M.ASCE [email protected]
Assistant Professor, Civil and Environmental Engineering Dept., Rensselaer Polytechnic Institute, 110 Eighth St., Troy, NY 12180. E-mail: [email protected]

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