Role of Microscopic Physicochemical Forces in Large Volumetric Strains for Clay Sediments
Publication: Journal of Engineering Mechanics
Volume 127, Issue 7
Abstract
In a clay-water-electrolyte system, each particle is under the influence of van der Waals attraction, electrical double-layer repulsion, Born's repulsion, hydrodynamic viscous drag, and gravity. This study investigates the role of microscopic forces in the volumetric behavior of clay sediments. The microscopic forces are implemented in a 2D discrete element method (DEM) framework that uses spheres to represent clay particles. The model is validated with two well-defined problems: (1) an analytical estimation of force-equilibrium for the system of colloidal particles; and (2) the theoretical settling velocity of spherical particles according to Stokes' law. An experimental program is developed to measure the free swell of Georgia kaolinite, Na-montmorillonite, and Ca-montmorillonite. The experimental results are used to validate the DEM framework in its ability to correctly model the volumetric strains inherent to clay sediments. A good agreement between the model prediction and the experimental data is obtained, suggesting that the DEM can be used to predict large volumetric strains for clay sediments. It is also shown, through numerical simulations, that ionic strength of the pore fluid is an important controlling factor for volumetric strain. For low ionic strength, montmorillonite can experience a void ratio increase up to 2.0 compared with high ionic strengths. For ionic strength ranging from 0.001 to 2.0, changes in void ratio for montmorillonite are higher than kaolinite by a factor of two.
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References
1.
Anandarajah, A. ( 1997). “Influence of particle orientation on one-dimensional compression of montmorillonite.” J. Colloid and Interface Sci., 194, 44–52.
2.
Anandarajah, A., and Chen, J. ( 1995). “Single correction function for computing retarded van der Waals attraction.” J. Colloid and Interface Sci., 176, 293–300.
3.
Anandarajah, A., and Lu, N. ( 1991). “Numerical study of the electrical double layer repulsion between non-parallel clay particles of finite length.” Int. J. Numer. and Analytical Methods in Geomech., 15, 683–703.
4.
Anderson, M. T., Lu, N., and Mustoe, G. G. M. ( 2000). “A discrete element simulation of the forming of clay aggregates during sedimentation.” Proc., 20th Engrg. Mech. Conf., ASCE, Reston, Va.
5.
Arulanandan, K., Smith, S. S., and Spiegler, K. S. ( 1973). “Soil structure evaluation by the use of radio frequency electrical dispersion.” Proc., Int. Symp. on Soil Struct., Gothenburg, Sweden, 29–49.
6.
Bolt, G. H. ( 1956). “Physico-chemical analysis of the compressibility of pure clays.” Géotechnique, London, 6(2), 86–93.
7.
Brindley, G. W., and Brown, G. ( 1980). “Crystal structures of clay minerals and their x-ray identification.” Mineralogical Soc. Monograph No. 5.
8.
Casagrande, A. ( 1932). “The structure of clay and its importance in foundation engineering.” Contributions to soil mechanics, 1925–1940, Boston Society of Civil Engineers, ASCE, Boston, 71–112.
9.
Chang, C. S. ( 1993). “Micromechanics modeling for deformation and failure of granulates with frictional contacts.” Mechanics of materials, Vol. 16, Elsevier Science, Amsterdam, 13–24.
10.
Chen, F. H. ( 1988). Foundation on expansive soils, Elsevier Science, New York.
11.
Chen, J., and Anandarajah, A. ( 1996). “Van der Waals attraction between spherical particles.” J. Colloid and Interface Sci., 168, 111–117.
12.
Clift, R., Grace, J. R., and Weber, M. E. ( 1978). Bubbles, drops, and particles, Academic, San Diego.
13.
Collins, K., and McGown, A. ( 1974). “The form and function of microfabric features in a variety of natural soils.” Géotechnique, London, 24(2), 38–45.
14.
Cundall, P. A., and Strack, O. D. L. ( 1979). “A distinct element method for modeling granular assemblies.” Géotechnique, London, 29, 47–65.
15.
Cundall, P. A., and Strack, O. D. L. ( 1983). Modeling of microscopic mechanisms in granular media: New models and constitutive relations, J. T. Jenkins and M. Satake, eds., Elsevier Science, Amsterdam, 137–150.
16.
Lambe, T. W., and Martin, R. T. ( 1955). “Composition and engineering properties of soils.” Proc., Hwy. Res. Board, Transportation Research Board, Washington, D.C.
17.
Lyklema, J. ( 1991). Fundamentals of interface and colloid science: Volume 2, Academic, San Diego.
18.
McKeen, R. G. ( 1992). “A model for predicting expansive soil behavior.” Proc., 7th Int. Conf. on Expansive Soils, 1–6.
19.
Mesri, G., and Olson, R. E. ( 1971). “Mechanisms controlling the permeability of clays.” Clays and Clay Minerals, 19, 151–158.
20.
Mindlin, R. D. ( 1949). “Compliance of an elastic body in contact.” J. Appl. Mech., 16, 259–268.
21.
Mitchell, J. K. ( 1956). “The fabric of natural clays and its relation to engineering properties.” Proc., Hwy. Res. Board, Vol. 35, Transportation Research Board, Washington, D.C., 693–713.
22.
Mitchell, J. K. ( 1993). Fundamentals of soil behavior, 2nd Ed., Wiley, New York.
23.
Mustoe, G. G. W. ( 1992). “A generalized formulation of the discrete element method.” Engrg. Computations, Swansea, Wales, 9(2), 181–190.
24.
Nelson, J. D., and Miller, D. J. ( 1992). Expansive soils: Problems and practice in foundation engineering. Wiley, New York.
25.
Ng, T.-T. ( 1989). “Numerical simulation of granular soil under monotonic and cyclic loading, a particulate mechanics approach.” PhD thesis, Civ. Engrg. Dept., R.P.I., Troy, New York.
26.
Ng, T.-T., and Lin, X. ( 1993). “Numerical simulation of naturally deposited granular soil with ellipsoidal elements.” Proc., 2nd Int. Conf. on Discrete Element Methods, MIT Press, Cambridge, Mass.
27.
Noe, D. C. ( 1997). “Heaving-bedrock hazards, mitigation, and land-use policy: Front Range Piedmont, Colorado.” Spec. Publ. 45, Colorado Geological Survey, Denver.
28.
Oda, M. ( 1972). “The mechanism of fabric changes during compressional deformation of sand.” Soils and Found., Tokyo, 12, 1–18.
29.
Olsen, H. W. ( 1961). “Hydraulic flow through saturated clays.” ScD dissertation, Massachusetts Institute of Technology, Cambridge, Mass.
30.
Olsen, H. W. ( 1962). “Hydraulic flow through saturated clays.” Proc., 9th Nat. Conf. on Clays and Clay Minerals, Clay Minerals Society, Aurora, Colo., 131–161.
31.
Russel, W. B., Saville, D. A., and Schowalter, W. R. ( 1989). Colloidal dispersions, Cambridge University Press, London and New York.
32.
Ryan, J. N., and Elimelech, M. ( 1996). “Colloid mobilization and transport in groundwater.” Colloids and Surface, 107, 1–56.
33.
Shaw, D. J. ( 1992). Introduction to surface and colloid chemistry, 4th Ed., Butterworth-Heinemann, Oxford, U.K.
34.
Stokes, G. G. ( 1851). Trans. Cambridge Philos. Soc., 9, 8–27.
35.
Thomas, P. A., and Bray, J. (1999). “Capturing nonspherical shape of granular media with disk clusters.”J. Geotech. and Geoenvir. Engrg., ASCE, 125(3), 169–178.
36.
Van Olphen, H. ( 1991). An introduction to clay colloid chemistry, Krieger Publishing Co., Melbourne, Fla.
37.
Verwey, E. J., and Overbeck, J. T. G. ( 1948). Theory of the stability of lyophobic colloids, Elsevier Science, Amsterdam.
38.
Williams, J. R., and Mustoe, G. G. W., eds. ( 1993). Proc., 2nd Int. Conf. on Discrete Element Methods, MIT Press, Cambridge, Mass.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 7 • July 2001
Pages: 710 - 719
History
Received: Jun 21, 2000
Published online: Jul 1, 2001
Published in print: Jul 2001
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