A discrete element model for kaolinite aggregate formation during sedimentation

The formation of colloidal aggregates during sedimentation is an important process when considering geotechnical and environmental engineering problems including wastewater treatment systems and slurry wall constructions for waste isolation. In this paper, a quasi three-dimensional discrete element framework is developed to model aggregate formation during sedimentation by considering the following microscopic inter-particle forces present in the clay–water–electrolyte system: van der Waals attraction, electrical double-layer repulsion, Born's repulsion, hydrodynamic viscous drag, and gravity. The role of these physico-chemical forces in the formation of clay clusters during sedimentation is investigated using an integrated numerical and experimental approach. The discrete element method (DEM) framework has been previously shown to accurately model clay behavior at the microscopic level. The model is validated with experimental data for comparison of distributions of aggregate density and aggregate size. Good agreement between the model prediction and the experimental results is obtained, suggesting that the DEM can be a powerful tool to better understand the aggregate formation process at the microscopic scale. For particle sizes ranging from 0.05 to 1 µm it is also shown, through numerical simulations, that ionic strength of the fluid medium is the controlling factor for aggregate size and density and that at aggregate sizes less than 20 µm, face-to-face interactions dominate the force regime between a pair of particles. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  N. Lu,et al.  A LASER TECHNIQUE TO QUANTIFY THE SIZE, POROSITY, AND DENSITY OF CLAY CLUSTERS DURING SEDIMENTATION , 2001 .

[2]  Kanji Matsumoto,et al.  SETTLING VELOCITY OF FLOC , 1975 .

[3]  A. McGown,et al.  The form and function of microfabric features in a variety of natural soils , 1974 .

[4]  D. A. Saville,et al.  Colloidal Dispersions: ACKNOWLEDGEMENTS , 1989 .

[5]  Menachem Elimelech,et al.  Colloid mobilization and transport in groundwater , 1996 .

[6]  Roy E. Olson,et al.  Mechanisms Controlling the Permeability of Clays , 1971 .

[7]  Jerzy J. Ganczarczyk,et al.  Stroboscopic determination of settling velocity, size and porosity of activated sludge flocs , 1987 .

[8]  G.G.W. Mustoe,et al.  A GENERALIZED FORMULATION OF THE DISCRETE ELEMENT METHOD , 1992 .

[9]  A. Anandarajah,et al.  Van der Waals Attraction between Spherical Particles , 1996 .

[10]  N. Lu,et al.  Role of Microscopic Physicochemical Forces in Large Volumetric Strains for Clay Sediments , 2001 .

[11]  G. Bolt Physico-Chemical Analysis of the Compressibility of Pure Clays , 1956 .

[12]  R. Gibbs Settling Velocity, Diameter, and Density for Flocs of Illite, Kaolinite, and Montmorillonite , 1985 .

[13]  A. Anandarajah,et al.  Double-Layer Repulsive Force between Two Inclined Platy Particles According to the Gouy-Chapman Theory , 1994 .

[14]  S. Nambu,et al.  Biochemical and physical properties of an activated sludge on settling characteristics , 1976 .

[15]  H. Dines ‘Soil’ Mechanics , 1944, Nature.

[16]  Harold W. Olsen,et al.  HYDRAULIC FLOW THROUGH SATURATED CLAYS , 1960 .

[17]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[18]  R Hogg,et al.  Effects of flocculation conditions on agglomerate structure , 1986 .

[19]  I. N. McCave Vertical flux of particles in the ocean , 1975 .

[20]  J. Mitchell THE FABRIC OF NATURAL CLAYS AND ITS RELATION TO ENGINEERING PROPERTIES , 1956 .

[21]  Ning Lu,et al.  The Accuracy of Hydrometer Analysis for Fine-Grained Clay Particles , 2000 .

[22]  H. Olphen An Introduction to Clay Colloid Chemistry , 1977 .

[23]  H. C. Hamaker The London—van der Waals attraction between spherical particles , 1937 .

[24]  Norihito Tambo,et al.  Physical characteristics of flocs—I. The floc density function and aluminium floc , 1979 .

[25]  Douglas W. Fuerstenau,et al.  Mutual coagulation of colloidal dispersions , 1966 .

[26]  W. Busscher Fundamentals of Soil Behavior , 1994 .

[27]  Jonathan D. Bray,et al.  CAPTURING NONSPHERICAL SHAPE OF GRANULAR MEDIA WITH DISK CLUSTERS , 1999 .

[28]  Johannes Lyklema,et al.  Fundamentals of Interface and Colloid Science , 1991 .