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Pore-Space Dynamics in a Soil Aggregate Bed under a Static External Load

^a Earth Science Division, Lawrence Berkeley National Laboratory, One Cycotron Road, MS90-1116, Berkeley, CA 94720
^b Dep. of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Road, Unit 2037, Storrs, CT 06269

View larger version (85K): [in a new window]   Fig. 1. Basic structural units. (a) Spheres in cubic packing, (b) spheres in rhombic packing, (c) generalized rhombohedral unit, and (d) spherical pore of radius r1 embedded in homogeneous spherical matrix of radius r2 (r1 - r2 is the thickness of the solid shell associated with the given pore).

View larger version (30K): [in a new window]   Fig. 2. Definition of variables for the generalized rhombohedral system. (a) Truncated unit cell, (b) planar area of the unit cell, (c) packing angle, and (d) strain.

View larger version (22K): [in a new window]   Fig. 3. Viscoplastic strain of a generalized rhombohedral system as a function of nondimensional time for various dimensionless load ratios. Inset: The maximum strain as a function of the dimensionless load ratio (circles denote the load-ratio values used in the main plot).

View larger version (42K): [in a new window]   Fig. 4. Conceptual model of soil aggregate bed. (a) Schematic representation of soil aggregate bed, (b) one-dimensional array of unit cells separated by conceptual rigid planes (c) one layer of close-fitting unit cells, (d) planar view of a layer of unit cells.

View larger version (19K): [in a new window]   Fig. 5. Coalescence of modeling clay under isotropic stress. (a) Strain as a function of dimensionless stress. (b) Relative density as a function of dimensionless stress, for two packing angles. Note that for closed pores the original packing is irrelevant.

View larger version (14K): [in a new window]   Fig. 6. Coalescence of natural soil aggregates under uniaxial stress, at constant strain rate. (a) Strain as a function of dimensionless stress. (b) Relative density as a function of dimensionless stress.

View larger version (24K): [in a new window]   Fig. 7. Strain profile in Millville silt loam soil. Measured values correspond to soil columns of soil passing through 2-mm sieve (Ghavami et al., 1974). Model values correspond to calculations using an aggregate bed made of 2-mm aggregates.