Hysteresis of Matric Suction and Capillary Stress in Monodisperse Disk-Shaped Particles
Publication: Journal of Engineering Mechanics
Volume 132, Issue 5
Abstract
The dependences of matric suction and capillary stress on the degree of saturation in monodisperse disk-shaped particles are established for the full range of the degree of saturation. A thermodynamic free energy approach is employed to obtain both the soil–water characteristic curve (SWCC) and the capillary stress characteristic curve (CSCC) for both wetting and drying processes. It is shown that the thermodynamic energy stability concept can lead to the establishment of hysteresis in both the SWCC and CSCC without explicit involvement of the contact angle and ink-bottle hysteresis. The air-entry pressure value and capillary condensation pressure value are quantified and their functional dependencies on the average pore sizes are established. For particle sizes ranging between 0.001 and , the air-entry and capillary condensation pressures decrease from several hundred kPa to several kPa and capillary forces are found to range between tens and hundreds of micronewtons.
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Acknowledgment
DW acknowledges the support of the Research Corporation under the Research Innovation Award #RI-0161.
References
Broefhoff, J. C. P., and DeBoer, J. H. (1967). “Studies on pore systems in catalysis. IX: Calculation of pore distributions from the adsorption branch of nitrogen sortion isoherms in the case of open cylindrical pores.” J. Catal., 9, 8–14.
Broefhoff, J. C. P., and DeBoer, J. H. (1968a). “Studies on pore systems in catalysis. XI: Pore distribution calculations from the adsorption branch of a nitrogen adsorption isotherm in the case of ‘Ink-bottle’ type pores.” J. Catal., 10, 153–165.
Broefhoff, J. C. P., and DeBoer, J. H. (1968b). “Studies on pore systems in catalysis. XI: Pore distributions from the desorption branch of a nitrogen sorption isotherm in the case of cylindrical pores.” J. Catal., 10, 368–374.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Colorado State University, Hydrology Paper No. 3.
Coughlin, R. W., Elbirli, B., and Vergara-Edwards, L. (1982). “Interparticle force by capillary-condensed liquid at contact points.” J. Colloid Interface Sci., 87, 18–28.
De Bisschop, F. R. E., and Rigole, W. J. L. (1982). “A physical model for liquid capillary bridges between adsorptive solid spheres: The nodoid of plateau.” J. Colloid Interface Sci., 88, 117–128.
Dietrich, S. (1988). “Wetting phenomena.” Phase transitions and critical phenomena, vol. 12, C. Domb and J. L. Lebowitz, eds., Academic, New York.
Dietrich, S., and Schick, M. (1986). “Order of wetting transitions.” Phys. Rev. B, 33, 4952–4967.
Dobbs, H. T., Darbellay, G. A., and Yeomans, J. M. (1992). “Capillary condensation between spheres.” Europhys. Lett., 18, 439–444.
Dobbs, H. T., and Yeomans, J. M. (1992). “Capillary condensation and prewetting between spheres.” J. Phys.: Condens. Matter, 4, 10133–10138.
Erle, M. A., Dyson, D. C., and Morrow, N. R. (1971). “Liquid bridges between cylinders, in a torus, and between spheres.” AIChE J., 17, 115–121.
Evans, R., Marconi, M. B., and Tarazona, P. (1986). “Fluids in narrow pores: Adsorptions, capillary condensation and critical points.” J. Chem. Phys., 84, 2376–2399.
Gelfand, M. P., and Lipowsky, R. (1987). “Wetting on cylinders and spheres.” Phys. Rev. B, 36, 8725–8735.
Hornbaker, D. J., Albert, R., Albert, I., Barabási, A.-L., and Schiffer, P. (1997). “What keeps sandcastles standing?” Nature (London), 387, 765.
Israelachvili, J. (1991). Intermolecular and surface forces, 2nd Ed., Academic, New York.
Iwamatsu, M., and Horii, K. (1996). “Capillary condensation and adhesion of two wetter surfaces.” J. Colloid Interface Sci., 182, 400–406.
Khalili, N., and Khabbaz, M. H. (1998). “A unique relationship for for the determination of the shear strength of unsaturated soils.” Geotechnique, 48(5), 681–687.
Kornev, K. G., Shingareva, I. K., and Neimark, A. V. (2002). “Capillary condensation as a morphological transition.” Adv. Colloid Interface Sci., 96, 143–167.
Lian, G., Thorton, C., and Adams, M. J. (1993). “A theoretical study of the liquid bridge forces between two rigid spherical bodies.” J. Colloid Interface Sci., 161, 138–147.
Melrose, J. C. (1966). “Model calculations for capillary condensation.” AIChE J., 12, 986–994.
Molenkamp, F., and Nazemi, A. H. (2003a). “Interactions between two rough spheres, water bridge and water vapor.” Geotechnique, 53, 255–264.
Molenkamp, F., and Nazemi, A. H. (2003b). “Micromechanical considerations of unsaturated pyramidal packing.” Geotechnique, 53, 195–206.
Nakano, M. (1976a). “Pore volume distribution and curve of water content versus suction of porous body. I: Two boundary drying curves.” Soil Sci., 122, 5–14.
Nakano, M. (1976b). “Pore volume distribution and curve of water content versus suction of porous body. II: The boundary wetting curve.” Soil Sci., 122, 100–106.
Or, D., and Tuller, M. (1999). “Liquid retention and interfacial area in variably saturated porous media: Upscaling from single-pore to sample-scale model.” Water Resour. Res., 35(12), 3591–3605.
Orr, F. M., Scriven, L. E., and Rivas, A. P. (1975). “Pendular rings between solids: Meniscus properties and capillary force.” J. Fluid Mech., 67, 723–742.
Phillip, J. R. (1977). “Unitary approach to capillary condensation and adsorptions.” J. Chem. Phys., 66, 5069–5075.
Rascón, C., and Parry, A. O. (2001). “Adsorption isotherms and surface geometry.” Fluid Phase Equilib., 185, 147–155.
Scovazzo, P., and Todd, P. (2001). “Modeling disjoining pressure in submicrometer liquid-filled cylindrical geometries.” J. Colloid Interface Sci., 238, 230–237.
Sture, S., and Kim, T.-K. (2002). “Experimental study: Influence of moisture on tensile strength in granular soil.” Proc., 2nd Int. Conf. on Geotechnical and Geoenvironmental Engineering in Arid Lands (GEO2002), King Saud University, Riyadh, Saudi Arabia.
Tabuchi, T. (1966a). “Theory of suction drain from the saturated ideal soil: Analysis of capillary moisture-distribution curve.” Soil Sci., 102, 161–166.
Tabuchi, T. (1966b). “Experiment on suction drain from an ideal soil.” Soil Sci., 102, 329–332.
Tabuchi, T. (1971). “Theory of suction drain from the saturated ideal soil. II: Approximate equation of the capillary moisture distribution curve.” Soil Sci., 112, 448–453.
Tuller, M., Or, D., and Dudley, L. M. (1999). “Adsorption and capillary condensation in porous media: Liquid retention and interfacial configurations in angular pores.” Water Resour. Res., 35(7), 1949–1964.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 5 • May 2006
Pages: 565 - 577
Copyright
© 2006 ASCE.
History
Received: Nov 7, 2003
Accepted: Oct 13, 2004
Published online: May 1, 2006
Published in print: May 2006
Notes
Note. Associate Editor: Jin Y. Ooi
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