Pore-Scale Model for Estimating Saturated and Unsaturated Hydraulic Conductivity from Grain Size Distribution
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VIEW THE REPLYPublication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 140, Issue 2
Abstract
An approach is presented for predicting saturated hydraulic conductivity () and the unsaturated hydraulic conductivity function (HCF) of coarse-grained soils using pore-scale modeling of liquid configurations in idealized unit pores. Procedures are described for estimating and the HCF from simple measurements of grain size distribution (GSD) obtained using mechanical sieve analysis. Measured GSD is converted into an equivalent population of spherical particles arranged to form subassemblies representing relatively loose and relatively dense particle configurations. Capillary theory and the geometry of unit pores formed within the particle subassemblies are used to quantify pore-scale liquid configurations as a function of matric suction. Corresponding hydraulic conductivity is calculated from pore-scale hydrodynamic considerations. Comparison between measured and predicted for a suite of sand-sized soils demonstrates that the approach is an improvement over existing approaches, based solely on empirical correlation between hydraulic conductivity and GSD, porosity, or fractional grain size (e.g., ). The unsaturated HCF is effectively predicted to degrees of saturation as low as 20%. Assumptions and constraints in the framework restrict the applicability of the model to materials with a rigid matrix, with particles predominantly in the sand- to silt-sized range.
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Acknowledgments
This material is based upon work supported by the National Science Foundation (NSF) under Grant CMMI 0968768. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of NSF.
References
Alyamani, M. S., and Sen, Z. (1993). “Determination of hydraulic conductivity from grain-size distribution curves.” Ground Water, 31(4), 551–555.
ASTM. (2006). “Standard test method for permeability of granular soils (constant head).” ASTM D2434-68, West Conshohocken, PA.
ASTM. (2007). “Standard test method for particle-size analysis of soils.” ASTM D422-63, West Conshohocken, PA.
Boadu, F. K. (2000). “Hydraulic conductivity of soils from grain-size distribution: New models.” J. Geotech. Geoenviron. Eng., 739–746.
Carman, P. C. (1937). “Fluid flow through granular beds.” Trans. Inst. Chem. Eng., 15, 150–166.
Carman, P. C. (1956). Flow of gases through porous media, Butterworths Scientific Publications, London.
Chan, T. P., and Govindaraju, R. S. (2003). “A new model for soil hydraulic properties based on a stochastic conceptualization of porous media.” Water Resources Res., 39(7), 1195.
Chan, T. P., and Govindaraju, R. S. (2004). “Estimating soil water retention curve from particle-size distribution based on polydisperse sphere systems.” Vadose Zone J., 3(4), 1443–1454.
Gao, B., and Saiers, J. E. (2006). “Pore-scale mechanisms of colloid deposition and mobilization during steady and transient flow through unsaturated granular media.” Water Resources Res., 42(1), 1–9.
Hazen, A. (1892). “Some physical properties of sands and gravels, with special reference to their use in filtration.” 24th Annual Rep. Publication No. 34, Massachusetts State Board of Health, 539–556.
Humes, C. (1996). “A new approach to compute the void size distribution curves of protective filters.” Geofilters ’96, J. Lafleur and A. L. Rollin, eds., Bitech, Montréal, 57–66.
Indraratna, B., Nguyen V. T., and Rujikiatkamjorn, C. (2012). “Hydraulic conductivity of saturated granular soils using a constriction-based technique.” Can. Geotech. J., 49(5), 607–613; includes corrigendum, 49(6), 754.
Jaafar, R., and Likos, W. J. (2011). “Estimating water retention characteristics of sands from grain size distribution using idealized packing conditions.” Geotech. Testing J., 34(5), 489–502.
Kresic, N. 1998, Quantitative solutions in hydrogeology and groundwater modeling, CRC Press, Boca Raton, FL.
Likos, W. J., and Jaafar, R. (2013). “Pore-scale model for water retention and fluid partitioning of partially saturated granular soil.” J. Geotech. Geoenviron. Eng., 724–737.
Locke, M., Indraratna, B., and Adikari, G. (2001). “Time-dependent particle transport through granular filters.” J. Geotech. Geoenviron. Eng., 521–529.
Mason, G., and Morrow, N. (1991). “Capillary behavior of a perfectly wetting liquid in irregular triangular tubes.” J. Colloid Interface Sci., 141(1), 262–274.
Mualem, Y. (1976). “A new model for predicting the hydraulic conductivity of unsaturated porous media.” Water Resources Res., 12(3), 513–522.
Nemes, A., Schaap, M. G., and Leij, F. J. (1999). UNSODA database version 2.0, USDA Agricultural Research Service, Washington, DC.
Odong, J. (2007). “Evaluation of empirical formulae for determination of hydraulic conductivity based on grain-size analysis.” J. Am. Sci., 3(3), 54–60.
Olanrewaju, J. N., and Wong, T. (1994). Hydraulic conductivity, porosity, and particle size distribution of core samples of the upper glacial aquifer: Laboratory observations, State Univ. of New York at Stony Brook, Stony Brook, NY, 73–79.
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 Resources Res., 35(12), 3591–3605.
Philip, J. R. (1977). “Unitary approach to capillary condensation and adsorption.” J. Chem. Phys. 66(11), 5069–5075.
Princen, H. M. (1992). “Capillary pressure behavior in pores with curved triangular cross-section: Effect of wettability and pore size distribution.” Colloids Surfaces, 65(2–3), 221–230.
Rockhold, M. L., Fayer, M. J., and Gee, G. W. (1988). “Characterization of unsaturated hydraulic conductivity at the Hanford site.” PNL-6488, Pacific Northwest Laboratory, Richland, WA.
Scheuermann, A., and Bieberstein, A. (2007). “Determination of the soil water retention curve and the unsaturated hydraulic conductivity from the particle size distribution.” Experimental unsaturated soil mechanics, T. Schanz, ed., Springer, New York, 421–433.
Silveira, A., de Lorena Peixoto, T., and Nogueira, J. (1975). “On void size distribution of granular materials.” Proc., 5th Pan-American Conf. Soil Mechanics Foundation Engineering, Buenos Aires, Argentina, 161–176.
Slichter, C. S. (1898). “Theoretical investigation of the motion of ground waters.” 19th Annual Report, Part II, USGS, Washington, DC, 295–384.
Tuller, M., and Or, D. (2001). “Hydraulic conductivity of variably saturated porous media: Film and corner flow in angular pore space.” Water Resources Res., 37(5), 1257–1276.
Tuller, M., and Or, D. (2002), “Unsaturated hydraulic conductivity of structured porous media: A review of liquid configuration-based models.” Vadose Zone J., 1(1), 14–37.
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 Resources Res., 35(7), 1949–1964.
Vukovic, M., and Soro, A. (1992). Determination of hydraulic conductivity of porous media from grain-size composition, Water Resources Publications, Littleton, CO.
Yeh, T., and Harvey, D. (1990). “Effective unsaturated hydraulic conductivity of layered sands.” Water Resources Res., 26(6), 1271–1279.
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© 2013 American Society of Civil Engineers.
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Received: Mar 21, 2013
Accepted: Aug 14, 2013
Published online: Aug 19, 2013
Published in print: Feb 1, 2014
Discussion open until: Apr 20, 2014
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