Technical Papers
Nov 11, 2014

Analytical Model of Soil-Water Characteristics Considering the Effect of Air Entrapment

Publication: International Journal of Geomechanics
Volume 15, Issue 6

Abstract

Based on experimental data and the flow property analysis of the drying-wetting process of fluids under a microscope, a theoretical model is developed to consider the effect of air entrapment in the soil-water retention constitutive relationship. The effect of hysteresis on the fluid flow is considered by introducing an integrated capillary hysteretic model. There are only three conditions needed in the new model, i.e., the primary drying boundary curve, the main wetting boundary curve, and one point in the main hysteretic loop. Furthermore, as long as the previously experienced maximum matric suction in the porous medium is given, the model is capable of simulating changes of the soil-water state with the effect of air entrapment undergoing an arbitrary change of matric suction. By comparing the predictive curves with measured data from the literature, it is shown that the effects of air entrapment and capillary hysteresis are significant on the soil-water retention relationships. The model with the effects of capillary hysteresis and air entrapment should be taken into account in the soil-water relationship in order to accurately predict soil-moisture states in porous media.

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Acknowledgments

The research is supported by the National Natural Science Foundation of China (Grant No. 11302243 and 11372078) and the Major Program of the National Natural Science Foundation of China (Grant No. 51239010).

References

Bond, W. J., and Collis-George, N. (1981). “Ponded infiltration into simple soil systems: 1. The saturation and transition zones in the moisture content profiles.” Soil Sci., 131(4), 202–209.
Chen, P., Wei, C., Liu, J., and Ma, T. (2013). “Strength theory model of unsaturated soils with suction stress concept.” J. Appl. Math., 2013, 756854.
Feng, M., and Fredlund, D. G. (1999). “Hysteretic influence associated with thermal conductivity sensor measurements.” Proc., 52nd Canadian Geotechnical and Unsaturated Soil Group Conf.: From Theory to the Practice of Unsaturated Soil Mechanics, BiTech Publishers, Richmond, BC, Canada, 651–657.
Frydman, S., and Baker, R. (2009). “Theoretical soil-water characteristic curves based on adsorption, cavitation, and a double porosity model.” Int. J. Geomech., 250–257.
Gerhard, J. I., and Kueper, B. H. (2003). “Relative permeability characteristics necessary for simulating DNAPL infiltration, redistribution, and immobilization in saturated porous media.” Water Resour. Res., 39(8), 1–16.
Gerhard, J. I., Kueper, B. H., and Hecox, G. R. (1998). “The influence of waterflood design on the recovery of mobile DNAPLs.” Ground Water, 36(2), 283–292.
Hammecker, C., Antonino, A. C. D., Maeght, J. L., and Boivin, P. (2003). “Experimental and numerical study of water flow in soil under irrigation in northern Senegal: Evidence of air entrapment.” Eur. J. Soil Sci., 54(3), 491–503.
Hilpert, M., McBride, J. F., and Miller, C. T. (2000). “Investigation of the residual–funicular nonwetting-phase-saturation relation.” Adv. Water Resour., 24(2), 157–177.
Kechavarzi, C., Soga, K., and Illangasekare, T. H. (2005). “Two-dimensional laboratory simulation of LNAPL infiltration and redistribution in the vadose zone.” J. Contam. Hydrol., 76(3–4), 211–233.
Khoury, N., Brooks, R., Khoury, C., and Yada, D. (2012). “Modeling resilient modulus hysteretic behavior with moisture variation.” Int. J. Geomech., 519–527.
Krishnapillai, S. H., and Ravichandran, N. (2012). “New soil-water characteristic curve and its performance in the finite-element simulation of unsaturated soils.” Int. J. Geomech., 209–219.
Land, C. S. (1968). “Calculation of imbibition relative permeability for two- and three-phase flow from rock properties.” Soc. Pet. Eng. J., 8(2), 149–156.
Lenhard, R. J., Oostrom, M., and Dane, J. H. (2004). “A constitutive model for air–NAPL–water flow in the vadose zone accounting for immobile, non-occluded (residual) NAPL in strongly water-wet porous media.” J. Contam. Hydrol., 71(1–4), 261–282.
Lenhard, R. J., and Parker, J. C. (1987). “A model for hysteretic constitutive relations governing multiphase flow: 2. Permeability-saturation relations.” Water Resour. Res., 23(12), 2197–2206.
Likos, W. J., and Lu, N. (2002). “Hysteresis of capillary cohesion in unsaturated soils.” Proc., 15th ASCE Engineering Mechanics Conf., ASCE, New York, 1–8.
Likos, W. J., and Lu, N. (2004). “Hysteresis of capillary stress in unsaturated granular soil.” J. Eng. Mech., 646–655.
Liu, C., and Muraleetharan, K. K. (2012). “Coupled hydro-mechanical elastoplastic constitutive model for unsaturated sands and silts. I: Formulation.” Int. J. Geomech., 239–247.
Miller, C. T., Poirier-McNeill, M. M., and Mayer, A. S. (1990). “Dissolution of trapped nonaqueous phase liquids: Mass transfer characteristics.” Water Resour. Res., 26(11), 2783–2796.
Miller, G. A., Khoury, C. N., Muraleetharan, K. K., Liu, C., and Kibbey, T. C. G. (2008). “Effects of soil skeleton deformations on hysteretic soil water characteristic curves: Experiments and simulations.” Water Resour. Res., 44(5), W00C06.
Mohamed, M. H., and Sharma, R. S. (2007). “Role of dynamic flow in relationships between suction head and degree of saturation.” J. Geotech. Geoenviron. Eng., 286–294.
Noh, J.-H., Lee, S.-R., and Park, H. (2012). “Prediction of cryo-SWCC during freezing based on pore-size distribution.” Int. J. Geomech., 428–438.
Nuth, M., and Laloui, L. (2008). “Advances in modelling hysteretic water retention curve in deformable soils.” Comput. Geotech., 35(6), 835–844.
Parker, J. C., and Lenhard, R. J. (1987). “A model for hysteretic constitutive relations governing multiphase flow: 1. Saturation-pressure relations.” Water Resour. Res., 23(12), 2187–2196.
Poulovassilis, A. (1970a). “Hysteresis of pore water in granular porous bodies.” Soil Sci., 109(1), 5–12.
Poulovassilis, A. (1970b). “The effect of the entrapped air on the hysteresis curves of a porous body and on its hydraulic conductivity.” Soil Sci., 109(3), 154–162.
Seymour, R. M. (2000). “Air entrapment and consolidation occurring with saturated hydraulic conductivity changes with intermittent wetting.” Irrig. Sci., 20(1), 9–14.
Sharma, R. S., and Mohamed, M. H. A. (2003). “An experimental investigation of LNAPL migration in an unsaturated/saturated sand.” Eng. Geol., 70(3–4), 305–313.
Steffy, D. A., Johnston, C. D., and Barry, D. A. (1998). “Numerical simulations and long-column tests of LNAPL displacement and trapping by a fluctuating water table.” J. Contam. Hydrol., 7(3), 325–356.
Stegemeier, G. L. (1977). “Mechanism of entrapment and mobilization of oil in porous media.” Improved oil recovery by surfactant and polymer flooding, D. O. Shah and R. S. Schechter, eds., Academic, New York, 55–91.
Stonestrom, D. A., and Rubin, J. (1989). “Water content dependence of trapped air in two soils.” Water Resour. Res., 25(9), 1947–1958.
Tan, Y.-C., Ma, K.-C., Chen, C.-H., Ke, K.-Y., and Wang, M.-T. (2009). “A numerical model of infiltration processes for hysteretic flow coupled with mass conservation.” Irrig. Drain., 58(3), 366–380.
Van Geel, P. J., and Roy, S. D. (2002). “A proposed model to include a residual NAPL saturation in a hysteretic capillary pressure–saturation relationship.” J. Contam. Hydrol., 58(1–2), 79–110.
Van Geel, P. J., and Sykes, J. F. (1997). “The importance of fluid entrapment, saturation hysteresis and residual saturations on the distribution of a lighter-than-water non-aqueous phase liquid in a variably saturated sand medium.” J. Contam. Hydrol., 25(3–4), 249–270.
Wardlaw, N. C., and Taylor, R. P. (1976). “Mercury capillary pressure curves and the interpretation of pore structure and capillary behaviour in reservoir rocks.” Bull. Can. Petrol. Geol., 24(2), 225–262.
Wei, C., and Dewoolkar, M. M. (2006). “Formulation of capillary hysteresis with internal state variables.” Water Resour. Res., 42(7), W07405.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 15Issue 6December 2015

History

Received: Apr 9, 2014
Accepted: Oct 22, 2014
Published online: Nov 11, 2014
Published in print: Dec 1, 2015

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Authors

Affiliations

Assistant Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, P.R. China (corresponding author). E-mail: [email protected]
Changfu Wei [email protected]
Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, P.R. China. E-mail: [email protected]
Tiantian Ma [email protected]
Assistant Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, P.R. China. E-mail: [email protected]

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