A fractal-based model for soil water characteristic curve over entire range of water content
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Abstract
Soil water characteristic curve (SWCC) has been an important role in hydraulic engineering, civil engineer and petroleum engineering, etc. Most of SWCC models neglected the film flow in the dry state, so that they cannot accurately describe the SWCC over entire range of water content. In this work, an alternative fractal model is proposed to predict the SWCC over entire range of water content by combining Campbell and Shiozawa model and Tao model. The proposed model can well predict twelve sets of experimental data, and its parameters, including the fractal dimension, the saturated volumetric water content, the matric suction at oven-dry condition, and the air-entry value, accord with theoretical value. The results show that there is a strong linear relationship between volumetric water content and matrix suction in log-log scale for different fractal pore-size distribution of soils. In addition, good agreement is obtained between the experimental data and the model predictions in all of the cases.
Cited as: Jin, T., Cai, X., Chen, Y., Jiang, S., Wei, W. A fractal-based model for soil water characteristic curve over entire range of water content. Capillarity, 2019, 2(4): 66-75, doi: 10.26804/capi.2019.04.02
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Al Haj, K.M.A., Standing, J.R. Soil water retention curves representing two tropical clay soils from Sudan. Geotechnique 2016, 66(1): 71-84.
Arya, L.M., Paris, J.F. A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data 1. Soil Sci. Soc. Am. J. 1981, 45(6): 1023-1030.
Assouline, S. A model for soil relative hydraulic conductivity based on the water retention characteristic curve. Water Resour. Res. 2001, 37(2): 265-271.
Aubertin, M., Mbonimpa, M., Bussiere, B.R., et al. A model to predict the water retention curve from basic geotechnical properties. Can. Geotech. J. 2003, 40(6): 1104-1122.
Brooks, R., Corey, A. Hydraulic properties of porous media. Fort Collins, CO, USA, Colorado State University, 1964.
Campbell, G., Shiozawa, S. Prediction of hydraulic properties of soils using particle-size distribution and bulk density data, in Indirect Methods for Estimating the Hydraulic Properties of Unsaturated Soils, edited by T. M. van Genuchten, F. J. Leij and L. J. Lund, University of California, Riverside, Calif, USA, pp. 317-328, 1992.
Chen, C., Hu, K.L., Ren, T.S., et al. A simple method for determining the critical point of the soil water retention curve. Soil Sci. Soc. Am. J. 2017, 81(2): 250-258.
Cobos, D.R., Rivera., L.D., Campbell., G.S. Can the dry-end (-1 to -1000 MPa) soil water characteristic curve be well characterized with a single point? Paper Presented at SSSA International Annual Meetings, California, USA, 10-13 November, 2014.
De Bartolo, S., Fallico, C., Severino, G., et al. Two fractal regimes of the soil hydraulic properties. Appl. Math. 2014, 5(12): 1773-1779.
Fredlund, D.G. Unsaturated soil mechanics in engineering practice. J. Geotech. Geoenviron. Eng. 2006, 132(3): 286-321.
Fredlund, D.G., Xing, A.Q. Equations for the soil-water characteristic curve. Can. Geotech. J. 1994, 31(4): 521- 532.
Fredlund, D.G., Xing, A.Q., Fredlund, M.D., et al. The relationship of the unsaturated soil shear strength to the soil-water characteristic curve. Can. Geotech. J. 1996, 33(3): 440-448.
Gallipoli, D., Gens, A., Sharma, R., et al. An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour. G´eotechnique 2003, 53(1): 123-135.
Iden, S.C., Durner, W. Comment on “Simple consistent models for water retention and hydraulic conductivity in the complete moisture range” by A. Peters. Water Resour. Res. 2014, 50(9): 7530-7534.
Jensen, D.K., Tuller, M., de Jonge, L.W., et al. A new two- stage approach to predicting the soil water characteristic from saturation to oven-dryness. J. Hydrol. 2015, 521: 498-507.
Kosugi, K. Lognormal distribution model for unsaturated soil hydraulic properties. Water Resour. Res. 1996, 32(9): 2697-2703.
Kravchenko, A., Zhang, R.D. Estimating the soil water retention from particle-size distributions: A fractal approach. Soil Sci. 1998, 163(3): 171-179.
Lebeau, M., Konrad, J.M. A new capillary and thin film flow model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 2010, 46, W12554.
Likos, W.J., Lu, N. Automated humidity system for measuring total suction characteristics of clay. Geotech. Test. J. 2003, 26(2): 179-190.
Lu, N. Generalized soil water retention equation for adsorption and capillarity. J. Geotech. Geoenviron. Eng. 2016, 142(10): 04016051.
Lu, S., Ren, T., Gong, Y., et al. Evaluation of three models that describe soil water retention curves from saturation to oven dryness. Soil Sci. Soc. Am. J. 2008, 72(6): 1542- 1546.
Mandelbrot, B.B. The fractal geometry of nature. New York, USA, WH freeman, 1982.
Mbonimpa, M., Aubertin, M., Maqsoud, A., et al. Predictive model for the water retention curve of deformable clayey soils. J. Geotech. Geoenviron. Eng. 2006, 132(9): 1121- 1132.
Mehta, B.K., Shiozawa, S., Nakano, M. Hydraulic-properties of a sandy soil at low water contents. Soil Sci. 1994, 157(4): 208-214.
Montes-H, G., Duplay, J., Martinez, L., et al. Influence of interlayer cations on the water sorption and swelling- shrinkage of MX80 bentonite. Appl. Clay Sci. 2003, 23(5-6): 309-321.
Oh, S., Lu, N., Yun, K.K., et al. Relationship between the soil-water characteristic curve and the suction stress characteristic curve: experimental evidence from residual soils. J. Geotech. Geoenviron. Eng. 2012, 138(1): 47-57.
Pachepsky, Y., Shcherbakov, R.A., Varallyay, G., et al. On obtaining soil hydraulic conductivity curves from water retention curves. Pochvovedenie 1984, 10: 60-72.
Perfect, E. Estimating soil mass fractal dimensions from water retention curves. Geoderma 1999, 88(3-4): 221-231.
Peters, A. Simple consistent models for water retention and hydraulic conductivity in the complete moisture range. Water Resour. Res. 2013, 49: 6765-6780.
Rossi, C., Nimmo, J.R. Modeling of soil-water retention from saturation to oven dryness. Water Resour. Res. 1994, 30(3): 701-708.
Rudiyanto, Sakai, M., van Genuchten, M.T., et al. A complete soil hydraulic model accounting for capillary and adsorp- tive water retention, capillary and film conductivity, and hysteresis. Water Resour. Res. 2015, 51: 8757-8772.
Russell, A.R. How water retention in fractal soils depends on particle and pore sizes, shapes, volumes and surface areas. Géotechnique 2014, 64(5): 379-390.
Schneider, M., Goss, K.U. Prediction of the water sorption isotherm in air dry soils. Geoderma 2012, 170: 64-69.
Silva, O., Grifoll, J. A soil-water retention function that includes the hyper-dry region through the BET adsorption isotherm. Water Resour. Res. 2007, 43, W11420.
Tao, G., Chen, Y., Kong, L., et al. A simple fractal-based model for soil-water characteristic curves incorporating effects of initial void ratios. Energies 2018, 11(6): 1419.
Tao, H.L., Chen, C., Jiang, P., et al. Soil water characteristic curves based on particle analysis. Procedia Eng. 2017, 174: 1289-1295.
Tokunaga, T.K. Hydraulic properties of adsorbed water films in unsaturated porous media. Water Resour. Res. 2009, 45, W06415.
Tuller, M., Or, D. Water films and scaling of soil characteristic curves at low water contents. Water Resour. Res. 2005, 41, W09403.
Van Genuchten, M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 1980, 44: 892-898.
Wang, Y.Q., Jin, M.G., Deng, Z.J. Alternative model for predicting soil hydraulic conductivity over the complete moisture range. Water Resour. Res. 2018, 54: 6860-6876.
Wang, Y.Q., Ma, J.Z., Guan, H.D. A mathematically continuous model for describing the hydraulic properties of unsaturated porous media over the entire range of matric suctions. J. Hydrol. 2016, 541: 873-888.
Wheeler, S.J. Inclusion of specific water volume within an elasto-plastic model for unsaturated soil. Can. Geotech. J. 1996, 33(1): 42-57.
Xu, Y.F. Calculation of unsaturated hydraulic conductivity using a fractal model for the pore-size distribution. Comput. Geotech. 2004, 31(7): 549-557.
Yang, S., Lu, T.H. Study of soil-water characteristic curve using microscopic spherical particle model. Pedosphere 2012, 22(1): 103-111.
Zhang, Z.F. Soil water retention and relative permeability for conditions from oven-dry to full saturation. Vadose Zone J. 2011, 10(4): 1299-1308.
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