Modeling Soil Water Retention Curve with a Fractal Method

Brooks, R. H. and Corey, A. T. 1964. Hydraulic properties of porous media, Hydrol. Pap. 3, Colorado State Univ., Fort Collins, CO.

Campbell, 1974, A simple method for determining unsaturated hydraulic conductivity from moisture retention data, Soil Sci, 177, 311, 10.1097/00010694-197406000-00001

Carsel, 1988, Developing joint probability distributions of soil water retention characteristics, Water Resour. Res, 24, 755, 10.1029/WR024i005p00755

Clapp, 1978, Empirical equations for some soil hydraulic properties, Water Resour. Res, 14, 601, 10.1029/WR014i004p00601

de Gennes, 1985, Partial filling of a fractal structure by a wetting fluid, 227

Elsenbeer, 2001, Pedotransfer functions in hydrology, J. Hydrol., 251, 121, 10.1016/S0022-1694(01)00463-2

Filgueira, 1999, Comparison of fractal dimensions estimated from aggregate mass-size distribution and water retention scaling, Soil Sci., 164, 217, 10.1097/00010694-199904000-00001

Hillel, 1998, 757

Huang, 2002, Fractal property of soil particle size distribution and its application, Acta Pedologica Sinica (in Chinese), 39, 490

Kravchenko, 1998, Estimating the soil water retention from particle-size distributions: A fractal approach, Soil Sci., 163, 171, 10.1097/00010694-199803000-00001

Leij, 1997, Closed-form expressions for water retention and conductivity data, Ground Water, 35, 848, 10.1111/j.1745-6584.1997.tb00153.x

Liu, 2003, Figuring soil water characteristic curve based on particle size distribution data: Application of fractal method, Acta Pedologica Sinica (in Chinese), 40, 46

Mandelbrot, 1983, 468

Minasny, 1999, Comparison of different approaches to the development of pedotransfer functions for water-retention curves, Geoderma., 93, 225, 10.1016/S0016-7061(99)00061-0

Perfect, 1998, Reply to comments on “An improved fractal equation for the soil water retention curve”, Water Resour. Res., 34, 933, 10.1029/97WR03381

Perfect, 1999, Estimating soil mass fractal dimensions from water retention curves, Geoderma., 88, 221, 10.1016/S0016-7061(98)00128-1

Perfect, 1996, An improved fractal equation for the soil water retention curve, Water Resour. Res., 32, 281, 10.1029/95WR02970

Perrier, 1996, Models of water retention curve for soils with fractal pore size distribution, Water Resour. Res., 32, 3025, 10.1029/96WR01779

Rawls, 1982, Estimation of soil water properties, Trans. ASAE, 25, 1316, 10.13031/2013.33720

Rieu, 1991, Fractal fragmentation, soil porosity, and soil water properties: I. Theory, Soil Sci. Soc. Am. J., 55, 1231, 10.2136/sssaj1991.03615995005500050006x

Rieu, 1991, Fractal fragmentation, soil porosity and soil water properties: II. Applications, Soil Sci. Soc. Am. J., 55, 1239, 10.2136/sssaj1991.03615995005500050007x

Rossi, 1994, Modeling of soil water retention from saturation to oven dryness, Water Resour. Res., 30, 701, 10.1029/93WR03238

Russo, 1988, Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties, Water Resour. Res., 24, 453, 10.1029/WR024i003p00453

Schaap, 1996, Modeling water retention curves of sandy soils using neural networks, Water Resour. Res., 32, 3033, 10.1029/96WR02278

Schaap, 1998, Neural network analysis for hierarchical prediction of soil hydraulic properties, Soil Sci. Soc. Am. J., 62, 847, 10.2136/sssaj1998.03615995006200040001x

Scheinost, 1997, Regionalization of soil water retention curves in a highly variable soil scope: I. Developing a new pedotransfer function, Geoderma., 78, 129, 10.1016/S0016-7061(97)00046-3

Tyler, 1990, Fractal processes in soil water retention, Water Resour. Res., 26, 1047, 10.1029/WR026i005p01047

Tyler, 1992, Fractal scaling of soil particle size distributions: Analysis and limitations, Soil Sci. Soc. Am. J., 56, 362, 10.2136/sssaj1992.03615995005600020005x

van Genuchten, 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892, 10.2136/sssaj1980.03615995004400050002x

Vereecken, 1989, Estimating the soil moisture retention characteristics from texture, bulk density, and carbon content, Soil Sci., 148, 389, 10.1097/00010694-198912000-00001

Wösten, 1988, Using texture and other soil properties to predict the unsaturated soil hydraulic functions, Soil Sci. Soc. Am. J., 52, 1762, 10.2136/sssaj1988.03615995005200060045x

Wösten, 2001, Pedotransfer functions: Bridging the gap between available basic soil data and missing soil hydraulic characteristics, J. Hydrol., 251, 123, 10.1016/S0022-1694(01)00464-4