The water retention function for a model of soil structure with pore and solid fractal distributions

By N. Bird, E. Perrier, M. Rieu. 2000

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Unsaturated hydraulic conductivity modeling for porous media with two fractal regimes (2013, methodology): “Their results showed that the proposed model predicted hydraulic conductivity more accurately than the Mualem (1976) approach combined with the water retention model of van Genuchten (1980) and PSF (Bird et al., 2000), in particular at low tension heads.”
Predicting the Soil Moisture Characteristic Curve from Particle Size Distribution with a Simple Conceptual Model (2011, background): “In some fractal approaches, however, soil structure rather than the PSD is included in the modeling concepts (Rieu and Sposito, 1991a,b; Bird et al., 2000).”
Fractal dimension of pore-space geometry of an Eocene sandstone formation (2014, methodology): “The fractal dimension can be used in models to predict the unsaturated hydraulic conductivity (Hunt and Gee, 2002), the water retention (Bird et al., 2000), and the geomechanical properties (Hecht, 2000) of soils or the permeability of hard rocks (Pape et al.”
Estimation of the van Genuchten soil water retention properties from soil textural data. (2010, methodology): “The power-law form of the SWRC is a special case of the pore-solid fractal model (Bird et al., 2000; Huang and Zhang, 2005), and has been presented also by de Gennes (1985), Hunt and Gee (2002), and Xu (2004).”