An equation to represent grain-size distribution

By M. Fredlund, D. Fredlund, G. Wilson. 2000

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Predicting the soil moisture retention curve, from soil particle size distribution and bulk density data using a packing density scaling factor (2014, methodology): “Because of the close similarity between the shapes of the PSD and SMC curves, many researchers expressed an SMC model in terms of a PSD model (Haverkamp and Parlange, 1982; Fredlund et al., 2000; Zhuang et al., 2001).”
Soil-Water Characteristic Curve Equation with Independent Properties (2004, background): “Statistical assess of SWCCs and the grouping of soils with typical fitti parameters also become difficult~Fredlund et al. 2000!.”
Predicting the Soil Moisture Characteristic Curve from Particle Size Distribution with a Simple Conceptual Model (2011, methodology): “Using the closed-form expression of the van Genuchten SMC model (van Genuchten, 1980) does not allow predicting the PSD correctly in all soils (Fredlund et al., 2000).”
Predicting Soil Moisture Characteristic Curves from Continuous Particle-Size Distribution Data (2013, methodology): “, 1993), and Fredlund model (Fredlund et al., 2000), each with different numbers of fitting parameters.”