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Mathematical attributes of some soil–water characteristic curve models
Authors:W Scott Sillers  Delwyn G Fredlund  Noshin Zakerzaheh
Institution:(1) Vemax Management Inc., Edmonton, Alberta, Canada, T6B 2L5;(2) Department of Civil Engineering, University of Saskatchewan, Saskatoon, Sask., Canada, S7N 5A9;(3) Department of Civil Engineering, University of Saskatchewan, Saskatoon, Sask., Canada, S7N 5A9
Abstract:Numerous mathematical models have been proposed in the research literature to represent soil–water characteristic curve data. A number of proposed mathematical models are summarized and the significance of each of the associated soil parameters is illustrated. The advantages and disadvantages of the various mathematical models are outlined. The derivatives for each of the model equations are presented along with comments regarding the efficiency of the best-fit regression procedures.The models using three soil parameters models proved to be superior for representing the wide range of soil suctions required in solving geotechnical problems. Regression analyses using three soil parameters were shown to be numerically more stable, converging with a reasonable number of iterations.
Keywords:pore size distribution  pressure plate test  soil suction  soil–  water characteristic curve  unsaturated soil  water content
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