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.
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Sillers, W.S., Fredlund, D.G., Zakerzadeh, N. (2001). Mathematical attributes of some soil—water characteristic curve models. In: Toll, D.G. (eds) Unsaturated Soil Concepts and Their Application in Geotechnical Practice. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9775-3_3
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DOI: https://doi.org/10.1007/978-94-015-9775-3_3
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