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Advances in Materials Science and Engineering
Volume 2017, Article ID 6295078, 15 pages
Research Article

Fitting Performance of Different Models on Loess Particle Size Distribution Curves

1Key Laboratory of Mechanics on Disaster and Environment in Western China and School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu 730000, China
2Geological Hazards Institute, Gansu Academy of Sciences, Lanzhou, Gansu 730000, China

Correspondence should be addressed to Wenwu Chen; nc.ude.uzl@pgnus

Received 27 April 2017; Revised 12 June 2017; Accepted 20 June 2017; Published 9 August 2017

Academic Editor: Luca De Stefano

Copyright © 2017 Wei Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The soil water characteristic curve (SWCC) describes the relationship between matric suction and moisture of soil, the testing process of which is time-consuming. The test time of particle size distribution (PSD), in contrast, is relatively short. Thus, it is quite important to establish a proper model for PSD to forecast SWCC. This paper analyzed PSD of 25 groups of loess by way of laser diffraction technique (LD) and sieve-settlement method. Works were carried out on fitting analysis on PSD with Logarithmic model, Fredlund model, Jaky model, and Gompertz model. Statistical method was used to explain the fitting performance. Meanwhile, an empirical model was put forward. Compared to the four models, the empirical model has fewer parameters, simple model form, and smaller fluctuations of parameters. Results of LD showed higher clay content but lower silt content. It is suggested that Fredlund model or the empirical model be adopted to forecast SWCC of Malan loess.