BI Jun, CHEN Wen-wu, DAI Peng-fei, et al. Influence of correction factor on fitting parameters of various types of Van Genuchten model[J]. 2018, 39(4): 1302-1310.
DOI:
BI Jun, CHEN Wen-wu, DAI Peng-fei, et al. Influence of correction factor on fitting parameters of various types of Van Genuchten model[J]. 2018, 39(4): 1302-1310.DOI: 10.16285/j.rsm.2016.1170.
Influence of correction factor on fitting parameters of various types of Van Genuchten model
Van Genuchten模型应用十分广泛,但是参数m的不同形式以及是否加入校正系数会对Van Genuchten模型的拟合参数造成极大的影响。基于此,考虑m 3种取值(m不受限制、m=1–1/n、m=1–2/n)以及Van Genuchten模型中是否含有校正系数 ,采用Matlab拟合67组砂土土-水特征曲线数据,分别研究残余基质吸力 、 对3个拟合参数a、m、n的影响。结果表明:m不受限制时,随着 增大,参数a、n减小,参数m增大;m受到限制时,随着 增大,参数a减小,参数n增大;m不受限制时,加入校正系数增大了拟合参数a、n的离散程度,但是减小了m的离散程度;m受到限制时,加入校正系数增大了拟合参数a的离散程度,但是减小了n的离散程度;几乎所有工况下的参数a都与无任何限制条件下的参数a呈线性关系;对于参数n,几乎不存在这类线性关系。
Abstract
Van Genuchten model is one of the most commonly and widely used models. Existing research results show that different forms of parameter m and whether the correction factor is taken into consideration can have a great impact on the fitted parameters of Van Genuchten model. Therefore
three forms of parameter m (m refers to (a) without constraints; (b) ; (c)
respectively)
as well as correction factor were studied in the paper. MATLAB was used throughout the calculation process. The effect of Residual matrix suction and on fitted parameters (i.e.
parameters of a
m and n) were discussed based on sixty-seven types of SWCC data. The results show that if m is not constrained
a and n decrease and m increases with increase of . If m is constrained
a decreases and n increases with increase of . Furthermore
the discrete degrees of a and n increase and discrete degree of m decreases when applying the correction factor given a non-constrained m
while discrete degree of a increases and discrete degree of n decreases when m is constrained. The results also indicate that the parameter a under various conditions of m and shows a linear correlation of parameter a without any constraints