任长江, 赵勇, 王建华, 龚家国, 田济扬. 斥水性土壤水分入渗试验和模型[J]. 水科学进展, 2018, 29(6): 839-847. DOI: 10.14042/j.cnki.32.1309.2018.06.009
引用本文: 任长江, 赵勇, 王建华, 龚家国, 田济扬. 斥水性土壤水分入渗试验和模型[J]. 水科学进展, 2018, 29(6): 839-847. DOI: 10.14042/j.cnki.32.1309.2018.06.009
REN Changjiang, ZHAO Yong, WANG Jianhua, GONG Jiaguo, TIAN Jiyang. An experimental and modeling study of water infiltration on water-repellent soil[J]. Advances in Water Science, 2018, 29(6): 839-847. DOI: 10.14042/j.cnki.32.1309.2018.06.009
Citation: REN Changjiang, ZHAO Yong, WANG Jianhua, GONG Jiaguo, TIAN Jiyang. An experimental and modeling study of water infiltration on water-repellent soil[J]. Advances in Water Science, 2018, 29(6): 839-847. DOI: 10.14042/j.cnki.32.1309.2018.06.009

斥水性土壤水分入渗试验和模型

An experimental and modeling study of water infiltration on water-repellent soil

  • 摘要: 为研究斥水性土壤水分入渗规律,并探寻适用于斥水性土壤水分入渗的数学模型,以妫水河流域亲水性和斥水性土壤为研究对象,开展室内一维垂直土柱入渗试验;分别采用Kostiakov分段函数、Fourier级数、一阶Gaussian函数以及Gaussian分段函数对斥水性土壤入渗率进行拟合。试验结果表明:亲水性土壤入渗率随时间呈单调减小变化趋势,斥水性土壤入渗一段时间后累积入渗量会出现翘尾现象,入渗率为先增大后减小的单峰曲线。模型图形分析表明: Kostiakov分段函数入渗率在拐点处同时存在一个极大值和极小值,Fourier级数存在多个波峰,一阶Gaussian函数不能反映入渗率在拐点后大于拐点前的试验现象,因而均难以真实反映斥水性水分入渗过程。忽略水分开始快速入渗过程,Gaussian分段函数模型不仅能够反映入渗率在拐点前的单调增以及拐点后的单调减过程,同时也能够体现入渗率在拐点后大于拐点前的试验现象。

     

    Abstract: This study explores the infiltration law for water-repellent soil and identifies the most suitable mathematical model. A laboratory experiment was conducted using a one-dimensional vertical soil column, and the water infiltration into this column was measured for both hydrophilic and hydrophobic soils from the Guishui River basin. The experimental data were then fitted using a Kostiakov piecewise function, Fourier series, first-order Gaussian function, and Gaussian piecewise function. The results indicate that the cumulative infiltration increases to a plateau, whereas, for hydrophobic soil, the infiltration rate is a single-peak curve that increases and then decreases with time. Model graphical analysis shows that the Kostiakov piecewise function model has a maximum and a minimum value appear simultaneously at inflection point of infiltration rate. The produces multiple peaks that do not reflect the monotone increase and decrease of the infiltration rate either side of the peak for Fourier series model. The first-order Gaussian function model cannot replicate the test phenomenon whereby the infiltration rate after the maximum is greater than before. If we ignore the rapid infiltration process at the beginning of the experiment, the Gaussian piecewise function model not only reflects the monotone increase and decrease either side of the peak infiltration rate, but also produces the experimental phenomenon whereby the infiltration rate after the maximum is greater than before.

     

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