Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application
Based on the Tao and Kong (TK) model and the fractal model of the soil–water characteristic curve, a simplified model of the relationship between the saturated permeability coefficient and the air-entry value is established in this study: <i>k<sub>s</sub></i> = <i>k<...
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| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/4/180 |
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| author | Gaoliang Tao Zhijia Wu Wentao Li Yi Li Heming Dong |
| author_facet | Gaoliang Tao Zhijia Wu Wentao Li Yi Li Heming Dong |
| author_sort | Gaoliang Tao |
| collection | DOAJ |
| description | Based on the Tao and Kong (TK) model and the fractal model of the soil–water characteristic curve, a simplified model of the relationship between the saturated permeability coefficient and the air-entry value is established in this study: <i>k<sub>s</sub></i> = <i>k</i><sub>0</sub><i>ψ<sub>a</sub></i><sup>−2</sup>. It is shown that the saturated permeability coefficient of soil is determined by its maximum pore size. In order to facilitate the mutual prediction of saturation permeability coefficient and air-entry value, based on the data of five types of soil in the UNSODA database, the comprehensive proportionality constant <i>k</i><sub>0</sub> of the five types of soil were obtained: sand <i>k</i><sub>0</sub> = 0.03051; clay <i>k</i><sub>0</sub> = 0.001878; loam <i>k</i><sub>0</sub> = 0.001426; sandy loam <i>k</i><sub>0</sub> = 0.009301; and silty clay loam <i>k</i><sub>0</sub> = 0.0007055. Based on the obtained comprehensive proportionality constant <i>k</i><sub>0</sub> and the relationship model between saturated permeability coefficient and air intake value, the air-entry value of five kinds of soils in the existing literature and the SoilVision database were calculated. Comparing the calculated air-entry value with the measured one, the results showed that the model simplifies the traditional air-entry value prediction method to some extent and can effectively predict the air-entry value of different types of soil. On the whole, the model better predicts the air-entry value for sandy, clay, and silty clay loam than loam and sandy loam. |
| first_indexed | 2024-03-10T04:05:07Z |
| format | Article |
| id | doaj.art-317537bd6f24402ea557ff8b7c531541 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:05:07Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-317537bd6f24402ea557ff8b7c5315412023-11-23T08:23:23ZengMDPI AGFractal and Fractional2504-31102021-10-015418010.3390/fractalfract5040180Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its ApplicationGaoliang Tao0Zhijia Wu1Wentao Li2Yi Li3Heming Dong4School of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Engineering, Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaShiyan City Transportation Investment Co., Ltd., Shiyan 442000, ChinaBased on the Tao and Kong (TK) model and the fractal model of the soil–water characteristic curve, a simplified model of the relationship between the saturated permeability coefficient and the air-entry value is established in this study: <i>k<sub>s</sub></i> = <i>k</i><sub>0</sub><i>ψ<sub>a</sub></i><sup>−2</sup>. It is shown that the saturated permeability coefficient of soil is determined by its maximum pore size. In order to facilitate the mutual prediction of saturation permeability coefficient and air-entry value, based on the data of five types of soil in the UNSODA database, the comprehensive proportionality constant <i>k</i><sub>0</sub> of the five types of soil were obtained: sand <i>k</i><sub>0</sub> = 0.03051; clay <i>k</i><sub>0</sub> = 0.001878; loam <i>k</i><sub>0</sub> = 0.001426; sandy loam <i>k</i><sub>0</sub> = 0.009301; and silty clay loam <i>k</i><sub>0</sub> = 0.0007055. Based on the obtained comprehensive proportionality constant <i>k</i><sub>0</sub> and the relationship model between saturated permeability coefficient and air intake value, the air-entry value of five kinds of soils in the existing literature and the SoilVision database were calculated. Comparing the calculated air-entry value with the measured one, the results showed that the model simplifies the traditional air-entry value prediction method to some extent and can effectively predict the air-entry value of different types of soil. On the whole, the model better predicts the air-entry value for sandy, clay, and silty clay loam than loam and sandy loam.https://www.mdpi.com/2504-3110/5/4/180modelsaturated permeability coefficientair-entry valuemaximum porecomprehensive proportionality constant |
| spellingShingle | Gaoliang Tao Zhijia Wu Wentao Li Yi Li Heming Dong Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application Fractal and Fractional model saturated permeability coefficient air-entry value maximum pore comprehensive proportionality constant |
| title | Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application |
| title_full | Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application |
| title_fullStr | Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application |
| title_full_unstemmed | Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application |
| title_short | Simplified Relation Model of Soil Saturation Permeability Coefficient and Air-Entry Value and Its Application |
| title_sort | simplified relation model of soil saturation permeability coefficient and air entry value and its application |
| topic | model saturated permeability coefficient air-entry value maximum pore comprehensive proportionality constant |
| url | https://www.mdpi.com/2504-3110/5/4/180 |
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