Wetting Front Expansion Model for Non-Ponding Rainfall Infiltration in Soils with Uniform and Non-Uniform Initial Moisture Content
Abstract
:1. Introduction
2. The Improved Model for Non-Ponding Infiltration
2.1. The Infiltration Model with the Hypothesis of Uniform Initial Moisture Content
2.2. The Infiltration Model with Initial Moisture Content Varying with Depth
3. Result Analysis and Verification
3.1. Comparison under the Hypothesis of Uniform Moisture Content
3.2. Comparison under the Hypothesis of Non-Uniform Moisture Content
4. Discussion
5. Conclusions
- (1)
- In the analysis of non-ponding rainfall infiltration, the model proposed in this paper is more in line with the distribution of moisture content in the actual infiltration process than the traditional model, and better able to reveal the variation trend of soil surface moisture content and wetting front depth with rainfall time.
- (2)
- Under the two hypotheses of uniform moisture content and non-uniform moisture content, before the critical moisture content, to reach the same surface moisture content, the time required for the former is longer than the latter if the rainfall intensity is small. When the rainfall intensity increases to a certain extent, the time difference does not change significantly.
- (3)
- Due to the variation in moisture content over time, the moisture content calculated by the proposed model is lower than that of the traditional Mein-Larson model under the same rain intensity and duration, but the wetting front depth is significantly higher than the latter, which has a wider scope of influence on soil moisture content, indicating that long-term unsaturated infiltration can affect the moisture content of deeper soil, thus causing slope instability.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | Ks/(m/s) | α/m−1 | n | |||
---|---|---|---|---|---|---|
Value | 5.8 × 10−6 | 0.4 | 0.015 | 0.2 | 1.5 | 1.5 |
Rainfall Intensity (m/s) | Maximum Error (%) |
---|---|
1 × 10−6 | 3.6 |
2 × 10−6 | 4.5 |
Rainfall Intensity (m/s) | Maximum Error (%) |
---|---|
1 × 10−7 | 1.16 |
5 × 10−7 | 3.45 |
1 × 10−6 | 3.93 |
2 × 10−6 | 3.94 |
4 × 10−6 | 3.24 |
Rainfall Intensity (m/s) | Maximum Error (%) |
---|---|
1 × 10−7 | 2.08 |
5 × 10−7 | 3.84 |
1 × 10−6 | 4.21 |
2 × 10−6 | 3.89 |
4 × 10−6 | 3.51 |
Rainfall Intensity (m/s) | Maximum Error (%)-(Non-Uniform) | Maximum Error (%)-(Uniform) | Maximum Error (%)-(Traditional) |
---|---|---|---|
1 × 10−7 | 1.5 | 1.8 | 39.1 |
5 × 10−7 | 2.8 | 3.2 | 42.2 |
1 × 10−6 | 2.6 | 4.1 | 22.1 |
2 × 10−6 | 4.1 | 4.2 | 20.2 |
4 × 10−6 | 4.8 | 5.1 | 9.8 |
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Yao, M.; Chen, T.; Wei, X.; Tao, W.; Fan, R.; Liu, J. Wetting Front Expansion Model for Non-Ponding Rainfall Infiltration in Soils with Uniform and Non-Uniform Initial Moisture Content. Appl. Sci. 2022, 12, 6185. https://doi.org/10.3390/app12126185
Yao M, Chen T, Wei X, Tao W, Fan R, Liu J. Wetting Front Expansion Model for Non-Ponding Rainfall Infiltration in Soils with Uniform and Non-Uniform Initial Moisture Content. Applied Sciences. 2022; 12(12):6185. https://doi.org/10.3390/app12126185
Chicago/Turabian StyleYao, Maohong, Tielin Chen, Xueda Wei, Wenbin Tao, Rong Fan, and Jingjing Liu. 2022. "Wetting Front Expansion Model for Non-Ponding Rainfall Infiltration in Soils with Uniform and Non-Uniform Initial Moisture Content" Applied Sciences 12, no. 12: 6185. https://doi.org/10.3390/app12126185