Analytical calculation of steady seepage in unsaturated layered soils

CHEN Peipei; QIAO Dong; WU Nan

doi:10.16030/j.cnki.issn.1000-3665.202309038

2024 Vol. 51, No. 5

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CHEN Peipei, QIAO Dong, WU Nan. Analytical calculation of steady seepage in unsaturated layered soils[J]. Hydrogeology & Engineering Geology, 2024, 51(5): 68-78. doi: 10.16030/j.cnki.issn.1000-3665.202309038

Citation:

CHEN Peipei, QIAO Dong, WU Nan. Analytical calculation of steady seepage in unsaturated layered soils[J]. Hydrogeology & Engineering Geology, 2024, 51(5): 68-78. doi: 10.16030/j.cnki.issn.1000-3665.202309038

Analytical calculation of steady seepage in unsaturated layered soils

1.
School of Science, Beijing University of Civil Engineering and Architecture, Beijing　100044, China
2.
Faculty of Architecture, Civil and Transportation Engineering, Beijing University of Technology, Beijing,　100124, China
3.
School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing　100044, China
4.
College of Smart Manufacturing and Intelligent Transportation, Suzhou City University, Suzhou, Jiangsu　215104, China

Received Date: 14 September 2023

Revised Date: 07 December 2023

Publish Date: 15 September 2024

Abstract

Abstract

The analytical calculations of unsaturated steady-state seepage in the widespread layered soils wewre relatively rare. Based on the Darcy seepage theorem and the continuity condition of soil layer interface, a mathematical model describing the steady seepage process of unsaturated layered soil was constructed. The analytical expressions of matric suction, effective saturation, and suction stress along the elevation for the same profile of layered soil were obtained by using the separation variable technique and mathematical induction. The analytical algorithm was validated based on the COMSOL numerical analysis platform, which enabled the analytical solution of the steady-state seepage process in unsaturated layered soils. Then, the influence of soil layer interface on seepage process was discussed and the sensitivity analysis of parameters was carried out. The analysis shows that: (1) Under the same infiltration conditions, the matric suction of sand at the same elevation is the highest, while that of clay is the lowest. The difference in surface seepage rate has the greatest impact on the distribution of effective saturation in the silt layer, while it has the smallest impact in the sand layer. (2) The suction stress in the clay layer increases almost linearly, while the suction stress in sand increases first and then decreases along the elevation. The presence of soil interface can affect the growth rate of matric suction along the elevation, leading to a sudden change in the distribution of effective saturation and suction stress along the elevation. (3) The smaller Gardner model parameter α, the greater the matric suction value at the same elevation, while the smaller the k_s value of saturated soil, the slower the growth rate of matric suction. The smaller the values of k_s and α, the slower the rate of effective saturation reduction. The smaller the value of α or the larger the value of k_s, the greater the suction stress value at the surface. The research results can provide theoretical support for engineering geological problems such as slope stability.
- unsaturated layered soils /
- steady seepage /
- matric suction /
- effective saturation /
- suction stress /
- analytical solution

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References

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