• Indexed in Scopus
  • Source Journal for Chinese Scientific and Technical Papers and Citations
  • Included in A Guide to the Core Journal of China
  • Indexed in Ei Compendex
LI Guangyao, LIU Zhaolong, FENG Song, ZHAN Liangtong, DU Xiuli. Analytical solution for infiltration into single-layer cover under heavy rainfall events and its application for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(6): 1219-1228. DOI: 10.11779/CJGE20240158
Citation: LI Guangyao, LIU Zhaolong, FENG Song, ZHAN Liangtong, DU Xiuli. Analytical solution for infiltration into single-layer cover under heavy rainfall events and its application for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2025, 47(6): 1219-1228. DOI: 10.11779/CJGE20240158

Analytical solution for infiltration into single-layer cover under heavy rainfall events and its application for slope stability analysis

More Information
  • Received Date: February 19, 2024
  • Available Online: July 23, 2024
  • In recent years, the extreme rainfall events have occurred frequently in China, and so investigating the infiltration law and slope stability of single-layer soil covers under heavy rainfall events is of great significance. An analytical solution for rainwater infiltration into single-layer soil covers is derived based on the two-dimensional governing equation for unsaturated flows. This analytical solution is obtained by employing the constant flow rate and constant pore water pressure head as the top boundary conditions of the cover before and after the surface soil reaches saturation during a heavy rainfall event. The analytical solution is validated by comparing with the results of the finite element software Geostudio-Seep/W. Based on the analytical solution and the theory of shear strength of unsaturated soils, the variation of the factor of safety of a single-layer soil cover under a heavy rainfall event is analyzed. The results indicate that the greater depth the potential sliding surface, the slower the response of the factor of safety to rainfall. During the whole rainfall period, the factor of safety with the bottom surface of the cover as the sliding surface remains the smallest, indicating that the cover is most prone to sliding along this sliding surface. The analytical solution obtained in this study provides a simple and practical tool for evaluating the anti-seepage performance and stability analysis of single-layer soil covers.
  • [1]
    浦烨枫. 垃圾填埋场渗滤液对地下水的污染规律及防渗策略分析[J]. 工程建设与设计, 2022(14): 90-92.

    PU Yefeng. Analysis of the pollution law of landfill leachate to groundwater and the seepage prevention strategy[J]. Construction & Design for Engineering, 2022(14): 90-92. (in Chinese)
    [2]
    舒实, 施建勇. 气压和温度变化共同作用下垃圾填埋场边坡稳定性研究[J]. 岩土工程学报, 2022, 44(1): 82-89. doi: 10.11779/CJGE202201007

    SHU Shi, SHI Jianyong. Slope stability of municipal solid waste landfills under combined effects of gas pressure and temperature changes[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(1): 82-89. (in Chinese) doi: 10.11779/CJGE202201007
    [3]
    何雪莲, 梁凌, 韦超前. 城镇生活垃圾填埋场环境问题分析及污染防控措施[J]. 广东化工, 2024, 51(2): 99-101, 129.

    HE Xuelian, LIANG Ling, WEI Chaoqian. Analysis of environmental problems and pollution prevention and control measures for urban domestic waste landfill sites[J]. Guangdong Chemical Industry, 2024, 51(2): 99-101, 129. (in Chinese)
    [4]
    詹良通, 冯嵩, 李光耀, 等. 生态型土质覆盖层工作原理及其在垃圾填埋场封场治理中的应用[J]. 环境卫生工程, 2022, 30(4): 1-20.

    ZHAN Liangtong, FENG Song, LI Guangyao, et al. Working principle of ecological soil covers and its application in landfill sealing treatment[J]. Environmental Sanitation Engineering, 2022, 30(4): 1-20. (in Chinese)
    [5]
    张文杰, 邱战洪, 朱成仁, 等. 长三角地区填埋场ET封顶系统的性能评价[J]. 岩土工程学报, 2009, 31(3): 384-389. https://cge.nhri.cn/article/id/13179

    ZHANG Wenjie, QIU Zhanhong, ZHU Chengren, et al. Evalllation of evapotranspiration covers of landfills in Yangtze River Delta Region[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(3): 384-389. (in Chinese) https://cge.nhri.cn/article/id/13179
    [6]
    焦卫国, 詹良通, 季永新, 等. 植被对土质覆盖层水分运移和存储影响试验研究[J]. 岩土工程学报, 2020, 42(7): 1268-1275. doi: 10.11779/CJGE202007010

    JIAO Weiguo, ZHAN Liangtong, JI Yongxin, et al. Experimental study on effects of vegetation on water transport and storage in soil cover[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(7): 1268-1275. (in Chinese) doi: 10.11779/CJGE202007010
    [7]
    王宜轩. 城市生活垃圾填埋场失稳破坏模式研究[D]. 杭州: 浙江理工大学, 2020.

    WANG Yixuan. Study on Instability and Failure Mode of Municipal Solid Waste Landfill[D]. Hangzhou: Zhejiang Sci-Tech University, 2020. (in Chinese)
    [8]
    HAYEK M. Analytical solution to transient Richards' equation with realistic water profiles for vertical infiltration and parameter estimation[J]. Water Resources Research, 2016, 52(6): 4438-4457. doi: 10.1002/2015WR018533
    [9]
    FENG S, HUANG R H, ZHAN L T, et al. Semi-analytical solution of pore-water pressure in unsaturated ground and infinite slope considering highly nonlinear soil hydraulic properties[J]. Computers and Geotechnics, 2023, 164: 105795. doi: 10.1016/j.compgeo.2023.105795
    [10]
    ZHAN T L T, QIU Q W, XU W J. Analytical solution for infiltration and deep percolation of rainwater into a monolithic cover subjected to different patterns of rainfall[J]. Computers and Geotechnics, 2016, 77: 1-10. doi: 10.1016/j.compgeo.2016.03.008
    [11]
    邱清文, 詹良通, 黄依艺. 考虑任意初始条件的均质土质覆盖层降雨入渗解析解[J]. 岩土工程学报, 2017, 39(2): 359-365. doi: 10.11779/CJGE201702021

    QIU Qingwen, ZHAN Liangtong, HUANG Yiyi. Analytical solutions for rainfall infiltration into monolithic covers considering arbitrary initial conditions[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 359-365. (in Chinese) doi: 10.11779/CJGE201702021
    [12]
    TRACY F T, VAHEDIFARD F. Analytical solution for coupled hydro-mechanical modeling of infiltration in unsaturated soils[J]. Journal of Hydrology, 2022, 612: 128198. doi: 10.1016/j.jhydrol.2022.128198
    [13]
    WU L Z, ZHANG L M. Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(6): 773-790. doi: 10.1002/nag.742
    [14]
    PU H F, WEN X J, MIN M, et al. Analytical solution for coupled water–gas transport in landfill cover[J]. Acta Geotechnica, 2023, 18(8): 4219-4231. doi: 10.1007/s11440-023-01802-x
    [15]
    ZHAN T L T, JIA G W, CHEN Y M, et al. An analytical solution for rainfall infiltration into an unsaturated infinite slope and its application to slope stability analysis[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2013, 37(12): 1737-1760. doi: 10.1002/nag.2106
    [16]
    WU L Z, ZHANG L M, HUANG R Q. Analytical solution to 1D coupled water infiltration and deformation in two-layer unsaturated soils[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 36(6): 798-816. doi: 10.1002/nag.1044
    [17]
    FREDLUND D G, MORGENSTERN N R, WIDGER R A. The shear strength of unsaturated soils[J]. Canadian Geotechnical Journal, 1978, 15(3): 313-321. doi: 10.1139/t78-029
    [18]
    李宁, 许建聪. 无限长均质斜坡降雨入渗解析解[J]. 岩土工程学报, 2012, 34(12): 2325-2330. https://cge.nhri.cn/article/id/14957

    LI Ning, XU Jiancong. Analytical solutions for rainfall infiltration into homogenous infinite slopes[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(12): 2325-2330. (in Chinese) https://cge.nhri.cn/article/id/14957
    [19]
    RICHARDS L A. Capillary conduction of liquids through porous mediums[J]. Physics, 1931, 1(5): 318-333. doi: 10.1063/1.1745010
    [20]
    GARGNER W R. Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table[J]. Soil Sci, 1958, 85(4): 228-232. doi: 10.1097/00010694-195804000-00006
    [21]
    刘小川. 降雨诱发非饱和土边坡浅层失稳离心模型试验及分析方法[D]. 杭州: 浙江大学, 2017.

    LIU Xiaochuan. Centrifugal Model Test and Analysis Method of Shallow Instability of Unsaturated Soil Slope Induced by Rainfall[D]. Hangzhou: Zhejiang University, 2017. (in Chinese)
    [22]
    城镇雨水系统规划设计暴雨径流计算标准: DB11/T 969—2016[S]. 北京: 中国建筑工业出版社, 2016.

    Standard of Rainstorm Runoff Calculation for Urban Storm Drainage System Planning and Design: DB11/T 969—2016[S]. Beijing: China Architecture Publishing, 2016. (in Chinese)
    [23]
    陈学东. 浅层非饱和带降雨入渗规律的试验与数值研究[D]. 南京: 河海大学, 2005.

    CHEN Xuedong. Experimental and Numerical Study on Rainfall Infiltration Law in Shallow Unsaturated Zone[D]. Nanjing: Hohai University, 2005. (in Chinese)
    [24]
    朱伟, 程南军, 陈学东, 等. 浅谈非饱和渗流的几个基本问题[J]. 岩土工程学报, 2006, 28(2): 235-240. https://cge.nhri.cn/article/id/11960

    ZHU Wei, CHENG Nanjun, CHEN Xuedong, et al. Some fundamental problems of unsaturated seepage[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(2): 235-240. (in Chinese) https://cge.nhri.cn/article/id/11960
    [25]
    WANG R C, WEN S J, SUN Z L. Analytical solution of rainfall infiltration in unsaturated soil slopes considering initial water content distribution[J]. KSCE Journal of Civil Engineering, 2022, 26(11): 4419-4431. doi: 10.1007/s12205-022-1750-5
    [26]
    邱清文. 黄土/碎石覆盖层水气耦合运移规律及填埋气减排性能[D]. 杭州: 浙江大学, 2016.

    QIU Qingwen. Water-Gas Coupling Migration Law and Landfill Gas Emission Reduction Performance of Loess/Gravel Overburden[D]. Hangzhou: Zhejiang University, 2016. (in Chinese)

Catalog

    Article views PDF downloads Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return