Influence of Rainfall Intensity and Its Pattern on the Stability of Unsaturated Soil Slope

  • Hang LinEmail author
  • Wenwen Zhong
Original Paper


Rainfall infiltration is an important factor that leads to slope instability. In this study, a numerical model for slope is built to investigate the effects of rainfall intensity and its pattern on slope stability. Results show that rainfall intensity and its pattern significantly influence slope stability due the following instances: (1) the safety factor of slope initially decreases and then stabilizes during rainfall, which is defined as the effective rainfall days; moreover, when the rainfall intensity is less than the saturated permeability coefficient of soil, the effective rainfall days decreases with the increase of rainfall intensity. (2) Under the same rainfall intensity, the ultimate safety factor of sand slope when the effective rainfall days is reached is greater than that of the clay slope. (3) When the rainfall intensity is less than the saturated permeability coefficient of soil with the same total precipitation, a longer rainfall duration indicates a larger slope safety factor; conversely, when the rainfall intensity is greater than the saturated permeability coefficient of soil, a longer rainfall duration indicates a smaller slope safety factor.


Numerical analysis Safety factor Rainfall intensity Rainfall duration Effective rainfall days 



This paper gets its funding from Projects (51474249, 51774322) supported by National Natural Science Foundation of China; Project (2018JJ2500) supported by Hunan Provincial Natural Science Foundation of China. The authors wish to acknowledge these supports. The anonymous reviewer are gratefully acknowledged for his valuable comments on the manuscript.


  1. Ataei M, Bodaghabadi S (2008) Comprehensive analysis of slope stability and determination of stable slopes in the Chador-Malu iron ore mine using numerical and limit equilibrium methods. J China Univ Min Technol 18:488–493CrossRefGoogle Scholar
  2. Bai T, Qiu T, Huang X, Li C (2013) Locating global critical slip surface using the Morgenstern-price method and optimization technique. Int J Geomech 14:319–325CrossRefGoogle Scholar
  3. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int J Numer Methods Eng 37:229–256CrossRefGoogle Scholar
  4. Cai F, Ugai K (2004) Numerical analysis of rainfall effects on slope stability. Int J Geomech 4:69–78CrossRefGoogle Scholar
  5. Cai F, Ugai K, Wakai A, Li Q (1998) Effects of horizontal drains on slope stability under rainfall by three-dimensional finite element analysis. Comput Geotech 23:255–275CrossRefGoogle Scholar
  6. Cheuk CY, Ng CWW, Sun HW (2005) Numerical experiments of soil nails in loose fill slopes subjected to rainfall infiltration effects. Comput Geotech 32:290–303CrossRefGoogle Scholar
  7. Cho SE, Lee SR (2001) Instability of unsaturated soil slopes due to infiltration. Comput Geotech 28:185–208CrossRefGoogle Scholar
  8. Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New YorkCrossRefGoogle Scholar
  9. Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31:521–532CrossRefGoogle Scholar
  10. Kim J, Jeong S, Park S, Sharma J (2004) Influence of rainfall-induced wetting on the stability of slopes in weathered soils. Eng Geol 75:251–262CrossRefGoogle Scholar
  11. Kondo K, Hayashi S (2010) Similality and generality of the Morgenstern-price and spencer methods. Landslides 34:15–23CrossRefGoogle Scholar
  12. Lang H, Chao W, Bing W, Qiumei O (2018) A new paradigm for accident investigation and analysis in the era of big data. Process Saf Prog 37:42–48CrossRefGoogle Scholar
  13. Leong EC, Rahardjo H (1997) Review of soil-water characteristic curve equations. J Geotech Geoenviron Eng 123:1106–1117CrossRefGoogle Scholar
  14. Lin H, Cao P (2014) A dimensionless parameter determining slip surfaces in homogeneous slopes. KSCE J Civ Eng 18:470–474CrossRefGoogle Scholar
  15. Lin H, Chen J (2017) Back analysis method of homogeneous slope at critical state. KSCE J Civ Eng 21:670–675CrossRefGoogle Scholar
  16. Lin H, Zhong W, Wang H, Xu W (2017) Effect of soil-water characteristic parameters on saturation line and stability of slope. Geotech Geol Eng 35:2715–2726CrossRefGoogle Scholar
  17. Morgenstern N, Price V (1965) The analysis of the stability of general slip surfaces. Geotechnique 15:79–93CrossRefGoogle Scholar
  18. Mukhlisin M, Taha MR (2012) Numerical model of antecedent rainfall effect on slope stability at a hillslope of weathered granitic soil formation. J Geol Soc India 79:525–531CrossRefGoogle Scholar
  19. Ng CWW, Lai JCH (2005) Effects of stress-dependent soil-water characteristic and damming on slope stability. J Geotech Geoenviron Eng 126:157–166CrossRefGoogle Scholar
  20. Ng CWW, Wang B, Tung YK (2001) Three-dimensional numerical investigations of groundwater responses in an unsaturated slope subjected to various rainfall patterns. Rev Can Géotech 38:1049–1062CrossRefGoogle Scholar
  21. Oh S, Lu N (2015) Slope stability analysis under unsaturated conditions: case studies of rainfall-induced failure of cut slopes. Eng Geol 184:96–103CrossRefGoogle Scholar
  22. Rahardjo H, Ong TH, Rezaur RB (2007) Factors controlling instability of homogeneous soil slopes under rainfall. J Geotech Geoenviron Eng 133:1532–1543CrossRefGoogle Scholar
  23. Rahimi A, Rahardjo H, Leong EC (2010) Effect of hydraulic properties of soil on rainfall-induced slope failure. Eng Geol 114:135–143CrossRefGoogle Scholar
  24. Shi Z, Shen D, Ming P, Zhang L, Zhang F, Zheng X (2016) Slope stability analysis by considering rainfall infiltration in multi-layered unsaturated soils. J Hydraul Eng 47:977–985Google Scholar
  25. Steinberg ML (1998) Geomembranes and the control of expansive soils in construction. McGraw-Hill, New YorkGoogle Scholar
  26. Styles TD, Coggan JS, Pine RJ (2011) Back analysis of the Joss Bay Chalk Cliff Failure using numerical modelling. Eng Geol 120:81–90CrossRefGoogle Scholar
  27. Tsaparas I, Rahardjo H, Toll DG (2002) Controlling parameters for rainfall-induced landslides. Comput Geotech 29:1–27CrossRefGoogle Scholar
  28. Wang YX, Guo PP, Shan SB, Yuan HP, Yuan BX (2016) Study on strength influence mechanism of fiber-reinforced expansive soil using jute. Geotech Geol Eng 34:1079–1088CrossRefGoogle Scholar
  29. Wang J, Liu J, Cao P, Liang Q, Duan J (2017) Coupled creep characteristics of anchor structures and soils under chemical corrosion. Indian Geotech J 47:521–528CrossRefGoogle Scholar
  30. Wang B, Wu C, Kang L, Reniers G, Huang L (2018) Work safety in China’s thirteenth five-year plan period (2016–2020): current status, new challenges and future tasks. Saf Sci 104:164–178CrossRefGoogle Scholar
  31. Xie YS, Cao P, Jin J, Wang M (2017) Mixed mode fracture analysis of semi-circular bend (SCB) specimen: a numerical study based on extended finite element method. Comput Geotech 82:157–172CrossRefGoogle Scholar
  32. Zhang LL, Zhang J, Zhang LM, Tang WH (2015) Stability analysis of rainfall-induced slope failure: a review. Geotech Eng 164:299–316CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.School of Resources and Safety EngineeringCentral South UniversityChangshaChina

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