Advertisement

Rainfall-Induced Runoff and Subsurface Stormflow at the Hillslope Scale

  • Vyacheslav G. Rumynin
Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 26)

Abstract

Surface runoff (or overland flow), which is generated by the precipitation that falls within a drainage area (catchment, watershed), is governed by several factors and processes, including rainfall rate and duration, the characteristics of infiltration (capillary imbibition and gravity-driven) and the temperature regime of soil, landscape surface characteristics, vegetation type, and some others. Hillslopes are regarded as a basic element of catchments, therefore the mathematical and physical description of the hydrological processes that occur at the hillslope scale is the first step to designing more general hydrological models describing hydrological response at catchment/watershed scale.

Keywords

Unsaturated Zone Overland Flow Preferential Flow Subsurface Flow Rainfall Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Agiralioglu N (1981) Water routing on diverging–converging watersheds. J Hydr Div ASCE 107(8):1003–1017Google Scholar
  2. Agiralioglu N (1984) Effect of catchment geometry on time of concentration. Proc Urban Storm Drainage 1:177–184Google Scholar
  3. Agiralioglu N (1988) Estimation of the time of concentration for diverging surfaces. Hydrol Sci 33(2):173–179CrossRefGoogle Scholar
  4. Baiamonte G, Agnese A (2010) An analytical solution of kinematic wave equations for overland flow under Green–Ampt infiltration. J Agric Eng Riv Ing Agric 1:41–48Google Scholar
  5. Beckers J, Alila Y (2004) A model of rapid preferential hillslope runoff contributions to peak flow generation in a temperate rain forest watershed. Water Resour Res 40(3)Google Scholar
  6. Beven KJ (1981) Kinematic subsurface stormflow. Water Resour Res 17(5):1419–1424CrossRefGoogle Scholar
  7. Beven KJ, Germann PF (1982) Macropores and water flow in soils. Water Resour Res 18(5):1311–1325CrossRefGoogle Scholar
  8. Campbell SY, Parlange JY, Rose CW (1984) Overland flow on converging and diverging surfaces–kinematic model and similarity solutions. J Hydrol 67:367–374CrossRefGoogle Scholar
  9. Castaing R (1991) Un modele simple pour la migration de radionucléides par transport colloidal dans un milieu fracture. J Hydrol 125:55–92CrossRefGoogle Scholar
  10. Chow VT (1959) Open-channel hydraulics. McGraw-Hill, New York, p 680Google Scholar
  11. De Lima JLMP, van Der Molen (1988) An analytical kinematic model for rasing limb of overland flow on infiltrating parabolic shaped surface. J Hydrol 104:363–370CrossRefGoogle Scholar
  12. Downer CW, Ogden FL (2004) GSSHA: a model for simulating diverse streamflow generating processes. J Hydrol Eng 9(3):161–174CrossRefGoogle Scholar
  13. Duffy CJ (1996) A two-state integral-balance model for soil moisture and groundwater dynamics in complex terrain. Water Resour Res 32(8):2421–2434CrossRefGoogle Scholar
  14. Eagleson PS (1970) Dynamic hydrology. McGraw-Hill, New YorkGoogle Scholar
  15. Fan Y, Bras RL (1998) Analytical solutions to hillslope subsurface storm flow and saturation overland flow. Water Resour Res 34(4):921–927CrossRefGoogle Scholar
  16. Freeze R (1972a) A role of subsurface flow in generating surface runoff. Base flow contribution to channel flow. Water Resour Res 8(3):609–623CrossRefGoogle Scholar
  17. Freeze R (1972b) A role of subsurface flow in generating surface runoff. Upstream source areas. Water Resour Res 8(5):1272–1283CrossRefGoogle Scholar
  18. Gerke HH (2006) Review article: preferential flow descriptions for structured soils. J Plant Nutr Soil Sci 169:382–400CrossRefGoogle Scholar
  19. Gerke HH (2014) Bypass flow in soil. In: Glinski J, Horabik J, Lipiec J (eds) Encyclopedia of agrophysics (Encyclopedia of Earth Sciences Series). Springer, pp 100–105Google Scholar
  20. Giraldez JV, Woolhiser DA (1996) Analytical integration of the kinematic equation for runoff on a plane under constant rainfall rate and Smith and Parlange infiltration. Water Resour Res 32(11):3385–3389CrossRefGoogle Scholar
  21. Govindaraju RS, Jones SE, Kavvas ML (1988) On the diffusion wave modeling for overland flow. Solution for steep slopes. Water Resour Res 24(5):734–744CrossRefGoogle Scholar
  22. Govindaraju RS, Kavvas ML (1991) Dynamics of moving boundary overland flows over infiltrating surfaces at hillslopes. Water Resour Res 27(8):885–889Google Scholar
  23. Govindaraju RS, Kavvas ML, Jones SE (1990) Approximate analytical solutions for overland flows. Water Resour Res 26(12):2903–2912CrossRefGoogle Scholar
  24. Guo JCY (1998) Overland flow on a pervious surface, IWRA. Int J Water 23(2):1–8Google Scholar
  25. Jarvis NJ (2007) A review of non-equilibrium water flow and solute transport in soil macropores: principles, controlling factors and consequences for water quality. Eur J Soil Sci 58:523–546CrossRefGoogle Scholar
  26. Jones HK, Cooper JD (1998) Water transport through the unsaturated zone of the Middle Chalk: a case study from Fleam Dyke lysimeter. In: Robins NS (ed) Groundwater pollution. Aquifer recharge and vulnerability. Geological Society, London, pp 117–128Google Scholar
  27. Julien PY, Simons DB (1985) Sediment transport capacity of overland flow. Am Soc Agric Eng 28(3):755–762CrossRefGoogle Scholar
  28. Hjelmfelt AT Jr (1978) Influence of infiltration on overland flow. J Hydrol 36:179–185CrossRefGoogle Scholar
  29. Leu JM, Liu CL (1988) Overland flow computation with the characteristics method for a kinematic catchment model. Water Resour Manag 2(4):269–288CrossRefGoogle Scholar
  30. Luce CH, Cundy TW (1992) Modification of the kinematic wave–Philip infiltration overland flow model. Water Resour Res 28(4):1179–1186CrossRefGoogle Scholar
  31. Mulholland PJ, Wilson GV, Jardine PM (1990) Hydrogeochemical response of a forested watershed to storms: effects of preferential flow along shallow and deep pathways. Water Resour Res 26(12):3021–3036CrossRefGoogle Scholar
  32. Parlange JY, Rose CW, Sander G (1981) Kinematic flow approximation of runoff on a plane: an exact analytical solution. J Hydrol 52:171–176CrossRefGoogle Scholar
  33. Rivlin J, Wallach R (1995) An analytical solution for the lateral transport of dissolved chemicals in overland flow. Water Resour 31(4):1031–1040CrossRefGoogle Scholar
  34. Rose CW, Parlange JY, Sander GC et al (1983) Kinematic flow approximation to runoff on a plane: an approximate analytical solution. J Hydrol 62:363–369CrossRefGoogle Scholar
  35. Sabzevari T, Saghafian B, Talebi A (2013) Time of concentration of surface flow in complex hillslopes. J Hydrol Hydromech 61(4):269–277CrossRefGoogle Scholar
  36. Sander GC, Parlange J-Y (2000) Comment on “Analytical integration of the kinematic equation for runoff on a plane under constant rainfall rate and Smith and Parlange infiltration” by Giráldez JV and Woolhiser DA. Water Resour Res 36(3):825–826CrossRefGoogle Scholar
  37. Sander GC, Parlange JY, Hogarth WL (1990) Kinematic flow approximation to runoff on a plane: solution for infiltration rate exceeding rainfall rate. J Hydrol 113(1–4):193–206CrossRefGoogle Scholar
  38. Sander GC, Rose CW, Hogarth WL et al (2009) Mathematical soil erosion modeling. Mathematical models. Encycl Life Support Syst (EOLSS) 2:389–439Google Scholar
  39. Sherman B, Singh VP (1976) A distributed converging overland flow model. Mathematical solutions. Water Resour Res 12(5):889–896CrossRefGoogle Scholar
  40. Shokoohi A, Saghafian B (2012) A semi analytical solution for rising limb of hydrograph in 2D overland flow. Int J Civil Eng 10(1):43–50Google Scholar
  41. Singh VP (1996) Kinematic wave modeling in water resources: surface-water hydrology. Wiley-Interscience, New York, p 1400Google Scholar
  42. Singh VP (1997) Kinematic wave modeling in water resources: environmental hydrology. Wiley-Interscience, New York, p 830Google Scholar
  43. Singh VP (2002a) Kinematic wave solutions for pollutant transport by runoff over an impervious plane, with instantaneous or finite-period mixing. Hydrol Process 16:1831–1863CrossRefGoogle Scholar
  44. Singh VP (2002b) Kinematic wave solutions for pollutant transport over an infiltrating plane with finite-period mixing and mixing zone. Hydrol Process 16:2441–2477CrossRefGoogle Scholar
  45. Singh VP, Woolhiser DA (1976) A nonlinear kinematic wave model for watershed surface runoff. J Hydrol 31:221–243CrossRefGoogle Scholar
  46. Sloan PG, Moor ID (1984) Modeling subsurface stormflow on steeply sloping forested watersheds. Water Resour Res 20(12):1815–1822CrossRefGoogle Scholar
  47. Smith RE, Hebbert RHB (1983) Mathematical simulation of interdependent surface and subsurface hydrologic processes. Water Resour Res 19(4):987–1001CrossRefGoogle Scholar
  48. Stone JJ, Lane LJ, Shirley ED (1992) Infiltration and runoff simulation on a plane. Trans ASAE 35:61–170CrossRefGoogle Scholar
  49. Troch P, van Loon E, Hilberts A (2002) Analytical solutions to a hillslope-storage kinematic wave equation for subsurface flow. Adv Water Res 25:637–649CrossRefGoogle Scholar
  50. Weiler M, McDonnell JJ (2006) Testing nutrient flushing hypotheses at the hillslope scale: a virtual experiment approach. J Hydrol 319:339–356CrossRefGoogle Scholar
  51. Weill S, Mouche E, Patin J (2009) A generalized Richards equation for surface subsurface flow modeling. J Hydrol 366:9–20CrossRefGoogle Scholar
  52. Wooding RA (1965) A hydraulic model for the catchment-stream problem: kinematic wave theory. Hydrology 3(3):254–267CrossRefGoogle Scholar
  53. Woolhiser DA, Liggett JA (1967) Unsteady, one-dimensional flow over a plane – the rising hydrograph. Water Resour Res 3(3):753–771CrossRefGoogle Scholar
  54. Zhang GP, Savenije HHG, Fenicia F et al (2006) Modelling subsurface storm flow with the Representative Elementary Watershed (REW) approach: application to the Alzette River Basin. Hydrol Earth Syst Sci 10:937–955. www.hydrol-earth-syst-sci.net/10/937/2006/

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Vyacheslav G. Rumynin
    • 1
    • 2
  1. 1.Institute of Environmental GeologyThe Russian Academy of SciencesSaint PetersburgRussia
  2. 2.Institute of Earth SciencesSaint Petersburg State UniversitySaint PetersburgRussia

Personalised recommendations