Skip to main content
SpringerLink
Log in

Rainfall-Induced Runoff and Subsurface Stormflow at the Hillslope Scale

  • Chapter
Overland Flow Dynamics and Solute Transport

Part of the book series: Theory and Applications of Transport in Porous Media ((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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Agiralioglu N (1981) Water routing on diverging–converging watersheds. J Hydr Div ASCE 107(8):1003–1017

    Google Scholar 

  • Agiralioglu N (1984) Effect of catchment geometry on time of concentration. Proc Urban Storm Drainage 1:177–184

    Google Scholar 

  • Agiralioglu N (1988) Estimation of the time of concentration for diverging surfaces. Hydrol Sci 33(2):173–179

    Article  Google Scholar 

  • 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 1:41–48

    Google Scholar 

  • 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 

  • Beven KJ (1981) Kinematic subsurface stormflow. Water Resour Res 17(5):1419–1424

    Article  Google Scholar 

  • Beven KJ, Germann PF (1982) Macropores and water flow in soils. Water Resour Res 18(5):1311–1325

    Article  Google Scholar 

  • Campbell SY, Parlange JY, Rose CW (1984) Overland flow on converging and diverging surfaces–kinematic model and similarity solutions. J Hydrol 67:367–374

    Article  Google Scholar 

  • Castaing R (1991) Un modele simple pour la migration de radionucléides par transport colloidal dans un milieu fracture. J Hydrol 125:55–92

    Article  CAS  Google Scholar 

  • Chow VT (1959) Open-channel hydraulics. McGraw-Hill, New York, p 680

    Google Scholar 

  • De Lima JLMP, van Der Molen (1988) An analytical kinematic model for rasing limb of overland flow on infiltrating parabolic shaped surface. J Hydrol 104:363–370

    Article  Google Scholar 

  • Downer CW, Ogden FL (2004) GSSHA: a model for simulating diverse streamflow generating processes. J Hydrol Eng 9(3):161–174

    Article  Google Scholar 

  • Duffy CJ (1996) A two-state integral-balance model for soil moisture and groundwater dynamics in complex terrain. Water Resour Res 32(8):2421–2434

    Article  Google Scholar 

  • Eagleson PS (1970) Dynamic hydrology. McGraw-Hill, New York

    Google Scholar 

  • Fan Y, Bras RL (1998) Analytical solutions to hillslope subsurface storm flow and saturation overland flow. Water Resour Res 34(4):921–927

    Article  Google Scholar 

  • Freeze R (1972a) A role of subsurface flow in generating surface runoff. Base flow contribution to channel flow. Water Resour Res 8(3):609–623

    Article  Google Scholar 

  • Freeze R (1972b) A role of subsurface flow in generating surface runoff. Upstream source areas. Water Resour Res 8(5):1272–1283

    Article  Google Scholar 

  • Gerke HH (2006) Review article: preferential flow descriptions for structured soils. J Plant Nutr Soil Sci 169:382–400

    Article  CAS  Google Scholar 

  • 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 100–105

    Google Scholar 

  • 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):3385–3389

    Article  Google Scholar 

  • Govindaraju RS, Jones SE, Kavvas ML (1988) On the diffusion wave modeling for overland flow. Solution for steep slopes. Water Resour Res 24(5):734–744

    Article  Google Scholar 

  • Govindaraju RS, Kavvas ML (1991) Dynamics of moving boundary overland flows over infiltrating surfaces at hillslopes. Water Resour Res 27(8):885–889

    Google Scholar 

  • Govindaraju RS, Kavvas ML, Jones SE (1990) Approximate analytical solutions for overland flows. Water Resour Res 26(12):2903–2912

    Article  Google Scholar 

  • Guo JCY (1998) Overland flow on a pervious surface, IWRA. Int J Water 23(2):1–8

    Google Scholar 

  • 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 58:523–546

    Article  Google Scholar 

  • 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 117–128

    Google Scholar 

  • Julien PY, Simons DB (1985) Sediment transport capacity of overland flow. Am Soc Agric Eng 28(3):755–762

    Article  Google Scholar 

  • Hjelmfelt AT Jr (1978) Influence of infiltration on overland flow. J Hydrol 36:179–185

    Article  Google Scholar 

  • Leu JM, Liu CL (1988) Overland flow computation with the characteristics method for a kinematic catchment model. Water Resour Manag 2(4):269–288

    Article  Google Scholar 

  • Luce CH, Cundy TW (1992) Modification of the kinematic wave–Philip infiltration overland flow model. Water Resour Res 28(4):1179–1186

    Article  Google Scholar 

  • 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):3021–3036

    Article  CAS  Google Scholar 

  • Parlange JY, Rose CW, Sander G (1981) Kinematic flow approximation of runoff on a plane: an exact analytical solution. J Hydrol 52:171–176

    Article  Google Scholar 

  • Rivlin J, Wallach R (1995) An analytical solution for the lateral transport of dissolved chemicals in overland flow. Water Resour 31(4):1031–1040

    Article  CAS  Google Scholar 

  • Rose CW, Parlange JY, Sander GC et al (1983) Kinematic flow approximation to runoff on a plane: an approximate analytical solution. J Hydrol 62:363–369

    Article  Google Scholar 

  • Sabzevari T, Saghafian B, Talebi A (2013) Time of concentration of surface flow in complex hillslopes. J Hydrol Hydromech 61(4):269–277

    Article  Google Scholar 

  • 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):825–826

    Article  Google Scholar 

  • 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):193–206

    Article  Google Scholar 

  • Sander GC, Rose CW, Hogarth WL et al (2009) Mathematical soil erosion modeling. Mathematical models. Encycl Life Support Syst (EOLSS) 2:389–439

    Google Scholar 

  • Sherman B, Singh VP (1976) A distributed converging overland flow model. Mathematical solutions. Water Resour Res 12(5):889–896

    Article  Google Scholar 

  • Shokoohi A, Saghafian B (2012) A semi analytical solution for rising limb of hydrograph in 2D overland flow. Int J Civil Eng 10(1):43–50

    Google Scholar 

  • Singh VP (1996) Kinematic wave modeling in water resources: surface-water hydrology. Wiley-Interscience, New York, p 1400

    Google Scholar 

  • Singh VP (1997) Kinematic wave modeling in water resources: environmental hydrology. Wiley-Interscience, New York, p 830

    Google Scholar 

  • Singh VP (2002a) Kinematic wave solutions for pollutant transport by runoff over an impervious plane, with instantaneous or finite-period mixing. Hydrol Process 16:1831–1863

    Article  Google Scholar 

  • Singh VP (2002b) Kinematic wave solutions for pollutant transport over an infiltrating plane with finite-period mixing and mixing zone. Hydrol Process 16:2441–2477

    Article  Google Scholar 

  • Singh VP, Woolhiser DA (1976) A nonlinear kinematic wave model for watershed surface runoff. J Hydrol 31:221–243

    Article  CAS  Google Scholar 

  • Sloan PG, Moor ID (1984) Modeling subsurface stormflow on steeply sloping forested watersheds. Water Resour Res 20(12):1815–1822

    Article  Google Scholar 

  • Smith RE, Hebbert RHB (1983) Mathematical simulation of interdependent surface and subsurface hydrologic processes. Water Resour Res 19(4):987–1001

    Article  Google Scholar 

  • Stone JJ, Lane LJ, Shirley ED (1992) Infiltration and runoff simulation on a plane. Trans ASAE 35:61–170

    Article  Google Scholar 

  • Troch P, van Loon E, Hilberts A (2002) Analytical solutions to a hillslope-storage kinematic wave equation for subsurface flow. Adv Water Res 25:637–649

    Article  Google Scholar 

  • Weiler M, McDonnell JJ (2006) Testing nutrient flushing hypotheses at the hillslope scale: a virtual experiment approach. J Hydrol 319:339–356

    Article  Google Scholar 

  • Weill S, Mouche E, Patin J (2009) A generalized Richards equation for surface subsurface flow modeling. J Hydrol 366:9–20

    Article  Google Scholar 

  • Wooding RA (1965) A hydraulic model for the catchment-stream problem: kinematic wave theory. Hydrology 3(3):254–267

    Article  Google Scholar 

  • Woolhiser DA, Liggett JA (1967) Unsteady, one-dimensional flow over a plane – the rising hydrograph. Water Resour Res 3(3):753–771

    Article  Google Scholar 

  • 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/

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Environmental Geology, The Russian Academy of Sciences, Saint Petersburg, Russia

    Vyacheslav G. Rumynin

  2. Institute of Earth Sciences, Saint Petersburg State University, Saint Petersburg, Russia

    Vyacheslav G. Rumynin

Authors
  1. Vyacheslav G. Rumynin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Rumynin, V.G. (2015). Rainfall-Induced Runoff and Subsurface Stormflow at the Hillslope Scale. In: Overland Flow Dynamics and Solute Transport. Theory and Applications of Transport in Porous Media, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-21801-4_2

Download citation

Publish with us

Policies and ethics

Search

Navigation