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Initial Soil Water Content as Input to Field-Scale Infiltration and Surface Runoff Models

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Abstract

Evidence is given of the role of initial soil moisture content, θ i , in determining the surface runoff hydrograph at field scale, that is a crucial element when distributed models for the estimate of basin response to rainfall have to be formulated. This analysis relies upon simulations performed by a model that, because of the necessity of representing the infiltration of surface water running downslope into pervious saturated or unsaturated areas, uses a coupled solution of a semi-analytical/conceptual approach for local infiltration and a nonlinear kinematic wave equation for overland flow. The model was applied to actual spatial distributions of θ i , earlier observed over different fields, as well as to a uniform value of θ i assumed equal to the average value or to the value observed in a site characterized by temporal stability. Our results indicate that the surface runoff hydrograph at a slope outlet is characterized by a low sensitivity to the horizontal heterogeneity of θ i , at least in the cases of practical hydrological interest. In fact, in these cases the correct hydrograph can be simulated with considerable accuracy replacing the actual distribution of θ i by the corresponding average value. Moreover, the surface hydrograph is sufficiently well reproduced even though a single value of θ i , observed at a site anyhow selected in the field of interest, is used. In particular, this extreme simplification leads to errors in magnitude on peak runoff and total volume of surface water with values typically within 10% and 15%, respectively.

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References

  • Aubert D, Loumagne C, Oudin L (2003) Sequential assimilation of soil moisture and streamflow data in a conceptual rainfall runoff model. J Hydrol 280:145–161

    Article  Google Scholar 

  • Binley A, Elgy J, Beven K (1989a) A physically based model of heterogeneous hillslopes, 1, Runoff production. Water Resour Res 25(6):1219–1226

    Article  Google Scholar 

  • Binley A, Elgy J, Beven K (1989b) A physically based model of heterogeneous hillslopes, 2, Effective hydraulic conductivities. Water Resour Res 25(6):1227–1233

    Article  Google Scholar 

  • Brocca L, Melone F, Moramarco T, Morbidelli R (2009a) Soil moisture temporal stability over experimental areas in Central Italy. Geoderma 148:364–374

    Article  Google Scholar 

  • Brocca L, Melone F, Moramarco T, Singh VP (2009b) Assimilation of observed soil moisture data in storm rainfall-runoff modeling. J Hydrolog Eng ASCE 14(2):153–165

    Article  Google Scholar 

  • Brocca L, Melone F, Moramarco T, Morbidelli R (2010) Spatial temporal variability of soil moisture and its estimation across scales. Water Resour Res 46:W02516. doi:10.1029/2009WR008016

    Article  Google Scholar 

  • Bronstert A, Bárdossy A (1999) The role of spatial variability of soil moisture for modeling surface runoff generation at the small catchment scale. Hydrol Earth Syst Sci 3:505–516

    Article  Google Scholar 

  • Castelli F (1996) A simplified stochastic model for infiltration into a heterogeneous soil forced by random precipitation. Adv Water Resour 19(3):133–144

    Article  Google Scholar 

  • Corradini C, Melone F, Singh VP (1989) A simple approximation of the hydrograph downstream of a flooded area. Nord Hydrol 20:179–190

    Google Scholar 

  • Corradini C, Melone F, Smith RE (1994) Modeling infiltration during complex rainfall sequences. Water Resour Res 30(10):2777–2784

    Article  Google Scholar 

  • Corradini C, Melone F, Smith RE (1997) A unified model for infiltration and redistribution during complex rainfall patterns. J Hydrol 192:104–124

    Article  Google Scholar 

  • Corradini C, Morbidelli R, Melone F (1998) On the interaction between infiltration and Hortonian runoff. J Hydrol 204:52–67

    Article  Google Scholar 

  • Corradini C, Govindaraju RS, Morbidelli R (2002) Simplified modelling of areal average infiltration at the hillslope scale. Hydrol Process 16:1757–1770

    Article  Google Scholar 

  • Corradini C, Morbidelli R, Saltalippi C, Flammini A (2008) Ruolo del contenuto di acqua iniziale del suolo sull’infiltrazione media areale, XXXI Convegno Nazionale di Idraulica e Costruzioni Idrauliche, Perugia, 9–12 settembre 2008, 1–8

  • Craig JR, Liu G, Soulis ED (2010) Runoff-infiltration partitioning using an upscaled Green-Ampt solution. Hydrol Process. 24(16):2328–2334

    Google Scholar 

  • Dagan G, Bresler E (1983) Unsaturated flow in spatially variable fields, 1, Derivation of models of infiltration and redistribution. Water Resour Res 19(2):413–420

    Article  Google Scholar 

  • Giakoumakis S, Tsakiris G (2001) Experimental validation of a linearized kinematic wave equation for micro-catchment water harvesting design. Water Resour Manag 15:235–246

    Article  Google Scholar 

  • Goodrich DC, Schmugge TJ, Jackson TJ, Unkrich CL, Keefer TO, Parry R, Bach LB, Amer SA (1994) Runoff simulation sensitivity to remotely sensed initial soil water content. Water Resour Res 30(5):1393–1406

    Article  Google Scholar 

  • Goodrich DC, Faurès J-M, Woolhiser DA, Lane LJ, Sorooshian S (1995) Measurement and analysis of small-scale convective storm rainfall variability. J Hydrol 173:283–308

    Article  Google Scholar 

  • Govindaraju RS, Kavvas ML, Tayfur G (1992) A simplified model for two-dimensional overland flows. Adv Water Resour 15:133–141

    Article  Google Scholar 

  • Govindaraju RS, Morbidelli R, Corradini C (2001) Areal infiltration modeling over soil with spatially-correlated hydraulic conductivities. J Hydrol Eng 6(2):150–158

    Article  Google Scholar 

  • Govindaraju RS, Corradini C, Morbidelli R (2006) A semi-analytical model of expected areal-average infiltration under spatial heterogeneity of rainfall and soil saturated hydraulic conductivity. J Hydrol 316:184–194

    Article  Google Scholar 

  • Grayson RB, Bloschl G, Moore ID (1995) Distributed parameter hydrologic modelling using vector elevation data: THALES and TAPES-C. In: Singh VP (ed) Computer models of watershed hydrology. Water Resources Publications, Highlands Ranch, Colorado, pp 669–696

    Google Scholar 

  • Grayson RB, Western AW. (1998). Towards areal estimation of soil water content from point measurements: time and space stability of mean response. J. Hydrol 207:68–82

    Google Scholar 

  • Hager WH (1984) A simplified hydrological rainfall-runoff model. J Hydrol 74:151–170

    Article  Google Scholar 

  • Hromadka TV II, Yen CC (1986) A diffusion hydrodynamic model (DHM). Adv Water Resour 9(3):118–170

    Article  Google Scholar 

  • Koren V, Moreda F, Smith M (2008) Use of soil moisture observations to improve parameter consistency in watershed calibration. Phys Chem Earth 33(17–18):1068–1080

    Google Scholar 

  • Loague K, Gander GA (1990) R-5 revisited, 1, Spatial variability of infiltration on a small rangeland catchment. Water Resour Res 26(5):957–971

    Google Scholar 

  • Longobardi A, Villani P, Grayson RB, Western AW (2003) On the relationship between runoff coefficient and catchment initial conditions. Proc. MODSIM 2003 International Congress on Modelling and Simulation, Modelling and Simulation Society of Australia and New Zealand Inc., Townsville, Australia, 2:867–872

  • Melone F, Corradini C, Singh VP (1998) Simulation of the direct runoff hydrograph at basin outlet. Hydrol Process 12:769–779

    Article  Google Scholar 

  • Merz R, Bàrdossy A (1998) Effects of spatial variability on the rainfall runoff process in a small loess catchment. J Hydrol 212–213:304–317

    Article  Google Scholar 

  • Merz R, Plate EJ (1997) A analysis of the effects of spatial variability of soil and soil moisture on runoff. Water Resour Res 33(12):2909–2922

    Article  Google Scholar 

  • Merz B, Bárdossy A, Schiffler GR (2002) Different methods for modelling the areal infiltration of a grass field under heavy precipitation. Hydrol Process 16:1383–1402

    Article  Google Scholar 

  • Minet J, Laloy E, Lambot S, Vanclooster M (2010) Effect of GPR-derived within-field soil moisture variability on the runoff response using a distributed hydrologic model. Hydrol Earth Syst Sci Discuss 7:8947–8986

    Article  Google Scholar 

  • Morbidelli R, Corradini C, Govindaraju RS (2006) A field-scale infiltration model accounting for spatial heterogeneity of rainfall and soil saturated hydraulic conductivity. Hydrol Process 20:1465–1481

    Article  Google Scholar 

  • Nielsen DR, Biggar JW, Erh KT (1973) Spatial variability of field measured soil-water properties. Hilgardia 42(7):215–259

    Google Scholar 

  • Rawls WJ, Brakensiek DL, Soni B (1983) Agricultural Management effects on soil water processes: Part I. Soil water retention and Green-Ampt parameters. Trans ASAE 26(6):1747–1752

    Google Scholar 

  • Russo D, Bresler E (1981) Soil hydraulic properties as stochastic processes, 1, Analysis of field spatial variability. Soil Sci Soc Am J 45:682–687

    Article  Google Scholar 

  • Saghafian B, Julien PY, Ogden FL (1995) Similarity in catchment response, 1, Stationary rainstorms. Water Resour Res 31(6):1533–1541

    Article  Google Scholar 

  • Schmid BH (1989) On overland flow modelling: can rainfall excess be treated as independent of flow depth?. J. Hydrol 107:1–8

    Google Scholar 

  • Sharma ML, Barron RJW, Fernie MS (1987) Areal distribution of infiltration parameters and some soil physical properties in lateritic catchments. J Hydrol 94:109–127

    Article  Google Scholar 

  • Singh VP (1996) Kinematic wave modeling in water resources: surface water hydrology. John Wiley and Sons, New York

    Google Scholar 

  • Sivapalan M, Wood EF (1986) Spatial heterogeneity and scale in the infiltration response of catchments. In: Gupta VK, Rodríguez-Iturbe I, Wood EF (eds) Scale problems in hydrology. Water Science and Technology Library, D. Reidel Publishing Company, Dordrecht, Holland, pp 81–106

    Chapter  Google Scholar 

  • Smith RE, Goodrich DC (2000) A model to simulate rainfall excess patterns on randomly heterogeneous areas. J Hydrol Eng 5(4):355–362

    Article  Google Scholar 

  • Smith RE, Corradini C, Melone F (1993) Modeling infiltration for multistorm runoff events. Water Resour Res 29(1):133–144

    Article  Google Scholar 

  • Tayfur G (2001) Modeling two-dimensional erosion process over infiltrating surfaces. J Hydrol Eng 6(3):259–262

    Article  Google Scholar 

  • Tayfur G, Singh VP (2004) Numerical model for sediment transport over nonplanar, nonhomogeneous surfaces. J Hydrol Eng 9(1):35–41

    Article  Google Scholar 

  • Tayfur G, Kavvas ML, Govindaraju RS, Storm DE (1993) Applicability of St.Venant equations for two-dimensional overland flow over rough infiltrating surfaces. J Hydraul Eng 119(1):51–63

    Article  Google Scholar 

  • Tombul M (2007) Mapping field surface soil moisture for hydrological modelling. Water Resour Manag 21:1865–1880

    Article  Google Scholar 

  • Vachaud GA, Passerat de Silans A, Balabanis P, Vauclin M (1985) Temporal stability of spatially measured soil water probability density function. Soil Sci Soc Am J 49:822–828

    Article  Google Scholar 

  • Venkata RK, Eldho TI, Rao EP, Chithra NR (2008) A distributed kinematic wave-Philip infiltration watershed model using FEM, GIS and remotely sensed data. Water Resour Manag 22:737–755

    Article  Google Scholar 

  • Warrick AW, Nielsen DR (1980) Spatial variability of soil physical properties in the field. In: Hillel D (ed) Applications of soil physics. Academic, New York, pp 319–344

    Google Scholar 

  • Wood EF, Sivapalan M, Beven K (1986) Scale effects in infiltration and runoff production. Proc. of the Symposium on Conjunctive Water Use, IAHS Publ. N. 156, Budapest

  • Woolhiser DA, Goodrich DC (1988) Effect of storm rainfall intensity patterns on surface runoff. J Hydrol 102:335–354

    Article  Google Scholar 

  • Woolhiser DA, Smith RE, Goodrich DC (1990) KINEROS, A Kinematic Runoff Erosion Model, U.S. Dep. of Agric., Agric. Res. Serv., Rep. ARS-77

  • Zhao P, Shao M, Wang T (2010) Spatial distributions of soil surface-layer saturated hydraulic conductivity and controlling factors on dam farmlands. Water Resour Manag 24:2247–2266

    Article  Google Scholar 

Download references

Acknowledgment

This research was mainly financed by the Italian Ministry of Education, University and Research and by the Cassa di Risparmio di Perugia Foundation.

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Correspondence to Renato Morbidelli.

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Morbidelli, R., Corradini, C., Saltalippi, C. et al. Initial Soil Water Content as Input to Field-Scale Infiltration and Surface Runoff Models. Water Resour Manage 26, 1793–1807 (2012). https://doi.org/10.1007/s11269-012-9986-3

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