Low-dimensional modeling of hillslope subsurface flow: Relationship between rainfall, recharge, and unsaturated storage dynamics

Water Resources Research

Volumn 43, Issue 3, 2007, Pages

  Hilberts, A G J ^a,b   Troch, P A ^a,c   Paniconi, C ^d   Boll, J ^e  

^a WAGENINGEN UNIVERSITY   (Netherlands)

^b RISK MANAGEMENT SOLUTIONS   (United Kingdom)

^c UNIVERSITY OF ARIZONA   (United States)

^d INSTITUT NATIONAL DE LA RECHERCHE SCIENTIFIQUE   (Canada)

^e UNIVERSITY OF IDAHO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; HYDROLOGY; MATHEMATICAL MODELS; RAIN;

HILLSLOPE-STORAGE BOUSSINESQ EQUATION (HSB); RICHARDS EQUATION; SATURATED FLOW; SUBSURFACE FLOW;

STREAM FLOW;

AQUIFERS; HYDROLOGY; MATHEMATICAL MODELS; RAIN; STREAM FLOW;

ACCURACY ASSESSMENT; AQUIFER; BOUSSINESQ EQUATION; CAPILLARY FRINGE; FLOW MODELING; HILLSLOPE; HYDROGRAPH; HYDROLOGICAL MODELING; NUMERICAL MODEL; RAINFALL; RECHARGE; RICHARDS EQUATION; SUBSURFACE FLOW; UNSATURATED FLOW; WATER TABLE;

EID: 34247633483     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2006WR004964     Document Type: Article

References (59)

1. Abbott, M., J. Bathhurst, J. Cunge, P. O'Connell, and J. Rasmussen (1986), An introduction to the European Hydrological System-Systeme Hydrologique Europeen, "SHE," 1: History and philosophy of a physically-based, distributed modelling system, J. Hydrol., 87, 45-59.
2. Abdul, A., and R. Gillham (1989), Field studies on the effects of the capillary fringe on streamflow generation, J. Hydrol., 112, 1-18.
3. Barry, D., S. Barry, and J.-Y. Parlange (1996), Capillary correction to periodic solution of the shallow flow approximation, in Mixing in Estuaries and Coastal Seas, Coastal Estuarine Stud., vol. 50, edited by C. Pattiaratchi, pp. 496-510, AGU, Washington, D. C.
4. Bear, J. (1972), Dynamics of Fluids in Porous Media, Elsevier, New York.
5. Berkowitz, B., S. Silliman, and A. Dunn (2004), Impact of the capillary fringe on local flow, chemical migration, and microbiology, Vadose Zone J., 3, 534-548.
6. Beven, K. (1982), On subsurface stormflow: Prediction with simple kinematic theory for saturated and unsaturated flows, Water Resour. Res., 18, 1627-1633.
7. Beven, K., and M. Kirkby (1979), A physically based variable contributing area model of basin hydrology, Hydrol. Sci. Bull., 24(1), 43-69.
8. Boussinesq, J. (1877), Essai sur la thorie des eaux courantes, Mem. Acad. Sci. Inst. Fr., 23, 680 pp.
9. Brooks, E., J. Boll, and P. McDaniel (2004), A hillslope-scale experiment to measure lateral saturated hydraulic conductivity, Water Resour. Res., 40, W04208, doi:10.1029/2003WR002858.
10. Brooks, E., J. Boll, and P. McDaniel (2007), Distributed and integrated response of a geographic information system-based hydrologic model in the eastern Palouse region, Hydrol. Processes, 21(1), 110-122, doi:10.1002/hyp.6230.
11. Brutsaert, W. (1994), The unit response of groundwater outflow from a hillslope, Water Resour. Res., 30, 2759-2763.
12. Chapman, T. (2005), Recharge-induced groundwater flow over a plane sloping bed: Solutions for steady and transient flow using physical and numerical models, Water Resour. Res., 41, W07027, doi:10.1029/ 2004WR003606.
13. Childs, E. (1971), Drainage of groundwater resting on a sloping bed, Water Resour. Res., 7, 1256-1263.
14. Duffy, C. (1996), A two-state integral-balance model for soil moisture and groundwater dynamics in complex terrain, Water Resour. Res., 32, 2421-2434.
15. Dunne, T., and R. Black (1970), An experimental investigation of runoff production in permeable soils, Water Resour. Res., 6, 478-489.
16. Freeze, R. (1972), Role of subsurface flow in generating surface runoff: 1. Base flow contributions to channel flow, Water Resour. Res., 8, 609-623.
17. Gillham, R. (1984), The capillary fringe and its effect on water-table response, J. Hydrol., 67, 307-324.
18. Harr, M. (1962), Groundwater and Seepage, McGraw-Hill, New York.
19. Hewlett, J., and A. Hibbert (1967), Factors affecting the response of small watersheds to precipitation in humid areas, in Forest Hydrology, edited by W. Sopper and H. Lull, pp. 275-290, Elsevier, New York.
20. Hilberts, A., E. van Loon, P. Troch, and C. Paniconi (2004), The hillslope-storage Boussinesq model for spatially variable bedrock slope, J. Hydrol., 291, 160-173.
21. Hilberts, A., P. Troch, and C. Paniconi (2005), Storage-dependent drainable porosity for complex hillslopes, Water Resour. Res., 41, W06001, doi:10.1029/2004WR003725.
22. Hillel, D. (1980), Applications of Soil Physics, Elsevier, New York.
23. Hooghoudt, S. (1947), Waarnemingen van grondwaterstanden voor de landbouw, Versl. Tech. Bijeenkomsten 1-6, Tech. Natuurw. Onderz., The Hague, Netherlands.
24. Ivanov, V., E. Vivoni, R. Bras, and D. Entekhabi (2004), Catchment hydrological response with a fully distributed triangulated irregular network model, Water Resour. Res., 40, W11102, doi:10.1029/ 2004WR003218.
25. Jayatilaka, C., and R. Gillham (1996), A deterministic-empirical model of the effect of the capillary fringe on near-stream area runoff: 1. Description of the model, J. Hydrol., 184, 299-315.
26. Kim, C., and M. Bierkens (1995), A formula for computation of time-varying recharge of ground water - Comment, J. Hydrol., 171, 191-193.
27. Kim, C., G. Salvucci, and D. Enthekhabi (1999), Groundwater-surface water interaction and the climatic spatial patterns of hillslope hydrological response, Hydrol. Earth Syst. Sci., 3(3), 375-384.
28. Koster, R., M. Suarez, A. Ducharne, M. Stieglitz, and P. Kumar (2000), A catchment-based approach to modeling land surface processes in a general circulation model, J. Geophys. Res, 105(D20), 24,809-24,822.
29. Koster, R., M. Suarez, R. Higgins, and H. van den Dool (2003), Observational evidence that soil moisture variations affect precipitation, Geophys. Res. Lett., 30(5), 1241, doi:10.1029/2002GL016571.
30. Liang, X., Z. Xie, and M. Huang (2003), A new parameterization for surface and groundwater interactions and its impact on water budgets with the variable infiltration capacity (VIC) land surface model, J. Geophys. Res, 108(D16), 8613, doi:10.1029/2002JD003090.
31. Luthin, J., and P. Day (1955), Lateral flow above a sloping water table, Soil Sci. Soc. Am. Proc., 19, 406-410.
32. Luthin, J., and R. Miller (1953), Pressure distribution in soil columns draining into the atmosphere, Soil Sci. Soc. Am. Proc., 17, 329-333.
33. McGlynn, B., J. McDonnell, J. Seibert, and C. Kendall (2004), Scale effects on headwater catchment runoff timing, flow sources, and groundwater-streamflow relations, Water Resour. Res., 40, W07504, doi:10.1029/ 2003WR002494.
34. Michiels, P., R. Hartmann, and E. de Strooper (1989), Subsurface water flow on a slope in the loamy region of Belgium, Earth Surf. Processes Landforms, 14, 533-543.
35. Nachabe, M. (2002), Analytical expressions for transient specific yield and shallow water table drainage, Water Resour. Res., 38(10), 1193, doi:10.1029/2001WR001071.
36. Nielsen, P., and P. Perrochet (2000), Watertable dynamics under capillary fringes: Experiments and modelling, Adv. Water Resour., 23, 503-515.
37. O'Loughlin, E. (1981), Saturation regions in catchments and their relations to soil and topographic properties, J. Hydrol., 53, 229-246.
38. Paniconi, C., and M. Putti (1994), A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems, Water Resour. Res., 30, 3357-3374.
39. Paniconi, C., and E. Wood (1993), A detailed model for simulation of catchment scale subsurface hydrological processes, Water Resour. Res., 29, 1601-1620.
40. Paniconi, C., P. Troch, E. van Loon, and A. Hilberts (2003), Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 2. Intercomparison with a three-dimensional Richards equation model, Water Resour. Res., 39(11), 1317, doi:10.1029/ 2002WR001730.
41. Parlange, J. Y., and W. Brutsaert (1987), A capillarity correction for free surface of groundwater, Water Resour. Res., 23, 805-808.
42. Parlange, J. Y., W. Brutsaert, J. Fink, and A. El-Kadi (1990), A capillarity correction for free surface flow revisited, Water Resour. Res., 26, 1691-1692.
43. Pikul, M., R. Street, and I. Remson (1974), A numerical model based on coupled one-dimensional Richards and Boussinesq equations, Water Resour. Res., 10, 295-302.
44. Putti, M., and C. Paniconi (2004), Time step and stability control for a coupled model of surface and subsurface flow, in Computational Methods in Water Resources, vol. 2, edited by C. Miller et al., pp. 1391-1402, Elsevier, New York.
45. Reggiani, P., M. Sivapalan, and S. Hassanizadeh (1998), A unifying framework for watershed thermodynamics: Balance equations for mass, momentum, energy and entropy, and the second law of thermodynamics, Adv. Water Res., 22(3), 367-398.
46. Seibert, J., and J. McDonnell (2002), On the dialog between experimentalist and modeler in catchment hydrology: Use of soft data for multicriteria model calibration, Water Resour. Res., 38(11), 1241, doi:10.1029/ 2001WR000978.
47. Sloan, W. (2000), A physics-based function for modeling transient groundwater discharge at the watershed scale, Water Resour. Res., 36, 225-241.
48. Smith, R., and R. Hebbert (1983), Mathematical simulation of interdependent surface and subsurface hydrologic processes, Water Resour. Res., 19, 987-1001.
49. Szilagyi, J., M. Parlange, and J. Albertson (1998), Recession anaylsis for aquifer parameter determination, Water Resour. Res., 30, 1851-1857.
50. Torres, R., W. Dietrich, D. Montgomery, S. Anderson, and K. Loague (1998), Unsaturated zone processes and the hydrologic response of a steep, unchanneled catchment, Water Resour. Res., 34, 1865-1879.
51. Troch, P. (1992), Conceptual basin-scale runoff process models for humid catchments: Analysis, synthesis and applications, Ph.D. thesis, Ghent Univ., Brussels.
52. Troch, P., E. van Loon, and A. Hilberts (2002), Analytical solutions to a hillslope-storage kinematic wave equation for subsurface flow, Adv. Water Resour., 25, 637-649.
53. Troch, P., C. Paniconi, and E. van Loon (2003), Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 1. Formulation and characteristic response, Water Resour. Res., 39(11), 1316, doi:10.1029/2002WR001728.
54. Vachaud, G., and M. Vauclin (1975), Comment on "A numerical model based on coupled one-dimensional Richards and Boussinesq equations" by Mary F. Pikul, Robert L. Street, and Irwin Remson, Water Resour. Res., 11, 506-509.
55. van Genuchten, M. (1980), A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Am. J., 44, 892-898.
56. Weiler, M., and J. McDonnell (2004), Virtual experiments: A new approach for improving process conceptualization in hillslope hydrology, J. Hydrol., 285, 3-18.
57. Wigmosta, M., L. Vail, and D. Lettenmaier (1994), A distributed hydrology-vegetation model for complex terrain, Water Resour. Res., 30, 1665-1679.
58. Wood, E., D. Lettenmaier, and V. Zartarian (1992), A land-surface hydrology paramerization with subgrid variability for general circulation models, J. Geophys. Res., 97(D3), 2717-2728.
59. Woods, R., M. Sivapalan, and J. Robinson (1997), Modeling the spatial variability of subsurface runoff using topographic index, Water Resour. Res., 33, 1061-1073.