Coupling water flow and solute transport into a physically-based surface-subsurface hydrological model

Advances in Water Resources

Volumn 34, Issue 1, 2011, Pages 128-136

  Weill, S ^a   Mazzia, A ^a   Putti, M ^a   Paniconi, C ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b CENTRE EAU TERRE ENVIRONNEMENT   (Canada)

Author keywords

Advection dispersion equation; Flow transport coupling; Integrated hydrologic modeling; Old water new water paradox; Richards equation; Surface subsurface interactions

Indexed keywords

ADVECTION-DISPERSION EQUATION; FLOW-TRANSPORT COUPLING; HYDROLOGIC MODELING; OLD WATER/NEW WATER PARADOX; RICHARDS EQUATION;

ADVECTION; DISPERSIONS;

SOLUTE TRANSPORT;

ADVECTION-DIFFUSION EQUATION; ALGORITHM; DRAINAGE; HYDROLOGICAL MODELING; RICHARDS EQUATION; RUNOFF; SOLUTE TRANSPORT; WATER FLOW;

EID: 78650176347     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2010.10.001     Document Type: Article

References (56)

1. Winter TC, Harvey JW, Franke OL, Alley WM. Ground water and surface water: a single resource. Circular 1139, US Geological Survey, Denver, CO; 1998.
2. Sophocleous M.A. Interactions between groundwater and surface water: the state of the science. Hydrogeol J 2002, 10:52-67.
3. Harvey J.W., Bencala K.E. The effect of streambed topography on surface-subsurface water exchange in mountain catchments. Water Resour Res 1993, 29(1):89-98.
4. Storey R.G., Howard K.W.F., Williams D.D. Factors controlling riffle-scale hyporheic exchange flows and their seasonal changes in a gaining stream: a three-dimensional groundwater flow model. Water Resour Res 2003, 39(2). 10.1029/2002WR001367.
5. McDonnell J.J. A rationale for old water discharge through macropore in a steep, humid catchment. Water Resour Res 1990, 26(11):2821-2970.
6. Pearce A.J. Streamflow generation processes: An austral view. Water Resour Res 1990, 26(12):3037-3047.
7. Kirchner J.W. A double paradox in catchment hydrology and geochemistry. Hydrol Process 2003, 17(4):871-874.
8. McDonnell J.J., McGuire K., Aggarwal P., Beven K.J., Biondi D., Destouni G., et al. How old is streamwater? Open questions in catchment transit time conceptualization, modelling and analysis. Hydrol Process 2010, 24:1745-1754.
9. Jones J.P., Sudicky E.A., Brookfield A.E., Park Y.J. An assessment of the tracer-based approach to quantifying groundwater contributions to streamflow. Water Resour Res 2006, 42:W02407. 10.1029/2005WR004130.
10. Buttle J.M. Isotope hydrograph separations and rapid delivery of pre-event water from drainage basins. Prog Phys Geogr 1998, 18(1):16-41.
11. Burns D.A. Stormflow-hydrograph separation based on isotopes: the thrill is gone - what's next?. Hydrol Process 2002, 16(7):1515-1517.
12. Ribolzi O., Karambiri H., Bariac T., Benedetti M., Caquineaux S., Descloitres M., et al. Mechanisms affecting stormflow generation and solute behaviour in a Sahelian headwater catchment. J Hydrol 2007, 337(1-2):104-116.
13. Weiler M., McDonnell J.J. Virtual experiments: a new approach for improving process conceptualisation in hillslope hydrology. J Hydrol 2004, 285(1-4):3-18.
14. Cloke H.L., Anderson M.G., McDonnell J.J., Renaud J.P. Using numerical modelling to evaluate the capillary fringe groundwater ridging hypothesis of streamflow generation. J Hydrol 2006, 316(1-4):141-162.
15. Fiori A., Romanelli M., Cavalli D.J., Russo D. Numerical experiments of streamflow generation in steep catchments. J Hydrol 2007, 339(3-4):183-192.
16. Fiori A., Russo D. Numerical analyses of subsurface flow in a steep hillslope under rainfall: the role of the spatial heterogeneity of the formation hydraulic properties. Water Resour Res 2007, 43(7):W07445. 10.1029/2006WR005365.
17. Fiori A., Russo D. Travel time distribution in a hillslope: insight from numerical simulations. Water Resour Res 2008, 44(12):W12426. 10.1029/2008WR007135.
18. Vanderkwaak J.E., Loague K. Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model. Water Resour Res 2001, 37(4):999-1013.
19. Panday S., Huyakorn P.S. A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow. Adv Water Resour 2004, 27:361-382.
20. Kollet S.J., Maxwell R.M. Integrated surface-groundwater flow modeling: a free-surface overland flow boundary condition in a parallel groundwater flow model. Adv Water Resour 2006, 29(7):945-958.
21. Weill S., Mouche E., Patin J. Darcy multi-domain approach for modelling surface/subsurface flow and transport at the plot scale. J Hydrol 2009, 366(1-4):9-20.
22. Camporese M., Paniconi C., Putti M., Orlandini S. Surface-subsurface flow modeling with path-based runoff routing, boundary condition-based coupling, and assimilation of multisource observation data. Water Resour Res 2010, 46:W02512. 10.1029/2008WR007536.
23. Therrien R, McLaren RG, Sudicky EA, Panday SM. HydroGeoSphere: a three-dimensional numerical model describing fully-integrated subsurface and surface flow and solute transport. Technical report, Groundwater Simulations Group, Waterloo, Ont., Canada; 2005.
24. Mazzia A.M., Putti M. High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media. J Comput Phys 2005, 208(1):154-174.
25. Paniconi C., Wood E.F. A detailed model for simulation of catchment scale subsurface hydrologic processes. Water Resour Res 1993, 29(6):1601-1620.
26. Orlandini S., Rosso R. Diffusion wave modeling of distributed catchment dynamics. J Hydrol Eng ASCE 1996, 1(3):103-113.
27. Bixio A.C., Orlandini S., Paniconi C., Putti M. Physically-based distributed model for coupled surface runoff and subsurface flow simulation at the catchment scale. Proceedings XIII international conference on computational methods in water resources 2000, 1115-1122. Balkema, Rotterdam, The Netherlands.
28. Putti M., Paniconi C. Time step and stability control for a coupled model of surface and subsurface flow. Proceedings XV international conference on computational methods in water resources 2004, vol. 2:1391-1402. Elsevier, New York.
29. van Genuchten M.T., Nielsen D.R. On describing and predicting the hydraulic properties of unsaturated soils. Ann Geophys 1985, 3(5):615-628.
30. Brooks RH, Corey AT. Hydraulic properties of porous media. Hydrology paper 3, Colorado State University, Fort Collins, CO; 1964.
31. Huyakorn P.S., Thomas S.D., Thompson B.M. Techniques for making finite elements competitive in modeling flow in variably saturated porous media. Water Resour Res 1984, 20(8):1099-1115.
32. Paniconi C., Putti M. A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems. Water Resour Res 1994, 30(12):3357-3374.
33. Ponce V.M. Diffusion wave modeling of catchment dynamics. J Hydrol Eng ASCE 1986, 112(8):716-727.
34. Orlandini S., Rosso R. Parameterization of stream channel geometry in the distributed modeling of catchment dynamics. Water Resour Res 1998, 34(8):1971-1985.
35. Leopold LB, Maddock Jr T. The hydraulic geometry of stream channels and some physiographic implications. Professional paper 252, US Geological Survey, Washington, DC; 1953.
36. Bear J. Hydraulics of groundwater 1979, McGraw-Hill, New York.
37. Mazzia A.M., Bergamaschi L., Putti M. A time-splitting technique for advection-dispersion equation in groundwater. J Comput Phys 2000, 157(1):181-198.
38. Mazzia A.M., Putti M. Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media. J Comput Appl Math 2006, 185(2):347-359.
39. Mazzia A.M., Bergamaschi L., Putti M. On the reliability of numerical solutions of brine transport in groundwater: analysis of infiltration from a salt lake. Transport Porous Med 2001, 43(1):65-86.
40. Bergamaschi L., Mazzia A., Putti M. A time-splitting technique for the solution of density dependent flow and transport in groundwater. Computational methods for subsurface flow and transport 2000, vol. 1:75-82. Balkema, Rotterdam, The Netherlands.
41. Forsyth P.A. A control volume finite element approach to NAPL groundwater contamination. SIAM J Sci Stat Comput 1991, 12(5):1029-1057.
42. Letniowski F.W. Three-dimensional Delaunay triangulations for finite element approximations to a second-order diffusion operator. SIAM J Sci Stat Comput 1992, 13(3):765-770.
43. Putti M., Cordes C. Finite element approximation of the diffusion operator on tetrahedra. SIAM J Sci Comput 1998, 19(4):1154-1168.
44. Cordes C., Putti M. Accuracy of Galerkin finite elements for the groundwater flow equation in two and three dimensional triangulations. Int J Numer Methods Eng 2001, 52:371-387.
45. Klausen R., Russel T. Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Comput Geosci 2005, 8:341-377. 10.1007/s10596-005-1815-9.
46. Putti M., Sartoretto F. Linear Galerkin vs. mixed finite element 2D flow fields. Int J Numer Methods Fluids 2009, 60:1011-1031.
47. Larson M.G., Niklasson A.J. A conservative flux for the continuous Galerkin method based on discontinuous enrichment. Calcolo 2004, 41:65-76. 10.1007/s10092-004-0084-7.
48. Kees C.E., Farthing M.W., Dawson C.N. Locally conservative, stabilized finite element methods for variably saturated flow. Comput Methods Appl Mech Eng 2008, 197(51-52):4610-4625.
49. Horton R.E. The role of infiltration in the hydrologic cycle. EOS Trans Am Geophys Union 1933, 14:446-460.
50. Rubin J. Numerical analysis of ponded rainfall infiltration. Proceedings of the Wageningen symposium 1969, 440-451. IASH.
51. Abdul A.S., Gillham R.W. Laboratory studies of the effects of the capillary fringe on streamflow generation. J Hydrol 1984, 112(1-2):1-18.
52. Furman A. Modeling coupled surface-subsurface flow processes: a review. Vadose Zone J 2008, 7(2):741-756.
53. Ebel B.A., Mirus B.B., Heppner C.S., Vanderkwaak J.E., Loague K. First-order exchange coefficient coupling for simulating surface water-groundwater interactions: parameter sensitivity and consistency with a physics-based approach. Hydrol Process 2009, 23(13):1949-1959.
54. Sulis M., Meyerhoff S., Paniconi C., Maxwell R.M., Putti M., Kollet S.J. A comparison of two physics-based numerical models for simulating surface water-groundwater interactions. Adv Water Resour 2010, 33(4):456-467. 10.1016/j.advwatres.2010.01.010.
55. Renaud J.P., Cloke H.L., Weiler M. Comment on an assessment of the tracer-based approach to quantifying groundwater contributions to streamflow. Water Resour Res 2007, 43(9). 10.1029/2006WR005157.
56. Sudicky E.A., Jones J.P., Brookfield A.E., Park Y.J. Reply to comment by J.-P. Renaud et al. on an assessment of the tracer-based approach to quantifying groundwater contributions to streamflow. Water Resour Res 2007, 43(9). 10.1029/2006WR005416.