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Published in: Environmental Earth Sciences 2/2013

01-05-2013 | Special Issue

A coupled surface/subsurface flow model accounting for air entrapment and air pressure counterflow

Authors: Jens-Olaf Delfs, Wenqing Wang, Thomas Kalbacher, Ashok Kumar Singh, Olaf Kolditz

Published in: Environmental Earth Sciences | Issue 2/2013

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Abstract

This work introduces the soil air system into integrated hydrology by simulating the flow processes and interactions of surface runoff, soil moisture and air in the shallow subsurface. The numerical model is formulated as a coupled system of partial differential equations for hydrostatic (diffusive wave) shallow flow and two-phase flow in a porous medium. The simultaneous mass transfer between the soil, overland, and atmosphere compartments is achieved by upgrading a fully established leakance concept for overland-soil liquid exchange to an air exchange flux between soil and atmosphere. In a new algorithm, leakances operate as a valve for gas pressure in a liquid-covered porous medium facilitating the simulation of air out-break events through the land surface. General criteria are stated to guarantee stability in a sequential iterative coupling algorithm and, in addition, for leakances to control the mass exchange between compartments. A benchmark test, which is based on a classic experimental data set on infiltration excess (Horton) overland flow, identified a feedback mechanism between surface runoff and soil air pressures. Our study suggests that air compression in soils amplifies surface runoff during high precipitation at specific sites, particularly in near-stream areas.

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Appendix
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Literature
go back to reference Abdul AS, Gillham RW (1989) Field studies of the effects of the capillary fringe on streamflow generation. J Hydrol 112:1–18CrossRef Abdul AS, Gillham RW (1989) Field studies of the effects of the capillary fringe on streamflow generation. J Hydrol 112:1–18CrossRef
go back to reference Akan AO, Yen BC (1981) Mathematical model of shallow water flow over porous media. J Hydraul Div Am Soc Civ Eng 107(4):479–494 Akan AO, Yen BC (1981) Mathematical model of shallow water flow over porous media. J Hydraul Div Am Soc Civ Eng 107(4):479–494
go back to reference Altdorff D, Epting J, Van der Kruk J, Dietrich P, Huggenberger P (2013) Recognition of the character of coarse fluvial deposits using hydrogeophysical methods: an approach for sustainable management of subalpine riverine systems. Environ Earth Sci. 69(2). doi:10.1007/s12665-013-2304-4 Altdorff D, Epting J, Van der Kruk J, Dietrich P, Huggenberger P (2013) Recognition of the character of coarse fluvial deposits using hydrogeophysical methods: an approach for sustainable management of subalpine riverine systems. Environ Earth Sci. 69(2). doi:10.​1007/​s12665-013-2304-4
go back to reference Bear J (1988) Dynamics of fluids in porous media, 2nd edn. Dover Publications Inc, New York Bear J (1988) Dynamics of fluids in porous media, 2nd edn. Dover Publications Inc, New York
go back to reference Beyer C, Altfelder S, Duijnsveld WHM, Streck T (2009) Modelling spatial variability and uncertainty of cadmium leaching to groundwater in an urban region. J Hydrol 369:274–283CrossRef Beyer C, Altfelder S, Duijnsveld WHM, Streck T (2009) Modelling spatial variability and uncertainty of cadmium leaching to groundwater in an urban region. J Hydrol 369:274–283CrossRef
go back to reference Beyer C, Bauer S, Kolditz O (2006) Uncertainty assessment of contaminant plume length estimates in heterogeneous aquifers. J Contam Hydrol 87:73–95CrossRef Beyer C, Bauer S, Kolditz O (2006) Uncertainty assessment of contaminant plume length estimates in heterogeneous aquifers. J Contam Hydrol 87:73–95CrossRef
go back to reference Bhallamudi SM, Panday S, Huyakorn PS (2003) Sub-timing in fluid flow and transport simulations. Adv Water Resour 26(5):477–489CrossRef Bhallamudi SM, Panday S, Huyakorn PS (2003) Sub-timing in fluid flow and transport simulations. Adv Water Resour 26(5):477–489CrossRef
go back to reference Bogacz P, Kaczmarek J, Leśniewska D (2006) Influence of air entrapment on flood embarkment failure mechanis—model tests. Technol Sci 11:188–201 Bogacz P, Kaczmarek J, Leśniewska D (2006) Influence of air entrapment on flood embarkment failure mechanis—model tests. Technol Sci 11:188–201
go back to reference Brunner P, Doherty J, Simmons CT (2012) Uncertainty assessment and implications for data acquisition in support of integrated hydrologic models. Water Resour Res 48. doi:10.1029/2011WR011342 Brunner P, Doherty J, Simmons CT (2012) Uncertainty assessment and implications for data acquisition in support of integrated hydrologic models. Water Resour Res 48. doi:10.​1029/​2011WR011342
go back to reference Brunner P, Therrien R, Renard P, Simmons CT, Hendricks-Franssen H-J (2013) Recent advances in understanding and modeling surface water and groundwater interactions (under review) Brunner P, Therrien R, Renard P, Simmons CT, Hendricks-Franssen H-J (2013) Recent advances in understanding and modeling surface water and groundwater interactions (under review)
go back to reference Butler JJ, Zlotnik VA, Tsou MS (2001) Drawdown and stream depletion produced by pumping in the vicinity of a finite-width stream of shallow penetration. Groundwater 36(5):651–659CrossRef Butler JJ, Zlotnik VA, Tsou MS (2001) Drawdown and stream depletion produced by pumping in the vicinity of a finite-width stream of shallow penetration. Groundwater 36(5):651–659CrossRef
go back to reference Camporese M, Paniconi C, Puti M, Orlandi S (2010) Surface-subsurface flow modeling with path-based runoff routing, boundary condition-based coupling, and assimilation of multisource observation data. Water Resour Res. 46. doi:10.1029/2008WR007536 Camporese M, Paniconi C, Puti M, Orlandi S (2010) Surface-subsurface flow modeling with path-based runoff routing, boundary condition-based coupling, and assimilation of multisource observation data. Water Resour Res. 46. doi:10.​1029/​2008WR007536
go back to reference Centler F, Shao H, deBiase C, Park C-H, Regnier P, Kolditz O, Thullner M (2010) GeoSysBRNS—a flexible multidimensional reactive transport model for simulating subsurface processes. Comput Geosci 36:397–405CrossRef Centler F, Shao H, deBiase C, Park C-H, Regnier P, Kolditz O, Thullner M (2010) GeoSysBRNS—a flexible multidimensional reactive transport model for simulating subsurface processes. Comput Geosci 36:397–405CrossRef
go back to reference Culligan PJ, Barry DA, Parlange J-Y, Steenhuis TS, Haverkamp R (2000) Infiltration with controlled air escape. Water Resour Res 36(3):781–785CrossRef Culligan PJ, Barry DA, Parlange J-Y, Steenhuis TS, Haverkamp R (2000) Infiltration with controlled air escape. Water Resour Res 36(3):781–785CrossRef
go back to reference Delfs J-O, Park C-H, Kolditz O (2009) A sensitivity analysis of Hortonian flow. Adv Water Resour 32(9):1386–1395CrossRef Delfs J-O, Park C-H, Kolditz O (2009) A sensitivity analysis of Hortonian flow. Adv Water Resour 32(9):1386–1395CrossRef
go back to reference Delfs J-O, Blumensaat F, Wang W, Krebs P, Kolditz O (2012a) Coupling hydrogeological with surface runoff model in a Poltva case study in Western Ukraine. Environ Earth Sci 65:1439–1457CrossRef Delfs J-O, Blumensaat F, Wang W, Krebs P, Kolditz O (2012a) Coupling hydrogeological with surface runoff model in a Poltva case study in Western Ukraine. Environ Earth Sci 65:1439–1457CrossRef
go back to reference Delfs J-O, Sudicky EA, Park Y-J, Laren RG, Kalbacher T, Kolditz O (2012b) An inter-comparison of two coupled hydrogeological models. In: Proceedings of XIX international conference on water resources CMWR 2012 Delfs J-O, Sudicky EA, Park Y-J, Laren RG, Kalbacher T, Kolditz O (2012b) An inter-comparison of two coupled hydrogeological models. In: Proceedings of XIX international conference on water resources CMWR 2012
go back to reference Discacciati M, Quarteroni A (2009) Navier–Stokes/Darcy coupling: modeling, analysis and numerical approximation. Rev Math Comput 22(2):315–426 Discacciati M, Quarteroni A (2009) Navier–Stokes/Darcy coupling: modeling, analysis and numerical approximation. Rev Math Comput 22(2):315–426
go back to reference Doro KO, Leven C, Cirpka OA (2013) Delineating subsurface heterogeneity at a River Loop using geophysical and hydrogeological methods. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2316-0 Doro KO, Leven C, Cirpka OA (2013) Delineating subsurface heterogeneity at a River Loop using geophysical and hydrogeological methods. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2316-0
go back to reference Ebel BA, Mirus BA, Heppner CS, Van der Kwaak JE, Loague K (2009) First-order exchange coefficient coupling for simulating surface water-groundwater interactions: parameter sensitivity and consistency with a physics-based approach. Hydrol Process 23:1949–1959CrossRef Ebel BA, Mirus BA, Heppner CS, Van der Kwaak JE, Loague K (2009) First-order exchange coefficient coupling for simulating surface water-groundwater interactions: parameter sensitivity and consistency with a physics-based approach. Hydrol Process 23:1949–1959CrossRef
go back to reference Elmer M, Gerwin W, Schaaf W, Zaplata MK, Hohberg K, Nenov R, Bens O, Hüttl RF (2013) Dynamics of initial ecosystem development at the artificial catchment Chicken Creek, Lusatia, Germany. Environ Earth Sci 69(2) Elmer M, Gerwin W, Schaaf W, Zaplata MK, Hohberg K, Nenov R, Bens O, Hüttl RF (2013) Dynamics of initial ecosystem development at the artificial catchment Chicken Creek, Lusatia, Germany. Environ Earth Sci 69(2)
go back to reference Engelhardt I, Rausch R, Keim B, Al-Saud M, Schüth C (2013a) Surface and subsurface conceptual model of an arid environment with respect to mid and late holocene climate changes. Environ Earth Sci 69(2) Engelhardt I, Rausch R, Keim B, Al-Saud M, Schüth C (2013a) Surface and subsurface conceptual model of an arid environment with respect to mid and late holocene climate changes. Environ Earth Sci 69(2)
go back to reference Engelhardt I, Rausch R, Lang U, Al-Saud M, Schüth C (2013b) Impact of shifts in climate during the mid- and late Holocene on groundwater resources on the Arabian Peninsula. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2303-5 Engelhardt I, Rausch R, Lang U, Al-Saud M, Schüth C (2013b) Impact of shifts in climate during the mid- and late Holocene on groundwater resources on the Arabian Peninsula. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2303-5
go back to reference Ferrari S, Saleri F (2004) A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Math Modell Numer Anal 38(2):211–234CrossRef Ferrari S, Saleri F (2004) A new two-dimensional shallow water model including pressure effects and slow varying bottom topography. Math Modell Numer Anal 38(2):211–234CrossRef
go back to reference Fleckenstein JH, Krause S, Hannah DM, Boano F (2010) Groundwater-surface water interactions: new methods and models to improve understanding of processes and dynamics. Adv Water Resour 33(11):1291–1295CrossRef Fleckenstein JH, Krause S, Hannah DM, Boano F (2010) Groundwater-surface water interactions: new methods and models to improve understanding of processes and dynamics. Adv Water Resour 33(11):1291–1295CrossRef
go back to reference Flipo N, Monteil C, Poulin M, de Fouquet C, Krimissa M (2012) Hybrid fitting of a hydrosystem model: long-term insight into the Beauce aquifer functioning (France). Water Resour Res 48. doi:10.1029/2011WR011092 Flipo N, Monteil C, Poulin M, de Fouquet C, Krimissa M (2012) Hybrid fitting of a hydrosystem model: long-term insight into the Beauce aquifer functioning (France). Water Resour Res 48. doi:10.​1029/​2011WR011092
go back to reference Forsyth PA, Simpson RB (1991) A two phase, two component model for natural convection in a porous medium. Int J Numer Method Fluids 12:655–682CrossRef Forsyth PA, Simpson RB (1991) A two phase, two component model for natural convection in a porous medium. Int J Numer Method Fluids 12:655–682CrossRef
go back to reference Frei S, Fleckenstein JH, Kollet SJ, Maxwell RM (2009) Patterns and dynamics of river-aquifer exchange with variably-saturated flow using a fully-coupled model. J Hydrol 375(3–4):383–393CrossRef Frei S, Fleckenstein JH, Kollet SJ, Maxwell RM (2009) Patterns and dynamics of river-aquifer exchange with variably-saturated flow using a fully-coupled model. J Hydrol 375(3–4):383–393CrossRef
go back to reference Furman A (2008) Modeling coupled surface-subsurface flow processes: a review. Vadose Zone J 7:741–756CrossRef Furman A (2008) Modeling coupled surface-subsurface flow processes: a review. Vadose Zone J 7:741–756CrossRef
go back to reference Gayler S, Ingwersen J, Priesack E, Wöhling E, Wulfmeyer V, Streck T (2013) Assessing the relevance of sub surface processes for the simulation of evapotranspiration and soil moisture dynamics with CLM3.5: comparison with field data and crop model simulations. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2309-z Gayler S, Ingwersen J, Priesack E, Wöhling E, Wulfmeyer V, Streck T (2013) Assessing the relevance of sub surface processes for the simulation of evapotranspiration and soil moisture dynamics with CLM3.5: comparison with field data and crop model simulations. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2309-z
go back to reference Gerbeau J-F, Perthame B (2001) Derivation of viscous Saint Venant system for laminar shallow water: numerical validation. Discr Cont Dyn Syst Ser B 1(1):89–102CrossRef Gerbeau J-F, Perthame B (2001) Derivation of viscous Saint Venant system for laminar shallow water: numerical validation. Discr Cont Dyn Syst Ser B 1(1):89–102CrossRef
go back to reference Gerke HH, van Genuchten MT (1993) A dual-porosity model for simulating preferential movement of water and solutes in structured porous media. Water Resour Res 29:305–319CrossRef Gerke HH, van Genuchten MT (1993) A dual-porosity model for simulating preferential movement of water and solutes in structured porous media. Water Resour Res 29:305–319CrossRef
go back to reference Ghasemizadeh M, Schirmer M (2013) Subsurface flow contribution in the hydrological cycle: lessons learned and challenges ahead—a review. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2329-8 Ghasemizadeh M, Schirmer M (2013) Subsurface flow contribution in the hydrological cycle: lessons learned and challenges ahead—a review. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2329-8
go back to reference Gottardi G, Venutelli M (1993) A control-volume finite-element model for two-dimensional overland flow. J Hydrol 16:277–284 Gottardi G, Venutelli M (1993) A control-volume finite-element model for two-dimensional overland flow. J Hydrol 16:277–284
go back to reference Govindaraju RS, Kavvas ML (1991) Dynamics of moving boundary overland flows over infiltrating surfaces at hillslopes. Water Resour Res 27(8):1885–1898CrossRef Govindaraju RS, Kavvas ML (1991) Dynamics of moving boundary overland flows over infiltrating surfaces at hillslopes. Water Resour Res 27(8):1885–1898CrossRef
go back to reference Gräbe A, Rödiger T, Rink K, Fischer T, Sun F, Wang W, Siebert C, Kolditz O (2013) Numerical analysis of the groundwater regime in the western Dead Sea Escarpment, Israel + West Bank. Environ Earth Sci 69(2). doi:10.1007/s12665-012-1795-8 Gräbe A, Rödiger T, Rink K, Fischer T, Sun F, Wang W, Siebert C, Kolditz O (2013) Numerical analysis of the groundwater regime in the western Dead Sea Escarpment, Israel + West Bank. Environ Earth Sci 69(2). doi:10.​1007/​s12665-012-1795-8
go back to reference Grathwohl P, Rügner H, Wöhling T, Osenbrück K, Schwienteck M, Gayler S, Wollschläger U, Selle B, Pause M, Delfs J-O, Grzeschik M, Weller U, Ivanov M, Cirpka OA, Maier U, Kuch B, Nowak W, Wulfmeyer V, Warrach-Sagi K, Streck T, Attinger S, Bilke L, Dietrich P, Fleckenstein JH, Kalbacher T, Kolditz O, Rink K, Samaniego L, Vogel H-J, Werban U, Teutsch G (2013) Catchments as reactors—a comprehensive approach for water fluxes and solute turn-over. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2281-7 Grathwohl P, Rügner H, Wöhling T, Osenbrück K, Schwienteck M, Gayler S, Wollschläger U, Selle B, Pause M, Delfs J-O, Grzeschik M, Weller U, Ivanov M, Cirpka OA, Maier U, Kuch B, Nowak W, Wulfmeyer V, Warrach-Sagi K, Streck T, Attinger S, Bilke L, Dietrich P, Fleckenstein JH, Kalbacher T, Kolditz O, Rink K, Samaniego L, Vogel H-J, Werban U, Teutsch G (2013) Catchments as reactors—a comprehensive approach for water fluxes and solute turn-over. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2281-7
go back to reference Hantush MS (1965) Wells near streams with semi-pervious beds. J Geophys Res 70(2):2829–2838CrossRef Hantush MS (1965) Wells near streams with semi-pervious beds. J Geophys Res 70(2):2829–2838CrossRef
go back to reference Hartwig M, Theuring P, Rode M, Borchardt D (2011) Sources of suspended sediments and its implications on ecosystem functions in the Kharaa river (Mongolia). Environ Earth Sci. doi:10.1007/s12665-011-1198-2 Hartwig M, Theuring P, Rode M, Borchardt D (2011) Sources of suspended sediments and its implications on ecosystem functions in the Kharaa river (Mongolia). Environ Earth Sci. doi:10.​1007/​s12665-011-1198-2
go back to reference Helmig R (1997) Multiphase flow and transport processes in the subsurface. Springer, BerlinCrossRef Helmig R (1997) Multiphase flow and transport processes in the subsurface. Springer, BerlinCrossRef
go back to reference Huggenberger P, Epting J, Scheidler S (2013) Concepts for the sustainable management of multi-sclae flow systems: the groundwater system within the Laufen Basin, Switzerland. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2308-0 Huggenberger P, Epting J, Scheidler S (2013) Concepts for the sustainable management of multi-sclae flow systems: the groundwater system within the Laufen Basin, Switzerland. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2308-0
go back to reference Hunt B (1999) Unsteady stream depletion from groundwater pumping. Groundwater 37(1):98–102CrossRef Hunt B (1999) Unsteady stream depletion from groundwater pumping. Groundwater 37(1):98–102CrossRef
go back to reference Ingwersen J, Steffens K, Högyb P, Warrach-Sagic K, Zhunusbayeva D, Poltoradnev M, Gäbler R, Wizemann H-D, Fangmeier A, Wulfmeyer V, Streck T (2010) Comparison of NOAH simulations with eddy covariance and soil water measurements at a winter wheat stand. Agric For Meteorol 151(3):345–355CrossRef Ingwersen J, Steffens K, Högyb P, Warrach-Sagic K, Zhunusbayeva D, Poltoradnev M, Gäbler R, Wizemann H-D, Fangmeier A, Wulfmeyer V, Streck T (2010) Comparison of NOAH simulations with eddy covariance and soil water measurements at a winter wheat stand. Agric For Meteorol 151(3):345–355CrossRef
go back to reference Ivanov VY, Bras RL, Vivoni ER (2008) Vegetation-hydrology dynamics in complex terrain of semiarid areas: 1. A mechanistic approach to modeling dynamic feedbacks. Water Resour Res 44. doi:10.1029/2006WR005588 Ivanov VY, Bras RL, Vivoni ER (2008) Vegetation-hydrology dynamics in complex terrain of semiarid areas: 1. A mechanistic approach to modeling dynamic feedbacks. Water Resour Res 44. doi:10.​1029/​2006WR005588
go back to reference Jones JAA (1994) Soil piping and its hydrogeomorphic function. Cuaternario y Geomorfologia 8(3-4):77–102 Jones JAA (1994) Soil piping and its hydrogeomorphic function. Cuaternario y Geomorfologia 8(3-4):77–102
go back to reference Kalbacher T, Schneider CL, Wang W, Hildebrandt A, Attinger S, Kolditz O (2011) Parallelized modelling of soil-coupled 3D water uptake of multiple root systems with automatic adaptive time step control. Vadose Zone J. doi:10.2136/vzj2010.0099 Kalbacher T, Schneider CL, Wang W, Hildebrandt A, Attinger S, Kolditz O (2011) Parallelized modelling of soil-coupled 3D water uptake of multiple root systems with automatic adaptive time step control. Vadose Zone J. doi:10.​2136/​vzj2010.​0099
go back to reference Kim J, Tchelepi HA, Juanes R (2009) Stability, accuracy, and efficiency of sequential methods for coupled flow and geomechanics. SPE J 16(2):249–262 Kim J, Tchelepi HA, Juanes R (2009) Stability, accuracy, and efficiency of sequential methods for coupled flow and geomechanics. SPE J 16(2):249–262
go back to reference Klammler G, Kupfersberger H, Rock G, Fank J (2013) Modeling coupled unsaturated and saturated nitrate distribution of the aquifer Westliches Leibnitzer Feld, Austria. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2302-6 Klammler G, Kupfersberger H, Rock G, Fank J (2013) Modeling coupled unsaturated and saturated nitrate distribution of the aquifer Westliches Leibnitzer Feld, Austria. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2302-6
go back to reference Kolditz O, Bauer S, Bilke L, Böttcher N, Delfs J-O, Fischer T, Görke UJ, Kalbacher T, Kosakowski G, McDermott CI, Park CH, Radu F, Rink K, Shao H, Shao HB, Sun F, Sun YY, Singh AK, Taron J, Walther M, Wang W, Watanabe N, Wu Y, Xie M, Xu W, Zehner B (2012) OpenGeoSys: an open-source initiative for numerical simulation of thermo-hydro-mechanical/chemical (THM/C) processes in porous media. Environ Earth Sci 67(2). doi:10.1007/s12665-012-1546-x Kolditz O, Bauer S, Bilke L, Böttcher N, Delfs J-O, Fischer T, Görke UJ, Kalbacher T, Kosakowski G, McDermott CI, Park CH, Radu F, Rink K, Shao H, Shao HB, Sun F, Sun YY, Singh AK, Taron J, Walther M, Wang W, Watanabe N, Wu Y, Xie M, Xu W, Zehner B (2012) OpenGeoSys: an open-source initiative for numerical simulation of thermo-hydro-mechanical/chemical (THM/C) processes in porous media. Environ Earth Sci 67(2). doi:10.​1007/​s12665-012-1546-x
go back to reference Kollet SJ, Maxwell RM (2006) Integrated surface-groundwater flow modeling: a free-surface overland flow boundary condition in a parallel groundwater flow model. Adv Water Resour 29(7):945–958CrossRef Kollet SJ, Maxwell RM (2006) Integrated surface-groundwater flow modeling: a free-surface overland flow boundary condition in a parallel groundwater flow model. Adv Water Resour 29(7):945–958CrossRef
go back to reference Kollet SJ, Maxwell RM, Woodward CW, Smith S, Vanderborgth J, Vereecken H, Simmer C (2010) Proof of concept of regional scale hydrologic simulations at hydrologic resolution utilizing massively parallel computer resources. Water Resour Res 46:W04201. doi:10.1029/2009WR008730 CrossRef Kollet SJ, Maxwell RM, Woodward CW, Smith S, Vanderborgth J, Vereecken H, Simmer C (2010) Proof of concept of regional scale hydrologic simulations at hydrologic resolution utilizing massively parallel computer resources. Water Resour Res 46:W04201. doi:10.​1029/​2009WR008730 CrossRef
go back to reference Krüger E, Teutsch G (2013) International viewpoint and news. The Water Science Alliance initiative: Germany’s researchers joint expertise to face global water problems. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2280-8 Krüger E, Teutsch G (2013) International viewpoint and news. The Water Science Alliance initiative: Germany’s researchers joint expertise to face global water problems. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2280-8
go back to reference Lemke D, Schnegg P-A, Schwientek M, Osenbrück K, Cirpka OA (2013) On-line fluorometry of multiple reactive and conservative tracers in streams. Environ. Earth Sci. 69(2). doi:10.1007/s12665-013-2305-3 Lemke D, Schnegg P-A, Schwientek M, Osenbrück K, Cirpka OA (2013) On-line fluorometry of multiple reactive and conservative tracers in streams. Environ. Earth Sci. 69(2). doi:10.​1007/​s12665-013-2305-3
go back to reference Liggett J, Werner AD, Simmons CT (2012) Influence of the first-order exchange coefficient on simulation of coupled surface-subsurface flow. J. Hydrol. 414-415:503–515CrossRef Liggett J, Werner AD, Simmons CT (2012) Influence of the first-order exchange coefficient on simulation of coupled surface-subsurface flow. J. Hydrol. 414-415:503–515CrossRef
go back to reference Maier U, Flegr M, Rügner H, Grathwohl P (2013) Long-term solute transport and geochemical equilibria in seepage water and groundwater in a catchment cross section. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2393-0 Maier U, Flegr M, Rügner H, Grathwohl P (2013) Long-term solute transport and geochemical equilibria in seepage water and groundwater in a catchment cross section. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2393-0
go back to reference Marke T, Strasser U, Kraller G, Warscher M, Kunstmann H, Franz H, Vogel M (2013) The Berchtesgaden National Park (Bavaria, Germany)—a platform for interdisciplinary catchment research. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2317-z Marke T, Strasser U, Kraller G, Warscher M, Kunstmann H, Franz H, Vogel M (2013) The Berchtesgaden National Park (Bavaria, Germany)—a platform for interdisciplinary catchment research. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2317-z
go back to reference Morita M, Yen BC (2002) Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows. J Hydraul Eng 128(2):184–200CrossRef Morita M, Yen BC (2002) Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows. J Hydraul Eng 128(2):184–200CrossRef
go back to reference Mosthaf K, Baber K, Flemisch B, Helmig R, Leijnse A, Rybak I, Wohlmuth B (2011) A coupling concept for two-phase flow compositional porous-medium and single-phase compositional flow. Water Resour Res 47. doi:10.1029/2011WR10685 Mosthaf K, Baber K, Flemisch B, Helmig R, Leijnse A, Rybak I, Wohlmuth B (2011) A coupling concept for two-phase flow compositional porous-medium and single-phase compositional flow. Water Resour Res 47. doi:10.​1029/​2011WR10685
go back to reference Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513–522CrossRef Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513–522CrossRef
go back to reference Osenbrück K, Wöhling T, Lemke D, Rohrbach N, Schwientek M, Leven C, Castillo Alvarez C, Taubald H, Cirpka OA (2013) Assessing hyporheic exchange and associated travel times by hydraulic, chemical, and isotopic monitoring at the Steinlach Test Site, Germany. Environ Earth Sci 69(2). doi:10.1007/s12665-012-2155-4 Osenbrück K, Wöhling T, Lemke D, Rohrbach N, Schwientek M, Leven C, Castillo Alvarez C, Taubald H, Cirpka OA (2013) Assessing hyporheic exchange and associated travel times by hydraulic, chemical, and isotopic monitoring at the Steinlach Test Site, Germany. Environ Earth Sci 69(2). doi:10.​1007/​s12665-012-2155-4
go back to reference Panday S, Huyakorn PS (2004) A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow. Adv Water Resour 27:361–382CrossRef Panday S, Huyakorn PS (2004) A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow. Adv Water Resour 27:361–382CrossRef
go back to reference Park C-H, Böttcher N, Wang W, Kolditz O (2011) Are upwind techniques in multi-phase flow models necessary?. J Comput Phys 230(22):8304–8312CrossRef Park C-H, Böttcher N, Wang W, Kolditz O (2011) Are upwind techniques in multi-phase flow models necessary?. J Comput Phys 230(22):8304–8312CrossRef
go back to reference Partington D, Brunner P, Simmons CT, Therrien R, Werner AD, Dandy GC, Maier HR (2011) A hydraulic mixing-cell method to quantify the groundwater component of streamflow within spatially distributed fully integrated surface-groundwater flow models. Environ Modell Softw 26:886–898CrossRef Partington D, Brunner P, Simmons CT, Therrien R, Werner AD, Dandy GC, Maier HR (2011) A hydraulic mixing-cell method to quantify the groundwater component of streamflow within spatially distributed fully integrated surface-groundwater flow models. Environ Modell Softw 26:886–898CrossRef
go back to reference Pérez AJ, Abraháo R, Causapé J, Cirpka OA, Bürger CM (2011) Simulating the transition of a semi-arid rainfed catchment towards irrigation agriculture. J Hydrol 409:663–681CrossRef Pérez AJ, Abraháo R, Causapé J, Cirpka OA, Bürger CM (2011) Simulating the transition of a semi-arid rainfed catchment towards irrigation agriculture. J Hydrol 409:663–681CrossRef
go back to reference Philip JR (1957) The theory of infiltration: 6. Effect of water depth over soil. Soil Sci 85:278–286CrossRef Philip JR (1957) The theory of infiltration: 6. Effect of water depth over soil. Soil Sci 85:278–286CrossRef
go back to reference Pichot G, Erhel J, de Dreuzy JR (2010) A mixed hybrid mortar method for solving flow in discrete fracture networks. Appl Anal 89(10):1629–1643CrossRef Pichot G, Erhel J, de Dreuzy JR (2010) A mixed hybrid mortar method for solving flow in discrete fracture networks. Appl Anal 89(10):1629–1643CrossRef
go back to reference Priesack E, Gayler S, Hartmann HP (2006) The impact of crop growth sub-model choice on the simulation of water and nitrogen balances. Nutr Cycl Agroecosys 75:1–13CrossRef Priesack E, Gayler S, Hartmann HP (2006) The impact of crop growth sub-model choice on the simulation of water and nitrogen balances. Nutr Cycl Agroecosys 75:1–13CrossRef
go back to reference Quarteroni A, Valli A (2008) Numerical approximation of partial differential equations. Springer, Berlin Quarteroni A, Valli A (2008) Numerical approximation of partial differential equations. Springer, Berlin
go back to reference Richter S, Völker J, Borchardt D, Mohaupt V (2013) Integrated water resources management and implementation of the EU-water framework directive: lessons learnt and future perspectives from the experience in Germany. Environ. Earth Sci. 69(2) Richter S, Völker J, Borchardt D, Mohaupt V (2013) Integrated water resources management and implementation of the EU-water framework directive: lessons learnt and future perspectives from the experience in Germany. Environ. Earth Sci. 69(2)
go back to reference Rügner H, Schwientek M, Beckingham B, Kuch B, Grathwohl P (2013) Turbidity as a proxy for total suspended solids (TSS) and particle facilitated pollutant transport in catchments. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2307-1 Rügner H, Schwientek M, Beckingham B, Kuch B, Grathwohl P (2013) Turbidity as a proxy for total suspended solids (TSS) and particle facilitated pollutant transport in catchments. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2307-1
go back to reference Schulz S, Siebert C, TTR, Al-Raggad MM, Merz R (2013) Application of the water balance model J2000 to estimate groundwater recharge in a semi-arid environment—a case study in the Zarqa River catchment, NW-Jordan. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2342-y Schulz S, Siebert C, TTR, Al-Raggad MM, Merz R (2013) Application of the water balance model J2000 to estimate groundwater recharge in a semi-arid environment—a case study in the Zarqa River catchment, NW-Jordan. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2342-y
go back to reference Schwientek M, Osenbrück K, Fleischer M (2013) Investigating hydrological drivers of nitrate export dynamics in two agricultural catchments in Germany using high-frequency data series. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2322-2 Schwientek M, Osenbrück K, Fleischer M (2013) Investigating hydrological drivers of nitrate export dynamics in two agricultural catchments in Germany using high-frequency data series. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2322-2
go back to reference Sebben ML, Werner AD, Liggett JE, Partington D, Simmons CT (2012) On the testing of fully integrated, surface-subsurface hydrological models. Hydrol Process. doi:10.1002/hyp.9630 Sebben ML, Werner AD, Liggett JE, Partington D, Simmons CT (2012) On the testing of fully integrated, surface-subsurface hydrological models. Hydrol Process. doi:10.​1002/​hyp.​9630
go back to reference Shen CP, Phanikumar MS (2010) A process-based distributed model based on a large-scale method for surface-subsurface coupling. Adv Water Resour 33(12):1524–1541CrossRef Shen CP, Phanikumar MS (2010) A process-based distributed model based on a large-scale method for surface-subsurface coupling. Adv Water Resour 33(12):1524–1541CrossRef
go back to reference Singh AK, Delfs J-O, Görke U-J, Kolditz O (2013) Towards physical aspects affecting a possible leakage of geologically stored CO2 into the shallow subsurface. Acta Geotechn. doi:10.1007/s11440-013-0237-4 Singh AK, Delfs J-O, Görke U-J, Kolditz O (2013) Towards physical aspects affecting a possible leakage of geologically stored CO2 into the shallow subsurface. Acta Geotechn. doi:10.​1007/​s11440-013-0237-4
go back to reference Singh AK, Görke U-J, Kolditz O (2011) Numerical simulation of non-isothermal compositional gas flow: application to CO2 injection into gas reservoirs. Energ Effi 36:3446–3458CrossRef Singh AK, Görke U-J, Kolditz O (2011) Numerical simulation of non-isothermal compositional gas flow: application to CO2 injection into gas reservoirs. Energ Effi 36:3446–3458CrossRef
go back to reference Singh V, Bhallamudi SM (1998) Conjunctive surface-subsurface modeling of overland flow. Adv Water Resour 21(7):567–579CrossRef Singh V, Bhallamudi SM (1998) Conjunctive surface-subsurface modeling of overland flow. Adv Water Resour 21(7):567–579CrossRef
go back to reference Smith RE, Woolhiser DA (1971) Overland flow on an infiltrating surface. Water Resour Res 7(4):899–913CrossRef Smith RE, Woolhiser DA (1971) Overland flow on an infiltrating surface. Water Resour Res 7(4):899–913CrossRef
go back to reference Sophocleus M (2002) Interactions between groundwater and surface water: the state of the science. J Hydrol 10(1):52–67 Sophocleus M (2002) Interactions between groundwater and surface water: the state of the science. J Hydrol 10(1):52–67
go back to reference Stonedahl SH, Harvey JW, Wörman A, Salehin M, Packman AJ (2010) A multiscale model for integrating hyporheic exchange from ripples to meanders. Water Resour Res 46:W12539. doi:10.1029/2009WR008865 CrossRef Stonedahl SH, Harvey JW, Wörman A, Salehin M, Packman AJ (2010) A multiscale model for integrating hyporheic exchange from ripples to meanders. Water Resour Res 46:W12539. doi:10.​1029/​2009WR008865 CrossRef
go back to reference Strasser U, Marke T, Sass O, Birk S, Winkler G (2013) ’Johns Creek Valley’—a mountainous catchment for long-term interdisciplinary human-environment system research in Upper Styria (Austria). Environ Earth Sci 69(2). doi:10.1007/s12665-013-2318-y Strasser U, Marke T, Sass O, Birk S, Winkler G (2013) ’Johns Creek Valley’—a mountainous catchment for long-term interdisciplinary human-environment system research in Upper Styria (Austria). Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2318-y
go back to reference Streck T, Richter J (1997) Heavy metal displacement in a sandy soil at the field scale: II. Modeling. J. Environ. Qual. 26(1):56–62 Streck T, Richter J (1997) Heavy metal displacement in a sandy soil at the field scale: II. Modeling. J. Environ. Qual. 26(1):56–62
go back to reference Sulis M, Meyerhoff SB, Paniconi C, Maxwell RM, Putti M, Kollet SJ (2010) A comparison of two physics-based numerical models for simulating surface water-groundwater interactions. Adv Water Resour 33:456–467CrossRef Sulis M, Meyerhoff SB, Paniconi C, Maxwell RM, Putti M, Kollet SJ (2010) A comparison of two physics-based numerical models for simulating surface water-groundwater interactions. Adv Water Resour 33:456–467CrossRef
go back to reference Therrien R, McLaren RG, Sudicky EA, Panday SM (2004) Hydrosphere, a three-dimensional numerical model describing fully-integrated subsurface and surface flow and solute transport. Tech. rep., Université Laval and University of Waterloo, Canada Therrien R, McLaren RG, Sudicky EA, Panday SM (2004) Hydrosphere, a three-dimensional numerical model describing fully-integrated subsurface and surface flow and solute transport. Tech. rep., Université Laval and University of Waterloo, Canada
go back to reference Trauth N, Schmidt C, Maier U, Vieweg M, Fleckenstein J (2013) Coupled 3D model of turbulent stream flow and hyporheic flow under varying stream and ambient groundwater flow conditions. Water Resour Res (under revision) Trauth N, Schmidt C, Maier U, Vieweg M, Fleckenstein J (2013) Coupled 3D model of turbulent stream flow and hyporheic flow under varying stream and ambient groundwater flow conditions. Water Resour Res (under revision)
go back to reference van der Kwaak JE, Loague K (2001) Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model. Water Resour Res 37(4):999–1013CrossRef van der Kwaak JE, Loague K (2001) Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model. Water Resour Res 37(4):999–1013CrossRef
go back to reference van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44:892–898CrossRef van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44:892–898CrossRef
go back to reference van Genuchten MT, Wierenga PJ (1976) Mass transfer studies in sorbing porous media I. Analytical solutions. Soil Sci Soc Am J 40:473–480CrossRef van Genuchten MT, Wierenga PJ (1976) Mass transfer studies in sorbing porous media I. Analytical solutions. Soil Sci Soc Am J 40:473–480CrossRef
go back to reference Vogel H-J, Ippisch O (2008) Estimation of a critical spatial discretization limit for solving Richards’ equation at large scales. Vadose Zone J 7(1):112–114CrossRef Vogel H-J, Ippisch O (2008) Estimation of a critical spatial discretization limit for solving Richards’ equation at large scales. Vadose Zone J 7(1):112–114CrossRef
go back to reference Walther M, Delfs J-O, Grundmann J, Kolditz O, Liedl R (2012) Saltwater intrusion modeling: verification and application to an agricultural coastal arid region in Oman. J Comput Appl Math 236(18):4798–4809CrossRef Walther M, Delfs J-O, Grundmann J, Kolditz O, Liedl R (2012) Saltwater intrusion modeling: verification and application to an agricultural coastal arid region in Oman. J Comput Appl Math 236(18):4798–4809CrossRef
go back to reference Wang W, Rutqist J, Görke U-J, Birkholzer JT, Kolditz O (2012) Non-isothermal flow in low permeable porous media: a comparison of unsaturated and two-phase flow approaches. Environ Earth Sci 62(6):1197–1207CrossRef Wang W, Rutqist J, Görke U-J, Birkholzer JT, Kolditz O (2012) Non-isothermal flow in low permeable porous media: a comparison of unsaturated and two-phase flow approaches. Environ Earth Sci 62(6):1197–1207CrossRef
go back to reference Wang W, Schnicke T, Kolditz O (2011) Parallel finite element method and time stepping control for non-isothermal poro-elastic problems. Comput Math Contin 21(3):217–235 Wang W, Schnicke T, Kolditz O (2011) Parallel finite element method and time stepping control for non-isothermal poro-elastic problems. Comput Math Contin 21(3):217–235
go back to reference Wang Z, Feyen J, Nielsen DR, van Genuchten MT (1997) Two-phase flow infiltration equations accounting for air entrapment effects. Water Resour Res 33(12):2759–2767CrossRef Wang Z, Feyen J, Nielsen DR, van Genuchten MT (1997) Two-phase flow infiltration equations accounting for air entrapment effects. Water Resour Res 33(12):2759–2767CrossRef
go back to reference Wang Z, Feyen J, van Genuchten MT, Nielsen DR (1998) Air entrapment effects on infiltration rate and flow instability. Water Resour Res 34(2):213–222CrossRef Wang Z, Feyen J, van Genuchten MT, Nielsen DR (1998) Air entrapment effects on infiltration rate and flow instability. Water Resour Res 34(2):213–222CrossRef
go back to reference Warrick AW (2003) Soil water dynamics. Oxford University Press Inc, New York Warrick AW (2003) Soil water dynamics. Oxford University Press Inc, New York
go back to reference Watanabe N, McDermott C, Wang W, Taniguchi T, Kolditz O (2010) Uncertainty analysis of thermo-hydro-mechanical processes in heterogeneous porous media. Comput Mech 45(4):263–280CrossRef Watanabe N, McDermott C, Wang W, Taniguchi T, Kolditz O (2010) Uncertainty analysis of thermo-hydro-mechanical processes in heterogeneous porous media. Comput Mech 45(4):263–280CrossRef
go back to reference Weiler M, Naef F (2003) Simulating surface and subsurface initiation of macropore flow. J Hydrol 273:139–154CrossRef Weiler M, Naef F (2003) Simulating surface and subsurface initiation of macropore flow. J Hydrol 273:139–154CrossRef
go back to reference Wöhling T, Samaniego L, Kumar R (2013) Evaluating multiple performance criteria to calibrate the distributed hydrological model of the Upper Neckar Catchment. Environ Earth Sci 69(2). doi:10.1007/s12665-013-2306-2 Wöhling T, Samaniego L, Kumar R (2013) Evaluating multiple performance criteria to calibrate the distributed hydrological model of the Upper Neckar Catchment. Environ Earth Sci 69(2). doi:10.​1007/​s12665-013-2306-2
Metadata
Title
A coupled surface/subsurface flow model accounting for air entrapment and air pressure counterflow
Authors
Jens-Olaf Delfs
Wenqing Wang
Thomas Kalbacher
Ashok Kumar Singh
Olaf Kolditz
Publication date
01-05-2013
Publisher
Springer-Verlag
Published in
Environmental Earth Sciences / Issue 2/2013
Print ISSN: 1866-6280
Electronic ISSN: 1866-6299
DOI
https://doi.org/10.1007/s12665-013-2420-1

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