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

Environmental Earth Sciences

Volumn 69, Issue 2, 2013, Pages 395-414

  Delfs, Jens Olaf ^a,b   Wang, Wenqing ^b   Kalbacher, Thomas ^b   Singh, Ashok Kumar ^b   Kolditz, Olaf ^b,c  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b HELMHOLTZ CENTRE FOR ENVIRONMENTAL RESEARCH UFZ   (Germany)

^c DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Coupled flow; Horton runoff; Leakance; OpenGeoSys (OGS); Soil gas release; Two phase flow

Indexed keywords

ATMOSPHERIC PRESSURE; BENCHMARKING; ITERATIVE METHODS; MASS TRANSFER; POROUS MATERIALS; RUNOFF; SOIL MOISTURE; STABILITY CRITERIA; STATISTICAL TESTS;

COUPLED FLOW; FEEDBACK MECHANISMS; INFILTRATION EXCESS; ITERATIVE COUPLING; LEAKANCE; OPENGEOSYS (OGS); SHALLOW SUBSURFACE; SOIL GAS;

TWO PHASE FLOW;

ALGORITHM; FLOW MODELING; HYDROSTATICS; MASS TRANSFER; NUMERICAL MODEL; POROUS MEDIUM; SIMULATION; SUBSURFACE FLOW;

EID: 84876945570     PISSN: 18666280     EISSN: 18666299     Source Type: Journal    
DOI: 10.1007/s12665-013-2420-1     Document Type: Article

References (102)

1. Abdul AS, Gillham RW (1989) Field studies of the effects of the capillary fringe on streamflow generation. J Hydrol 112: 1-18.
2. 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.
3. 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.
4. Bear J (1988) Dynamics of fluids in porous media, 2nd edn. Dover Publications Inc, New York.
5. 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: 274-283.
6. Beyer C, Bauer S, Kolditz O (2006) Uncertainty assessment of contaminant plume length estimates in heterogeneous aquifers. J Contam Hydrol 87: 73-95.
7. Bhallamudi SM, Panday S, Huyakorn PS (2003) Sub-timing in fluid flow and transport simulations. Adv Water Resour 26(5): 477-489.
8. Blumensaat F, Wolfram M, Krebs P (2012) Sewer model development under minimum data requirements. Environ Earth Sci. 65(5). doi: 10. 1007/s12665-011-1146-1.
9. Bogacz P, Kaczmarek J, Leśniewska D (2006) Influence of air entrapment on flood embarkment failure mechanis-model tests. Technol Sci 11: 188-201.
10. 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.
11. 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).
12. 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): 651-659.
13. 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.
14. 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: 397-405.
15. Culligan PJ, Barry DA, Parlange J-Y, Steenhuis TS, Haverkamp R (2000) Infiltration with controlled air escape. Water Resour Res 36(3): 781-785.
16. Delfs J-O, Park C-H, Kolditz O (2009) A sensitivity analysis of Hortonian flow. Adv Water Resour 32(9): 1386-1395.
17. 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: 1439-1457.
18. 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.
19. Discacciati M, Quarteroni A (2009) Navier-Stokes/Darcy coupling: modeling, analysis and numerical approximation. Rev Math Comput 22(2): 315-426.
20. 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.
21. 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: 1949-1959.
22. 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).
23. 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).
24. 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.
25. 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): 211-234.
26. 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): 1291-1295.
27. 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.
28. Forsyth PA, Simpson RB (1991) A two phase, two component model for natural convection in a porous medium. Int J Numer Method Fluids 12: 655-682.
29. 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): 383-393.
30. Furman A (2008) Modeling coupled surface-subsurface flow processes: a review. Vadose Zone J 7: 741-756.
31. 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.
32. 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): 89-102.
33. 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: 305-319.
34. 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.
35. Gottardi G, Venutelli M (1993) A control-volume finite-element model for two-dimensional overland flow. J Hydrol 16: 277-284.
36. Govindaraju RS, Kavvas ML (1991) Dynamics of moving boundary overland flows over infiltrating surfaces at hillslopes. Water Resour Res 27(8): 1885-1898.
37. 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.
38. 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.
39. Hantush MS (1965) Wells near streams with semi-pervious beds. J Geophys Res 70(2): 2829-2838.
40. 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.
41. Helmig R (1997) Multiphase flow and transport processes in the subsurface. Springer, Berlin.
42. 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.
43. Hunt B (1999) Unsteady stream depletion from groundwater pumping. Groundwater 37(1): 98-102.
44. 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): 345-355.
45. 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.
46. Jones JAA (1994) Soil piping and its hydrogeomorphic function. Cuaternario y Geomorfologia 8(3-4): 77-102.
47. 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.
48. 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.
49. 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.
50. 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.
51. 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): 945-958.
52. 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.
53. 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.
54. Kunkel R, Rink K, Kolditz O (2013) TEODOOR - TERENO data management system for contrasting catchments. Environ. Earth Sci. 69(2). doi: 10. 1007/s12665-013-2370-7.
55. 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.
56. 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: 503-515.
57. 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.
58. 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.
59. Morita M, Yen BC (2002) Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows. J Hydraul Eng 128(2): 184-200.
60. 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.
61. Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12: 513-522.
62. 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.
63. Panday S, Huyakorn PS (2004) A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow. Adv Water Resour 27: 361-382.
64. Park C-H, Böttcher N, Wang W, Kolditz O (2011) Are upwind techniques in multi-phase flow models necessary?. J Comput Phys 230(22): 8304-8312.
65. 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: 886-898.
66. 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: 663-681.
67. Philip JR (1957) The theory of infiltration: 6. Effect of water depth over soil. Soil Sci 85: 278-286.
68. Pichot G, Erhel J, de Dreuzy JR (2010) A mixed hybrid mortar method for solving flow in discrete fracture networks. Appl Anal 89(10): 1629-1643.
69. 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: 1-13.
70. Qu Y, Duffy CJ (2007) A semidiscrete finite volume formulation for multiprocess watershed simulation. Water Resour Res 43: W08419. doi: 10. 1029/2006WR005752.
71. Quarteroni A, Valli A (2008) Numerical approximation of partial differential equations. Springer, Berlin.
72. 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).
73. Rink K, Fischer T, Selle B, Kolditz O (2013) A data exploration framework for validation and setup of hydrological models. Environ Earth Sci 69(2). doi: 10. 1007/s12665-012-2030-3.
74. 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.
75. 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.
76. 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.
77. 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.
78. 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): 1524-1541.
79. 2 into the shallow subsurface. Acta Geotechn. doi: 10. 1007/s11440-013-0237-4.
80. 2 injection into gas reservoirs. Energ Effi 36: 3446-3458.
81. Singh V, Bhallamudi SM (1998) Conjunctive surface-subsurface modeling of overland flow. Adv Water Resour 21(7): 567-579.
82. Smith RE, Woolhiser DA (1971) Overland flow on an infiltrating surface. Water Resour Res 7(4): 899-913.
83. Sophocleus M (2002) Interactions between groundwater and surface water: the state of the science. J Hydrol 10(1): 52-67.
84. 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.
85. 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.
86. 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.
87. 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: 456-467.
88. 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.
89. 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).
90. 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): 999-1013.
91. van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soil. Soil Sci Soc Am J 44: 892-898.
92. van Genuchten MT, Wierenga PJ (1976) Mass transfer studies in sorbing porous media I. Analytical solutions. Soil Sci Soc Am J 40: 473-480.
93. 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): 112-114.
94. 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): 4798-4809.
95. 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): 1197-1207.
96. 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.
97. 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): 2759-2767.
98. Wang Z, Feyen J, van Genuchten MT, Nielsen DR (1998) Air entrapment effects on infiltration rate and flow instability. Water Resour Res 34(2): 213-222.
99. Warrick AW (2003) Soil water dynamics. Oxford University Press Inc, New York.
100. 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): 263-280.
101. Weiler M, Naef F (2003) Simulating surface and subsurface initiation of macropore flow. J Hydrol 273: 139-154.
102. 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.