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Hydrogeology Journal

Erschienen in:

01.02.2010 | Paper

Three-dimensional benchmark for variable-density flow and transport simulation: matching semi-analytic stability modes for steady unstable convection in an inclined porous box

verfasst von: Clifford I. Voss, Craig T. Simmons, Neville I. Robinson

Erschienen in: Hydrogeology Journal | Ausgabe 1/2010

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Abstract

This benchmark for three-dimensional (3D) numerical simulators of variable-density groundwater flow and solute or energy transport consists of matching simulation results with the semi-analytical solution for the transition from one steady-state convective mode to another in a porous box. Previous experimental and analytical studies of natural convective flow in an inclined porous layer have shown that there are a variety of convective modes possible depending on system parameters, geometry and inclination. In particular, there is a well-defined transition from the helicoidal mode consisting of downslope longitudinal rolls superimposed upon an upslope unicellular roll to a mode consisting of purely an upslope unicellular roll. Three-dimensional benchmarks for variable-density simulators are currently (2009) lacking and comparison of simulation results with this transition locus provides an unambiguous means to test the ability of such simulators to represent steady-state unstable 3D variable-density physics.

Vorheriger Artikel Preface: Saltwater and freshwater interactions in coastal aquifers

Nächster Artikel Effect of hypersaline cooling canals on aquifer salinization

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Ataie-Ashtiani B, Aghayi MM (2006) A note on benchmarking of numerical models for density dependent flow in porous media. Adv Water Resour 29(12):1918–1923CrossRef

Bories SA, Combarnous MA (1973) Natural convection in a sloping porous layer. J Fluid Mech 57:63–79CrossRef

Caltagirone JP (1982) Convection in a porous medium. In: Zierup J, Oertel H (eds) Convective transport and instability phenomena. Braun, Karlsruhe, Germany, pp 199–232

Caltagirone JP, Bories S (1985) Solutions and stability criteria of natural convective flow in an inclined porous layer. J Fluid Mech 155:267–287CrossRef

Diersch H-JG (2002) FEFLOW reference manual, finite element subsurface flow & transport simulation system. WASY Institute for Water Resource Planning and Systems Research, Berlin, 278 pp

Diersch H, Kolditz O (2002) Variable-density flow and transport in porous media: approaches and challenges. Adv Water Resour 25:8–12CrossRef

Elder JW (1967) Transient convection in a porous medium. J Fluid Mech 27:609–623CrossRef

Frank WL (1958) Finding zeros of arbitrary functions. J Assoc Comput Mach 5:154–160

Henry HR (1964) Effects of dispersion on salt encroachment in coastal aquifers. US Geol Surv Water Suppl Pap 1613-C:C71–C84

Holzbecher EO (1998) Modeling density-driven flow in porous media: principles, numerics, software. Springer, Heidelberg, Germany, 286 pp

Horton CW, Rogers FT Jr (1945) Convection currents in a porous medium. J Appl Phys 16:367–370CrossRef

Hsieh PA, Winston RB (2002) User′s guide to model viewer, a program for three-dimensional visualization of ground-water model results. US Geol Surv Open-File Rep 02-106, 18 pp

Johannsen K, Kinzelbach W, Oswald SE, Wittum G (2002) Numerical simulation of density driven flow in porous media. Adv Water Resour 25(3):335–348CrossRef

Johannsen K, Oswald S, Held R, Kinzelbach W (2006) Numerical simulation of three-dimensional saltwater–freshwater fingering instabilities observed in a porous medium. Adv Water Resour 29(11):1690–1704CrossRef

Kooi HJ, Groen J, Leijnse A (2000) Modes of seawater intrusion during transgressions. Water Resour Res 36(12):3581–3589CrossRef

Langevin CD, Thorne DT Jr, Dausman AM, Sukop MC, Guo Weixing (2007) SEAWAT version 4: a computer program for simulation of multi-species solute and heat transport. US Geological Survey Techniques and Methods, book 6, chap A22, US Geological Survey, Reston, VA, 39 pp

Lapwood ER (1948) Convection of a fluid in a porous medium. Proc Cambridge Phil Soc 44:508–521CrossRef

Mazzia A, Bergamaschi L, Putti M (2001) On the reliability of numerical solutions of brine transport in groundwater: analysis of infiltration from a salt lake. Transp Porous Med 43(1):65–86CrossRef

Muller DE (1956) A method for solving algebraic equations using an automatic computer. Math Tables Aids Comput 10:208–215CrossRef

NEA (1988) The international HYDROCOIN Project, level 1 code verification, Swedish Nuclear Power Inspectorate and OECD/Nuclear Energy Agency, Paris

Nield DA, Bejan A (2006) Convection in porous media. Springer, New York, 640 pp

Ormond A, Genthon P (1993) 3-D thermoconvection in an anisotropic inclined layer. Geophys J Int 1-2:257–263CrossRef

Oswald S, Kinzelbach W (2004) Three-dimensional physical benchmark experiments to test variable-density flow models. J Hydrol 290(1–2):22–42CrossRef

Oswald S, Spiegel M, Kinzelbach W (2007) Three-dimensional saltwater–freshwater fingering in porous media: contrast agent MRI as basis for numerical simulations. Magn Reson Imaging 25(4):537–540CrossRef

Prasad A, Simmons CT (2005) Using quantitative indicators to evaluate results from variable-density groundwater flow models. Hydrogeol J 13(5–6):905–914. doi:10.1007/s10040-004-0338-0 CrossRef

Segol G (1994) Classic groundwater simulations: proving and improving numerical models. Prentice Hall, Englewood Cliffs, NJ, 400 pp

Simmons CT, Narayan KA, Wooding RA (1999) On a test case for density-dependent groundwater flow and solute transport models: the salt lake problem. Water Resour Res 35(12):3607–3620CrossRef

Simpson MJ, Clement TP (2004) Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models. Water Resour Res 40(1). doi:10.1029/2003WR002199

Voss CI, Souza WR (1987) Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater–saltwater transition zone. Water Res Res 23(10):1851–1866CrossRef

Voss CI, Provost AM (2002) SUTRA, a model for saturated-unsaturated variable density ground-water flow with energy or solute transport. US Geol Surv Open-File Rep 02-4231, 250 pp

Weatherill D, Simmons CT, Voss CI, Robinson NI (2004) Testing density-dependent groundwater models: two-dimensional steady state unstable convection in infinite, finite and inclined porous layers. Adv Water Resour 27(5):547–562

Winston RB, Voss CI (2003) SutraGUI, a graphical interface for SUTRA, a model for ground-water flow with solute or energy transport. US Geol Surv Open-File Rep 03-285, 114 pp

Wooding RA, Tyler SW, White I (1997a) Convection in groundwater below an evaporating salt lake: 1. onset of instability. Water Resour Res 33(6):1199–1217CrossRef

Wooding RA, Tyler SW, White I, Anderson PA (1997b) Convection in groundwater below an evaporating salt lake: 2. evolution of fingers or plumes. Water Resour Res 33(6):1219–1228CrossRef

Titel: Three-dimensional benchmark for variable-density flow and transport simulation: matching semi-analytic stability modes for steady unstable convection in an inclined porous box
verfasst von: Clifford I. Voss
Craig T. Simmons
Neville I. Robinson
Publikationsdatum: 01.02.2010
Verlag: Springer-Verlag
Erschienen in: Hydrogeology Journal / Ausgabe 1/2010
Print ISSN: 1431-2174
Elektronische ISSN: 1435-0157
DOI: https://doi.org/10.1007/s10040-009-0556-6

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