Groundwater flow with energy transport and water-ice phase change: Numerical simulations, benchmarks, and application to freezing in peat bogs

Advances in Water Resources

Volumn 30, Issue 4, 2007, Pages 966-983

  McKenzie, Jeffrey M ^a   Voss, Clifford I ^b   Siegel, Donald I ^c  

^a MCGILL UNIVERSITY   (Canada)

^b U S GEOLOGICAL SURVEY   (United States)

^c SYRACUSE UNIVERSITY   (United States)

Author keywords

Benchmark; Cold regions; Energy transport; Freezing; Groundwater; Modelling; Peat

Indexed keywords

BENCHMARKING; COMPUTER SIMULATION; ENERGY TRANSFER; FREEZING; HEAT TRANSFER; ICE; MELTING; POROUS MATERIALS; THERMAL CONDUCTIVITY;

ICE FORMATION; ICE-WATER ZONE;

GROUNDWATER FLOW;

BENCHMARKING; COMPUTER SIMULATION; ENERGY TRANSFER; FREEZING; GROUNDWATER FLOW; HEAT TRANSFER; ICE; MELTING; POROUS MATERIALS; THERMAL CONDUCTIVITY;

ENERGY FLUX; FREEZING; GROUNDWATER FLOW; MODELING; PEATLAND; POREWATER; POROUS MEDIUM; SUBSURFACE FLOW; VERTICAL PROFILE;

MINNESOTA; NORTH AMERICA; RED LAKE COUNTY; UNITED STATES;

EID: 33847045892     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2006.08.008     Document Type: Article

References (47)

1. Cary J.W., and Mayland H.F. Salt and water movement in unsaturated frozen soil. Soil Sci Soc Am Proc 36 (1972) 549-555
2. Fuchs M., Campbell G.S., and Pependick R.I. An analysis of sensible and latent heat flow in a partially unsaturated soil. Soil Sci Soc Am J 42 (1978) 379-385
3. Harlan R.L. Analysis of coupled heat-fluid transport in partially frozen soil. Water Res Res 9 (1973) 1314-1323
4. Serreze M.C., Walsh J.E., Chapin III F.S., Osterkamp T., Dyurgerov M., Romanovsky V., et al. Observational evidence of recent change in the northern high-latitude environment. Climatic Change 46 (2000) 159-207
5. Smith L.C., Sheng Y., MacDonald G.M., and Hinzman L.D. Disappearing arctic lakes. Science 308 (2005) 1429
6. McKenzie JM, Siegel DI, Rosenberry DO, Glaser PH, Voss CI. Heat transport in the Red Lake Bog, Glacial Lake Agassiz Peatlands. Hydrol Proc, in press, doi:10.1002/hyp6239.
7. Hunt R.J., Krabbenhoft D.P., and Anderson M.P. Groundwater inflow measurements in wetland systems. Water Res Res 32 (1996) 495-507
8. Woo M.-K., and Marsh P. Snow, frozen soils and permafrost hydrology in Canada, 1999-2002. Hydrol Process 19 (2005) 215-229
9. Romanovsky V.E., and Osterkamp T.E. Effects of unfrozen water on heat and mass transport processes in the active layer and permafrost. Permafrost Periglac 11 (2000) 219-239
10. Kane D.L., Hinkel K.M., Goering D.J., Hinzman L.D., and Outcalt S.I. Non-conductive heat transfer associated with frozen soils. Global Planet Change 29 (2001) 275-292
11. Grant S.A., and Iskandar I.K. Contaminant hydrology : cold regions modeling (2000), Lewis Publishers, Boca Raton
12. Narasimhan T.N. Fourier's heat conduction equation; history, influence, and connections. Rev Geophys 37 (1999) 151-172
13. Deming D., Sass J.H., Lachenbruch A.H., and De Rito R.F. Heat flow and subsurface temperature as evidence for basin-scale ground-water flow, North Slope of Alaska. Geol Soc Am Bull 104 (1992) 528-542
14. Farouki O. Thermal properties of soils. Clausthal-Zellerfeld Germany: Trans Tech, 1986.
15. Williams P.J., and Smith M.W. The frozen earth; fundamentals of geocryology (1989), Cambridge University Press, Cambridge, UK
16. Lundin L.-C. Hydraulic properties in an operational model of frozen soil. J Hydrol 118 (1990) 289-310
17. Hwang C.T., Murray D.W., and Brooker E.W. A thermal analysis for structures on permafrost. Canad Geotech J 9 (1972) 33-46
18. Hansson K., Simunek J., Mizoguchi M., Lundin L.-C., and Genuchten M.Tv. Water flow and heat transport in frozen soil. Nume Sol Freeze-Thaw Appl Vadose Zone J 3 (2004) 693-704
19. Simunek J, Sejna M, van Genuchten MT. The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media; Version 2.0, U.S. Salinity Laboratory, U.S. Department of Agriculture, 1998.
20. Ippisch O. Coupled transport in natural porous media. Combined faculties forthe natural sciences and for mathematics (2001), Rupertus Carola University, Heidelberg, Germany 123
21. Mottaghy D., and Rath V. Implementation of permafrost development in a finite difference heat transport code. (2005)
22. Clauser C. SHEMAT: A simulator for mass and heat transport (2003), Springer
23. White MD, Oostrom M. STOMP; Subsurface transport over multiple phases; Version 2.0; Theory Guide, Pacific Northwest National Laboratory, 2000.
24. Jansson P.-E., and Karlberg L. Coupled heat and mass transfer model for soil-plant-atmosphere systems (2004), Royal Institute of Technolgy, Department of Civil and Environmental Engineering, Stockholm
25. Flerchinger GN. The simultaneous heat and water (SHAW) Model: Technical Documentation; Technical Report NWRC 2000-09. Boise, Idaho: Northwest Watershed Research Center; USDA Agricultural Research Service, 2000.
26. Krahn J. Thermal modeling with TEMP/W; an engineering methodology (2004), GEO-SLOPE International, Ltd., Calgary, Canada
27. Voss CI, Provost AM. SUTRA; A model for saturated-unsaturated, variable-density ground-water flow with solute or energy transport, Water-Resources Investigations Report 02-4231, 2002.
28. Lunardini V.J. Freezing of soil with phase change occurring over a finite temperature difference. Proceedings of the 4th international offshore mechanics and arctic engineering symposium (1985), ASM
29. Voss CI. A finite-element simulation model for saturated-unsaturated, fluid-density-dependent ground-water flow with energy transport or chemically-reactive single-species solute transport. Water-Resources Investigations Report 84-4369, U.S. Dept. of the Interior Geological Survey ;, 1984.
30. Goodrich LE. An introductory review of numerical methods for ground thermal regime calculations; 1061, National Research Council of Canada Division of Building Research, 1982.
31. Lunardini V.J. Freezing of soil with an unfrozen water content and variable thermal properties (1988), U.S. Army Corps of Engineers Cold Regions Research and Engineering Laboratory, Hanover, NH
32. Jame Y.-W., and Norum D.I. Heat and mass transfer in a freezing unsaturated porous medium. Water Res Res 16 (1980) 811-819
33. Bittelli M., Flury M., and Campbell G.S. A thermodielectric analyzer to measure the freezing and moisture characteristic of porous media. Water Res Res 39 (2003) 10.1029/2001WR000930
34. Koopmans R.W.R., and Miller R.D. Soil freezing and soil water characteristic curves. Proc Soil Sci Soc Am 30 (1966) 680-685
35. Spaans E.J.A., and Baker J.M. The soil freezing characteristic: its measurement and similarity to the soil moisture characteristic. Soil Sci Soc Am J 60 (1996) 13-19
36. Black P.B. Applications of the Clapeyron equation to water and ice in porous media (1995), U.S. Army Corps of Engineers Cold Regions Research and Engineering Laboratory, Hanover, NH
37. Grant S.A. Physical and chemical factors affecting contaminant hydrology in cold environments. ERDC/CRREL TR-00-21 (2000), U.S. Army Corps of Engineers Engineer Research and Development Center, Hanover, NH
38. van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44 (1980) 892-898
39. Fowler A.C., and Krantz W.B. A generalized secondary frost heave model. SIAM J Appl Math 54 (1994) 1650-1675
40. Carslaw HS, Jaeger JC. Conduction of heat in solids; 2nd Ed., 2d. Oxford,: Clarendon Press, 1959.
41. Lunardini V.J. Heat transfer with freezing and thawing (1991), Elsevier, Amsterdam, NY
42. Lunardini V.J. Heat transfer in cold climates (1981), Van Nostrand Reinhold Company, New York
43. Andersland O.B., Wiggert D.C., and Davies S.H. Frozen soil subsurface barriers; formation and ice erosion. J Contam Hydrol 23 (1996) 133-147
44. Glaser P.H., Chanton J.P., Morin P.J., Rosenberry D.O., Siegel D.I., Ruud O., et al. Surface deformation as indicators of deep ebullition fluxes in a large northern peatland. Global Biogeochem Cycles 18 (2004) 10.1029/2003GB002069
45. Siegel D.I., Reeve A.S., Glaser P.H., and Romanowicz E.A. Climate-driven flushing of pore water in peatlands. Nature 374 (1995) 531-533
46. Rosenberry D.O., Glaser P.H., Siegel D.I., and Weeks E.P. Use of hydraulic head to estimate volumetric gas content and ebullition flux in northern peatlands. Water Res Res 39 (2003) 10.1029/2002WR001377
47. Anderson M.P., and Woessner W.W. Applied groundwater modeling; simulation of flow and advective transport (1992), Academic Press, San Diego, CA