Differential frost heave model for patterned ground formation: Corroboration with observations along a North American arctic transect

Journal of Geophysical Research: Biogeosciences

Volumn 113, Issue 3, 2008, Pages

  Peterson, R A ^b   Krantz, W B ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b University of Alaska Fairbanks   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACIDIFICATION; ARCTIC ENVIRONMENT; ENVIRONMENTAL MODELING; FREEZING; FROST HEAVE; NUMERICAL MODEL; VEGETATION TYPE;

ARCTIC; NORTH AMERICA;

EID: 69549122465     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007JG000559     Document Type: Article

References (44)

1. Andersland, O. B., and B. Ladanyi (2004), Frozen Ground Engineering, 2nd ed., 363 pp., John Wiley, Hoboken, N. J.
2. Ballantyne, G K. (1996), Formation of miniature sorted patterns by shallow ground freezing: a field experiment, Permafrost Periglacial Processes, 7, 409-424, doi:10.1002/(SICI)1099-1530(199610)7:4〈409::AID-PPP230〉3. 0.CO;2-3.
3. Black, P. B. (1995), RIGIDICE model of secondary frost heave, CRREL Tech. Rep. 95-12, U.S. Army Cold Reg. Res. and Eng. Lab., Hanover, N. H.
4. Black, P. B., and R. D. Miller (1985), A Continuum Approach to Modeling Frost Heave, Am. Soc. of Civ. Eng., New York.
5. Bockheim, J. G., D. A. Walker, L. R. Everett, F. E. Nelson, and N. I. Shiklomanov (1998), Soils and cryoturbation in moist nonacidic and acidic tundra in the Kuparuk river basin, Arctic Alaska, U.S.A., Arct. Alp. Res., 30(2), 166-174, doi:10.2307/1552131. (Pubitemid 28286358)
6. Brush, D. O., and B. O. Almroth (1975), Buckling of Bars, Plates, and Shells, pp. 80-88, McGraw-Hill, New York.
7. Christopherson, D. G. (1940), Note on the vibration of membranes, Q. J. Math., os-11, 63-65, doi:10.1093/qmath/os-11.1.63.
8. 2, Phys. Rev. Lett., 92(20), 205701, doi:10.1103/PhysRevLett.92.205701.
9. Fowler, A. C. (1989), Secondary frost heaving in soils, SIAM J. Appl. Math., 49, 991-1008, doi:10.1137/0149060.
10. Fowler, A. C. (2003), A Mathematical Model for Differential Frost Heave, Proc. Int. Conf Permafrost, vol.1, edited by M. Philips, S. M. Springman, and L. Arenson, pp. 249-252, A. A. Balkema, Lisse, Netherlands.
11. Fowler, A. C., and W. B. Krantz (1994), A generalized secondary frost heave model, SIAM J. Appl. Math., 54(6), 1650-1675, doi:10.1137/ S0036139993252554.
12. Fowler, A. C., and C. G. Noon (1993), A simplified numerical solution of the Miller model of secondary frost heave, Cold Reg. Sci.. Technol., 21(4), 327-336, doi:10.1016/0165-232X(93)90010-6. (Pubitemid 24395848)
13. Gilpin, R. R. (1979), A model of the "liquid-like" layer between ice and a substrate with applications to wire relelation and particle migration, J. Colloid Interface Sci., 68, 235-251, doi: 10.1016/0021-9797(79) 90277-7.
14. Hallet, B., and S. Prestrud (1986), Dynamics of periglacial sorted circles in western Spitsbergen, Quat. Res., 26(1), 81-99, doi:10.1016/0033- 5894(86)90085-2. (Pubitemid 17266172)
15. Hallet, B., and E. G Waddington (1992), Buoyancy forces induced by freeze-thaw in the active layer implications for diapirism and soil circulation, in Periglacial Geomorphology, edited by J. C. Dixon and A. D. Abrahams, pp. 251-279, John Wiley, Chichester, U.K. (Pubitemid 23378141)
16. Harris, C., M. C. R. Davies, and B. R. Rea (2003), Gelifluction: Viscous flow or plastic creep?, Earth Surf. Processes Landforms, 25(12), 1289-1301, doi:10.1002/esp.543.
17. Kade, A., and D. A. Walker (2008), Experimental alteration of vegetation on nonsorted circles: Effects on cryogenic activity and implications for climate change in the Arctic, Arct. Antarct. Alpine Res., 40(1), 96-103, doi:10.1657/1523-0430(06-029)[KADE]2.0.CO;2. (Pubitemid 351213810)
18. Kade, A., V. E. Romanovsky, and D. A. Walker (2006), The n-factor of nonsorted circles along a climate gradient in Arctic Alaska, Permafrost Periglacial Processes, 17, 279-289, doi:10.1002/ppp.563. (Pubitemid 44941628)
19. Kessler, M. A., A. B. Murray, B. T. Werner, and B. Hallet (2001), A model for sorted circles as self-organized patterns, J. Geophys. Res., 106(B7), 13,287-13,306, doi:10.1029/2001JB000279.
20. Klene, A. E., F. E. Nelson, N. I. Shiklomanov, and K. M. Hinkel (2001), The n-factor in natural landscapes: variability of air and soil-surface temperatures, Kuparuk River Basin, Alaska, USA, Arct. Antarct. Alp. Res., 33, 140-148, doi:10.2307/1552214.
21. Kokelj, S. V., C. R. Burn, and C. Tamocai (2007), The structure and dynamics of earth hummocks in the Subarctic forest near Inuvik, Northwest Territories, Canada, Arct. Antarct. Alp. Res., 39, 99-109, doi:10.1657/1523- 0430(2007)39[99:TSADOE]2.0.CO;2.
22. Krantz, W. B. (1990), Self-organization manifest as patterned ground in recurrently frozen soils, Earth Sci. Rev., 29, 117-130.
23. Krantz, W. B., and K. E. Adams (1996), Validation of a fully predictive model for secondary frost heave, Arct. Alp. Res., 28, 284-293, doi:10.2307/1552107. (Pubitemid 126833563)
24. Lachenbruch, A. J. (1961), Depth and spacing of tension cracks, J. Geophys. Res., 66, 4273-4292, doi:10.1029/JZ066i012p04273.
25. Mackay, J. R. (1980), The origin of hummocks, western Arctic coast, Canada, Can. J. Earth Sci., 17, 996-1006.
26. Michaelson, G. J., C. L. Ping, and J. M. Kimble (1996), Carbon storage and distribution in tundra soils of Arctic Alaska, USA, Arct. Alp. Res., 28(4), 414-424, doi:10.2307/1551852. (Pubitemid 126837866)
27. Nicolsky, D. J., V. E. Romanovsky, G. S. Tipenko, and D. A. Walker (2008), Modeling biogeophysical interactions in nonsorted circles in the low Arctic, J. Geophys. Res., doi: 10.1029/2007JG000565, in press.
28. O'Neill, K., and R. D. Miller (1985), Exploration of a rigid ice model of frost heave, Water Resour. Res., 21, 281-296, doi:10.1029/WR02H003p00281. (Pubitemid 16259300)
29. Peterson, R. A., and W. B. Krantz (2003), A mechanism for differential frost heave and its implications for patterned ground formation, J. Glaciol., 49, 69-80, doi:10.3189/172756503781830854. (Pubitemid 37525528)
30. Ray, R. J., W. B. Krantz, T. N. Caine, and R. G. Gunn (1983), A model for sorted patterned ground regularity, J. Glaciol., 29, 317-337.
31. Rempel, A. W. (2007), The formation of ice lenses and frost heave, J. Geophys. Res., 112, F02S21, doi:10.1029/2006JF000525.
32. Rempel, A. W., J. S. Wettlaufer, and M. G. Worster (2004), Premelting dynamics in a continuum model of frost heave, J. Fluid Mech., 498, 227-244, doi:10.1017/S0022112003006761. (Pubitemid 38237398)
33. Shur, Y., and C. L. Ping (2003), The driving force of frost boils and hummocks formation, Eos Trans. AGU, 84(46), Fall Meet. Suppl., Abstract C21B-0823.
34. Sletten, R. S., B. Hallet, and R. C. Fletcher (2003), Resurfacing time of terrestrial surfaces by the formation and maturation of polygonal patterned ground, J. Geophys. Res., 108(E4), 8044, doi:10.1029/2002JE001914.
35. Squire, H. B. (1933), On the stability of three-dimensional disturbances of viscous flow between parallel walls, Proc. R. Soc. London, Ser. A, 142, 621-628, doi:10.1098/rspa.1933.0193.
36. Tystovich, N. A. (1975), The Mechanics of Frozen Ground, 426 pp., McGraw-Hill, New York.
37. Vignes-Adler, M. (1977), On the origin of the water aspiration in a freezing dispersed medium, J. Colloid Interface Sci., 60, 162-171, doi:10.1016/0021-9797(77)90267-3.
38. Walker, D. A., et al. (1998), Energy and trace-gas fluxes across a soil pH boundary in the arctic, Nature, 394(6692), 469-472, doi:10.1038/28839.
39. Walker, D. A., et al. (2008), Arctic-patterned-ground ecosystem: A synthesis of studies along a North American Arctic Transect, J. Geophys. Res., doi:10.1029/2007JG000504, in press.
40. Washburn, A. L. (1956), Classification of patterned ground and review of suggested origins, Geol. Soc. Am. Bull., 67, 823-865, doi:10.1130/0016- 7606(1956)67[823:COPGAR]2.0.CO;2.
41. Weinberger, R. (1999), Initiation and growth of cracks during desiccation of stratified muddy sediments, J. Struct. Geol., 21, 379-386, doi:10.1016/S0191-8141(99)00029-2.
42. Wettlaufer, J. S., and M. G. Worster (2006), Premelting dynamics, Annu. Rev. Fluid Mech., 38, 427-452, doi:10.1146/annurev.fluid.37.061903.175758.
43. Wettlaufer, J. S., M. G. Worster, L. A. Wilen, and J. G. Dash (1996), A theory of premelting dynamics for all Spower law forces, Phys. Rev. Lett., 76(19), 3602-3605, doi:10.1103/PhysRevLett.76.3602.
44. Yuanlin, Z., and D. L. Carbee (1987), Tensile strength of frozen silt, CRREL Rep. 87-15, U.S. Army Cold Reg. Res. and Eng. Lab., Hanover, N. H.