Abstract
Sea ice dynamics deals with the way momentum is transferred through the sea ice system. The essential features of this transfer may be characterized by equations representing the following elements: 1) a momentum balance describing ice drift including air and water stresses, Coriolis force, internal ice stress, inertial forces, and ocean current effects; 2) an ice rheology which relates the ice stress to the ice deformation and strength; and 3) an ice strength determined primarily as a function of the ice thickness distribution. In discussing these components it is implicitly assumed that a description of sea ice as a two-dimensional continuum is possible. Such a continuum description does not, however, rule out using these equations to represent rapidly changing ice conditions as occur, for example, near the ice margin. This can be accomplished by allowing various quantities (e.g., ice mass, ice strength, water stress) to vary rapidly in space. Also, most present-day treatments of ice dynamics employ highly nonlinear rheologies which can, as will be demonstrated later, introduce discontinuities into the ice velocity field, even though the forcing and mass fields may be rather smooth.
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References
Ackley, S. F. (1980) Mass balance aspects of the Wed dell Sea pack ice. J Glaciol., 24: 391–405.
Ackley, S. F., A. J. Gow, K. R. Buck and K. M. Golden (1980) Sea ice studies in the Weddell Sea aboard USCGC Polar Sea. Ant J US., 15 (5): 84–86.
Andreas, E. L., C. A. Paulson, R. M. Williams, R. W. Lindsay and J. A. Businger (1979) The turbulent heat flux from arctic leads. Bound-Layer Met., 17: 57–91.
Brown, R. A. (1980) Planetary boundary layer modeling for AIDJEX. In Sea Ice Processes and Models ( R. S. Pritchard, Ed.), University of Washington Press, Seattle, Washington, p. 387–401.
Bryan, K. (1969) A numerical method for the study of the circulation of the world oceans. J Comput Physics, 4: 347–376.
Campbell, W. J. (1965) The wind-driven circulation of ice and water in a polar ocean. J Geophys Res., 70: 3279–3301.
Colony, R. and D. A. Rothrock (1980) A perspective of the time-dependent response of the AIDJEX model. In Sea Ice Processes and Models ( R. S. Pritchard, Ed.), University of Washington Press, Seattle, Washington, p. 124–133.
Coon, M. D. (1974) Mechanical behavior of compacted arctic ice floes. J Petrol Tech., 26: 466–470.
Doronin, Yu. P. (1970) On a method of calculating the compactness and drift of ice floes. Trudy Arkt. Antarkt. Nauch. Issled. Inst., 291: 5–17. (English translation, AIDJEX Bulletin, 3: 22–39, 1971.)
Egorov, K. L. (1970) Theory of drift of ice floes in a horizontally heterogeneous wind field. Probl. Arkt. Antarkt., 34: 71–78. (English translation, AIDJEX Bulletin, 6: 37–45, 1971.)
Glen, J. W. (1970) Thoughts on a viscous model for sea ice. AIDJEX Bulletin, 2: 18–27.
Gordon, A., E. Molinelli and T. Baker (1978) Large scale relative dynamic topography of the southern ocean. J Geophys Res., 83: 3023–3032.
Gow, A. J., S. F. Ackley, W. F. Weeks and J. Govoni (1982) Physical and structural characteristics of Antarctic sea ice. Ann Glaciol., 3: 113–117.
Hibler, W. D. Ill (1974) Differential sea ice drift. II: Comparison of mesoscale strain measurements to linear drift theory predictions. J Glaciol., 13: 457–471.
Hibler, W. D. Ill (1977) A viscous sea ice law as a stochastic average of plasticity. J Geophys Res., 82: 3932–3938.
Hibler, W. D. Ill (1979) A dynamic thermodynamic sea ice model. J Phys Oceanogr., 9: 815–846.
Hibler, W. D. Ill (1980a) Modeling a variable thickness sea ice cover. Mon Wea Rev., 108: 1943–1973.
Hibler, W. D. III (1980b) Documentation for a two-level dynamic thermodynamic sea ice model. U.S.A. Cold Regions Research and Engineering Laboratory Special Report 80–8, 35 p.
Hibler, W. D. Ill, S. F. Ackley, W. K. Crowder, H. W. McKim, and D. M. Anderson (1974a) Analysis of shear zone ice deformation in the Beaufort Sea using satellite imagery. In The Coast and Shelf of the Beaufort Sea (J. C. Reed and J. E. Sater, Ed. ), Arctic Institute of North America, p. 285–296.
Hibler, W. D. Ill, S. J. Mock and W. B. Tucker (1974b) Classification and variation of sea ice ridging in the western Arctic Basin. J Geophys Res., 79: 2735–2743.
Hibler, W. D. Ill and W. B. Tucker (1979) Some results from a linear viscous model of the Arctic ice cover. J Glaciol., 22: 293–304.
Hibler, W. D. Ill, I. Udin and A. Ullerstig (1981) On modeling mesoscale ice dynamics using a viscous plastic constitutive law. In POAC 81: Proceedings, Sixth International Conference on Port and Ocean Engineering Under Arctic Conditions, Laval University, Quebec City, Quebec, Canada, p. 1317–1328.
Hibler, W. D. Ill and S. F. Ackley (1982) On modeling the Weddell Sea pack ice. Ann Glaciol., 3: 125–130.
Hibler, W. D. Ill and J. E. Walsh (1982) On modeling seasonal and interannual fluctuations of Arctic sea ice. J Phys Oceanogr., 12: 1514–1523.
Hibler, W. D. Ill and S. F. Ackley (1983) Numerical simulation of the Weddell Sea pack ice. J Geophys Res., 33: 2873–2878.
Hibler, W. D. Ill, I. Udin and A. Ullerstig (1983) On forecasting mesoscale ice dynamics and buildup. Ann Glaciol., 4: 110–115.
Hibler, W. D. Ill and K. Bryan (1984) Ocean circulation: Its effects on seasonal sea-ice simulations. Science, 224: 489–492.
Hunkins, K. (1975) The oceanic boundary layer and stress beneath a drifting ice floe. J Geophys Res., 80: 3425–3433.
Idso, S. and R. D. Jackson (1969) Thermal radiation from the atmosphere. J Geophys Res., 74: 5397–5403.
Kovacs, A. (1972) On pressured sea ice. In Sea Ice: Proceedings of an International Conference. National Research Council, Reykjavik, Iceland, p. 276–295.
Kovacs, A. and M. Mellor (1974) Sea ice morphology and ice as a geologic agent in the southern Beaufort Sea. In The Coast and Shelf of the Beaufort Sea (J. L. Reed and J. E. Sater, Ed. ), Arctic Institute of North America, p. 113–161.
Laikhtman, D. L. (1964) Physics of the boundary layer of the atmosphere. (Translated by U.S. Dept. of Commerce, Washington, D.C., 200 pp.)
Leavitt, E. (1980) Surface-based air stress measurements made during AIDJEX. In Sea Ice Processes and Models (R. S. Pritchard, Ed. ), University of Washington Press, p. 419–429.
Lepparanta, M. (1980) On the drift and deformation of sea ice fields in the Bothnian Bay. Winter Navigation Research Board, Helsinki, Finland, Research Report 29.
Levitus, S. (1982) Climatological atlas of the world ocean. NOAA Professional Paper 13, 173 p.
Malvern, L. E. (1969) Introduction to the Mechanics of a Continuous Media. Prentice Hall, Englewood Cliffs, New Jersey.
Manabe, J., K. Bryan and M. J. Spelman (1979) A global ocean-atmosphere climate model with seasonal variation for future studies of climate sensitivity. Dyn Atmos Ocean., 3: 393–426.
Maykut, G. A. (1978) Energy exchange over young sea ice in the central Arctic. J Geophys Res., 83: 3646–3658.
McPhee, M. G. (1979) The effect of the oceanic boundary layer on the mean drift of pack ice: Application of a simple model. J Phys Oceanogr., 9: 388–400.
McPhee, M. G. (1980) An analysis of pack ice drift in summer. In Sea Ice Processes and Models ( R. S. Pritchard, Ed.), University of Washington Press, Seattle, Washington, p. 62–75.
McPhee, M. G. (1982) Sea ice drag laws and simple boundary layer concepts, including application to rapid melting, U.S.A. Cold Regions Research and Engineering Laboratory Report 82–4.
Nikiforov, Y. G. (1957) A change in the concentration of the ice cover in connection with its dynamics. Problemy Arktiki, 2: 59–71. (Translated by American Meteorological Society.)
Nye, J. F. (1973) Is there any physical basis for assuming linear viscous behavior for sea ice? AIDJEX Bulletin, 21: 18–19.
Omstedt, A. and J. Sahlberg (1977) Some results from a joint Swedish-Finnish sea ice experiment, March 1977. Winter Navigation Research Board, Norrkoping, Sweden, Research Report 26.
Parkinson, C. L. and W. M. Washington (1979) A large-scale numerical model of sea ice. J Geophys Res., 84: 311–337.
Parmerter, R. R. and M. D. Coon (1972) Model of pressure ridge formation in sea ice. J Geophys Res., 77: 6565–6575.
Pritchard, R. S. (1975) An elastic-plastic constitutive law for sea ice. J Appl Mech, 43E: 379–384.
Pritchard, R. S., M. D. Coon and M. G. McPhee (1977) Simulation of sea ice dynamics during AIDJEX. J Press Vess Tech., 99J: 491–497.
Roed, L. P., and J. J. O’Brien (1981) Geostrophic adjustment in highly dispersive media: An application to the marginal ice zone. J. Geophys Astrophys Fluid Dyn., 18: 263–27 8.
Rothrock, D. A. (1975a) The mechanical behavior of pack ice. Ann Rev Earth Planet. Sci., 3: 317–342.
Rothrock, D. A. (1975b) The energetics of the plastic deformation of pack ice by ridging. J Geophys Res., 80: 4514–4519.
Semtner, A. J, Jr. (1976) A model for the thermodynamic growth of sea ice in numerical investigations of climate. J Phys Oceanogr., 6: 379–389.
Sodhi, D. S. and W. D. Hibler III (1980) Nonsteady ice drift in the Strait of Belle Isle. In Sea Ice Processes and Models (R. S. Pritchard, Ed.), University of Washington Press, Seattle, Washington, p. 177–186. Thorndike, A. S., D. A, Rothrock, G. A. Maykut and R. Colony
The thickness distribution of sea ice. J Geophys Res., 80: 4501–4513.
Thorndike, A. S. and R. Colony (1982) Sea ice motion in response to geostrophic winds. J Geophys Res., 87: 5845–5852.
Tucker, W. B. Ill and W. D. Hibler III (1981) Preliminary results of ice modeling in the East Greenland area. In POAC 81: Proceedings, Sixth International Conference on Port and Ocean Engineering Under Arctic Conditions, Laval University, Quebec City, Quebec, Canada, p. 867–878.
Tucker, W. B. Ill and J. W. Govoni (1981) Morphological investigations of first-year sea ice pressure ridge sails. Cold Reg Sci Tech., 5: 1–12.
Tucker, W. B. Ill, W. F. Weeks and M. Frank (1979) Sea ice ridging over the Alaskan continental shelf. J Geophys Res., 84: 4885–4897.
Van Loon, H. (1972) Cloudiness and precipitation in the Southern Hemisphere. In Meteorology of the Southern Hemisphere (C. W. Newton, Ed.), Meteorological Monographs 13, p. 101–111. Wadhams, P. (1981) Sea ice topography of the Arctic Ocean in the region 70°W to 25°E. Phil Trans Roy Soc London, A302: 1464–1504.
Washington, W. M., A. J. Semtner, C. Parkinson and L. Morrison (1976) On the development of a seasonal change sea-ice model. J Phys Oceanogr., 6: 679–685.
Weeks, W. F., A. Kovacs and W. D. Hibler III (1971) Pressure ridge characteristics in the arctic coastal environment. In Proceedings, First International Conference on Port and Ocean Engineering Under Arctic Conditions, Technical University of Norway, Trondheim, Norway, Vol. 1, p. 152–193.
Zillmann, J. W. (1972) Solar radiation and air-sea interaction south of Australia. In Antarctic Oceanology. II: The Australian-New Zealand Sector (D. E. Haynes, Ed.), AGU Antarctic Research Series, Vol. 19, p. 11–40.
Zubov, N. N. (1943) L’dy Arktiki (Arctic Ice). Izdatel’stvo Glavsevmorputi, Moscow, 360 p. (U.S. Navy Hydrographie Office, Translation 217, 1963; available as AD426972 from NTIS, Springfield, Va. )
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Hibler, W.D. (1986). Ice Dynamics. In: Untersteiner, N. (eds) The Geophysics of Sea Ice. NATO ASI Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-5352-0_10
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DOI: https://doi.org/10.1007/978-1-4899-5352-0_10
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