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A physically based calving model applied to marine outlet glaciers and implications for the glacier dynamics

  • F.M. Nick (a1) (a2), C.J. Van Der Veen (a3), A. Vieli (a4) and D.I. Benn (a5) (a6)

We present results from numerical ice-flow models that include calving criteria based on penetration of surface and basal crevasses, which in turn is a function of longitudinal strain rates near the glacier front. The position of the calving front is defined as the point where either (1) surface crevasses reach the waterline (model CDw), or (2) surface and basal crevasses penetrate the full thickness of the glacier (model CD). For comparison with previous studies, results are also presented for a height-above-buoyancy calving model. Qualitatively, both models CDw and CD produce similar behaviour. Unlike previous models for calving, the new calving criteria are applicable to both grounded termini and floating ice shelves and tongues. The numerical ice-flow model is applied to an idealized geometry characteristic of marine outlet glaciers. Results indicate that grounding-line dynamics are less sensitive to basal topography than previously suggested. Stable grounding-line positions can be obtained even on a reverse bed slope with or without floating termini. The proposed calving criteria also allow calving losses to be linked to surface melt and therefore climate. In contrast to previous studies in which calving rate or position of the terminus is linked to local water depth, the new calving criterion is able to produce seasonal cycles of retreat and advance as observed for Greenland marine outlet glaciers. The contrasting dynamical behaviour and stability found for different calving models suggests that a realistic parameterization for the process of calving is crucial for any predictions of marine outlet glacier change.

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Alley R.B. and 6 others. 2007. A first calving law for ice shelves: spreading-rate control of calving rate. [Abstr. C43A-01.] Eos, 88(52), Fall Meet. Suppl.
Alley R.B. and 7 others. 2008. A simple law for ice-shelf calving. Science, 322(5906), 1344. (10.1126/science.1162543.)
Amundson J.M., Fahnestock M. Truffer M. Brown J. Luthi M.P. and Motyka R.J.. 2010. Ice melange dynamics and implications for terminus stability, Jakobshavn Isbræ, Greenland. J. Geophys. Res., 115(F1), F01005. (10.1029/2009JF001405.)
Benn D.I., Hulton N.R.J. and Mottram R.H.. 2007a. ‘Calving laws’, ‘sliding laws’ and the stability of tidewater glaciers. Ann. Glaciol., 46, 123-130.
Benn D.I., Warren C.W. and Mottram R.H.. 2007b. Calving processes and the dynamics of calving glaciers. Earth-Sci. Rev., 82(3-4), 143-179.
Bindschadler R. 1983. The importance of pressurized subglacial water in separation and sliding at the glacier bed. J. Glaciol., 29(101), 3-19.
Brown C.S., Meier M.F. and Post A.. 1982. Calving speed of Alaska tidewater glaciers, with application to Columbia Glacier. USGS Prof. Pap. 1258-C, C1-C13.
Csatho B., Schenk T. van der Veen C.J. and Krabill W.B.. 2008. Intermittent thinning of Jakobshavn Isbræ, West Greenland, since the Little Ice Age. J. Glaciol., 53(184), 131-144.
Gough W.A. and Houser C.. 2005. Climate memory and long-range forecasting of sea ice conditions in Hudson Strait. Polar Geogr, 29(1), 17-26.
Hanson B. and Hooke R.LeB.. 2000. Glacier calving: a numerical model of forces in the calving-speed/water-depth relation. J. Glaciol., 46(153), 188-196.
Holland D.M., Thomas R.H. de Young B., Ribergaard M.H. and Lyberth B.. 2008. Acceleration of Jakobshavn Isbræ triggered by warm subsurface ocean waters. Nature Geosci., 1(10), 659-664.
Howat I.M., Joughin I. Tulaczyk S. and Gogineni S.. 2005. Rapid retreat and acceleration of Helheim Glacier, east Greenland. Geophys. Res. Lett., 32(22), L22502. (10.1029/2005GL024737.)
Howat I.M., Joughin I.R. and Scambos T.A.. 2007. Rapid changes in ice discharge from Greenland outlet glaciers. Science, 315(5818), 1559-1561.
Howat I.M., Smith B.E. Joughin I. and Scambos T.A.. 2008a. Rates of southeast Greenland ice volume loss from combined ICESat and ASTER observations. Geophys. Res. Lett., 35(17), L17505. (10.1029/2008GL034496.)
Howat I.M., Joughin I. Fahnestock M. Smith B.E. and Scambos T.. 2008b. Synchronous retreat and acceleration of southeast Greenland outlet glaciers 2000-2006: ice dynamics and coupling to climate. J. Glaciol., 54(187), 646-660.
Jezek K.C. 1984. A modified theory of bottom crevasses used as a means for measuring the buttressing effect of ice shelves on inland ice sheets. J. Geophys. Res., 89(B3), 1925-1931.
Joughin I., Abdalati W. and Fahnestock M.A.. 2004. Large fluctuations in speed on Greenland’s Jakobshavn Isbræ glacier. Nature, 432(7017), 608-610.
Joughin I. and 7 others. 2008a. Continued evolution of Jakobshavn Isbræ following its rapid speedup. J. Geophys. Res., 113(F4), F04006. (10.1029/2008JF001023.)
Joughin I. and 8 others. 2008b. Ice-front variation and tidewater behavior on Helheim and Kangerdlugssuaq Glaciers, Greenland. J. Geophys. Res., 113(F1), F01004. (10.1029/2007JF000837.)
Joughin I., Das S.B. King M.A. Smith B.E. Howat I.M. and Moon T.. 2008c. Seasonal speedup along the western flank of the Greenland Ice Sheet. Science, 320(5877), 781-783.
Luckman A. and Murray T.. 2005. Seasonal variations in velocity before retreat of Jacobshavn Isbræ, Greenland. Geophys. Res. Lett., 32(8), L08501. (10.1029/2005GL022519.)
Luckman A., Murray T. de Lange R. and Hanna E.. 2006. Rapid and synchronous ice-dynamic changes in East Greenland. Geophys. Res. Lett., 33(3), L03503. (10.1029/2005GL025428.)
Meier M.F. and Post A.. 1987. Fast tidewater glaciers. J. Geophys. Res., 92(B9), 9051-9058.
Moon T. and Joughin I.. 2008. Changes in ice front position on Greenland’s outlet glaciers from 1992 to 2007. J. Geophys. Res., 113(F2), F02022. (1029/2007JF000927.)
Mottram R.H. and Benn D.I.. 2009. Testing crevasse-depth models: a field study at BreiSamerkurjokull, Iceland. J. Glaciol., 55(192), 746-752.
Motyka R.J. 1997. Deep-water calving at Le Conte Glacier, southeast Alaska. Byrd Polar Res. Cent. Rep. 15, 115-118.
Motyka R.J., Hunter L. Echelmeyer K.A. and Connor C.. 2003. Submarine melting at the terminus of a temperate tidewater glacier, LeConte Glacier, Alaska, U.S.A. Ann. Glaciol., 36, 57-65.
Motyka R.J., Truffer M. Fahnestock M.A. and Luthi M.. 2009. Submarine melting of the 1985 Jakobshavn Isbræ floating tongue and the triggering of the current retreat. [Abstr. C31F-06.] Eos, 90(52), Fall Meet. Suppl.
Nick F.M. and Oerlemans J.. 2006. Dynamics of tidewater glaciers: comparison of three models. J. Glaciol., 52(177), 183-190.
Nick F.M., van der Veen C.J. and Oerlemans J.. 2007. Controls on advance of tidewater glaciers: results from numerical modeling applied to Columbia Glacier. J. Geophys. Res., 112(F3), F03S24. (10.1029/2006JF000551.)
Nick F.M., Vieli A. Howat I.M. and Joughin I.. 2009. Large-scale changes in Greenland outlet glacier dynamics triggered at the terminus. Nature Geosci., 2(2), 110-114.
Nye J.F. 1955. Correspondence. Comments on Dr. Loewe’s letter and notes on crevasses. J. Glaciol., 2(17), 512-514.
Nye J.F. 1957. The distribution of stress and velocity in glaciers and ice-sheets. Proc. R. Soc. London, Ser. A, 239(1216), 113-133.
Oerlemans J. 2001. Glaciers and climate change. Lisse, etc., A.A. Balkema.
Otero J., Navarro F.J. Martin C. Cuadrado M.L. and Corcuera M.I.. 2010. A three-dimensional calving model: numerical experiments on Johnsons Glacier, Livingston Island, Antarctica. J. Glaciol., 56(196), 200-214.
Pfeffer W.T. and 7 others. 1997. Numerical modeling of late glacial Laurentide advance of ice across Hudson Strait: insights into terrestrial and marine geology, mass balance, and calving flux. Paleoceanography, 12(1), 97-110.
Rignot E. and Kanagaratnam P.. 2006. Changes in the velocity structure of the Greenland Ice Sheet. Science, 311(5673), 986-990.
Rignot E., Braaten D. Gogineni P. Krabill W.B. and McConnell J.R.. 2004. Rapid ice discharge from southeast Greenland glaciers. Geophys. Res. Lett., 31(10), L10401. (10.1029/2004GL019474.)
Rist M.A., Sammonds P.R. Murrell S.A.F. Meredith P.G. Oerter H. and Doake C.S.M.. 1996. Experimental fracture and mechanical properties of Antarctic ice: preliminary results. Ann. Glaciol., 23, 284-292.
Scambos T.A., Hulbe C. Fahnestock M. and Bohlander J.. 2000. The link between climate warming and break-up of ice shelves in the Antarctic Peninsula. J. Glaciol., 46(154), 516-530.
Shepherd A., Wingham D. and Rignot E.. 2004. Warm ocean is eroding West Antarctic Ice Sheet. Geophys. Res. Lett., 31(23), L23404. (10.1029/2004GL021106.)
Smith R.A. 1976. The application of fracture mechanics to the problem of crevasse penetration. J. Glaciol., 17(76), 223-228.
Smith R.A. 1978. Iceberg cleaving and fracture mechanics: a preliminary survey. In Husseiny A.A., ed. Iceberg utilization. New York, Pergamon Press.
Sohn H.G., Jezek K.C. and van der Veen C.J.. 1998. Jakobshavn Glacier, West Greenland: 30 years of spaceborne observations. Geophys. Res. Lett., 25(14), 2699-2702.
Thomas R.H., Abdalati W. Frederick E. Krabill W.B. Manizade S. and Steffen K.. 2003. Investigation of surface melting and dynamic thinning on Jakobshavn Isbræ, Greenland. J. Glaciol., 49(165), 231-239.
Van der Veen C.J. 1996. Tidewater calving. J. Glaciol., 42(141), 375-385.
Van der Veen C.J. 1998a. Fracture mechanics approach to penetration of bottom crevasses on glaciers. Cold Reg. Sci. Technol., 27(3), 213-223.
Van der Veen C.J. 1998b. Fracture mechanics approach to penetration of surface crevasses on glaciers. Cold Reg. Sci. Technol., 27(1), 31-47.
Van der Veen C.J. 1999. Fundamentals of glacier dynamics. Rotterdam, A.A. Balkema.
Van der Veen C.J. 2002. Calving glaciers. Progr. Phys. Geogr., 26(1), 96-122.
Van der Veen C.J. 2007. Fracture propagation as means of rapidly transferring surface meltwater to the base of glaciers. Geophys. Res. Lett., 34(1), L01501. (10.1029/2006GL028385.)
Van der Veen C.J. and Whillans I.M.. 1996. Model experiments on the evolution and stability of ice streams. Ann. Glaciol., 23, 129-137.
Vieli A. and Payne A.J.. 2005. Assessing the ability of numerical ice sheet models to simulate grounding line migration. J. Geophys. Res., 110(F1), F01003. (10.1029/2004JF000202.)
Vieli A., Funk M. and Blatter H.. 2001. Flow dynamics of tidewater glaciers: a numerical modelling approach. J. Glaciol., 47(159), 595-606.
Walker R.T., Dupont T.K. Parizek B.R. and Alley R.B.. 2008. Effects of basal-melting distribution on the retreat of ice-shelf grounding lines. Geophys. Res. Lett., 35(17), L17503. (10.1029/2008GL034947.)
Weertman J. 1973. Can a water-filled crevasse reach the bottom surface of a glacier? IASH Publ. 95 (Symposium at Cambridge 1969 – Hydrology of Glaciers), 139-145.
Weertman J. 1980. Bottom crevasses. J. Glaciol., 25(91), 185-188.
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