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Ice-shelf fracture due to viscoelastic flexure stress induced by fill/drain cycles of supraglacial lakes

  • Alison F. Banwell (a1) and Douglas R. Macayeal (a2)


Using a previously derived treatment of viscoelastic flexure of floating ice shelves, we simulated multiple years of evolution of a single, axisymmetric supraglacial lake when it is subjected to annual fill/drain cycles. Our viscoelastic treatment follows the assumptions of the well-known thin-beam and thin-plate analysis but, crucially, also covers power-law creep rheology. As the ice-shelf surface does not completely return to its un-flexed position after a 1-year fill/drain cycle, the lake basin deepens with each successive cycle. This deepening process is significantly amplified when lake-bottom ablation is taken into account. We evaluate the timescale over which a typical lake reaches a sufficient depth such that ice-shelf fracture can occur well beyond the lake itself in response to lake filling/drainage. We show that, although this is unlikely during one fill/drain cycle, fracture is possible after multiple years assuming surface meltwater availability is unlimited. This extended zone of potential fracture implies that flexural stresses in response to a single lake filling/drainage event can cause neighbouring lakes to drain, which, in turn, can cause lakes farther afield to drain. Such self-stimulating behaviour may have accounted for the sudden, widespread appearance of a fracture system that drove the Larsen B Ice Shelf to break-up in 2002.


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Albrecht, T. & Levermann, A. 2012. Fracture field for large-scale ice dynamics. Journal of Glaciology, 58, 165176.
Banwell, A.F., MacAyeal, D.R. & Sergienko, O.V. 2013. Breakup of the Larsen B Ice Shelf triggered by chain reaction drainage of supraglacial lakes. Geophysical Research Letters, 40, 10.1002/2013GL057694.
Banwell, A.F., Caballero, M., Arnold, N.S., Glasser, N.F., Mac Cathles, L. & MacAyeal, D.R. 2014. Supraglacial lakes on the Larsen B Ice Shelf, Antarctica, and the Paakitsoq, West Greenland: a comparative study. Annals of Glaciology, 55, 10.3189/2014AoG66A049.
Bindschadler, R., Scambos, T.A., Rott, H., Skvarka, P. & Vornberger, P. 2002. Ice dolines on Larsen Ice Shelf, Antarctica. Annals of Glaciology, 34, 283290.
Borstad, C.P., Khazendar, A., Larour, E., Morlighem, M., Rignot, E., Schodlok, M.P. & Seroussi, H. 2012. A damage mechanics assessment of the Larsen B Ice Shelf prior to collapse: toward a physically-based calving law. Geophysical Research Letters, 39, 10.1029/2012GL053317.
Burton, J.C., Amundson, J.M., Abbot, D.S., Boghosian, A., Cathles, L.M., Correa-Legisos, S., Darnell, K.N., Guttenberg, N., Holland, D.M. & MacAyeal, D.R. 2012. Laboratory investigations of iceberg capsize dynamics, energy dissipation and tsunamigenesis. Journal of Geophysical Research - Earth Surface, 117, 10.1029/2011JF002055.
Collins, I.F. & McCrae, I.R. 1985. Creep buckling of ice shelves and the formation of pressure rollers. Journal of Glaciology, 31, 242252.
Dugan, H.A., Obryk, M.K. & Doran, P.T. 2013. Lake ice ablation rates from permanently ice-covered Antarctic lakes. Journal of Glaciology, 59, 10.3189/2013JoG121080.
Gilbert, R. & Domack, E.W. 2003. Sedimentary record of disintegrating ice shelves in a warming climate, Antarctic Peninsula. Geochemistry Geophysics Geosystems, 4, 10.1029/2002GC000441.
Glasser, N.F. & Scambos, T.A. 2008. A structural glaciological analysis of the 2002 Larsen Ice Shelf collapse. Journal of Glaciology, 54, 10.3189/002214308784409017.
Gudmundsson, G.H. 2011. Ice-stream response to ocean tides and the form of the basal sliding law. Cryosphere, 5, 10.5194/tc-5-259-2011.
Ishikawa, N., Takizawa, A., Kawamura, T., Shirasawa, K. & Leppäranta, M. 2002. Changes in radiation properties and heat balance with sea ice growth in Saroma Lagoon and the Gulf of Finland. In Squire, V. & Langhorne, P., eds. Ice in the environment, vol. 3. Proceedings of the sixteenth IAHR International Symposium on Ice. Dunedin: University of Otago, 194–200.
LaBarbera, C.H. & MacAyeal, D.R. 2011. Traveling supraglacial lakes on George VI Ice Shelf, Antarctica. Geophysical Research Letters, 38, 10.1029/2011GL049970.
Le Brocq, A.M., Ross, N., Griggs, J.A., Bingham, R.G., Corr, H.F.J., Ferraccioli, F., Jenkins, A., Jordan, T.A., Payne, A.J., Rippin, D.M. & Siegert, M.J. 2013. Evidence from ice shelves for channelized meltwater flow beneath the Antarctic ice sheet. Nature Geoscience, 6, 10.1038/NGEO1977.
Leppäranta, M., Järvinen, O. & Mattila, O.P. 2013. Structure and life cycle of supraglacial lakes in Dronning Maud Land. Antarctic Science, 25, 10.1017/S0954102012001009.
Ligtenberg, S.R.M., Munneke, P.K. & van den Broeke, M.R. 2014. Present and future variations in Antarctic firn air content. Cryosphere, 8, 10.5194/tc-8-1711-2014.
Luckman, A., Jansen, D., Kulessa, B., King, E.C., Sammonds, P. & Benn, D.I. 2012. Basal crevasses in Larsen C Ice Shelf and implications for their global abundance. Cryosphere, 6, 10.5194/tc-6-113-2012.
Luckman, A., Elvidge, A., Jansen, D., Kulessa, B., Munneke, P.K., King, J. & Barrand, N.E. 2014. Surface melt and ponding on Larsen C Ice Shelf and the impact of fohn winds. Antarctic Science, 26, 10.1017/S0954102014000339.
MacAyeal, D.R. & Sergienko, O.V. 2013. Flexural dynamics of melting ice shelves. Annals of Glaciology, 54, 10.3189/2013AoG63A256.
MacAyeal, D.R., Sergienko, O.V. & Banwell, A.F. 2015. A model of viscoelastic ice-shelf flexure. Journal of Glaciology, 61, 10.3189/2015JoG14J169.
MacAyeal, D.R., Scambos, T.A., Hulbe, C.L. & Fahnestock, M.A. 2003. Catastrophic ice-shelf break-up by an ice-shelf-fragment-capsize mechanism. Journal of Glaciology, 49, 2236.
Maxwell, J.C. 1867. On the dynamical theory of gasses. Philosophical Transactions of the Royal Society London, 157, 10.1098/rstl.1867.0004.
McGrath, D., Steffen, K., Rajaram, H., Scambos, T., Abdalati, W. & Rignot, E. 2012. Basal crevasses on the Larsen C Ice Shelf, Antarctica: implications for melt-water ponding and hydrofracture. Geophysical Research Letters, 39, 10.1029/2012GL052413.
Munneke, P.K, Ligtenberg, S.R.M., van den Broeke, M. & Vaughan, D.G. 2014. Firn air depletion as a precursor of Antarctic ice-shelf collapse. Journal of Glaciology, 60, 10.3189/2014JoG13J183.
Reynolds, J.M. 1981. Lakes on George VI Ice Shelf, Antarctica. Polar Record, 20, 425432.
Ribe, N.M. 2003. Periodic folding of viscous sheets. Physical Review E, 68, 0.1103/PhysRevE.68.036305.
Rosier, S.H.R., Gudmundsson, G.H. & Green, J.A.M. 2014. Insights into ice stream dynamics through modelling their response to tidal forcing. Cryosphere, 8, 10.5194/tc-8-1763-2014.
Sayag, R. & Worster, M.G. 2011. Elastic response of a grounded ice sheet coupled to a floating ice shelf. Physical Review E, 84, 10.1103/PhysRevE.84.036111.
Scambos, T.A., Hulbe, C. & Fahnestock, M. 2003. Climate-induced ice shelf disintegration in the Antarctic Peninsula. Antarctic Research Series, 79, 10.1029/AR079p0079.
Scambos, T.A., Hulbe, C., Fahnestock, M. & Bohlander, J. 2000. The link between climate warming and break-up of ice shelves in the Antarctic Peninsula. Journal of Glaciology, 46, 516530.
Scambos, T., Fricker, H.A., Liu, C.C., Bohlander, J., Fastook, J., Sargent, A., Massom, R. & Wu, A.M. 2009. Ice shelf disintegration by plate bending and hydro-fracture: satellite observations and model results of the 2008 Wilkins Ice Shelf break-ups. Earth and Planetary Science Letters, 280, 10.1016/j.epsl.2008.12.027.
Schulson, E. & Duval, P. 2009. Creep and fracture of ice. Cambridge: Cambridge University Press, 416 pp.
Sergienko, O.V. 2010. Elastic response of floating glacier ice to impact of long-period ocean waves. Journal of Geophysical Research - Earth Surface, 115, 10.1029/2010JF001721.
Sergienko, O.V. 2013. Glaciological twins: basally controlled subglacial and supraglacial lakes. Journal of Glaciology, 59, 10.3189/2013JoG12J040.
Shepherd, A., Wingham, D., Payne, T. & Skvarca, P. 2003. Larsen Ice Shelf has progressively thinned. Science, 302, 10.1126/science.1089768.
Tedesco, M., Luthje, M., Steffen, K., Steiner, N., Fettweiss, X., Willis, I, Bayou, N. & Banwell, A. 2012. Measurement and modeling of ablation of the bottom of supraglacial lakes in western Greenland. Geophysical Research Letters, 39, 10.1029/2011GL049882.
Tedesco, M., Willis, I.C., Hoffman, M.J., Banwell, A.F., Alexander, P. & Arnold, N.S. 2013. Ice dynamic response to two modes of surface lake drainage on the Greenland ice sheet. Environmental Research Letters, 8, 10.1088/1748-9326/8/3/034007.
Walker, R.T., Parizek, B.R., Alley, R.B., Anandakrishnan, S., Riverman, K.L. & Christianson, K. 2013. Ice-shelf tidal flexure and subglacial pressure variations. Earth and Planetary Science Letters, 361, 422428.
Van den Broeke, M. 2005. Strong surface melting preceded collapse of Antarctic Peninsula ice shelf. Geophysical Research Letters, 32, 10.1029/2005GL023247.
Van der Veen, C.J. 1998. Fracture mechanics approach to penetration of surface crevasses on glaciers. Cold Regions Science and Technology, 27, 10.1016/S0165-232X(97)00022-0.


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Ice-shelf fracture due to viscoelastic flexure stress induced by fill/drain cycles of supraglacial lakes

  • Alison F. Banwell (a1) and Douglas R. Macayeal (a2)


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