Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-27T16:44:13.175Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  20 July 2015

Alison F. Banwell*
Affiliation:
Scott Polar Research Institute, University of Cambridge, Cambridge CB2 1ER, UK
Douglas R. Macayeal
Affiliation:
Department of Geophysical Sciences, University of Chicago, Chicago, IL 60637, USA

Abstract

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.

Type
Physical Sciences
Copyright
© Antarctic Science Ltd 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Albrecht, T. & Levermann, A. 2012. Fracture field for large-scale ice dynamics. Journal of Glaciology, 58, 165176.Google Scholar
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.Google Scholar
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.Google Scholar
Bindschadler, R., Scambos, T.A., Rott, H., Skvarka, P. & Vornberger, P. 2002. Ice dolines on Larsen Ice Shelf, Antarctica. Annals of Glaciology, 34, 283290.Google Scholar
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.Google Scholar
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.Google Scholar
Collins, I.F. & McCrae, I.R. 1985. Creep buckling of ice shelves and the formation of pressure rollers. Journal of Glaciology, 31, 242252.Google Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
LaBarbera, C.H. & MacAyeal, D.R. 2011. Traveling supraglacial lakes on George VI Ice Shelf, Antarctica. Geophysical Research Letters, 38, 10.1029/2011GL049970.Google Scholar
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.Google Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
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.Google Scholar
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.Google Scholar
MacAyeal, D.R. & Sergienko, O.V. 2013. Flexural dynamics of melting ice shelves. Annals of Glaciology, 54, 10.3189/2013AoG63A256.Google Scholar
MacAyeal, D.R., Sergienko, O.V. & Banwell, A.F. 2015. A model of viscoelastic ice-shelf flexure. Journal of Glaciology, 61, 10.3189/2015JoG14J169.Google Scholar
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.Google Scholar
Maxwell, J.C. 1867. On the dynamical theory of gasses. Philosophical Transactions of the Royal Society London, 157, 10.1098/rstl.1867.0004.Google Scholar
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.Google Scholar
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.Google Scholar
Reynolds, J.M. 1981. Lakes on George VI Ice Shelf, Antarctica. Polar Record, 20, 425432.Google Scholar
Ribe, N.M. 2003. Periodic folding of viscous sheets. Physical Review E, 68, 0.1103/PhysRevE.68.036305.CrossRefGoogle ScholarPubMed
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.Google Scholar
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.CrossRefGoogle ScholarPubMed
Scambos, T.A., Hulbe, C. & Fahnestock, M. 2003. Climate-induced ice shelf disintegration in the Antarctic Peninsula. Antarctic Research Series, 79, 10.1029/AR079p0079.Google Scholar
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.Google Scholar
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.Google Scholar
Schulson, E. & Duval, P. 2009. Creep and fracture of ice. Cambridge: Cambridge University Press, 416 pp.Google Scholar
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.CrossRefGoogle Scholar
Sergienko, O.V. 2013. Glaciological twins: basally controlled subglacial and supraglacial lakes. Journal of Glaciology, 59, 10.3189/2013JoG12J040.Google Scholar
Shepherd, A., Wingham, D., Payne, T. & Skvarca, P. 2003. Larsen Ice Shelf has progressively thinned. Science, 302, 10.1126/science.1089768.Google Scholar
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.Google Scholar
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.Google Scholar
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.Google Scholar
Van den Broeke, M. 2005. Strong surface melting preceded collapse of Antarctic Peninsula ice shelf. Geophysical Research Letters, 32, 10.1029/2005GL023247.Google Scholar
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.Google Scholar
Supplementary material: PDF

Banwell and Macayeal supplementary material

Banwell and Macayeal supplementary material 1

Download Banwell and Macayeal supplementary material(PDF)
PDF 142.9 KB