Simulating ice-shelf extent using damage mechanics

Kachuck, Samuel B.; Whitcomb, Morgan; Bassis, Jeremy N.; Martin, Daniel F.; Price, Stephen F.

doi:10.1017/jog.2022.12

Simulating ice-shelf extent using damage mechanics

Journal Article · Mon Mar 07 00:00:00 EST 2022 · Journal of Glaciology

DOI:https://doi.org/10.1017/jog.2022.12· OSTI ID:1848007

; ; ; ; Price, Stephen F.

Abstract

Inaccurate representations of iceberg calving from ice shelves are a large source of uncertainty in mass-loss projections from the Antarctic ice sheet. Here, we address this limitation by implementing and testing a continuum damage-mechanics model in a continental scale ice-sheet model. The damage-mechanics formulation, based on a linear stability analysis and subsequent long-wavelength approximation of crevasses that evolve in a viscous medium, links damage evolution to climate forcing and the large-scale stresses within an ice shelf. We incorporate this model into the BISICLES ice-sheet model and test it by applying it to idealized (1) ice tongues, for which we present analytical solutions and (2) buttressed ice-shelf geometries. Our simulations show that the model reproduces the large disparity in lengths of ice shelves with geometries and melt rates broadly similar to those of four Antarctic ice shelves: Erebus Glacier Tongue (length ~ 13 km), the unembayed portion of Drygalski Ice Tongue (~ 65 km), the Amery Ice Shelf (~ 350 km) and the Ross Ice Shelf (~ 500 km). These results demonstrate that our simple continuum model holds promise for constraining realistic ice-shelf extents in large-scale ice-sheet models in a computationally tractable manner.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); Natural Environment Research Council (NERC); USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Biological and Environmental Research (BER)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1848007

Alternate ID(s):: OSTI ID: 1885457

Journal Information:: Journal of Glaciology, Journal Name: Journal of Glaciology; ISSN 0022-1430

Publisher:: Cambridge University Press (CUP)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

References (61)

Breakup of the Larsen B Ice Shelf triggered by chain reaction drainage of supraglacial lakes: LARSEN B CHAIN REACTION LAKE DRAINAGE Banwell, Alison F.; MacAyeal, Douglas R.; Sergienko, Olga V. Geophysical Research Letters, Vol. 40, Issue 22 https://doi.org/10.1002/2013GL057694	journal	November 2013
Basal terraces on melting ice shelves: BASAL TERRACES ON MELTING ICE SHELVES Dutrieux, Pierre; Stewart, Craig; Jenkins, Adrian Geophysical Research Letters, Vol. 41, Issue 15 https://doi.org/10.1002/2014GL060618	journal	August 2014
A constitutive framework for predicting weakening and reduced buttressing of ice shelves based on observations of the progressive deterioration of the remnant Larsen B Ice Shelf: CONSTITUTIVE FRAMEWORK FOR ICE WEAKENING Borstad, Chris; Khazendar, Ala; Scheuchl, Bernd Geophysical Research Letters, Vol. 43, Issue 5 https://doi.org/10.1002/2015GL067365	journal	March 2016
Ice shelf basal melt rates around Antarctica from simulations and observations: ICE SHELF BASAL MELT AROUND ANTARCTICA Schodlok, M. P.; Menemenlis, D.; Rignot, E. J. Journal of Geophysical Research: Oceans, Vol. 121, Issue 2 https://doi.org/10.1002/2015JC011117	journal	February 2016
Fracture mechanics approach to penetration of surface crevasses on glaciers van der Veen, C. J. Cold Regions Science and Technology, Vol. 27, Issue 1 https://doi.org/10.1016/S0165-232X(97)00022-0	journal	February 1998
Fracture mechanics approach to penetration of bottom crevasses on glaciers van der Veen, C. J. Cold Regions Science and Technology, Vol. 27, Issue 3 https://doi.org/10.1016/S0165-232X(98)00006-8	journal	June 1998
The calving constraints on inception of Quaternary ice sheets Kenneally, James P.; Hughes, Terence J. Quaternary International, Vol. 95-96 https://doi.org/10.1016/S1040-6182(02)00026-5	journal	September 2002
Calving processes and the dynamics of calving glaciers Benn, Douglas I.; Warren, Charles R.; Mottram, Ruth H. Earth-Science Reviews, Vol. 82, Issue 3-4 https://doi.org/10.1016/j.earscirev.2007.02.002	journal	June 2007
Evolution of basal crevasses links ice shelf stability to ocean forcing Bassis, J. N.; Ma, Y. Earth and Planetary Science Letters, Vol. 409 https://doi.org/10.1016/j.epsl.2014.11.003	journal	January 2015
Adaptive mesh, finite volume modeling of marine ice sheets Cornford, Stephen L.; Martin, Daniel F.; Graves, Daniel T. Journal of Computational Physics, Vol. 232, Issue 1 https://doi.org/10.1016/j.jcp.2012.08.037	journal	January 2013
A temperature dependent creep damage model for polycrystalline ice Duddu, Ravindra; Waisman, Haim Mechanics of Materials, Vol. 46 https://doi.org/10.1016/j.mechmat.2011.11.007	journal	March 2012
Penetration Depth of Closely Spaced Water-free Crevasses Weertman, J. Journal of Glaciology, Vol. 18, Issue 78 https://doi.org/10.1017/S0022143000021493	journal	January 1977
Erebus Glacier Tongue, Mcmurdo Sound, Antarctica Holdsworth, G. Journal of Glaciology, Vol. 13, Issue 67 https://doi.org/10.1017/S0022143000023340	journal	January 1974
Deformation of Floating Ice Shelves Weertman, J. Journal of Glaciology, Vol. 3, Issue 21 https://doi.org/10.1017/S0022143000024710	journal	January 1957
On The Calving of Ice From Floating Glaciers and Ice Shelves Reeh, Niels Journal of Glaciology, Vol. 7, Issue 50 https://doi.org/10.1017/S0022143000031014	journal	January 1968
Marine ice sheet dynamics: the impacts of ice-shelf buttressing Pegler, Samuel S. Journal of Fluid Mechanics, Vol. 857 https://doi.org/10.1017/jfm.2018.741	journal	October 2018
Modeling hydraulic fracture of glaciers using continuum damage mechanics Mobasher, Mostafa E.; Duddu, Ravindra; Bassis, Jeremy N. Journal of Glaciology, Vol. 62, Issue 234 https://doi.org/10.1017/jog.2016.68	journal	May 2016
Drygalski Ice Tongue stability influenced by rift formation and ice morphology Indrigo, Christine; Dow, Christine F.; Greenbaum, Jamin S. Journal of Glaciology, Vol. 67, Issue 262 https://doi.org/10.1017/jog.2020.99	journal	December 2020
Distribution of marine ice beneath the Amery Ice Shelf Fricker, Helen Amanda; Popov, Sergey; Allison, Ian Geophysical Research Letters, Vol. 28, Issue 11 https://doi.org/10.1029/2000GL012461	journal	June 2001
Assessment of the importance of ice-shelf buttressing to ice-sheet flow: BUTTRESSING SENSITIVITY Dupont, T. K.; Alley, R. B. Geophysical Research Letters, Vol. 32, Issue 4 https://doi.org/10.1029/2004GL022024	journal	February 2005
Episodic propagation of a rift on the Amery Ice Shelf, East Antarctica Bassis, J. N. Geophysical Research Letters, Vol. 32, Issue 6 https://doi.org/10.1029/2004GL022048	journal	January 2005
Dynamic damage model of crevasse opening and application to glacier calving Pralong, A. Journal of Geophysical Research, Vol. 110, Issue B1 https://doi.org/10.1029/2004JB003104	journal	January 2005
Ice sheet grounding line dynamics: Steady states, stability, and hysteresis Schoof, Christian Journal of Geophysical Research, Vol. 112, Issue F3 https://doi.org/10.1029/2006JF000664	journal	January 2007
Melting of floating ice and sea level rise: FLOATING ICE AND SEA LEVEL RISE Jenkins, Adrian; Holland, David Geophysical Research Letters, Vol. 34, Issue 16 https://doi.org/10.1029/2007GL030784	journal	August 2007
Grounding line movement and ice shelf buttressing in marine ice sheets Goldberg, D.; Holland, D. M.; Schoof, C. Journal of Geophysical Research, Vol. 114, Issue F4 https://doi.org/10.1029/2008JF001227	journal	January 2009
Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM): ICE SHEET SYSTEM MODEL Larour, E.; Seroussi, H.; Morlighem, M. Journal of Geophysical Research: Earth Surface, Vol. 117, Issue F1 https://doi.org/10.1029/2011JF002140	journal	March 2012
A damage mechanics assessment of the Larsen B ice shelf prior to collapse: Toward a physically-based calving law: A CALVING LAW BASED ON DAMAGE MECHANICS Borstad, C. P.; Khazendar, A.; Larour, E. Geophysical Research Letters, Vol. 39, Issue 18 https://doi.org/10.1029/2012GL053317	journal	September 2012
Millennial‐Scale Vulnerability of the Antarctic Ice Sheet to Regional Ice Shelf Collapse Martin, Daniel F.; Cornford, Stephen L.; Payne, Antony J. Geophysical Research Letters, Vol. 46, Issue 3 https://doi.org/10.1029/2018GL081229	journal	February 2019
Quasi‐Static Granular Flow of Ice Mélange Amundson, J. M.; Burton, J. C. Journal of Geophysical Research: Earth Surface, Vol. 123, Issue 9 https://doi.org/10.1029/2018JF004685	journal	September 2018
A modified theory of bottom crevasses used as a means for measuring the buttressing effect of ice shelves on inland ice sheets Jezek, Kenneth C. Journal of Geophysical Research: Solid Earth, Vol. 89, Issue B3 https://doi.org/10.1029/JB089iB03p01925	journal	March 1984
Calving fluxes and basal melt rates of Antarctic ice shelves Depoorter, M. A.; Bamber, J. L.; Griggs, J. A. Nature, Vol. 502, Issue 7469 https://doi.org/10.1038/nature12567	journal	September 2013
Stability of the West Antarctic ice sheet in a warming world Joughin, Ian; Alley, Richard B. Nature Geoscience, Vol. 4, Issue 8 https://doi.org/10.1038/ngeo1194	journal	July 2011
Basal melting of Ross Ice Shelf from solar heat absorption in an ice-front polynya Stewart, Craig L.; Christoffersen, Poul; Nicholls, Keith W. Nature Geoscience, Vol. 12, Issue 6 https://doi.org/10.1038/s41561-019-0356-0	journal	April 2019
Projected land ice contributions to twenty-first-century sea level rise Edwards, Tamsin L.; Nowicki, Sophie; Marzeion, Ben Nature, Vol. 593, Issue 7857 https://doi.org/10.1038/s41586-021-03302-y	journal	May 2021
Ocean-driven thinning enhances iceberg calving and retreat of Antarctic ice shelves Liu, Yan; Moore, John C.; Cheng, Xiao Proceedings of the National Academy of Sciences, Vol. 112, Issue 11 https://doi.org/10.1073/pnas.1415137112	journal	March 2015
Quantifying flow and stress in ice mélange, the world’s largest granular material Burton, Justin C.; Amundson, Jason M.; Cassotto, Ryan Proceedings of the National Academy of Sciences, Vol. 115, Issue 20 https://doi.org/10.1073/pnas.1715136115	journal	April 2018
Damage accelerates ice shelf instability and mass loss in Amundsen Sea Embayment Lhermitte, Stef; Sun, Sainan; Shuman, Christopher Proceedings of the National Academy of Sciences, Vol. 117, Issue 40 https://doi.org/10.1073/pnas.1912890117	journal	September 2020
The velocity field and flow regime of David Glacier and Drygalski Ice Tongue, Antarctica Wuite, J.; Jezek, K. C.; Wu, X. Polar Geography, Vol. 32, Issue 3-4 https://doi.org/10.1080/10889370902815499	journal	September 2009
Thin-Film Flows with Wall Slip: An Asymptotic Analysis of Higher Order Glacier Flow Models Schoof, C.; Hindmarsh, R. C. A. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 63, Issue 1 https://doi.org/10.1093/qjmam/hbp025	journal	January 2010
Geometry of nonlinear least squares with applications to sloppy models and optimization Transtrum, Mark K.; Machta, Benjamin B.; Sethna, James P. Physical Review E, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevE.83.036701	journal	March 2011
A Simple Law for Ice-Shelf Calving Alley, Richard B.; Horgan, Huw J.; Joughin, Ian Science, Vol. 322, Issue 5906 https://doi.org/10.1126/science.1162543	journal	November 2008
Ice Flow of the Antarctic Ice Sheet Rignot, E.; Mouginot, J.; Scheuchl, B. Science, Vol. 333, Issue 6048 https://doi.org/10.1126/science.1208336	journal	August 2011
Ice-Shelf Melting Around Antarctica Rignot, E.; Jacobs, S.; Mouginot, J. Science, Vol. 341, Issue 6143 https://doi.org/10.1126/science.1235798	journal	June 2013
Iceberg calving and the glacioclimatic record Warren, Charles R. Progress in Physical Geography: Earth and Environment, Vol. 16, Issue 3 https://doi.org/10.1177/030913339201600301	journal	September 1992
An investigation into the forces that drive ice-shelf rift propagation on the Amery Ice Shelf, East Antarctica Bassis, Jeremy N.; Fricker, Helen A.; Coleman, Richard Journal of Glaciology, Vol. 54, Issue 184 https://doi.org/10.3189/002214308784409116	journal	January 2008
Basal melting and freezing under the Amery Ice Shelf, East Antarctica Wen, Jiahong; Wang, Yafeng; Wang, Weili Journal of Glaciology, Vol. 56, Issue 195 https://doi.org/10.3189/002214310791190820	journal	January 2010
A unifying framework for iceberg-calving models Amundson, Jason M.; Truffer, Martin Journal of Glaciology, Vol. 56, Issue 199 https://doi.org/10.3189/002214310794457173	journal	January 2010
A physically based calving model applied to marine outlet glaciers and implications for the glacier dynamics Nick, F. M.; Van Der Veen, C. J.; Vieli, A. Journal of Glaciology, Vol. 56, Issue 199 https://doi.org/10.3189/002214310794457344	journal	January 2010
‘Calving laws’, ‘sliding laws’ and the stability of tidewater glaciers Benn, Douglas I.; Hulton, Nicholas R. J.; Mottram, Ruth H. Annals of Glaciology, Vol. 46 https://doi.org/10.3189/172756407782871161	journal	January 2007
20th century behaviour of Drygalski Ice Tongue, Ross Sea, Antarctica Frezzotti, M.; Mabin, M. C. G. Annals of Glaciology, Vol. 20 https://doi.org/10.3189/1994AoG20-1-397-400	journal	January 1994
Fracture field for large-scale ice dynamics Albrecht, Torsten; Levermann, Anders Journal of Glaciology, Vol. 58, Issue 207 https://doi.org/10.3189/2012JoG11J191	journal	January 2012
Conceptual thoughts on continuum damage mechanics for shallow ice shelves Keller, Arne; Hutter, Kolumban Journal of Glaciology, Vol. 60, Issue 222 https://doi.org/10.3189/2014JoG14J010	journal	January 2014
Dynamics of Erebus Glacier Tongue Holdsworth, G. Annals of Glaciology, Vol. 3 https://doi.org/10.3189/S0260305500002652	journal	January 1982
Ice shelf fracture parameterization in an ice sheet model Sun, Sainan; Cornford, Stephen L.; Moore, John C. The Cryosphere, Vol. 11, Issue 6 https://doi.org/10.5194/tc-11-2543-2017	journal	January 2017
A simple parametrization of mélange buttressing for calving glaciers Schlemm, Tanja; Levermann, Anders The Cryosphere, Vol. 15, Issue 2 https://doi.org/10.5194/tc-15-531-2021	journal	January 2021
The Potsdam Parallel Ice Sheet Model (PISM-PIK) – Part 2: Dynamic equilibrium simulation of the Antarctic ice sheet Martin, M. A.; Winkelmann, R.; Haseloff, M. The Cryosphere, Vol. 5, Issue 3 https://doi.org/10.5194/tc-5-727-2011	journal	January 2011
Kinematic first-order calving law implies potential for abrupt ice-shelf retreat Levermann, A.; Albrecht, T.; Winkelmann, R. The Cryosphere, Vol. 6, Issue 2 https://doi.org/10.5194/tc-6-273-2012	journal	January 2012
Brief Communication "The 2013 Erebus Glacier Tongue calving event" Stevens, C. L.; Sirguey, P.; Leonard, G. H. The Cryosphere, Vol. 7, Issue 5 https://doi.org/10.5194/tc-7-1333-2013	journal	January 2013
A particle based simulation model for glacier dynamics Åström, J. A.; Riikilä, T. I.; Tallinen, T. The Cryosphere, Vol. 7, Issue 5 https://doi.org/10.5194/tc-7-1591-2013	journal	January 2013
Bedmap2: improved ice bed, surface and thickness datasets for Antarctica Fretwell, P.; Pritchard, H. D.; Vaughan, D. G. The Cryosphere, Vol. 7, Issue 1 https://doi.org/10.5194/tc-7-375-2013	journal	January 2013
Ice-shelf buttressing and the stability of marine ice sheets Gudmundsson, G. H. The Cryosphere, Vol. 7, Issue 2 https://doi.org/10.5194/tc-7-647-2013	journal	January 2013

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54 ENVIRONMENTAL SCIENCES
ice physics
ice shelves
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iceberg calving

Simulating ice-shelf extent using damage mechanics

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