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Theoretical Stability of Ice Shelf Basal Crevasses with a Vertical Temperature Profile
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  • Niall Bennet Coffey,
  • Ching-Yao Lai,
  • Yongji Wang,
  • W. Roger Buck,
  • Trystan Surawy-Stepney,
  • Anna E Hogg
Niall Bennet Coffey
Stanford University

Corresponding Author:[email protected]

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Ching-Yao Lai
Stanford University
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Yongji Wang
Stanford University
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W. Roger Buck
Lamont-Doherty Earth Observatory
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Trystan Surawy-Stepney
University of Leeds
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Anna E Hogg
University of Leeds
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Abstract

Basal crevasses threaten the stability of ice shelves through the potential to form rifts and calve icebergs. Different existing fracture theories lead to distinct calving predictions. Furthermore, it is important to determine the dependence of crevasse stability on temperature due to large vertical temperature variations on ice shelves. In this work, we explore the transition from basal crevasses to full thickness fractures considering the vertical temperature structure. Nye’s Zero-Stress approximation violates Newton’s second law. By upholding horizontal force balance, it has been shown analytically that the threshold stress for rift initiation is that of a freely- floating unconfined ice tongue. We generalize the force balance argument to show that while temperature structure influences crack depths, the threshold rifting stress is insensitive to temperature. In the classical Nye’s theory, basal crevasses would develop into rifts at a stress twice of that in our Nye’s theory adhering to horizontal force balance.
08 Nov 2023Submitted to ESS Open Archive
08 Nov 2023Published in ESS Open Archive