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Chaotic dynamics of a glaciohydraulic model

Kingslake, J.. 2015 Chaotic dynamics of a glaciohydraulic model. Journal of Glaciology, 61 (227). 493-502. 10.3189/2015JoG14J208

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Abstract/Summary

A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing periodic floods, and fills with meltwater at a rate dependent on air temperature, which varies seasonally with a peak value of Tm. The analysis reveals regions of Tm parameter space corresponding to ‘mode locking’, where flood repeat time is independent of Tm; resonance, where decreasing Tm counter-intuitively increases flood size; and chaotic dynamics, where flood cycles are sensitive to initial conditions, never repeat and exhibit phase-space mixing. Bifurcations associated with abrupt changes in flood size and timing within the year separate these regions. This is the first time these complex dynamics have been displayed by a glaciohydraulic model and these findings have implications for our understanding of ice-marginal lakes, moulins and subglacial lakes.

Item Type: Publication - Article
Digital Object Identifier (DOI): 10.3189/2015JoG14J208
Programmes: BAS Programmes > BAS Programmes 2015 > Ice Dynamics and Palaeoclimate
ISSN: 00221430
Additional Keywords: glacier hazards, glacier hydrology, glacier modelling, jökulhlaups (GLOFs), subglacial processes
Date made live: 15 Jun 2015 13:49 +0 (UTC)
URI: http://nora.nerc.ac.uk/id/eprint/511045

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