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Modelling Ice-Dammed Lake Drainage

Kingslake, Jonathan (2013) Modelling Ice-Dammed Lake Drainage. PhD thesis, University of Sheffield.

Text (PhD Thesis)
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The drainage of ice-dammed lakes produces floods that can pose hazards, waste water resources and modulate ice flow. In this thesis I investigate several aspects of ice-dammed lake drainage through the development and analysis of mathematical models. After an introduction in the first chapter and a description of the mathematical background to the thesis in the second, the third chapter investigates the mechanisms behind observed variability in the size and timing of subglacial floods from ice-dammed lakes. In particular, I examine how environmental controls like the weather and the shape of glaciers affect floods. In the next chapter, I quantify how well simple models can predict the dates of floods from an ice-marginal lake in Kyrgyzstan. I find that incorporating environmental controls into models improves their prediction ability. Next I investigate the coupling between subglacial drainage and glacier motion during ice-dammed lake drainage by developing and analysing a model which couples a marginal lake, glacier sliding, subglacial drainage through a channel and subglacial drainage through a distributed system of cavities. I show how changes in lake level cause the rate at which a glacier slides to increase during the first half of floods and decrease during the second half. The next two chapters are concerned with two lake-drainage scenarios that involve water flowing as an open stream: firstly, the subglacial open-channel flow that occurs after a marginal lake drains completely during a flood, and secondly, the drainage of supraglacial lakes across the surface of ice sheets. I end the thesis with a summary of my findings and some suggestions of theoretical and field-based investigations that are worthwhile pursing in the future.

Item Type: Thesis (PhD)
Academic Units: The University of Sheffield > Faculty of Social Sciences (Sheffield) > Geography (Sheffield)
Identification Number/EthosID: uk.bl.ethos.581729
Depositing User: Mr Jonatham Kingslake
Date Deposited: 20 Nov 2013 10:58
Last Modified: 03 Oct 2016 10:46
URI: http://etheses.whiterose.ac.uk/id/eprint/4630

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