Journal of Glaciology A general theory of glacier surges D. I. Benn1, A. C. Fowler2,3, I. Hewitt2 and H. Sevestre1 1School of Geography and Sustainable Development, University of St. Andrews, St. Andrews, KY16 9AL, UK; 2Oxford Centre for Industrial and Applied Mathematics, University of Oxford, Oxford, OX2 6GG, UK and 3Mathematics Paper Applications Consortium for Science and Industry, University of Limerick, Limerick, Ireland Cite this article: Benn DI, Fowler AC, Hewitt I, Sevestre H (2019). A general theory of glacier Abstract surges. Journal of Glaciology 1–16. https:// We present the first general theory of glacier surging that includes both temperate and polythermal doi.org/10.1017/jog.2019.62 glacier surges, based on coupled mass and enthalpy budgets. Enthalpy (in the form of thermal Received: 19 February 2019 energy and water) is gained at the glacier bed from geothermal heating plus frictional heating Revised: 24 July 2019 (expenditure of potential energy) as a consequence of ice flow. Enthalpy losses occur by conduc- Accepted: 29 July 2019 tion and loss of meltwater from the system. Because enthalpy directly impacts flow speeds, mass and enthalpy budgets must simultaneously balance if a glacier is to maintain a steady flow. If not, Keywords: Dynamics; enthalpy balance theory; glacier glaciers undergo out-of-phase mass and enthalpy cycles, manifest as quiescent and surge phases. surge We illustrate the theory using a lumped element model, which parameterizes key thermodynamic and hydrological processes, including surface-to-bed drainage and distributed and channelized Author for correspondence: D. I. Benn, drainage systems. Model output exhibits many of the observed characteristics of polythermal E-mail:
[email protected] and temperate glacier surges, including the association of surging behaviour with particular com- binations of climate (precipitation, temperature), geometry (length, slope) and bed properties (hydraulic conductivity).