Modelling the delivery of supraglacial meltwater to the ice/bed interface: application to southwest Devon Ice Cap, Nunavut, Canada

The transfer of surface-generated meltwater to the subglacial drainage system through full ice thickness crevassing may lead to accelerated glacier velocities, with implications for ice motion under future climatic scenarios. Accurate predictions of where surface meltwater accesses the ice/bed interface are therefore needed in fully coupled hydrodynamic ice-sheet models. We present a spatially distributed modelling routine for predicting the location and timing of delivery of surface-derived meltwater to the ice/bed interface through moulins and supraglacial lake drainage. The model is explained as it is applied to the Croker Bay glacial catchment of Devon Ice Cap, Canada. The formation of moulins, drainage of lakes, and the transfer of meltwater through the full ice thickness are modelled for the 2004 and 2006 ablation seasons. Through this case study we assess the model's sensitivity to degree-day factors, fracture toughness, tensile strength and crevasse width, and confirm that parameters influencing the rate at which water fills a crevasse are the most significant controls on the ability of a crevasse to reach the bed. Increased surface melt production, therefore, has the potential to significantly influence the spatial and temporal transfer of meltwater through surface-to-bed connections in a warmer climate.

[1]  G. Clarke,et al.  A multicomponent coupled model of glacier hydrology 2. Application to Trapridge Glacier, Yukon, Canada , 2002 .

[2]  Relating the occurrence of crevasses to surface strain rates , 1993 .

[3]  Regine Hock,et al.  Temperature index melt modelling in mountain areas , 2003 .

[4]  C. J. P. P. Smeets,et al.  Large and Rapid Melt-Induced Velocity Changes in the Ablation Zone of the Greenland Ice Sheet , 2008, Science.

[5]  Harihar Rajaram,et al.  Cryo‐hydrologic warming: A potential mechanism for rapid thermal response of ice sheets , 2010 .

[6]  Jemma L. Wadham,et al.  Supraglacial forcing of subglacial drainage in the ablation zone of the Greenland ice sheet , 2010 .

[7]  Julian B. T. Scott,et al.  Crevasses triggered on Pine Island Glacier, West Antarctica, by drilling through an exceptional melt layer , 2010, Annals of Glaciology.

[8]  M. Sharp,et al.  Thirty-seven year mass balance of Devon Ice Cap, Nunavut, Canada, determined by shallow ice coring and melt modeling , 2005 .

[9]  Jason E. Box,et al.  Remote sounding of Greenland supraglacial melt lakes: implications for subglacial hydraulics , 2007, Journal of Glaciology.

[10]  Robert Bingham,et al.  Intra-annual and intra-seasonal flow dynamics of a High Arctic polythermal valley glacier , 2003, Annals of Glaciology.

[11]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[12]  R. Alley,et al.  Fracture toughness of ice and firn determined from the modified ring test , 1995, Journal of Glaciology.

[13]  Wolfgang Schwanghart,et al.  TopoToolbox: A set of Matlab functions for topographic analysis , 2010, Environ. Model. Softw..

[14]  H. Oerter,et al.  Experimental and theoretical fracture mechanics applied to Antarctic ice fracture and surface crevassing , 1999 .

[15]  Philippe Huybrechts,et al.  Melt-induced speed-up of Greenland ice sheet offset by efficient subglacial drainage , 2011, Nature.

[16]  John Frederick Nye,et al.  The distribution of stress and velocity in glaciers and ice-sheets , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  R. Bindschadler,et al.  Combined measurements of subglacial water pressure and surface velocity of Findelengletscher, Switzerland: conclusions about drainage system and sliding mechanism , 1986 .

[18]  Alun Hubbard,et al.  Seasonal evolution of subglacial drainage and acceleration in a Greenland outlet glacier , 2010 .

[19]  R. Smith The Application of Fracture Mechanics to the Problem of Crevasse Penetration , 1976, Journal of Glaciology.

[20]  G. Flowers A multicomponent coupled model of glacier hydrology , 2000 .

[21]  C. J. van der Veen,et al.  Fracture mechanics approach to penetration of surface crevasses on glaciers , 1998 .

[22]  C. Schoof Ice-sheet acceleration driven by melt supply variability , 2010, Nature.

[23]  Fiona Cawkwell,et al.  Spatial and temporal variability in the snowpack of a High Arctic ice cap: implications for mass-change measurements , 2008, Annals of Glaciology.

[24]  G. Flowers,et al.  A hydrologically coupled higher‐order flow‐band model of ice dynamics with a Coulomb friction sliding law , 2010 .

[25]  Richard B. Alley,et al.  Implications of increased Greenland surface melt under global-warming scenarios: ice-sheet simulations , 2004 .

[26]  Ian Joughin,et al.  Fracture Propagation to the Base of the Greenland Ice Sheet During Supraglacial Lake Drainage , 2008, Science.

[27]  A. U.S CAN A WATER-FILLED CREVASSE REACH THE BOTTOM SURFACE OF A GLACIER? By J. WEERTMAN , 2007 .

[28]  A. Vieli,et al.  Numerical modelling and data assimilation of the Larsen B ice shelf, Antarctic Peninsula , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[29]  Sarah Boon,et al.  Forty-seven Years of Research on the Devon Island Ice Cap, Arctic Canada , 2010 .

[30]  Konrad Steffen,et al.  Surface Melt-Induced Acceleration of Greenland Ice-Sheet Flow , 2002, Science.

[31]  G. Catania,et al.  Characterizing englacial drainage in the ablation zone of the Greenland ice sheet , 2008 .

[32]  C. Veen,et al.  Partitioning of melt energy and meltwater fluxes in the ablation zone of the west Greenland ice sheet , 2008 .

[33]  Julian A. Dowdeswell,et al.  Form and flow of the Devon Island Ice Cap, Canadian Arctic , 2004 .

[34]  Alun Hubbard,et al.  Greenland ice sheet motion coupled with daily melting in late summer , 2009 .

[35]  M. Sharp,et al.  Flow dynamics and iceberg calving rates of Devon Ice Cap, Nunavut, Canada , 2005, Journal of Glaciology.

[36]  Tomoki Nakaya,et al.  Simple DEM-Based Methods to Delineate Channel Networks for Hydrogeomorphological Mapping , 2009, Trans. GIS.