Geotechnical centrifuge modelling of crevassing in glaciers and ice sheets

Lead Research Organisation: University of Aberdeen
Department Name: Sch of Geosciences

Abstract

Omitted from the 2007 IPCC Fourth Assessment Report on Climate Change was the potential contribution from ice sheets to global sea level. This reflected the level of uncertainty with respect to the ice dynamics (motion) and mass balance (snow and ice accumulation vs. snow and ice loss) of the extant ice sheets in Greenland and Antarctica. One potential key control on ice dynamics is glacier crevassing which can facilitate the routing of surface melt water to the ice sheet bed leading to increased sliding velocities on outlet glaciers. Additionally, crevassing controls the production of icebergs at marine terminating margins, through which the Greenland Ice Sheet disposes of ~50% and the Antarctic Ice Sheet almost all of their respective annual ice loss. Iceberg production (calving) may be through a combination of both bottom-up and top-down crevassing but atmospheric warming, by increasing the availability of melt water to fill surface crevasses, is likely to be the main driver of change, in the short term at least. Only recently have advances been made in the development of physics-based crevassing/calving relationships with incorporation into predictive numerical models. These advances are vital for improving our predictions for the response of the big ice sheets to future warming. However, only one study to date has tested these physics-based crevassing relationships and then only for shallow water-free crevasses. Given the current research focus on glacier crevassing, there is an urgent need to test crevassing models. To do this in the field is however challenging, due to difficulties of working in crevasse zones of glaciers, measuring the depth of what ultimately ends in a hairline crack at depth and associating the crevasse with the instantaneous stress/strain field. Project Partner DB has a project in preparation to deploy instrumentation for continuous water level monitoring in crevasses on Kronebreen, Svalbard. Geophysical imaging is currently problematic for example signal attenuation on 'warm' temperate glaciers, signal interference from adjacent crevasses in crevasse fields and obtaining the resolution to image the crevasse (crack) tip. Likewise controlling water-depth to force crevasse penetration would present significant challenges for example, the volume of water needed for filling a crevasse or connection with the englacial drainage system leading to water loss etc. Field monitoring of glacier crevassing is thus in its infancy.

A modelling approach therefore represents an ideal way forward. However, lab-floor models are useless because the stresses relevant to crevasse propagation increase as a function of both the self-weight stress (gravity x ice density x ice thickness) and crack length i.e. the crevasse depth. The geotechnical centrifuge is a unique modelling tool which allows the magnitude self weight stresses to be reproduced, with stress equivalence between the prototype (real world) and the model by scaling down the dimensions in the model but 'enhancing' gravity. This is achieved by 'flying' (spinning) the model in the centrifuge such that an Nth scale model flown at N times gravity generates the same self-weight stress as the prototype. Scaling relationships are already established for all the parameters relevant to this study so no scaling issues are anticipated, but the standard modelling of models centrifuge technique will be employed to confirm this. Then a series of models will be run, replicating the stress levels experienced in a prototype glacier section ~50x80x50 m. Pre-cast crevasses will be filled with water to facilitate step-wise full-depth crevasse penetration allowing the current state of the art physics-based models to be tested. This project will provide a proof of concept which will facilitate further grant applications where more complex models (e.g. bottom-up and top-down) can be built and used to test and develop physical models.

Planned Impact

The direct beneficiaries of this research are the glaciological and wider academic communities concerned with understanding climate change, through hindcast (calibrated through reconstructions of landforms, climate etc) and forecast modelling studies. While, as noted in the academic beneficiaries section, this work will contribute to large scale coupled climate models these links are not direct. Therefore, while it will ultimately contribute to research which will come under the notice of policy-makers at national and international levels it would be facetious to suggest a direct contribution.

The academic community will gain access to the results from this project through the normal academic routes: publications in peer review journals and presentations at relevant workshops and conferences. Direct connection with the numerical modelling community comes from the involvement of Project Partner DB (see LoS_1).

The general public undoubtedly has a level of interest in the world's large ice sheets and are fascinated (as are glaciologists) by the calving of large icebergs at marine and lacustrine outlet glaciers. Therefore this project has the opportunity for significant public engagement. However, as we are not doing any field-work per se, the scope is somewhat reduced, none-the-less some opportunities remain. The wider community includes schools (especially those teaching geology or geography at Higher, Advanced Higher and A-level) and the general public. Aberdeen and Dundee both run popular Café Scientifique programmes providing opportunities to enter into dialogue with the general public and where possible advantage will be made of these. Aberdeen's community cafe programme in particular, represents one of the largest initiatives in the UK, featuring eight parallel cafe programmes located in rural areas as well as the city. Aberdeen has an established science festival and open days to which we will offer engagement activities. Resources are limited but we plan to offer a poster and possibly electronic display and simple interactive hands-on experiments i.e. the principles of centrifuge modelling can be demonstrated using salad spinners.

Publications

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Description Essentially this project was a proof of concept which was attempting to apply centrifuge modelling to glacier fracture and crevassing processes for the first time. Some of the model construction and testing procedures had been previously developed but the size of the models to be tested in this project (0.5 x 0.5 x 0.8 m weighting nearly 200 kg) and the enhanced gravity field (100 times gravity) to be used for testing was larger than had previously been attempted. The size of the models to be used resulted in the construction process being significantly longer and more involved than had been originally anticipated. This required multiple visits to Dundee for the PI to build a single model.
That said the the model construction approach was developed through the project and was successful in producing an isotropic ice block which makes a reasonable first order approximation of glacier ice. A commercial ice pellet making machine proved to be ideal for making the granular ice needed for the model construction. The Ice pellets, were filled into the centrifuge strongbox and periodically topped up with chilled water and allowed to freeze. This limited the build-up of internal stresses and pressures within the model which had been a concern. When the model was eventually flow at 100 g it did not fracture confirming the success of the approach. The approach could not avoid the generation of an uneven surface to the ice but is believed to be of minor importance for the overall stress regime.
The casting of a crevasse into the model, as had originally been envisaged, also proved to be more problematic and so alternative approaches were investigated. Drilling a crevasses into the model, once it was fully constructed, proved to be the most effective, time efficient and consistent approach.
During testing in the centrifuge, it had been anticipated that temperature rise in the model would not be a major issue. However, the high rotational speed resulted in significantly greater model warming and ultimately melting than had been anticipated. While this proved useful in that the crevasse remained water filled it did not provide the controlled boundary conditions which were desired. This will be remedied in the future by preventing airflow over the top of the model.
The heating and melt induced by the rotation speed has indicated the need for a new strong box, specifically designed for this type of sub-zero model testing. This was beyond the scope of this proof of concept study. Additionally, a base plate with roughness elements will be used in the future to ensure the model remains immobile on the "bed" once it reaches the pressure melting point.
The time commitment needed for the construction and instrumentation of these large ice models was greater than had been anticipated and it is now apparent that this, and any similar future project would require a dedicated postdoctoral or PhD position.
Exploitation Route Data from the test which was run successfully to completion was analysed following the of the grant period. These results were written up and presented in a report that was submitted in 2019 to NGDC along with the test data. The results in the end were encouraging indicating that there had been three fracture events. The report and data are availbale via the NGDC and we are still considering if the data are of sufficient quality to warrant preparation of a paper.
Sectors Environment