Hyporheic Exchange Driven by Three-Dimensional Sandy Bed Forms: Sensitivity to and Prediction from Bed Form Geometry
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Abstract Theory and experiments indicate that ice–bed separation during glacier slip over 2-D hard beds causes basal shear stress to reach a maximum at a particular slip velocity and decrease at higher velocities. We use the sliding theory of Lliboutry (1968) to explore how friction between debris particles in sliding ice and a rock bed affects this relationship between shear stress and slip velocity. Particle–bed contact forces and associated debris friction increase with increasing slip velocity, owing to increased rates of ice convergence with up-glacier facing surfaces. However, debris friction on diminished areas of the bed counteracts this effect as cavities grow. Thus, friction from debris alone increases only slightly with slip velocity, and for sediment particles larger than ~60 mm in diameter, debris friction peaks and decreases with increasing slip velocity. The effect on the sliding relationship is to steepen its rising limb and shift its shear stress peak to a slightly higher velocity. These results, which exclude the effect of debris friction on cavity size and debris concentrations above ~15%, indicate that the effect of debris in ice is to increase basal shear stress but not significantly change the form of the sliding relationship.more » « less
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null (Ed.)Abstract. The geometry of the sea floor immediately beyondAntarctica's marine-terminating glaciers is a fundamental control onwarm-water routing, but it also describes former topographic pinning pointsthat have been important for ice-shelf buttressing. Unfortunately, thisinformation is often lacking due to the inaccessibility of these areas forsurvey, leading to modelled or interpolated bathymetries being used asboundary conditions in numerical modelling simulations. At Thwaites Glacier(TG) this critical data gap was addressed in 2019 during the first cruise ofthe International Thwaites Glacier Collaboration (ITGC) project. We present more than 2000 km2 of new multibeamecho-sounder (MBES) data acquired in exceptional sea-ice conditionsimmediately offshore TG, and we update existing bathymetric compilations.The cross-sectional areas of sea-floor troughs are under-predicted by up to40 % or are not resolved at all where MBES data are missing, suggesting thatcalculations of trough capacity, and thus oceanic heat flux, may besignificantly underestimated. Spatial variations in the morphology oftopographic highs, known to be former pinning points for the floating iceshelf of TG, indicate differences in bed composition that are supported bylandform evidence. We discuss links to ice dynamics for an overriding icemass including a potential positive feedback mechanism where erosion ofsoft erodible highs may lead to ice-shelf ungrounding even with littleor no ice thinning. Analyses of bed roughnesses and basal drag contributionsshow that the sea-floor bathymetry in front of TG is an analogue for extantbed areas. Ice flow over the sea-floor troughs and ridges would have beenaffected by similarly high basal drag to that acting at the grounding zonetoday. We conclude that more can certainly be gleaned from these 3Dbathymetric datasets regarding the likely spatial variability of bedroughness and bed composition types underneath TG. This work also addressesthe requirements of recent numerical ice-sheet and ocean modelling studiesthat have recognised the need for accurate and high-resolution bathymetry todetermine warm-water routing to the grounding zone and, ultimately, forpredicting glacier retreat behaviour.more » « less
