Articles | Volume 11, issue 3
https://doi.org/10.5194/tc-11-1465-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/tc-11-1465-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
28 Jun 2017
Research article |
| 28 Jun 2017
Numerical homogenization of the viscoplastic behavior of snow based on X-ray tomography images
Antoine Wautier
CORRESPONDING AUTHOR
Université Grenoble Alpes, CNRS, Grenoble INP (Institute of Engineering), 3SR, 38000 Grenoble, France
Météo-France – CNRS, CNRM UMR 3589, CEN, 38400 Saint Martin d'Hères, France
now at: AgroParisTech-ENGREF, 19 avenue du Maine, 75732 Paris, France
now at: Irstea UR RECOVER, 3275 Rte Cézanne, CS 40061, 13182 Aix-en-Provence CEDEX 5, France
now at: Université Grenoble Alpes, Irstea, UR ETGR, 2 rue de la Papeterie-BP 76, 38402 St-Martin-d'Hères, France
Christian Geindreau
Université Grenoble Alpes, CNRS, Grenoble INP (Institute of Engineering), 3SR, 38000 Grenoble, France
Frédéric Flin
Météo-France – CNRS, CNRM UMR 3589, CEN, 38400 Saint Martin d'Hères, France
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Lisa Bouvet, Neige Calonne, Frédéric Flin, and Christian Geindreau
The Cryosphere, 18, 4285–4313, https://doi.org/10.5194/tc-18-4285-2024, https://doi.org/10.5194/tc-18-4285-2024, 2024
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Four different macroscopic heat and mass transfer models have been derived for a large range of condensation coefficient values by an upscaling method. A comprehensive evaluation of the models is presented based on experimental datasets and numerical examples. The models reproduce the trend of experimental temperature and density profiles but underestimate the magnitude of the processes. Possible causes of these discrepancies and potential improvements for the models are suggested.
Lisa Bouvet, Neige Calonne, Frédéric Flin, and Christian Geindreau
The Cryosphere, 17, 3553–3573, https://doi.org/10.5194/tc-17-3553-2023, https://doi.org/10.5194/tc-17-3553-2023, 2023
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This study presents two new experiments of temperature gradient metamorphism in a snow layer using tomographic time series and focusing on the vertical extent. The results highlight two little known phenomena: the development of morphological vertical heterogeneities from an initial uniform layer, which is attributed to the temperature range and the vapor pressure distribution, and the quantification of the mass loss at the base caused by the vertical vapor fluxes and the dry lower boundary.
Neige Calonne, Alexis Burr, Armelle Philip, Frédéric Flin, and Christian Geindreau
The Cryosphere, 16, 967–980, https://doi.org/10.5194/tc-16-967-2022, https://doi.org/10.5194/tc-16-967-2022, 2022
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Modeling gas transport in ice sheets from surface to close-off is key to interpreting climate archives. Estimates of the diffusion coefficient and permeability of snow and firn are required but remain a large source of uncertainty. We present a new dataset of diffusion coefficients and permeability from 20 to 120 m depth at two Antarctic sites. We suggest predictive formulas to estimate both properties over the entire 100–850 kg m3 density range, i.e., anywhere within the ice sheet column.
Rémi Granger, Frédéric Flin, Wolfgang Ludwig, Ismail Hammad, and Christian Geindreau
The Cryosphere, 15, 4381–4398, https://doi.org/10.5194/tc-15-4381-2021, https://doi.org/10.5194/tc-15-4381-2021, 2021
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In this study on temperature gradient metamorphism in snow, we investigate the hypothesis that there exists a favourable crystal orientation relative to the temperature gradient. We measured crystallographic orientations of the grains and their microstructural evolution during metamorphism using in situ time-lapse diffraction contrast tomography. Faceted crystals appear during the evolution, and we observe higher sublimation–deposition rates for grains with their c axis in the horizontal plane.
Marie Dumont, Frederic Flin, Aleksey Malinka, Olivier Brissaud, Pascal Hagenmuller, Philippe Lapalus, Bernard Lesaffre, Anne Dufour, Neige Calonne, Sabine Rolland du Roscoat, and Edward Ando
The Cryosphere, 15, 3921–3948, https://doi.org/10.5194/tc-15-3921-2021, https://doi.org/10.5194/tc-15-3921-2021, 2021
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The role of snow microstructure in snow optical properties is only partially understood despite the importance of snow optical properties for the Earth system. We present a dataset combining bidirectional reflectance measurements and 3D images of snow. We show that the snow reflectance is adequately simulated using the distribution of the ice chord lengths in the snow microstructure and that the impact of the morphological type of snow is especially important when ice is highly absorptive.
Pascal Hagenmuller, Frederic Flin, Marie Dumont, François Tuzet, Isabel Peinke, Philippe Lapalus, Anne Dufour, Jacques Roulle, Laurent Pézard, Didier Voisin, Edward Ando, Sabine Rolland du Roscoat, and Pascal Charrier
The Cryosphere, 13, 2345–2359, https://doi.org/10.5194/tc-13-2345-2019, https://doi.org/10.5194/tc-13-2345-2019, 2019
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Light–absorbing particles (LAPs, e.g. dust or black carbon) in snow are a potent climate forcing agent. Their presence darkens the snow surface and leads to higher solar energy absorption. Several studies have quantified this radiative impact by assuming that LAPs were motionless in dry snow, without any clear evidence of this assumption. Using time–lapse X–ray tomography, we show that temperature gradient metamorphism of snow induces downward motion of LAPs, leading to self–cleaning of snow.
N. Calonne, F. Flin, C. Geindreau, B. Lesaffre, and S. Rolland du Roscoat
The Cryosphere, 8, 2255–2274, https://doi.org/10.5194/tc-8-2255-2014, https://doi.org/10.5194/tc-8-2255-2014, 2014
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The Cryosphere, 18, 3453–3470, https://doi.org/10.5194/tc-18-3453-2024, https://doi.org/10.5194/tc-18-3453-2024, 2024
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The Cryosphere, 18, 2613–2623, https://doi.org/10.5194/tc-18-2613-2024, https://doi.org/10.5194/tc-18-2613-2024, 2024
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Matt Trevers, Antony J. Payne, and Stephen L. Cornford
EGUsphere, https://doi.org/10.5194/egusphere-2024-1040, https://doi.org/10.5194/egusphere-2024-1040, 2024
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The form of the friction law which determines the speed of ice sliding over the bedrock remains a major source of uncertainty in ice sheet model projections of future sea level rise. Jakobshavn Isbræ, the fastest flowing glacier in Greenland which has undergone significant changes in the last few decades, is an ideal case for testing sliding laws. We find that a regularised Coulomb friction law reproduces the large seasonal and interannual flow speed variations most accurately.
José M. Muñoz-Hermosilla, Jaime Otero, Eva De Andrés, Kaian Shahateet, Francisco Navarro, and Iván Pérez-Doña
The Cryosphere, 18, 1911–1924, https://doi.org/10.5194/tc-18-1911-2024, https://doi.org/10.5194/tc-18-1911-2024, 2024
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A large fraction of the mass loss from marine-terminating glaciers is attributed to frontal ablation. In this study, we used a 3D ice flow model of a real glacier that includes the effects of calving and submarine melting. Over a 30-month simulation, we found that the model reproduced the seasonal cycle for this glacier. Besides, the front positions were in good agreement with observations in the central part of the front, with longitudinal differences, on average, below 15 m.
Yu Wang, Chen Zhao, Rupert Gladstone, Thomas Zwinger, Ben Galton-Fenzi, and Poul Christoffersen
EGUsphere, https://doi.org/10.5194/egusphere-2024-1005, https://doi.org/10.5194/egusphere-2024-1005, 2024
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Our research delves into the future ice loss in Antarctica’s Wilkes Subglacial Basin (WSB) and its impact on sea level rise, focusing on how basal melt is implemented at the grounding line in ice flow models. According to our best model results, under high-emission scenarios, the WSB ice sheet could undergo massive and rapid retreat between 2200 and 2300, potentially raising global sea levels by up to 0.34 m by 2500.
Alexander H. Jarosch, Paul Hofer, and Christoph Spötl
EGUsphere, https://doi.org/10.5194/egusphere-2024-751, https://doi.org/10.5194/egusphere-2024-751, 2024
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Mechanical damage to stalagmites is commonly observed in mid-latitude caves. In this study we investigate ice flow along the cave bed as a possible mechanism for stalagmite damage. Utilizing models which simulate forces created by ice flow we study the structural integrity of different stalagmite geometries. Our results suggest that structural failure of stalagmites caused by ice flow is possible, albeit unlikely.
Charlotte Durand, Tobias Sebastian Finn, Alban Farchi, Marc Bocquet, Guillaume Boutin, and Einar Ólason
The Cryosphere, 18, 1791–1815, https://doi.org/10.5194/tc-18-1791-2024, https://doi.org/10.5194/tc-18-1791-2024, 2024
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This paper focuses on predicting Arctic-wide sea-ice thickness using surrogate modeling with deep learning. The model has a predictive power of 12 h up to 6 months. For this forecast horizon, persistence and daily climatology are systematically outperformed, a result of learned thermodynamics and advection. Consequently, surrogate modeling with deep learning proves to be effective at capturing the complex behavior of sea ice.
Mathieu Plante, Jean-François Lemieux, L. Bruno Tremblay, Adrienne Tivy, Joey Angnatok, François Roy, Gregory Smith, Frédéric Dupont, and Adrian K. Turner
The Cryosphere, 18, 1685–1708, https://doi.org/10.5194/tc-18-1685-2024, https://doi.org/10.5194/tc-18-1685-2024, 2024
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We use a sea ice model to reproduce ice growth observations from two buoys deployed on coastal sea ice and analyze the improvements brought by new physics that represent the presence of saline liquid water in the ice interior. We find that the new physics with default parameters degrade the model performance, with overly rapid ice growth and overly early snow flooding on top of the ice. The performance is largely improved by simple modifications to the ice growth and snow-flooding algorithms.
Joshua Cuzzone, Matias Romero, and Shaun A. Marcott
The Cryosphere, 18, 1381–1398, https://doi.org/10.5194/tc-18-1381-2024, https://doi.org/10.5194/tc-18-1381-2024, 2024
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We simulate the retreat history of the Patagonian Ice Sheet (PIS) across the Chilean Lake District from 22–10 ka. These results improve our understanding of the response of the PIS to deglacial warming and the patterns of deglacial ice margin retreat where gaps in the geologic record still exist, and they indicate that changes in large-scale precipitation during the last deglaciation played an important role in modulating the response of ice margin change across the PIS to deglacial warming.
Chao-Yuan Yang, Jiping Liu, and Dake Chen
The Cryosphere, 18, 1215–1239, https://doi.org/10.5194/tc-18-1215-2024, https://doi.org/10.5194/tc-18-1215-2024, 2024
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We present a new atmosphere–ocean–wave–sea ice coupled model to study the influences of ocean waves on Arctic sea ice simulation. Our results show (1) smaller ice-floe size with wave breaking increases ice melt, (2) the responses in the atmosphere and ocean to smaller floe size partially reduce the effect of the enhanced ice melt, (3) the limited oceanic energy is a strong constraint for ice melt enhancement, and (4) ocean waves can indirectly affect sea ice through the atmosphere and the ocean.
Yurii Batrak, Bin Cheng, and Viivi Kallio-Myers
The Cryosphere, 18, 1157–1183, https://doi.org/10.5194/tc-18-1157-2024, https://doi.org/10.5194/tc-18-1157-2024, 2024
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Atmospheric reanalyses provide consistent series of atmospheric and surface parameters in a convenient gridded form. In this paper, we study the quality of sea ice in a recently released regional reanalysis and assess its added value compared to a global reanalysis. We show that the regional reanalysis, having a more complex sea ice model, gives an improved representation of sea ice, although there are limitations indicating potential benefits in using more advanced approaches in the future.
Joseph Fogarty, Elie Bou-Zeid, Mitchell Bushuk, and Linette Boisvert
EGUsphere, https://doi.org/10.5194/egusphere-2024-532, https://doi.org/10.5194/egusphere-2024-532, 2024
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We hypothesize that using a broad set of surface characterization metrics for polar sea ice surfaces will lead to more accurate representations in general circulation models – but the first step is to identify that minimum set of metrics. We show via numerical simulations that sea ice surface patterns can play a crucial role in determining boundary-layer structure, then statistically analyze a set of high-resolution sea ice surface images to obtain said minimal set of parameters.
Michael A. Rawlins and Ambarish V. Karmalkar
The Cryosphere, 18, 1033–1052, https://doi.org/10.5194/tc-18-1033-2024, https://doi.org/10.5194/tc-18-1033-2024, 2024
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Flows of water, carbon, and materials by Arctic rivers are being altered by climate warming. We used simulations from a permafrost hydrology model to investigate future changes in quantities influencing river exports. By 2100 Arctic rivers will receive more runoff from the far north where abundant soil carbon can leach in. More water will enter them via subsurface pathways particularly in summer and autumn. An enhanced water cycle and permafrost thaw are changing river flows to coastal areas.
Oreste Marquis, Bruno Tremblay, Jean-François Lemieux, and Mohammed Islam
The Cryosphere, 18, 1013–1032, https://doi.org/10.5194/tc-18-1013-2024, https://doi.org/10.5194/tc-18-1013-2024, 2024
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We developed a standard viscous–plastic sea-ice model based on the numerical framework called smoothed particle hydrodynamics. The model conforms to the theory within an error of 1 % in an idealized ridging experiment, and it is able to simulate stable ice arches. However, the method creates a dispersive plastic wave speed. The framework is efficient to simulate fractures and can take full advantage of parallelization, making it a good candidate to investigate sea-ice material properties.
Sylvie Charbit, Christophe Dumas, Fabienne Maignan, Catherine Ottlé, Nina Raoult, and Xavier Fettweis
EGUsphere, https://doi.org/10.5194/egusphere-2024-285, https://doi.org/10.5194/egusphere-2024-285, 2024
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The evolution of the Greenland ice sheet is highly dependent on surface melting and therefore on the processes operating at the snow-atmosphere interface and within the snow cover. Here we present new developments to apply a snow model to the Greenland ice sheet. The performance of this model is analysed in terms of its ability to simulate ablation processes. Our analysis shows that the model performs well when compared with the MAR regional polar atmospheric model.
Xu Zhou, Binbin Wang, Xiaogang Ma, Zhu La, and Kun Yang
EGUsphere, https://doi.org/10.5194/egusphere-2023-2455, https://doi.org/10.5194/egusphere-2023-2455, 2024
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Simulating the ice phenology of Nam Co by WRF model is investigated. Compared with default model, improving the key model schemes, such as water surface roughness length and the shortwave radiation transfer for lake ice, can better simulate the lake ice phenology. The still existing errors in the spatial patterns of lake ice phenology imply that challenges still exist in modelling key lake and non-lake physics such as grid-scale water circulation, snowfall and snow related processes.
Soňa Tomaškovičová and Thomas Ingeman-Nielsen
The Cryosphere, 18, 321–340, https://doi.org/10.5194/tc-18-321-2024, https://doi.org/10.5194/tc-18-321-2024, 2024
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We present the results of a fully coupled modeling framework for simulating the ground thermal regime using only surface measurements to calibrate the thermal model. The heat conduction model is forced by surface ground temperature measurements and calibrated using the field measurements of time lapse apparent electrical resistivity. The resistivity-calibrated thermal model achieves a performance comparable to the traditional calibration of borehole temperature measurements.
Yan Huang, Liyun Zhao, Michael Wolovick, Yiliang Ma, and John C. Moore
The Cryosphere, 18, 103–119, https://doi.org/10.5194/tc-18-103-2024, https://doi.org/10.5194/tc-18-103-2024, 2024
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Geothermal heat flux (GHF) is an important factor affecting the basal thermal environment of an ice sheet and crucial for its dynamics. But it is poorly defined for the Antarctic ice sheet. We simulate the basal temperature and basal melting rate with eight different GHF datasets. We use specularity content as a two-sided constraint to discriminate between local wet or dry basal conditions. Two medium-magnitude GHF distribution maps rank well, showing that most of the inland bed area is frozen.
Cecile B. Menard, Sirpa Rasmus, Ioanna Merkouriadi, Gianpaolo Balsamo, Annett Bartsch, Chris Derksen, Florent Domine, Marie Dumont, Dorothee Ehrich, Richard Essery, Bruce C. Forbes, Gerhard Krinner, David Lawrence, Glen Liston, Heidrun Matthes, Nick Rutter, Melody Sandells, Martin Schneebeli, and Sari Stark
EGUsphere, https://doi.org/10.5194/egusphere-2023-2926, https://doi.org/10.5194/egusphere-2023-2926, 2024
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Computer models, like those used in climate change studies, are written by modelers who have to decide how best to construct the models in order to satisfy the purpose they serve. Using snow modeling as an example, we examine the process behind the decisions to understand what motivates or limits modelers in their decision-making. We found that the context in which research is undertaken is often more crucial than scientific limitations. We argue for more transparency into our research practice.
Amir Sedaghatkish, Frédéric Doumenc, Pierre-Yves Jeannin, and Marc Luetscher
EGUsphere, https://doi.org/10.5194/egusphere-2023-2349, https://doi.org/10.5194/egusphere-2023-2349, 2024
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We developed a model to simulate the natural convection of water within frozen rock crevices subject to daily warming in mountain permafrost regions. Traditional models relying on conduction and latent heat flux typically overlook the free convection. The results reveal that free convection can significantly accelerate the melting rate by an order of magnitude higher than conduction-based models. Our results are important for assessing the impact of climate change on mountain infrastructures.
Matthew Drew and Lev Tarasov
The Cryosphere, 17, 5391–5415, https://doi.org/10.5194/tc-17-5391-2023, https://doi.org/10.5194/tc-17-5391-2023, 2023
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The interaction of fast-flowing regions of continental ice sheets with their beds governs how quickly they slide and therefore flow. The coupling of fast ice to its bed is controlled by the pressure of meltwater at its base. It is currently poorly understood how the physical details of these hydrologic systems affect ice speedup. Using numerical models we find, surprisingly, that they largely do not, except for the duration of the surge. This suggests that cheap models are sufficient.
Giulia Mazzotti, Jari-Pekka Nousu, Vincent Vionnet, Tobias Jonas, Rafife Nheili, and Matthieu Lafaysse
EGUsphere, https://doi.org/10.5194/egusphere-2023-2781, https://doi.org/10.5194/egusphere-2023-2781, 2023
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As many boreal and alpine forests have seasonal snow, models are needed to predict forest snow under future environmental conditions. We have created a new forest snow model by combining existing, very detailed model components for the canopy and the snowpack. We applied it to forests in Switzerland and Finland and showed how complex forest cover leads to a snowpack layering that is very variable in space and time, because different processes prevail at different locations in the forest.
Abhay Prakash, Qin Zhou, Tore Hattermann, and Nina Kirchner
The Cryosphere, 17, 5255–5281, https://doi.org/10.5194/tc-17-5255-2023, https://doi.org/10.5194/tc-17-5255-2023, 2023
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Sea ice arch formation in the Nares Strait has shielded the Petermann Glacier ice shelf from enhanced basal melting. However, with the sustained decline of the Arctic sea ice predicted to continue, the ice shelf is likely to be exposed to a year-round mobile and thin sea ice cover. In such a scenario, our modelled results show that elevated temperatures, and more importantly, a stronger ocean circulation in the ice shelf cavity, could result in up to two-thirds increase in basal melt.
Michael Wolovick, Angelika Humbert, Thomas Kleiner, and Martin Rückamp
The Cryosphere, 17, 5027–5060, https://doi.org/10.5194/tc-17-5027-2023, https://doi.org/10.5194/tc-17-5027-2023, 2023
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The friction underneath ice sheets can be inferred from observed velocity at the top, but this inference requires smoothing. The selection of smoothing has been highly variable in the literature. Here we show how to rigorously select the best smoothing, and we show that the inferred friction converges towards the best knowable field as model resolution improves. We use this to learn about the best description of basal friction and to formulate recommended best practices for other modelers.
Oliver G. Pollard, Natasha L. M. Barlow, Lauren J. Gregoire, Natalya Gomez, Víctor Cartelle, Jeremy C. Ely, and Lachlan C. Astfalck
The Cryosphere, 17, 4751–4777, https://doi.org/10.5194/tc-17-4751-2023, https://doi.org/10.5194/tc-17-4751-2023, 2023
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We use advanced statistical techniques and a simple ice-sheet model to produce an ensemble of plausible 3D shapes of the ice sheet that once stretched across northern Europe during the previous glacial maximum (140,000 years ago). This new reconstruction, equivalent in volume to 48 ± 8 m of global mean sea-level rise, will improve the interpretation of high sea levels recorded from the Last Interglacial period (120 000 years ago) that provide a useful perspective on the future.
Juditha Aga, Julia Boike, Moritz Langer, Thomas Ingeman-Nielsen, and Sebastian Westermann
The Cryosphere, 17, 4179–4206, https://doi.org/10.5194/tc-17-4179-2023, https://doi.org/10.5194/tc-17-4179-2023, 2023
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This study presents a new model scheme for simulating ice segregation and thaw consolidation in permafrost environments, depending on ground properties and climatic forcing. It is embedded in the CryoGrid community model, a land surface model for the terrestrial cryosphere. We describe the model physics and functionalities, followed by a model validation and a sensitivity study of controlling factors.
Thomas Frank, Ward J. J. van Pelt, and Jack Kohler
The Cryosphere, 17, 4021–4045, https://doi.org/10.5194/tc-17-4021-2023, https://doi.org/10.5194/tc-17-4021-2023, 2023
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Since the ice thickness of most glaciers worldwide is unknown, and since it is not feasible to visit every glacier and observe their thickness directly, inverse modelling techniques are needed that can calculate ice thickness from abundant surface observations. Here, we present a new method for doing that. Our methodology relies on modelling the rate of surface elevation change for a given glacier, compare this with observations of the same quantity and change the bed until the two are in line.
Ronja Reese, Julius Garbe, Emily A. Hill, Benoît Urruty, Kaitlin A. Naughten, Olivier Gagliardini, Gaël Durand, Fabien Gillet-Chaulet, G. Hilmar Gudmundsson, David Chandler, Petra M. Langebroek, and Ricarda Winkelmann
The Cryosphere, 17, 3761–3783, https://doi.org/10.5194/tc-17-3761-2023, https://doi.org/10.5194/tc-17-3761-2023, 2023
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We use an ice sheet model to test where current climate conditions in Antarctica might lead. We find that present-day ocean and atmosphere conditions might commit an irreversible collapse of parts of West Antarctica which evolves over centuries to millennia. Importantly, this collapse is not irreversible yet.
Emily A. Hill, Benoît Urruty, Ronja Reese, Julius Garbe, Olivier Gagliardini, Gaël Durand, Fabien Gillet-Chaulet, G. Hilmar Gudmundsson, Ricarda Winkelmann, Mondher Chekki, David Chandler, and Petra M. Langebroek
The Cryosphere, 17, 3739–3759, https://doi.org/10.5194/tc-17-3739-2023, https://doi.org/10.5194/tc-17-3739-2023, 2023
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The grounding lines of the Antarctic Ice Sheet could enter phases of irreversible retreat or advance. We use three ice sheet models to show that the present-day locations of Antarctic grounding lines are reversible with respect to a small perturbation away from their current position. This indicates that present-day retreat of the grounding lines is not yet irreversible or self-enhancing.
Huy Dinh, Dimitrios Giannakis, Joanna Slawinska, and Georg Stadler
The Cryosphere, 17, 3883–3893, https://doi.org/10.5194/tc-17-3883-2023, https://doi.org/10.5194/tc-17-3883-2023, 2023
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We develop a numerical method to simulate the fracture in kilometer-sized chunks of floating ice in the ocean. Our approach uses a mathematical model that balances deformation energy against the energy required for fracture. We study the strength of ice chunks that contain random impurities due to prior damage or refreezing and what types of fractures are likely to occur. Our model shows that crack direction critically depends on the orientation of impurities relative to surrounding forces.
René R. Wijngaard, Adam R. Herrington, William H. Lipscomb, Gunter R. Leguy, and Soon-Il An
The Cryosphere, 17, 3803–3828, https://doi.org/10.5194/tc-17-3803-2023, https://doi.org/10.5194/tc-17-3803-2023, 2023
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We evaluate the ability of the Community Earth System Model (CESM2) to simulate cryospheric–hydrological variables, such as glacier surface mass balance (SMB), over High Mountain Asia (HMA) by using a global grid (~111 km) with regional refinement (~7 km) over HMA. Evaluations of two different simulations show that climatological biases are reduced, and glacier SMB is improved (but still too negative) by modifying the snow and glacier model and using an updated glacier cover dataset.
Brian Groenke, Moritz Langer, Jan Nitzbon, Sebastian Westermann, Guillermo Gallego, and Julia Boike
The Cryosphere, 17, 3505–3533, https://doi.org/10.5194/tc-17-3505-2023, https://doi.org/10.5194/tc-17-3505-2023, 2023
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It is now well known from long-term temperature measurements that Arctic permafrost, i.e., ground that remains continuously frozen for at least 2 years, is warming in response to climate change. Temperature, however, only tells half of the story. In this study, we use computer modeling to better understand how the thawing and freezing of water in the ground affects the way permafrost responds to climate change and what temperature trends can and cannot tell us about how permafrost is changing.
Yukihiko Onuma, Koji Fujita, Nozomu Takeuchi, Masashi Niwano, and Teruo Aoki
The Cryosphere, 17, 3309–3328, https://doi.org/10.5194/tc-17-3309-2023, https://doi.org/10.5194/tc-17-3309-2023, 2023
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We established a novel model that simulates the temporal changes in cryoconite hole (CH) depth using heat budgets calculated independently at the ice surface and CH bottom based on hole shape geometry. The simulations suggest that CH depth is governed by the balance between the intensity of the diffuse component of downward shortwave radiation and the wind speed. The meteorological conditions may be important factors contributing to the recent ice surface darkening via the redistribution of CHs.
Max Thomas, Briana Cate, Jack Garnett, Inga J. Smith, Martin Vancoppenolle, and Crispin Halsall
The Cryosphere, 17, 3193–3201, https://doi.org/10.5194/tc-17-3193-2023, https://doi.org/10.5194/tc-17-3193-2023, 2023
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A recent study showed that pollutants can be enriched in growing sea ice beyond what we would expect from a perfectly dissolved chemical. We hypothesise that this effect is caused by the specific properties of the pollutants working in combination with fluid moving through the sea ice. To test our hypothesis, we replicate this behaviour in a sea-ice model and show that this type of modelling can be applied to predicting the transport of chemicals with complex behaviour in sea ice.
Tobias Sebastian Finn, Charlotte Durand, Alban Farchi, Marc Bocquet, Yumeng Chen, Alberto Carrassi, and Véronique Dansereau
The Cryosphere, 17, 2965–2991, https://doi.org/10.5194/tc-17-2965-2023, https://doi.org/10.5194/tc-17-2965-2023, 2023
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We combine deep learning with a regional sea-ice model to correct model errors in the sea-ice dynamics of low-resolution forecasts towards high-resolution simulations. The combined model improves the forecast by up to 75 % and thereby surpasses the performance of persistence. As the error connection can additionally be used to analyse the shortcomings of the forecasts, this study highlights the potential of combined modelling for short-term sea-ice forecasting.
Philipp de Vrese, Goran Georgievski, Jesus Fidel Gonzalez Rouco, Dirk Notz, Tobias Stacke, Norman Julius Steinert, Stiig Wilkenskjeld, and Victor Brovkin
The Cryosphere, 17, 2095–2118, https://doi.org/10.5194/tc-17-2095-2023, https://doi.org/10.5194/tc-17-2095-2023, 2023
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The current generation of Earth system models exhibits large inter-model differences in the simulated climate of the Arctic and subarctic zone. We used an adapted version of the Max Planck Institute (MPI) Earth System Model to show that differences in the representation of the soil hydrology in permafrost-affected regions could help explain a large part of this inter-model spread and have pronounced impacts on important elements of Earth systems as far to the south as the tropics.
Xia Lin, François Massonnet, Thierry Fichefet, and Martin Vancoppenolle
The Cryosphere, 17, 1935–1965, https://doi.org/10.5194/tc-17-1935-2023, https://doi.org/10.5194/tc-17-1935-2023, 2023
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This study provides clues on how improved atmospheric reanalysis products influence sea ice simulations in ocean–sea ice models. The summer ice concentration simulation in both hemispheres can be improved with changed surface heat fluxes. The winter Antarctic ice concentration and the Arctic drift speed near the ice edge and the ice velocity direction simulations are improved with changed wind stress. The radiation fluxes and winds in atmospheric reanalyses are crucial for sea ice simulations.
Guillaume Boutin, Einar Ólason, Pierre Rampal, Heather Regan, Camille Lique, Claude Talandier, Laurent Brodeau, and Robert Ricker
The Cryosphere, 17, 617–638, https://doi.org/10.5194/tc-17-617-2023, https://doi.org/10.5194/tc-17-617-2023, 2023
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Sea ice cover in the Arctic is full of cracks, which we call leads. We suspect that these leads play a role for atmosphere–ocean interactions in polar regions, but their importance remains challenging to estimate. We use a new ocean–sea ice model with an original way of representing sea ice dynamics to estimate their impact on winter sea ice production. This model successfully represents sea ice evolution from 2000 to 2018, and we find that about 30 % of ice production takes place in leads.
Edoardo Raparelli, Paolo Tuccella, Valentina Colaiuda, and Frank S. Marzano
The Cryosphere, 17, 519–538, https://doi.org/10.5194/tc-17-519-2023, https://doi.org/10.5194/tc-17-519-2023, 2023
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We evaluate the skills of a single-layer (Noah) and a multi-layer (Alpine3D) snow model, forced with the Weather Research and Forecasting model, to reproduce snowpack properties observed in the Italian central Apennines. We found that Alpine3D reproduces the observed snow height and snow water equivalent better than Noah, while no particular model differences emerge on snow cover extent. Finally, we observed that snow settlement is mainly due to densification in Alpine3D and to melting in Noah.
Aleksandr Montelli and Jonathan Kingslake
The Cryosphere, 17, 195–210, https://doi.org/10.5194/tc-17-195-2023, https://doi.org/10.5194/tc-17-195-2023, 2023
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Thermal modelling and Bayesian inversion techniques are used to evaluate the uncertainties inherent in inferences of ice-sheet evolution from borehole temperature measurements. We show that the same temperature profiles may result from a range of parameters, of which geothermal heat flux through underlying bedrock plays a key role. Careful model parameterisation and evaluation of heat flux are essential for inferring past ice-sheet evolution from englacial borehole thermometry.
Jianting Zhao, Lin Zhao, Zhe Sun, Fujun Niu, Guojie Hu, Defu Zou, Guangyue Liu, Erji Du, Chong Wang, Lingxiao Wang, Yongping Qiao, Jianzong Shi, Yuxin Zhang, Junqiang Gao, Yuanwei Wang, Yan Li, Wenjun Yu, Huayun Zhou, Zanpin Xing, Minxuan Xiao, Luhui Yin, and Shengfeng Wang
The Cryosphere, 16, 4823–4846, https://doi.org/10.5194/tc-16-4823-2022, https://doi.org/10.5194/tc-16-4823-2022, 2022
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Permafrost has been warming and thawing globally; this is especially true in boundary regions. We focus on the changes and variability in permafrost distribution and thermal dynamics in the northern limit of permafrost on the Qinghai–Tibet Plateau (QTP) by applying a new permafrost model. Unlike previous papers on this topic, our findings highlight a slow, decaying process in the response of permafrost in the QTP to a warming climate, especially regarding areal extent.
Jeremy Rohmer, Remi Thieblemont, Goneri Le Cozannet, Heiko Goelzer, and Gael Durand
The Cryosphere, 16, 4637–4657, https://doi.org/10.5194/tc-16-4637-2022, https://doi.org/10.5194/tc-16-4637-2022, 2022
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To improve the interpretability of process-based projections of the sea-level contribution from land ice components, we apply the machine-learning-based
SHapley Additive exPlanationsapproach to a subset of a multi-model ensemble study for the Greenland ice sheet. This allows us to quantify the influence of particular modelling decisions (related to numerical implementation, initial conditions, or parametrisation of ice-sheet processes) directly in terms of sea-level change contribution.
Cited articles
Abouaf, M.: Modélisation de la compaction de poudres métalliques frittées, PhD thesis, USMG-INP, Grenoble, France, 1985.
Abouaf, M. and Chenot, J.: Finite element simulation of hot isostatic pressing of metal powders, Int. J. Numer. Meth. Eng., 25, 191–212, 1988.
Adams, E. E. and Walters, D. J.: Fine structure layering in radiation recrystallized snow, in: International Snow Science Workshop 2014 Proceedings, 29 September–3 October 2014, Banff, Canada, 29–34, ISSW, 2014.
Auriault, J.-L., Bouvard, D., Dellis, C., and Lafer, M.: Modeling of hot compaction of metal powder by homogenization, Mech. Mater., 13, 247–275, 1992.
Auriault, J.-L., Royer, P., and Geindreau, C.: Filtration law for power law fluids in anisotropic media, Int. J. Eng. Sci., 40, 1151–1163, 2002.
Auriault, J.-L., Boutin, C., and Geindreau, C.: Homogenization of coupled phenomena in heterogenous media, vol. 149, John Wiley & Sons, London, UK, 2010.
Bartelt, P. and von Moos, M.: Triaxial tests to determine a microstructure-based snow viscosity law, Ann. Glaciol., 31, 457–462, 2000.
Boehler, J.: Lois de comportement anisotrope des milieux continus, J. Mécanique, 17, 153–190, 1978.
Brzoska, J.-B., Coléou, C., Lesaffre, B., Borel, S., Brissaud, O., Ludwig, W., Boller, E., and Baruchel, J.: 3D visualization of snow samples by microtomography at low temperature, ESRF Newsletter, 32, 22–23, 1999.
Burr, A., Philip, A., and Martin, C.: Etude expérimentale de la déformation viscoplastique de cylindres monocristallins de glace, in: Plasticité 2015, 28–30 April 2015, Autrans, France, 2015a.
Burr, A., Trecourt, P., Philip, A., and Martin, C.: Densification of firn using the Discrete Element Method, in: ESMC 2015, 9th European Solid Mechanics Conference, 6–10 July 2015, Madrid, Spain, 2015b.
Burr, A., Noël, W., Trecourt, P., Bourcier, M., Gillet-Chaulet, F., Philip, A., and Martin, C. L.: The anisotropic contact response of viscoplastic monocrystalline ice particles, Acta Mater., 132, 576–585, 2017.
Calonne, N., Geindreau, C., Flin, F., Morin, S., Lesaffre, B., Rolland du Roscoat, S., and Charrier, P.: 3-D image-based numerical computations of snow permeability: links to specific surface area, density, and microstructural anisotropy, The Cryosphere, 6, 939–951, https://doi.org/10.5194/tc-6-939-2012, 2012.
Calonne, N., Flin, F., Geindreau, C., Lesaffre, B., and Rolland du Roscoat, S.: Study of a temperature gradient metamorphism of snow from 3-D images: time evolution of microstructures, physical properties and their associated anisotropy, The Cryosphere, 8, 2255–2274, https://doi.org/10.5194/tc-8-2255-2014, 2014.
Calonne, N., Flin, F., Lesaffre, B., Dufour, A., Roulle, J., Puglièse, P., Philip, A., Lahoucine, F., Geindreau, C., Panel, J.-M., Rolland du Roscoat, S., and Charrier, P.: CellDyM: A room temperature operating cryogenic cell for the dynamic monitoring of snow metamorphism by time-lapse X-ray microtomography, Geophys. Res. Lett., 42, 3911–3918, https://doi.org/10.1002/2015GL063541, 2015.
Chandel, C., Srivastava, P. K., and Mahajan, P.: Micromechanical analysis of deformation of snow using X-ray tomography, Cold Reg. Sci. Technol., 101, 14–23, 2014.
Chen, S. and Baker, I.: Evolution of individual snowflakes during metamorphism, J. Geophys. Res., 115, D21114, https://doi.org/10.1029/2010JD014132, 2010.
Cresseri, S. and Jommi, C.: Snow as elastic viscoplastic bonded continuum: a modelling approach, Rivista Italiana Di Geotecnica, 4, 43–58, 2005.
Cresseri, S., Genna, F., and Jommi, C.: Numerical integration of an elastic-viscoplastic constitutive model for dry metamorphosed snow, Int. J. Numer. Anal. Met., 34, 1271–1296, 2009.
Danas, K., Idiart, M., and Ponte Casteneda, P.: A homogenization-based constitutive model for isotropic viscoplastic porous media, Int. J. Solids Struct., 45, 3392–3409, 2008.
Desrues, J., Darve, F., Flavigny, E., Navarre, J., and Taillefer, A.: An incremental formulation of constitutive equations for deposited snow, J. Glaciol., 25, 289–307, 1980.
Dormieux, L. and Bourgeois, E.: Introduction à la micromécanique des milieux poreux, Presses de l'École nationale des ponts et chaussées, Paris, France, 2002.
Duva, J. and Crow, P.: The densification of powders by power-law creep during hot isostatic pressing, Acta Metall. Mater., 40, 31–35, 1992.
Fang, Q. and Boas, D. A.: Tetrahedral mesh generation from volumetric binary and grayscale images, in: ISBI'09. IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2009, 28 June–1 July 2009, Melbourne, Australia, 1142–1145, IEEE, available at: http://iso2mesh.sourceforge.net/cgi-bin/index.cgi (last access: 20 June 2017), 2009.
Fierz, C., Armstrong, R. L., Durand, Y., Etchevers, P., Greene, E., McClung, D. M., Nishimura, K., Satyawali, P. K., and Sokratov, S. A.: The International Classification for Seasonal Snow on the Ground, UNESCO/IHP, Paris, France, 2009.
Flin, F. and Brzoska, J.-B.: The temperature-gradient metamorphism of snow: vapour diffusion model and application to tomographic images, Ann. Glaciol., 49, 17–21, 2008.
Fritzen, F., Forest, S., Bohlke, T., Kondo, D., and Kanit, T.: Computational homogenization of elasto-plastic porous metals, Int. J. Plasticity, 29, 102–119, 2012.
Geindreau, C. and Auriault, J.-L.: Investigation of the mechanical behaviour of alloys in the semi-solid state by homogenization, Mech. Mater., 31, 535–551, 1999.
Geindreau, C., Bouvard, D., and Doremus, P.: Constitutive behaviour of metal powder during hot forming. Part I: experimental investigation with lead powder as a simulation material, Eur. J. Mech. A-Solids, 18, 581–596, 1999a.
Geindreau, C., Bouvard, D., and Doremus, P.: Constitutive behaviour of metal powder during hot forming.: Part II: Unified viscoplastic modelling, Eur. J. Mech. A-Solids, 18, 597–615, 1999b.
Green, R.: A plasticity theory for porous solids, Int. J. Mech. Sci., 14, 215–224, 1972.
Hagenmuller, P., Theile, T. C., and Schneebeli, M.: Numerical simulation of microstructural damage and tensile strength of snow, Geophys. Res. Lett., 41, 86–89, https://doi.org/10.1002/2013GL058078, 2014.
Hagenmuller, P., Chambon, G., and Naaim, M.: Microstructure-based modeling of snow mechanics: a discrete element approach, The Cryosphere, 9, 1969–1982, https://doi.org/10.5194/tc-9-1969-2015, 2015.
Hansen, A. C., Blackketter, D. M., and Walrath, D. E.: An invariant-based flow rule for anisotropic plasticity applied to composite materials, J. Appl. Mech., 58, 881–888, https://doi.org/10.1115/1.2897701, 1991.
Johnson, J. B. and Hopkins, M. A.: Identifying microstructural deformation mechanisms in snow using discrete element modeling, J. Glaciol., 51, 432–442, 2005.
Kaempfer, T. U., Schneebeli, M., and Sokratov, S.: A microstructural approach to model heat transfer in snow, Geophys. Res. Lett., 32, L21503, https://doi.org/10.1029/2005GL023873, 2005.
Kanit, T., Forest, S., Galliet, I., Mounoury, V., and Jeulin, D.: Determination of the size of the representative volume element for random composites: statistical and numerical approach, Int. J. Solids Struct., 40, 3647–3679, 2003.
Köchle, B. and Schneebeli, M.: Three-dimensional microstructure and numerical calculation of elastic properties of alpine snow with a focus on weak layers, J. Glaciol., 60, 705–713, 2014.
Lejeunes, S. and Bourgeois, S.: Une Toolbox Abaqus pour le calcul de propriétés effectives de milieux hétérogènes, in: 10e colloque national en calcul des structures (CSMA 2011), 9–13 May 2011, Presqu'île de Giens, France, available at: http://www.lma.cnrs-mrs.fr/spip.php?article171 (last access: 20 June 2017), 2011.
Lemaitre, J. and Chaboche, J.-L.: Mécanique des Matériaux Solides, Dunod, Paris, France, 1985.
Liu, I.-S.: On representations of anisotropic invariants, International Journal of Engineering Science, 20, 1099–1109, 1982.
Löwe, H., Riche, F., and Schneebeli, M.: A general treatment of snow microstructure exemplified by an improved relation for thermal conductivity, The Cryosphere, 7, 1473–1480, https://doi.org/10.5194/tc-7-1473-2013, 2013.
Mede, T., Chambon, G., Hagenmuller, P., and Nicot, F.: Mechanical behaviour of weak snow layers: modelling a porous structure of sintered grains, Powder and grains 2017 – 8th International Conference on Micromechanics of Granular Media, 3–7 July 2017, Montpellier, France, https://doi.org/10.1051/epjconf/201714006008, 2017.
Mellor, M.: A review of basic snow mechanics, US Army Cold Regions Research and Engineering Laboratory, Snow mechanics Symposium, April 1974, Grindelwald, Switzerland, 1974.
Moos, M. V., Bartelt, P. A., Zweidler, A., and Bleiker, E.: Triaxial tests on snow at low strain rate. Part I: Experimental device, J. Glaciol., 49, 81–90, 2003.
Narita, H.: An experimental study on tensile fracture of snow, Contributions from the institute of Low Temperature Science, 32, 1–37, 1984.
Navarre, J. P., Meyssonnier, J., and Vagnon, A.: 3D numerical model of snow deformation without failure and its application to cold room mechanical tests, Cold Reg. Sci. Technol., 50, 3–12, 2007.
Orgéas, L., Geindreau, C., Auriault, J.-L., and Bloch, J.-F.: Upscaling the flow of generalised Newtonian fluids through anisotropic porous media, J. Non-Newton. Fluid, 145, 15–29, 2007.
Pieritz, R. A., Brzoska, J.-B., Flin, F., Lesaffre, B., and Coléou, C.: From snow X-ray microtomograph raw volume data to micromechanics modeling: first results, Ann. Glaciol., 38, 52–58, https://doi.org/10.3189/172756404781815176, 2004.
Pinzer, B. R., Schneebeli, M., and Kaempfer, T. U.: Vapor flux and recrystallization during dry snow metamorphism under a steady temperature gradient as observed by time-lapse micro-tomography, The Cryosphere, 6, 1141–1155, https://doi.org/10.5194/tc-6-1141-2012, 2012.
Rolland du Roscoat, S., King, S., Philip, A., Reischig, A., Ludwig, P., Flin, F., and Meysonnier, J.: Analysis of snow microstructure by means of X-ray diffraction contrast tomography, Adv. Eng. Mater., 13, 128–135, 2011.
Salm, B.: Mechanical properties of snow, Rev. Geophys., 20, 1–19, 1982.
Sanchez, L., Ouedraogo, E., Federzoni, L., and Stutz, P.: New viscoplastic model to simulate hot isostatic pressing, Powder Metall., 45, 329–334, 2002.
Scapozza, C. and Bartelt, P.: Triaxial tests on snow at low strain rate. Part II. Constitutive behaviour, J. Glaciol., 49, 91–101, 2003.
Schleef, S., Löwe, H., and Schneebeli, M.: Hot-pressure sintering of low-density snow analyzed by X-ray microtomography and in situ microcompression, Acta Mater., 71, 185–194, 2014.
Schneebeli, M.: Numerical simulation of elastic stress in the microstructure of snow, Ann. Glaciol., 38, 339–342, 2004.
Schulson, E. M. and Duval, P.: Creep and fracture of ice, Cambridge University Press, Cambridge, UK, 2009.
Schweizer, J. and Camponovo, C.: The temperature dependence of the effective elastic shear modulus of snow, Cold Reg. Sci. Technol., 35, 55–64, 2002.
Scopozza, C. and Bartelt, P. A.: The influence of temperature on the small strain viscous deformation mechanics of snow: comparison with polycrystalline ice, Ann. Glaciol., 37, 90–96, 2003a.
Scopozza, C. and Bartelt, P. A.: Triaxial tests on snow at low strain rate. Part II: Constitutive modelling, J. Glaciol., 49, 91–101, 2003b.
Shapiro, L. H., Johnson, J. B., Sturm, M., and Blaisdell, G. L.: Snow mechanics: review of the state of knowledge and applications applications (No. CRREL-97-3), Cold Regions Research And Engineering Lab, Hanover, NH, USA, 1997.
Smith, G.: On Isotropic Functions of Symmetric Tensors Skew-Symmetric Tensors and Vectors, Int. J. Eng. Sci., 9, 899–916, 1971.
Sofronis, P. and McMeeking, R.: Creep of power-law material containing spherical voids, J. Appl. Mech., 59, S88–S95, 1992.
Srivastava, P., Mahajan, P., Satyawali, P., and Kumar, V.: Observation of temperature gradient metamorphism in snow by X-ray computed microtomography: measurement of microstructure parameters and simulation of linear elastic properties, Ann. Glaciol., 51, 73–82, 2010.
Srivastava, P. K., Chandel, C., Mahajan, P., and Pankaj, P.: Prediction of anisotropic elastic properties of snow from its microstructure, Cold Reg. Sci. Technol., 125, 85–100, 2016.
Storakers, B., Fleck, N. A., and McMeeking, R. M.: The viscoplastic compaction of composite powders, J. Mech. Phys. Solids, 47, 785–815, 1999.
Suquet, P.: Overall potentials and extremal surfaces of power law or ideally plastic composites, J. Mech. Phys. Solids, 41, 981–1002, 1993.
Theile, T., Lowe, H., Theile, T. C., and Schneebeli, M.: Simulating creep of snow based on microstructure and anisotropic deformation of ice, Acta Mater., 59, 7104–7113, 2011.
Viot, P. and Stutz, P.: Nouveau dispositif expérimental pour l'étude du comportement viscoplastique des poudres métalliques à hautes températures: application à une poudre de cuivre, C. R. Mecanique, 330, 653–659, 2002.
Wang, X. and Baker, I.: Observation of the microstructural evolution of snow under uniaxial compression using X-ray computed microtomography, J. Geophys. Res.-Atmos., 118, 12–371, 2013.
Wautier, A., Geindreau, C., and Flin, F.: Linking snow microstructure to its macroscopic elastic stiffness tensor: A numerical homogenization method and its application to 3-D images from X-ray tomography, Geophys. Res. Lett., 42, 8031–8041, https://doi.org/10.1002/2015GL065227, 2015.
Short summary
The results shown in the present paper consist in predicting the overall viscous behavior of snow from the sole knowledge of the microstructure and the ice viscous behavior.
This is done thanks to multi-scale modeling techniques and an original approach is used to handle the nonlinearity of the ice behavior.
An application of the developed formulation can be found in the simulation of the densification of the snowpack in order to enhance avalanche risk forecasting.
The results shown in the present paper consist in predicting the overall viscous behavior of...
