Skip to main content Accessibility help
×
Home

Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions

  • Frédéric Flin (a1), Jean-Bruno Brzoska (a1), Bernard Lesaffre (a1), Cécile Coléou (a1) and Romeu André Pieritz (a1)...

Abstract

Snow, from its fall until its full melting, undergoes a structural metamorphism that is governed by temperature and humidity fields. Among the many possible mechanisms that contribute to snow metamorphism, those that depend only on curvature are the most accessible to modelling. In this paper, techniques of volume data analysis adapted to the complex geometry of snow are introduced and then applied to experimental tomographic data coming from the isothermal metamorphism of snow near 0°C. In particular, an adaptive algorithm of curvature computation is described. Present results on the evolution of specific surface area and anisotropy already show that such image-analysis methods are relevant tools for the characterization of real snow microstructures. Moreover, the evolution of the curvature distribution with time provides valuable information for the development of sintering models, in the same way as a possible quantitative calibration of snow-grain coarsening laws.

  • View HTML
    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Three-dimensional geometric measurements of snow microstructural evolution under isothermal conditions
      Available formats
      ×

Copyright

References

Hide All
Adams, E. E., Miller, D.A. and Brown, R. L.. 2001. Grain boundary ridge on sintered bonds between ice crystals. J. Appl. Phys., 90(11), 5782–5785.
Adamson, A.W. 1990. Physical chemistry of surfaces. Fifth edition. NewYork, etc, John Wiley and Sons.
Bartelt, P. and Lehning, M.. 2002. A physical SNOWPACK model for the Swiss avalanche warning. Part I. Numerical model. Cold Reg. Sci. Technol., 35(3), 123–145.
Bernache-Assolant, D. 1993. Chimie-physique du frittage. Paris, Edition Hermés.
Borgefors, G. 1986. Distance transformations in digital images. Computer Vision, Graphics and Image Processing, 34(3), 344–371.
Brown, R. L., Edens, M.Q. and Sato, A.. 1994. Metamorphism of fine-grained snow due to surface curvature differences. Ann. Glaciol., 19, 69–76.
Brun, E., David, P., Sudul, M. and Brunot, G.. 1992. A numerical model to simulate snow-cover stratigraphy for operational avalanche forecasting. J. Glaciol., 38(128), 13–22.
Brzoska, J.-B., Lesaffre, B., Coléou, C., Xu, K. and Pieritz, R. A.. 1999a. Computation of 3-D curvature on a wet snow sample. Eur. Phys. J. Appl. Phys., 7(1), 45–57.
Brzoska, J.-B. and 7 others. 1999b. 3-D visualization of snow samples by microtomography at low temperature. ESRFNewsletter, 32, 22–23.
Brzoska, J.-B. and 7 others. 2001. Computation of the surface area of natural snow 3-D images from X-ray tomography: two approaches. Image Anal. Stereol., 20(2), Suppl. 1, 306–312.
Bullard, J.W. 1997a. Digital-image-based models of two-dimensional microstructural evolution by surface diffusion and vapour transport. J. Appl. Phys., 81(1), 159–168.
Bullard, J.W. 1997b. Numerical simulations of transient-stage ostwald ripening and coalescence in two dimensions. Mater. Sci. Eng., Ser. A, 238(2), 128–139.
Bullard, J.W., Garboczi, E. J., Carter, W.C. and Fuller, E. R. Jr., 1995. Numerical methods for computing interfacial mean curvature. Comput. Mat. Sci., 4(2), 103–116.
Cabanes, A., Legagneux, L. and Dominé, F.. 2003. Rate of evolution of the specific surface area of surface snow layers. Environ. Sci. Technol., 37(4), 661–666.
Chermant, J.L. 1992. Caractérisation des poudres et des céramiques. Paris, Edition Herme's.
Coeurjolly, D., Flin, F., Teytaud, O. and Tougne, L.. 2003. Multigrid convergence and surface area estimation. In Asano, T., R. Klette and Ch. Ronse, eds. 11th International Workshop on Theoretical foundations of computer vision: Geometry, Morphology and Computational Imaging. Berlin, Springer-Verlag 101–119. (Lecture Notes in Computer Science 2626.)
Colbeck, S. C. 1997. A review of sintering in seasonal snow. CRREL Rep. 97-10.
Colbeck, S. C. 1998. Sintering in a dry snow cover. J. Appl. Phys., 84(8), 4585–4589.
Colbeck, S. C. 2001. Sintering of unequal grains. J. Appl. Phys., 89(8), 4612–4618.
Coléou, C., Lesaffre, B., Brzoska, J.-B., Ludwig, W. and Boller, E.. 2001. Three-dimensional snow images by X-ray microtomography. Ann. Glaciol., 32, 75–81.
Edens, M.Q. and Brown, R. L.. 1991. Changes in microstructure of snow under large deformations. J. Glaciol., 37(126), 193–202.
Flin, F., Brzoska, J.-B., Lesaffre, B., Coléou, C. and Lamboley, P.. 2001. Computation of normal vectors of discrete 3-Dobjects: application to natural snow images from X-ray tomography. ImageAnal. Stereol., 20(3), 187–191.
Flin, F., Brzoska, J. B., Lesaffre, B., Coléou, C. and R. A., Pieritz. 2003. Full three-dimensional modelling of curvature-dependent snow metamorphism: first results and comparison with experimental tomographic data. J. Phys. D, 36(10A), A49–A54.
German, R. M. 1996. Sintering theory and practice. NewYork, etc., John Wiley & Sons, Inc.
Good, W. 1987. Thin sections, serial cuts and 3-D analysis of snow. International Association of Hydrological Sciences Publication 162 (Symposium at Davos 1986−Avalanche Formation, Movement and Effects), 35–48.
Hirata, T. 1996. A unified linear-time algorithm for computing distance maps. Inf. Process. Lett., 58(3), 129–133.
Jordan, R. 1991. A one-dimensional temperature model for a snow cover: technical documentation for SNTHERM.89. CRREL Spec. Rep. 91116.
Legagneux, L., Lauzier, T., Dominé, F., Kuhs, W. F., Heindrichs, T. and Techmer, K.. 2003. Rate of decay of specific surface area of snow during isothermal experiments and morphological changes studied by scanning electron microscope. Can. J. Phys., 81(1/2), 459–468.
Lesaffre, B., Pougatch, E. and Martin, E.. 1998. Objective determination of snow-grain characteristics from images. Ann. Glaciol., 26, 112–118.
Meijster, A., Roerdink, J. B.T.M. and Hesselink, W.H.. 2000. A general algorithm for computing distance transforms in linear time. In Goutsias, J., L. Vincent and D. S. Bloomberg, eds. Mathematical morphology and its applications to image and signal processing. Dordrecht, Kluwer, 331–340.
Prewitt, B. 1970. Object enhancement and extraction. In Lipkin, B. and A. Rosenfeld, eds. Picture processing and psychopictories. New York, Academic Press, 75–149.
Rieger, B., Timmermans, F. J. and vanVliet, L. J.. 2002. Estimation of curvature on surfaces in 3-D grey-value images. In Deprettere, E. F., A. Belloum, J.W. J. Heijnsdijk and F. Van der Stappen, eds. Proceedings 8th Annual Conference of the Advanced School for Computing and Imaging, June 19–21 2001, Lochem, The Netherlands. Delft, Advanced School for Computing and Imaging, 170–177.
Serra, J. 1982. Image analysis and mathematical morphology. London, Academic Press.
Sethian, J.A. 1996. Level set methods, involving interfaces in geometry, fluid mechanics, computer vision, and materials sciences. Cambridge, etc., Cambridge University Press.
Verwer, B. J.H. 1991. Local distances for distance transformations in two and three dimensions. Pattern Recogn. Lett., 12(11), 671–682.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed