Snow metamorphism: A fractal approach
Autor: | Barbara Frigo, Bernardino Chiaia, Anna Filomena Carbone, Christian Turk |
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Rok vydání: | 2010 |
Předmět: |
Hurst exponent
geography geography.geographical_feature_category Meteorology Statistical Mechanics (cond-mat.stat-mech) brownian model snow metamorphism fractal geometry FOS: Physical sciences Geometry Computational Physics (physics.comp-ph) Granular material Snow Physics::Geophysics Fractal Phase (matter) Astrophysics::Earth and Planetary Astrophysics Menger sponge Ice sheet Porous medium Physics - Computational Physics Condensed Matter - Statistical Mechanics Geology |
Zdroj: | Physical review. E, Statistical, nonlinear, and soft matter physics. 82(3 Pt 2) |
ISSN: | 1550-2376 |
Popis: | Snow is a porous disordered medium consisting of air and three water phases: ice, vapor, and liquid. The ice phase consists of an assemblage of grains, ice matrix, initially arranged over a random load bearing skeleton. The quantitative relationship between density and morphological characteristics of different snow microstructures is still an open issue. In this work, a three-dimensional fractal description of density corresponding to different snow microstructure is put forward. First, snow density is simulated in terms of a generalized Menger sponge model. Then, a fully three-dimensional compact stochastic fractal model is adopted. The latter approach yields a quantitative map of the randomness of the snow texture, which is described as a three-dimensional fractional Brownian field with the Hurst exponent H varying as continuous parameters. The Hurst exponent is found to be strongly dependent on snow morphology and density. The approach might be applied to all those cases where the morphological evolution of snow cover or ice sheets should be conveniently described at a quantitative level. |
Databáze: | OpenAIRE |
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