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Snow metamorphism: A fractal approach

北木添加于 2010-9-28 11:31 | 2047 次阅读 | 0 个评论

作者
Carbone A, Chiaia B, Frigo B, T?rk C
摘要
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.
详细资料
- 文献种类:期刊
- 期刊名称: Physical Review E
- 期刊缩写: Phys. Rev. E
- 期卷页: 2010年第82卷第3期
- ISBN: 1539-3755
标签

fractal
相关链接 DOI URL