Scale-invariant phenomena are common in nature and fractals represent a suitable mathematical tool to describe them. Snow avalanche flow is made up of a mixture of grains and aggregates (granules) which can be broken or sintered together. The granular properties and interactions are important in understanding how avalanches flow. In this paper a fractal model for describing the grain-size distribution in the deposit of a snow avalanche is formulated by introducing the concept of aggregation probability. Although the model is two-dimensional, an extension to the three-dimensional case is proposed in the conclusions. The cumulative size distribution law is extrapolated from the model, and a physical discussion on fractal parameters is conducted. Finally, an experimental application to a real avalanche event is considered to confirm the predictions of the model and to present an extension to multifractality.
Fractal grain distribution in snow avalanche deposits / De Biagi V.; Chiaia B.; Frigo B.. - In: JOURNAL OF GLACIOLOGY. - ISSN 0022-1430. - STAMPA. - 58(2012), pp. 340-346.
|Titolo:||Fractal grain distribution in snow avalanche deposits|
|Data di pubblicazione:||2012|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3189/2012JoG11J119|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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