Use of a Fractional Brownian Motion Model to Mimic Spatial Horizontal Variation of Soil Physical and Hydraulic Properties Displaying a Power-law Variogram
| Autor: | A. Sommella, Antonio Coppola, Cosimo Damiano Vitale, Vincenzo Comegna, Alessandro Comegna |
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| Přispěvatelé: | A., Comegna, A., Coppola, V., Comegna, Sommella, Angelo, C. D., Vitale |
| Rok vydání: | 2013 |
| Předmět: |
fractal dimension
Hydrology Hurst exponent fractional Brownian model (fBm) Fractional Brownian motion Stochastic process Fractal landscape Horizontal soil heterogeneity Fractal dimension Power law Physics::Geophysics Fractal General Earth and Planetary Sciences Statistical physics Variogram General Environmental Science Mathematics |
| Zdroj: | Procedia Environmental Sciences. 19:416-425 |
| ISSN: | 1878-0296 |
| DOI: | 10.1016/j.proenv.2013.06.048 |
| Popis: | Stochastic analysis of flow and mass transport in soil, usually assumes that soil hydraulic properties are stationary homogeneous stochastic processes with a unite variance. Some field data suggest that soil hydraulic distributions may have a fractal character with long-range correlations, lit this study new field soil hydraulic data-sets, measured along transects of an Andosol and a Vertic-Fluvent soil, were analyzed for fractal behavior using a stochastic fractal function such as fractional Brownian motion (fBm) and power-law variogram fits to estimate the monofractal Hurst exponent H as a measure of self-similarity. Our analysis lend further support to the hypothesis that horizontal processes, that mimic fBm, will display a power-law variogram. (C) 2013 The Authors. Published by Elsevier B.V |
| Databáze: | OpenAIRE |
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