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Scaling Behavior of Gravel Surfaces
Authors:Jie Qin  Deyu Zhong  Sai Leung Ng  Guangqian Wang
Institution:(1) State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, China;(2) Department of Geography and Resources Management, The Chinese University of Hong Kong, Hong Kong, China
Abstract:Roughness of successively developed gravel surfaces in flume experiments is investigated using laser scanned elevation fields. Scaling behavior of these surfaces is studied using structure functions. The results show that all surfaces exhibit good scaling behavior for two scaling regions. Multifractal analysis based on singular measures is then conducted for the two scaling regions, respectively. The relatively smaller scaling region characterizing subgrain scale roughness exhibits evident nonstationarity and intermittency. In contrary, the measures for the larger scaling region characterizing the spatial distribution of grains are more stationary and less intermittent than the measures for the subgrain scaling region.
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