Multifractal Analysis Techniques and the Rain and Cloud Fields from 10−3 to 106m
Multifractal Analysis Techniques and the Rain and Cloud Fields from 10−3 to 106m
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多重分形分析技术与10−3至106m的雨云场
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
D. Schertzer
中科院分区：
文献类型：
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作者：
S. Lovejoy;D. Schertzer
我们讨论了≈1 mm到≈1000 km范围内雨场和云场的尺度特征。我们发现这些场具有多重分形性，即弱区和强区的尺度不同，涉及多个分维。我们重新评估了几个早期的(一维)分析，并认为在几个例子中，未能解释场的多重分形性导致了标度对称性的虚假破坏。一个相关的结果是，面积-周长指数不再产生周长的维度，对孤立的云或雨区分布的解释必须修改。
We discuss the scaling properties of the rain and cloud fields over the range of ≈1mm to ≈1000km. We find that these fields are multifractal; i.e. the weak and intense regions scale differently, involving multiple fractal dimensions. We re-evaluate several early (mono-dimensional) analyses and argue that failure to account for the multifractal nature of the fields has in several instances lead to spurious breaks in the scaling symmetry. A related result is that area-perimeter exponents no longer yield the dimension of the perimeters, and that the interpretation of the distribution of isolated cloud or rain areas must be modified.