Turbulence or turbulence-like phenomena are ubiquitous in nature, often showing a power-law behavior of the fluctuations in either spatial or temporal domains. This power-law behavior is due to interactions among different scales of motion, and to the absence of characteristic scale. In this work, we consider the multiscale dynamics of China France Oceanography SATellite (CFOSAT) data as atmospheric and oceanic quantities influenced by turbulence. Fourier power spectra were estimated for the data provided by the CFOSAT via the Wiener-Khinchine theorem to extract multiscale information for both wind speed (WS) and significant wave height (Hs). The WS data were collected from December 18, 2018 to August 31, 2020, and the Hs data from July 29, 2019 to August 31, 2020. Fourier power spectra for both WS and Hs exhibit power-law features in the ranges of 100–3,000 km with a scaling exponent varying from 5/3 to 3. The global distributions and seasonal variations of for both WS and Hs have also been considered. The results show that due to the energetic convective activities in the low-latitude zones, the scaling exponents in these regions are closer to the value of 5/3. Concerning the seasonal variations, for most regions, the scaling exponents in winter are larger than those in summer for WS. The seasonal variations of in low-latitudes are stronger than those in the mid-latitudes. Our preliminary results enrich the fundamental knowledge of ocean surface processes and also provide a benchmark for either oceanic or atmospheric models.

中文翻译：

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中法海洋卫星沿轨风浪资料定标分析

湍流或类似湍流的现象在自然界中无处不在，通常在空间或时间域中表现出波动的幂律行为。这种幂律行为是由于不同运动尺度之间的相互作用，以及特征尺度的缺失。在这项工作中，我们将中法海洋卫星 (CFOSAT) 数据的多尺度动态视为受湍流影响的大气和海洋量。对 CFOSAT 提供的数据通过 Wiener-Khinchine 定理估计傅立叶功率谱，以提取风速 (WS) 和有效波高 (Hs) 的多尺度信息。WS数据采集时间为2018年12月18日至2020年8月31日，Hs数据采集时间为2019年7月29日至2020年8月31日。从 5/3 到 3 不等。还考虑了 WS 和 Hs的全球分布和季节性变化。结果表明，由于低纬度地区的高能对流活动，这些地区的标度指数更接近于5/3的值。关于季节变化，对于大多数地区，WS 冬季的标度指数大于夏季的标度指数。低纬度地区的季节性变化大于中纬度地区。我们的初步结果丰富了海洋表面过程的基础知识，也为海洋或大气模型提供了基准。