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大气气溶胶尺度分布分形特征研究
引用本文:徐延峰,陈辉,张志军.大气气溶胶尺度分布分形特征研究[J].气象与环境学报,2012,28(3):8-14.
作者姓名:徐延峰  陈辉  张志军
作者单位:1.中国地质大学地质过程与矿产资源国家重点实验室,北京 100083;2.中国矿业大学(北京)地球科学与测绘工程学院,北京 100083
基金项目:高等学校学科创新引智计划
摘    要:气溶胶作为大气环境中的重要组成部分,具有复杂的尺度分布结构。为研究其尺度分布特征,采用分形理论首先论述了常用的气溶胶谱分布函数具有分形不变性,然后在分形理论的指导下分别建立了气溶胶粒子和体积分形统计模型,而且以AERONET相关数据验证了分形模型的有效性和实用性,并采用分段分形的方法改进了气溶胶体积分形模型。最后分析研究了分维数的实用意义和分布情况,讨论了气溶胶分维数变化和粒度分布的关系。结果表明:气溶胶粒子数和体积分维数之间存在线性关系,上半年的大气溶胶粒子数分维数的变化幅度明显小于下半年的变化幅度;研究区域大气气溶胶中细粒子分布比较密集,大粒子分布比较分散。分形理论为研究大气气溶胶的尺度分布特征提供了新的方法与手段,具有广阔的研究与应用前景。

关 键 词:谱分布  分形  分维数  大气  气溶胶  谱分布  分形  分维数  大气  气溶胶  

Study on the fractal characteristics of size distribution of atmospheric aerosols
XU Yan-feng,CHEN Hui,ZHANG Zhi-jun.Study on the fractal characteristics of size distribution of atmospheric aerosols[J].Journal of Meteorology and Environment,2012,28(3):8-14.
Authors:XU Yan-feng  CHEN Hui  ZHANG Zhi-jun
Institution:1. State Key Laboratory of Geo-Processes and Mineral Resources, China University of Geosciences, Beijing 100083, China; 2. College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 10083, China
Abstract: As one of the important part of the atmospheric environment, the aerosol has a complex structure of size distribution. Fractal theory was applied to study the fractal characteristics of aerosol size distribution. First, it was proved that the functions of aerosol size distribution are of fractal invariance. Then, the fractal statistical models of aerosol particle and volume were established based on the fractal theory, and the validity and practicability were verified by the corresponding data from AERONET. Besides, sub-fractal approach was used to improve the aerosol volume fractal model. Finally, the practical significance of the fractal dimensions and its distributions were analyzed, and the relationship between the fractal dimension and aerosol size distribution was discussed. The results show that there is a linear relationship between the aerosol particle number and volume fractal dimensions. The fluctuation of the large aerosol particle fractal dimensions is smaller in the first half year than in the second half year. The distribution of the fine aerosol particle is concentrative in the study area, while that of the crude aerosol particle is dispersive. The fractal theory has a broad prospect of research and application as it provides a new method for the study of aerosol size distribution characteristics.
Keywords:Spectral distribution  Fractal  Fractal dimension  Atmosphere  Aerosol
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