雨滴谱gamma函数拟合方法的分析与评估
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南京信息工程大学大气物理学院,中国气象科学研究院灾害天气国家重点实验室,南京信息工程大学大气物理学院,中国气象科学研究院灾害天气国家重点实验室,中国气象科学研究院灾害天气国家重点实验室,福建省气象台

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413.2+1

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国家自然科学基金项目(41475029,41675029),国家重点研发计划(2017YFC1501703)


Analysis and Evaluation of the Fitting Methods of Gamma Raindrop Size Distribution
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School of Atmospheric Physics, Nanjing University of Information Science & Technology (NUIST),,School of Atmospheric Physics, Nanjing University of Information Science & Technology (NUIST),State Key Lab of Severe Weather, Chinese Academy of Meteorological Sciences,State Key Lab of Severe Weather, Chinese Academy of Meteorological Sciences,Fujian Meteorological Observatory

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    摘要:

    地面雨滴谱常呈现gamma分布。gamma函数三个参数分布特征与降水云性质有关,采用不同拟合方法得到雨滴谱分布参数亦存在差异。本文利用2016年6-7月华南前汛期降水观测试验期间广东龙门地面PARSIVEL激光雨滴谱数据和相同地点的降水云垂直探测雷达(C-FMCW)数据进行层状云及对流云分类,对地面雨滴谱数据按照15min时长进行分组,得到了102组层状云降水样本64组对流降水样本,开展降水雨滴谱gamma模型函数拟合方法的评估试验。对雨滴谱分布平均值特征曲线的代表性确认后,分别进行了非线性最小二乘法拟合以及多种阶矩法的拟合试验;使用地面实测数据与gamma拟合函数三个参数分别计算雨滴谱数浓度均方根误差、质量加权中值粒径Dm的相对误差和降水强度R的相对误差评估拟合结果。结果表明,使用非线性最小二乘法拟合效果最优。联合2016年6月13日C-FMCW雷达探测一次降水过程不同阶段的地面雨滴谱特征,得到降水强度与gamma参数的相关关系,为降水云体垂直结构及降水微物理研究提供合理方法。

    Abstract:

    ground raindrop Size Distribution (DSD)tend to present the gamma function distribution. The distribution of three parameters of gamma function is related to the nature of precipitation cloud,and also have differences by using different fitting methods. Using the vertical detection data and DSD data obtained from C-FMCW radar and PARSIVEL precipitation particle spectrometer from June to July 2016 in Longmen Guangdong, analysis the different function fitting methods for gamma DSD in 102 stratiform cloud specimens and 62 convective clouds specimens and every specimen consists by 15-minute data. After confirming the average curve is representative of the raindrop Size Distribution, different fitting methods had been used for experiments, the nonlinear least square fitting and moment fitting methods. Using RMSE error of raindrop spectrum concentration, the relative error of Dm and R to evaluate fitting results. The results show that the nonlinear least square method is the best. Combined with C-FMCW radar, ground raindrop spectrum characteristics at different stages of a precipitation process on June 13, 2016 were detected. The correlation between precipitation intensity and gamma parameters is obtained, which provides a reasonable method for the study of vertical structure of precipitation cloud and precipitation microphysics.

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霍朝阳,阮征,魏鸣,等. 雨滴谱gamma函数拟合方法的分析与评估[J]. 科学技术与工程, 2018, 18(34): .
Huo Zhaoyang,,Wei Ming, et al. Analysis and Evaluation of the Fitting Methods of Gamma Raindrop Size Distribution[J]. Science Technology and Engineering,2018,18(34).

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  • 收稿日期:2018-07-06
  • 最后修改日期:2018-09-11
  • 录用日期:2018-09-14
  • 在线发布日期: 2018-12-20
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