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基于多面函数的局域地磁场建模方法研究 被引量:7

Study on construction of local marine geomagnetic field model based on multi-surface function
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摘要 基于多面函数,研究了局域海洋地磁场建模的理论和方法,并对建模中数据质量的控制问题、适用于地磁场建模的核函数的选择问题、平滑因子的选择以及建模数据的选择等关键问题进行了研究,并根据地磁数据变化剧烈的特点和多面函数的特性,提出了分区建模的设想。将该方法与传统的Taylor多项式、Legendre多项式和曲面函数建模方法进行了比较,表明该方法具有较高的精度和可靠性。 Based on multi-surface function, the principle and method for building geomagnetic field model in local marine area are studied in this paper. In the research, we give a kind of trend surface filter for eliminating abnormal geomagnetic strength, and improve data quality in building model. Then, we also study the choice of core function. By comparing and analyzing, we think that using normal hyperbola function in multi-surface model is better than using inverse hyperbola function in multi-surface model, as it has higher accuracy and stability than the later. Besides, we also think that the choice of smoothing factor is very important to improve model accuracy. An inflexion is found in the research. Using the inflexion, geomagnetic model can achieve higher accuracy. On the other side, we also study the relation between model accuracy and data representativeness. Model accuracy benefits high-density and representative data. Finally, a method of subsection building model is given and compared with other convenient methods. Some conclusions and advices are also presented in the paper.
出处 《海洋通报》 CAS CSCD 北大核心 2009年第4期89-96,共8页 Marine Science Bulletin
基金 国家863项目资助 项目编号2007AA12Z326
关键词 地磁场模型 多面函数地磁场模型 核函数 分区建模 geomagnetic field model multi-surface function core function construction of subsection geomagnetic model
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