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Study on key technologies of construction of marine geomagnetic filed model based on polynomial method

机译：基于多项式方法的海洋地磁归档模型建设关键技术研究

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There is an important relationship between the research of geomagnetic field model and the digital earth. The earth information includes that of geomagnetic field. Geomagnetic field model is to describe the geomagnetic field in mathematic way. It can provide the precise geomagnetic field information to help the development of the digital earth. At the same time, the geomagnetic field model is also used in the land and underwater geomagnetic navigation, and acts as an important role in finding underwater targets. Thus the paper will focus the research how to build a local marine geomagnetic field model. Firstly, we use the polynomial model, which includes Taylor polynomial model and Legendre polynomial model, to build the local marine geomagnetic model. Because geomagnetic field model expresses the steady geomagnetic change of the earth core. Thus we study Robust Kalman filter to eliminate the influences of abnormal geomagnetic data secondly. Besides, we also study the determination of model truncation order in using polynomial modeling, Because model truncation determines model accuracy and the efficiency in building local marine geomagnetic model. Model accuracy can be estimated by the standard deviation in interior test and exterior test. In the research, we find that model accuracy changes with model order, when the accuracy become stability with model order, we regard the order as model truncation order. Using above conclusions, we implement a experiment in the situations of geomagnetism mild change and geomagnetism complex change. We find that both Taylor polynomial model and Legendre polynomial model have smaller model truncation order in the situations of geomagnetism mild change than that in the situations of geomagnetism complex change. We also compare and analyze Taylor polynomial modeling and Legendre polynomial modeling in a large water area. By comparing and analysis, we find that Taylor polynomial modeling has higher accuracy and faster convergence spe- ed than Legendre polynomial molding. Thus Taylor polynomial is recommended as a optimum polynomial method in building local marine geomagnetic model. Finally we use both Taylor polynomial method and Legendre polynomial method to construct the local geomagnetic field model in the experimental water area of Bohai Bay in China. Taylor polynomial model achieves lower model truncation order and satisfying accuracy relative to Legendre polynomial model, which further prove above conclusions.
机译：地磁场模型与数字地球研究关系存在重要的关系。地球信息包括地磁场的信息。地质磁场模型是用数学方式描述地磁场。它可以提供精确的地磁场信息，以帮助数字地球的发展。同时，地磁场模型也用于土地和水下地磁导航，并作为寻找水下目标的重要作用。因此，论文将重点关注如何建立当地海洋地磁场模型。首先，我们使用多项式模型，包括泰勒多项式模型和传奇多项式模型，构建本地海洋地磁模型。因为地磁场模型表达了地球核心的稳定地磁变化。因此，我们研究了强大的卡尔曼滤波器，以消除异常地质数据的影响。此外，我们还研究了使用多项式建模的模型截断顺序的确定，因为模型截断确定了模型准确性和建立地方海洋地磁模型的效率。模型精度可以通过内部测试和外部测试的标准偏差来估算。在该研究中，我们发现模型精度随模型顺序而变化，当准确性与模型顺序变为稳定性时，我们将命令视为型号截断顺序。使用上述结论，我们在地磁变化和地磁复杂变化的情况下实施了实验。我们发现，泰勒多项式模型和传说中的多项式模型在地磁变化的情况下具有较小的模型截断顺序，而不是地磁复杂变化的情况。我们还在大水区中比较和分析泰勒多项式建模和Legendre多项式建模。通过比较和分析，我们发现泰勒多项式建模具有更高的准确性和更快的收敛系数，而不是Legendre多项式模制。因此，建议泰勒多项式作为建立局部海洋地质磁模型的最佳多项式方法。最后，我们使用泰勒多项式方法和传奇多项式方法来构建中国渤海湾实验水域的局部地磁场模型。泰勒多项式模型实现了较低的模型截断顺序，令人满意的相对于传说中多项式模型的准确性，进一步证明了上述结论。

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