| 小尺度地磁场勒让德多项式建模方法 |
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| 引用本文： | 区家明,杜爱民,徐文耀,洪明华,陈耿雄,罗浩,赵旭东,白春华,王源.小尺度地磁场勒让德多项式建模方法[J].地球物理学报,2012,55(8):2669-2675. |
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| 作者姓名： | 区家明 杜爱民 徐文耀 洪明华 陈耿雄 罗浩 赵旭东 白春华 王源 |
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| 作者单位： | 1. 中国科学院地质与地球物理研究所,北京 100029;2. 中国科学院空间天气学国家重点实验室, 北京 100080;3. 中国科学院研究生院, 北京 100049 |
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| 基金项目： | 国家自然科学基金项目(41174122,40890163,41031066);海洋公益行业科研专项(201005017)资助 |
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| 摘 要： | 根据地面实测地磁场数据,提出一种基于勒让德多项式的对小尺度地磁场的模型建立方法,结合数据预处理、最小二乘拟合方法,采用高阶的模型描述典型小尺度区域的地磁场,绘制出地磁图.通过实验验证,模型拟合实验点的数据与真实数据的磁场总强度平均误差小于30 nT,并且反映出小尺度区域中磁场的精细结构,有效地抑制了边界效应,大大提高了地磁场建模能力.另外讨论了勒让德多项式建模方法的优缺点以及使用范围.这为地磁场在空间延拓、探矿、地下结构分析提供了重要的方法和理论基础.
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| 关 键 词： | 空间分辨率 地磁场建模 勒让德多项式 边界效应 最小二乘 |
| 收稿时间： | 2011-07-11 |
The Legendre polynomials modeling method of small-scale geomagnetic fields |
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| OU Jia-Ming
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DU Ai-Min
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XU Wen-Yao
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HONG Ming-Hua
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CHEN Geng-Xiong
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LUO Hao
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ZHAO Xu-Dong
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BAI Chun-Hua
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WANG Yuan.The Legendre polynomials modeling method of small-scale geomagnetic fields[J].Chinese Journal of Geophysics,2012,55(8):2669-2675. |
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| Authors: | OU Jia-Ming DU Ai-Min XU Wen-Yao HONG Ming-Hua CHEN Geng-Xiong LUO Hao ZHAO Xu-Dong BAI Chun-Hua WANG Yuan |
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| Institution: | 1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;2. State Key Laboratory of Space Weather, Chinese Academy of Sciences, Beijing 100080, China;3. Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | Based on ground-based geomagnetic surveys, we propose a small-scale geomagnetic field modeling method using Legendre polynomials. Combined with the data preprocessing techniques and the least squared estimation, a high-degree model is constructed to describe the small-scale structure of the field and draw the geomagnetic field maps. The results of the experiments show that the average misfit of total field intensity between the predicted model and the real observations is less than 30 nT. At the same time, fine structures of the field can be predicted, and the boundary effect is effectively suppressed, which facilitate improvement of modeling of the geomagnetic field. We also discuss the advantage and shortage of this modeling technique and its application scope. It is of great significance for application of the geomagnetic field to space exploration, minerals prospecting and subsurface structure probing. |
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| Keywords: | Spatial resolution Geomagnetic field modeling Legendre polynomials Boundary effects Least square estimation |
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