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一种改善区域地磁场模型边界效应的方法
引用本文:杨云涛,石志勇,关贞珍,李豫泽.一种改善区域地磁场模型边界效应的方法[J].地球物理学进展,2009,24(2):468-474.
作者姓名:杨云涛  石志勇  关贞珍  李豫泽
作者单位:军械工程学院,石家庄,050003
摘    要:针对目前建立区域地磁场模型截断阶数受限,地磁图精度偏低等缺陷,研究了运用Taylor多项式拟合法建立区域地磁场模型所存在的边界效应问题.从理论上深入分析了产生边界效应误差的根源,提出了采用边界插值约束的Taylor多项式拟合法,在改善区域地磁模型边界效应的同时,提高了模型拟合的截断阶数,进而绘制出较高精度的区域地磁场图,同时对该技术和现有补充国际地磁参考场值方法进行了比较分析,最后进行了仿真试验.试验证明,该技术具有优于补充国际地磁参考值的方法,能克服现有区域地磁场模型的边界效应问题,提高了区域地磁场模型的拟合精度.

关 键 词:Taylor多项式  边界效应  地磁场模型  边界插值约束
收稿时间:2008-1-12
修稿时间:2008-4-20

A method of improving regional geomagnetic field model boundary effect
YANG Yun-tao,SHI Zhi-yong,GUAN Zhen-zhen,LI Yu-ze.A method of improving regional geomagnetic field model boundary effect[J].Progress in Geophysics,2009,24(2):468-474.
Authors:YANG Yun-tao  SHI Zhi-yong  GUAN Zhen-zhen  LI Yu-ze
Abstract:Aiming at the shortages in modeling regional geomagnetic field such as the limit of truncation order and the lower precision of geomagnetic chart. The problem of boundary effect in modeling regional geomagnetic field with Taylor polynomial is studied. The reason of boundary effect error is analyzed deeply in theory and a new method of Taylor polynomial with boundary interpolation constraint is put forward. In this way, the truncation order can be increased, the regional geomagnetic field model boundary effect is improved, and then a higher geomagnetic chart can be constructed with the model. Otherwise, this technology is compared and analyzed with the normal method of appending the IGRF data in the regional boundary and an experiment simulation is conducted at last. The experiment showing that the technology which is better than the method of appending the IGRF data not only can resolve the boundary effect preferably, but also can improve the precision of regional geomagnetic field model.
Keywords:Taylor polynomial  boundary effect  geomagnetic field model  boundary interpolation constraint
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