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利用最小二乘拟合法进行多站地磁日变基值归算
引用本文:边刚,夏伟,金绍华,吴迪,肖付民,孙新轩,王美娜.利用最小二乘拟合法进行多站地磁日变基值归算[J].地球物理学报,2015,58(4):1284-1289.
作者姓名:边刚  夏伟  金绍华  吴迪  肖付民  孙新轩  王美娜
作者单位:1. 海军大连舰艇学院海洋测绘系, 大连 116018;2. 海军工程大学导航工程系, 武汉 430033;3. 海洋测绘工程军队重点实验室, 大连 116018
摘    要:多站日变改正技术是解决远海区大范围磁力测量地磁日变改正的关键技术,然而多站日变改正中,为了减小磁场水平差异的影响,分站日变基值必须向主站归算.基于地磁日变化的时空特点,尝试将最小二乘拟合法引入到多站日变基值归算中,并采用多站同步观测数据对方法的有效性进行了验证.结论表明:当主站和分站日变性质相似时,最小二乘拟合法可以取得良好的效果,且对同步观测时段低.但是当日变性质差异较大时,则应当采用传统的同步比对法.

关 键 词:海洋磁力测量  多站日变改正  日变基值归算  最小二乘拟合法  
收稿时间:2014-01-17

Datum reduction with the least squares fitting method in correction of multi-station geomagnetic diurnal variations
BIAN Gang,XIA Wei,JIN Shao-Hua,WU Di,XIAO Fu-Min,SUN Xin-Xuan,WANG Mei-Na.Datum reduction with the least squares fitting method in correction of multi-station geomagnetic diurnal variations[J].Chinese Journal of Geophysics,2015,58(4):1284-1289.
Authors:BIAN Gang  XIA Wei  JIN Shao-Hua  WU Di  XIAO Fu-Min  SUN Xin-Xuan  WANG Mei-Na
Institution:1. Department of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018, China;2. Institute of Navigation Engineering, Naval University of Engineering, Wuhan 430033, China;3. Key Laboratory of Hydrography and Cartography of PLA, Dalian 116018, China
Abstract:The geomagnetic diurnal variation is the main influence in marine magnetic survey, especially in offshore and large areas. The multi-station method is the main technique to deal with the geomagnetic diurnal variation correction. However, to diminish the difference between the magnetic field data wand multi-station data, the correctional datum of the secondary station must be reduced to the main station. In marine surveys, the least squares fitting method has been applied in the interploation of the height of the tide. Considering the similarity of the influence mechanism of the tidal variation and the geomagneitc diural variation, the the least squares fitting method has been introduced in the datum reduction. The datum of the secondary station can be corrected, which is decieded by the expansion and contraction of the amplitude, the translation of the time (phase) of the diurnal variation of the main station, and the the residual error of the diurnal variation correction of the main and secondary station is minimum with the least square method. The validity of the method has been testified by the observed synchronous data of the multi-station. The results show that the least squares fitting method can be applied when the characteristics of the diurnal geomagnetic variations of the stations are similar, which requires a short synchronous observation period. Otherwise the synchronous correction method should be qualified. The conclusion shows that the least squares fitting method can be effectively applied in the datum reduciton with multi-station diurnal variation correction, therefore the differenceof the magneitc field which is caused by datum can be diminished and the geomagnetic diurnal variation correciton precision can be improved in magneitc surveys in offshore and large areas. Moreover the reduciton methd must be adjusted to the need of the practice. In addition, the least squares fitting method can be applied in the determination of the time difference and the correction value interpolation.
Keywords:Marine magnetic survey  Multi-station diurnal variation correction  Datum reduction  Least squares fitting method
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