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区分地磁局部异常的源场理论
引用本文:祁贵仲.区分地磁局部异常的源场理论[J].地球物理学报,1979,22(1):66-77.
作者姓名:祁贵仲
作者单位:国家地震局地球物理研究所
摘    要:本文根据在柱座标系中近地面空间磁场解的普遍形式,建立了区分地磁局部异常源场理论的基本公式。与已有的工作比较主要不同点是: (1)与普拉爱斯等人的结论相反,从理论上普遍地证明了:不可能直接由水平面内单一分量的观测结果,区分垂直分量的内外源场; (2)证明了全部源场区分的理论公式是收敛和唯一的,保证了理论结果的完整性; (3)普拉爱斯和韦弗的理论方法对于三维和二维问题,必须分别独立地建立,而本文所建立的源场区分的基本公式,对于二维问题同样适用,可由此直接过渡到二维场的结果; (4)给出了一种由单一水平分量观测结果,区分垂直分量源场的间接近似方法。这在实际应用中是重要的。

关 键 词:源场  局部异常  地磁  垂直分量  水平分量  不可能性  被积函数  外源场  普赖斯  观测结果  

ON THE SEPARATION THEORY OF LOCAL GEOMAGNETIC FIELD
QI GUI-ZHONG.ON THE SEPARATION THEORY OF LOCAL GEOMAGNETIC FIELD[J].Chinese Journal of Geophysics,1979,22(1):66-77.
Authors:QI GUI-ZHONG
Institution:Institute of Geophysics, State Seismological Bureau
Abstract:Using cylindrical coordinate system, the general solutions of local geomagnetic field near the earth's surface are obtained, and then the fundamental formulae for separating the field into the parts of external and internal origin, derived. The theory of Price and Wilkins has been extended as follows:(1) In contrast to the conclusions made by Price and others2], it is proved in a general way that to separate the external and internal parts of the Hz-component of the geomagnetic field directly by using only one of the horizontal components observed is impossible.(2) The uniqueness and convergence of all theoretical formulae separating the external and internal parts are also proved, thus ensuring the completeness of the theoretical results.(3) The methods of Price2] and Weaver5] relating to the three and two dimen-sional problems should be established independently, while the fundamental formulae presented here are also valid for two dimensional field and would therefore directly lead to the two dimensional case.(4) Finally, an indirect approximate method to separate the external and in-ternal parts of the Hz-component by using one of the horizontal components is presented. This is thought to be significant.The application of the separation theory to actual cases will be dealt with in a later paper.
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