摘要
磁电阻率(MMR)法的地形影响,是一个急待解决的重要课题,而要对磁电阻率法进行地改,关键是要求出纯地形点源供电时地下传导电流所产生的磁场。本文着重研究了二度地形地下传导电流磁场的计算方法,详细分析了波数城磁场的特点,在此基础上,提出了用负指数函数逐段拟合的方法来进行反富氏变换从而计算空间域磁场的计算方案。最后利用解析解及模型试验结果论证了此算法的有效性。
The topographic effect of MMR method is an important thesis that should be solved urgently. Thekey to the settlement of the problem is how to calculate the magnetic field associated with non-induc-tive current of point-source embedded in arbitrarily undulatory topography. This paper focuses the at-tention on the calculation method of the magnetic field with respect to 2-D topographies. On the basisof analysing the characteristics of the magnatic field in wavenumber domain,this paper puts forwardthe algorithm of inverse Fourier transform with the interval-by-interval approximation of negative ex-ponential function for the calculation of the magnetic field in space domain. Finally, this papei demon-strates the effectiveness of the algorithm by means of several analytical solutions and scale-model ex-periment results.
关键词
地形
改正
二度地形
磁电阻率
计算
magnetometric resistivity (mmr)
topographic correction
wavenumber domain
space domain
Fourier transformation
inverse Fourier transformation
