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对数功率谱法计算磁性体顶底深的若干问题
引用本文:王西文.对数功率谱法计算磁性体顶底深的若干问题[J].地球科学与环境学报,1989(4).
作者姓名:王西文
作者单位:西安地质学院物探系
摘    要:对数功率谱法是计算磁性体顶深、底深的常用反演方法之一。该方法简单、计算速度快,并且不需要预先知道磁性体的磁化率。本文对该方法在实际资料处理时遇到的一些问题做了进一步的研究。通过对计算磁性体顶深、底深的误差分析,证明计算顶深的精度较高。对于非均匀磁化模型,作者推导出其谱公式,这与均匀磁化模型的谱公式近似相等,从而证明对数功率谱法计算磁性体顶、底深度不受非均匀磁化影响。三度磁性体的二度近似计算也是完全可靠的。 最后,计算了山西省太原盆地磁性体顶深,其结果与已有的地质、地球物理资料相符合。

关 键 词:对数功率谱法  磁性体  太原盆地

SOME PROBLEMS OF CALCULATING TOP AND BOTTOM OF MAGNETIC BODIES BY POWER SPECTRUM METHOD
Wang Xiwen.SOME PROBLEMS OF CALCULATING TOP AND BOTTOM OF MAGNETIC BODIES BY POWER SPECTRUM METHOD[J].Journal of Earth Sciences and Environment,1989(4).
Authors:Wang Xiwen
Institution:Xi'an College of Geology
Abstract:The power spectrum method is one of the common inversing methods by means of which the top depth and the bottom depth of the magnetic bodies can be calculated.This method is simple and the calculation speed is also fast. Furthermore, there is no need to foresee the susceptibility of the magnetic bodies.Therefore, the method is of a certain practical value. Based on the studies made by the predecessors, the writer discusses in detail some problems which are met with in his practically processing data.With the help of the studies, he comes to a conclusion that the precision of calculating of the top depth of the magnetic bodies is much higher and much more reliable than by calculating the bottom depth in terms of analysing errors. Considering the susceptiblity of the magnetic bodies is inhomogeneous from the top of the magnetic bodies to their bottom, the author infers the spectrum formula of the inhomogeneous susceptibility of the megnetic bodies. And he considers that this spectrum is approximately to similar that of the homogeneous susceptibility of the magnetic bodies. The results show that the calculation of the top depth and the bottom depth of the magnetic bodies by the power Spectrum Method is not affected, by the inhomogeneous susceptibility of the magnetic bodies.The approximate Calculation of the 3-D magnetic bodies by the 2-D Power Spectrum Method is of good precision. Finally, the author calculates the top depth of the magnetic bodies of the Taiyuan Basin in Shanxi province, and the results are in line with the known geological and geophysical data.
Keywords:Power Spectrum Method  magnetic body  Taiyuan Basin
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