关于计算重磁垂直二阶导数公式的研究

来源期刊：中南大学学报(自然科学版)1982年第3期

论文作者：蔡文成

文章页码：111 - 118

关键词：导数公式； 频响特性； 频率域； 频率响应特性； 平均值； 模型计算； 最佳值； 理论值； 重磁； 计算半径

摘    要：本文探讨了常用的几个计算重磁垂直二阶导数公式的内在联系,并从这些联系规律出发导出了三个新的公式。阐述了频率域判别计算二阶导数公式优劣的合理标准。并用理论模型计算证实频率域用频响特性的最佳值判别的合理性及新导的三个公式的实用价值。

Abstract: The inward relation among some formulae which are often used to compute the vertical second-order derivatives of the fields of gravity and magnetism is discussed,and so three new formulae are introduced in this thesis.The new standards which can judge what are merits and demerits of these formulae in frequency-domain are expounded.It is verified that the optimum distinguished method of frequency response is reasonable and the given new formulae are useful in frequency-domain by means of the compu- tation of the theoretical models.