规则物体重磁异常波谱表达式的推导与分析

来源期刊：中南大学学报(自然科学版)1979年第3期

论文作者：程方道 黄国祥

文章页码：36 - 44

关键词：三度体重磁异常； 泊松公式； 二度体； 富氏变换； 波数域； 重力异常； 正演公式； 重力位； 变化规律； 垂直磁化

摘    要：由于位场的调和性质,重力位与磁位间存在着泊松公式,各种物体重磁异常波谱之间有着密切的内在联系。本文从波数域泊松公式出发,推导了重磁异常波谱之间的一些基本关系式。借助于波数域的泊松公式,推求各种物体的重磁异常波谱,比直接由正演公式作富氏变换来得简便,我们举例说明了这一点。并指出了规则三度体波谱与相应二度体波谱间存在简单关系,物体走向与坐标轴方向不一致时,二度体重磁异常波谱的变化规律以及规则三度体重磁异常波谱的不变性。

Abstract: There is an intransic relation between the spectrum of gravity and magnetic anomaly due to the fact that both are potential fields and related to Poisson’s equation. In this paper, some basic relations between the spectrum of gravity and magnetic anomalies are deduced by means of the poisson’s equation in the wave number domain. It has been found that it would be much simplier, if we should rather deduce the spectrum of gravity and magnetic anomalies due to bodies of various shapes by means of the Poisson’s equation in the wave number domain than by directly. Furthermore, we have discussed some characteristics of spectrum of gravity and magnetic anomalies. A simple relation exists between the spectrum of gravity and magnetic anomaly of three-dimensional body and the spectrum of two-dimensional body. As the strike of the body does not agree with the coordinate axis, a certain change of spectum of two-dimensional bodies arises but the spectrum of three dimensional bodies is invariant.