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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。
Due to the harmonic nature of the site field, there exists Poisson’s formula between gravity and magnetic potential, and there is a close internal relationship between the gravity and magnetic anomalies of various objects. Based on the wave number domain Poisson equation, this paper deduces some basic relations between gravity and magnetic anomalies. With the help of the Poisson formula in the wavenumber domain, it is easy to deduce the gravity and magnetic anomaly spectrum of various objects, which is simpler than the Fourier transformation directly from the forward formula. We illustrate this point. The regularity of the second-order body-mass magnetic anomaly spectrum and the invariance of the regular third-degree body-mass magnetic anomaly spectrum are pointed out when there is a simple relationship between the regular third-order body-wave spectrum and the corresponding second-order body-wave spectrum and the direction of the object is different from the coordinate axis.