利用希尔伯特变换解释重力异常

GRAVITY INTERPRETATION USING HILBERT TRANSFORM

本文给出了几种规则形状二度体和三度体重力异常的希尔伯特变换式,提出了一种利用希尔伯特变换反演异常体的方法。这种方法充分利用了重力异常信息:利用重力异常Δg(x)曲线和它的希尔伯特变换H(x)曲线及Δg(x)-H(x)参量图上的某些特征点直接反演异常体形状参数及埋深。方法简单、实用。

This paper gives Hilbert formulae of gravity anomaly of some regular bodies of two and three dimensions. An interpretation method for gravity anomalous body is developed by using Hilbert transform. This method makes full use of the anomalous curve. The anomalous bodies are interpretated by means of gravity anomaly △g(x), its Hilbert transform H(x) curve and △g(x)-H(x) curve. Its simplicity renders it a very useful practical method.