重磁场二维希尔伯特变换——直接解析信号解释方法

摘要

通过分析解析信号概念,指出目前重磁场解析信号事实上是重磁场梯度解析信号.在借助解析信号分量满足二维希尔伯特变换关系的基础上,提出重磁场直接解析信号的概念,并阐述重力异常及化极磁异常希尔伯特变换——直接解析信号的含义,并给出基于直接解析信号对位场增强的四种处理方法:直接解析信号模、水平分量模、改进Tilt angle和改进Theta map.理论模型和实际航磁资料处理表明上述方法一定程度上可以解决噪声干扰等问题,对分辨和刻画场源有较好的解释效果,能够用于航空重力和航磁资料处理.%Through the analysis of analytical signal concept, we point out that the analytic signal of potential field data is in fact rhe analytic signal of gradient data. As potential field gradient components meet 2-D Hilbert transform, we propose the concept of Direct Analytical Signal (DAS) to expand total gradient method, DAS of potential field or its 2-D Hilbert transform has geophysical implication, especially for the gravity anomalies or magnetic anomalies at the pole. Based on the concept of DAS. We also propose direct analytical signal enhancement methods including the amplitude of DAS, the horizontal component of DAS) improved Tilt angle and improved Theta map. Theoretical models and digital aeromagnetic data processing show that the method can be effective for enhancing large-scale potential field data mapping.