关键词: 位场, 导数, Fourier变换, Hartley变换

Abstract:

Derivative is an indispensable tool in the processing of potential field data. Now we usually use the Fourier transform to complete the computation, but this method is sensitive to noise, so cannot compute higherorder derivatives. Hartley transform (HT) is a real-valued function that is defined on the basis of Fourier transform (FT), however, symmetry character of HT is better and computational complexity of HT is smaller compared with these properties of FT. We derive the derivative computation equations of gravity and magnetic anomaly based on the basic property of HT. We demonstrate the HT on theoretical anomalies, and errors between the results computed by HT, which is insensitive to noise, and the theoretical values are less than 5%, so the HT can substitute the FT to compute the derivatives of potential field data. We also apply the HT to finish the computation of edge detection filters and obtain clearer distribution of faults.

Key words: potential field, derivative, Fourier transform, Hartley transform