Calculating normalized full gradient of gravity anomaly using Hilbert transform
利用Hilbert变换计算重力归一化总梯度

We propose a method of calculating normalized full gradient of gravity anomalies using Hilbert transform in order to improve the resolution of geophysical data processing. We prove the feasibility of the method in theory and illustrate the calculating way that can be performed in computer. We calculate the G-H field value of a model using methods of Fourier series, Fourier transform and Hilbert transform respectively and discuss the resolution for oil-bearing structures with the methods. The result indicates that the methods of Fourier series and Fourier transform cannot distinguish the anomaly of the low-density body but the method of Hilbert transform can fairly do when the thickness of the oil storage part (low-density body) of 3-D sphere-coronal (approximate model of 3-D oil storage anticline) is lower than one tenth of it of sphere-coronal. It demonstrates that the resolution of discerning anomaly in computing the G-H field value using Hilbert transform is much better than that of other two methods.