Calculating Normalized Full Gradient of Gravity Anomaly Using Hilbert Transform

We propose a method of calculating normalized full gradients of gravity anomalies using Hilbert transform to improve the resolution of geophysical data processing. We prove the feasibility of the method in theory and give the calculating way that can be performed on computer. We calculate the GH field values of a model using methods of Fourier series, Fourier transform and Hilbert transform, respectively and discuss the resolution for oil-bearing structures with these methods. The methods of Fourier series and Fourier transform cannot distinguish the anomaly of 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 that of the sphere-coronal. It indicates that the resolution power of discerning anomaly in computing GH field value using Hilbert transform is much better than other two methods.