Derived the complete gravity gradient tensor from the vertical component of gravity by a cosine transform technique

Abstract

A cosine transform technique has been developed to calculate the complete gravity gradient tensor from preexisting vertical gravity data which provides an alternative determination of the gravity gradient tensor components. Gravity gradient tensor components are computed for a three-dimensional buried Y-type dyke model. A comparison between the discrete cosine transform(DCT) results and forward(or theoretical) calculating gradient components from the 3D model shows that the root-mean-square error for each component, between the two results, is at most 3.94E. In addition, according to another comparison between this DCT technique and FFT method, there is a relatively larger error between the FFT derived and model derived, but the results of DCT derived coincide well with the model derived except for several data of the boundary, indicating that our technique is more efficient than traditional FFT method.