COMPARING OF THE 2D-3D GRAVITY CALCULATIONS IN CARTESIAN COORDINATES AND 3D IN CARTESIAN-SPHERICAL COORDINATES

Abstract

In this study, comparisons of the various calculations are made to achieve the best results in gravity computation. In the three dimensional (3D) gravity study, mass surfaces are defined by dividing the triangle surfaces. The more triangle surface is taken, the more precise definition of mass are made. Triangular pyramids are taken into consideration as the 3D master model. This model is formed between each triangle surface and calculation point. This method can describe complex shaped formation perfectly. In the first study, two dimensional (2D) and 3D gravity computation are compared by using a suitable synthetic model in cartesian coordinates. And also in the second study, 3D gravity calculations are compared by using a suitable synthetic model in cartesian and spherical coordinates. In the first study, accuracy of the 3D gravity calculation results are found by inversion in cartesian coordinates. And also in the second study, the 3D gravity calculation results are found to be true in the spherical coordinates instead of in cartesian coordinates. The two studies, forward and inversion solutions are made for these model geometries by intensity of adoption by using a special algorithm. In the gravity method, the best results are determined by 3D gravity inversion calculation in spherical coordinates