Inversion of gravity and gravity gradiometry data for density contrast surfaces using Cauchy-type integrals

摘要

We introduce a new method of modeling and inversion of potential field data generated by a density contrast surface. Our method is based on 3D Cauchy-type integral representation of the potential fields. Traditionally, potential fields are calculated using volume integrals of the domains occupied by anomalous masses subdivided into prismatic cells. This discretization is computationally expensive, especially in a 3D case. The Cauchy-type integral technique makes it possible to represent the gravity field and its gradients as surface integrals. This is especially significant in the solution of problems of modeling and inversion of gravity data for determining the depth to the basement. We demonstate our inversion method based on the Cauchy-type integral for several synthetic models. The results show that the new method is capable of providing high-resolution depth estimation for the sediment-to-basement interface.