Interpretação de anomalias magnéticas usando integrais finitas dos momentos das componentes

Abstract

The objective of this work is to develop a methodology to determine the parameters of a body causing a magnetic anomaly. This methodology is based on the use of analytic expressions, derived for the finite integrals of the moments of the anomaly of total intensity and of the Hx, Hy and Hz components, according to the cartesian coordinate system. By fitting these analytic expressions and the numerical integrals of the moments of the magnetic components obtained from a geophysical survey, the parameters of magnetization, position, depth and dimensions of the anomalous body can be obtained through an iterative process. When only one magnetic component is known, the method is still applicable, since the other components may be obtained by means of a mathematical filtering scheme. This methodology was succesfully tested for point dipole and line of dipoles models, which are widely used in Geophysics to interpret magnetic anomalies caused by geologic bodies which have one or two horizontal dimensions much less than the depth.