Vector Magnetic Field Reconstruction from Single-Component Data Using Evolutionary Algorithm

Abstract

A simple evolutionary algorithm is proposed to reconstruct a vector anomalous magnetic field from measurement data of one of its components. The algorithm selects the positions and magnetic moments of an assembly of point magnetic dipoles, the total magnetic field of which approximates with the required accuracy the data of single-component magnetic measurements at a known height above the earth’s surface. The distribution of sources obtained in this manner enables the reconstruction of all three components of the magnetic field. In this study, an evolutionary algorithm was utilized to solve the problem of reconstructing the magnetic field components \({{H}_{x}}\) and \({{H}_{y}}\) from the measured \({{H}_{z}}\) vertical component data. Additionally, an iterative procedure was proposed for calculating the \({{H}_{x}}\), \({{H}_{y}}\) and \({{H}_{z}}\) components of the magnetic field from known data for the anomalous component of the geomagnetic field.