Magnetic anomaly due to magnetic halfspace with buried cylindrical perturbing body

Abstract

For purposes of better knowledge of the magnetic anomalous fields in volcanic areas we analyze the mathematical model of relevant properties: wide spread magnetic halfspace of permeability μ₁ (corresponding to the lava field) which contains buried cylindrical body of radius a, permeability μ₂. This problem is solved exactly by means of Laplace equations in bipolar coordinate system. Numerical results show that the presence of cylinder is reflected in the anomaly of ΔT, as well as in the inclination angle I.