Stable Reduction to the Pole at Low Magnetic Latitude by Probability Tomography

Abstract

AbstractReduction to the pole (RTP) has played a key role in the interpretation of magnetic anomalies. In order to overcome the unstableness of RTP at low magnetic latitude, there are varieties of methods of RTP. We propose a new method of inversion by probability tomography that allows stable reconstruction of the RTP field with a high fidelity even at the magnetic equator. The inverse model for RTP calculation consists of a set of juxtaposed equivalent prisms. This inversion carries on gradually by imagery of the residual magnetic anomalies and realizes the complexity mapping from the probabilistic model to the geophysical model under the condition of tomography. The processing of inversion does not need to solve linear algebraic equation system. The construction of probabilistic model, inversion for physical properties and appraisal can be organically integrated together to speed up the process of inversion, so that the speed of inverse calculation can be compared with the probability tomography. The computations of the model and practical field data demonstrate the effectiveness of the method that the equivalent source construction offers a stable means for reducing a set of magnetic data to the pole at the equator even with noise.