A mixed-order minimum entropy regularization for inversion of magnetic data
摘要
The inversion of magnetic data is a crucial geophysical technique for imaging subsurface structures, but it is inherently non-unique. Regularization is essential to obtain geologically plausible solutions, with stabilizers based on L2 norms often producing overly smooth models that obscure boundaries, while sparse constraints can lead to artificially concentrated features with exaggerated susceptibilities. This paper introduces a novel framework for magnetic data inversion utilizing a mixed-order minimum entropy stabilizer, which integrates both first- and second-order probability measures within a pseudo-quadratic form. The proposed method is designed to mitigate the limitations of its individual components, striking a balance between the excessive focusing of first-order minimum entropy and the over-smoothing of second-order minimum entropy stabilizers. To achieve the solution, we use a reweighted regularized conjugate gradient (RRCG) algorithm as an efficient approach. The efficacy of this approach is demonstrated through comprehensive testing on two synthetic models—a dipping dike and two cuboids—and a field dataset from the Nikka volcanogenic massive sulfide (VMS) deposit in Ontario. Results show that the mixed-order stabilizer consistently generates compact models with clearly defined boundaries and accurate susceptibility values, outperforming the conventional methods. This study confirms that the mixed-order minimum entropy regularization provides a robust and effective tool for producing geologically realistic subsurface models from magnetic data, enhancing interpretation accuracy in exploration geophysics.