This document discusses solving ill-posed magnetic inverse problems. It begins by explaining that most inverse geophysics problems are ill-posed due to ill-conditioned kernel matrices or complex geology. It reviews previous regularization techniques used to solve such problems and proposes a new technique called Parameterized Trust-Region Sub-problem (PTRS) method. PTRS chooses a trusted region of solutions and finds the minimum objective function within that region to control ambiguity. The method is tested on synthetic magnetic field data with noise and compared to TSVD with adaptive pruning L-curve, proving the stability of PTRS. PTRS is also applied to real magnetic data from Saudi Arabia and Italy.

(13380540 - Contributions To Geophysics and Geodesy) Solving Ill-Posed Magnetic Inverse Problem Using A Parameterized Trust-Region Sub-Problem PDF

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