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Migration Transformation of Full-Vectorial 3-D Magnetic Field Via Parameterized Complex Intensity

In this paper, we introduce for the first time the representation of parameterized complex intensity for 3-D magnetic field and apply it to derive migration imaging formulas for rapid interpretation of magnetic vector field data. Two migration transforms are achieved, one is for imaging full-vectorial magnetization intensity, and the other is for the divergence of full-vectorial magnetization intensity, named the equivalent magnetic charge intensity in this paper. They are obtained by the downward continuation of well-behaved analytical functions and are expected to be robust to noise in the observed data. Unlike most of the existing approaches for interpreting magnetic data, the proposed algorithms make no assumption that there is only induced magnetic field. Another contribution of this paper is that we derive the point spread functions and use them to do the resolution analysis of proposed migration imaging formulas. The performance of the proposed approach is tested using generated numerical data.