Magnetization vector inversion (MVI) has attracted considerable attention in recent years since by this inversion both distribution of the magnitude and direction of the magnetization are obtained; therefore, it is easy to distinguish between the magnetic causative bodies especially when magnetic data are affected by different remanent magnetization. In this research, the compact magnetization vector inversion is presented: a 3-D magnetic modelling is proposed from surface data measurements to obtain compact magnetization distribution. The equations are solved in data-space least squares and the algorithm includes a combination of two weights as depth weighting and compactness weighting in the Cartesian system. The re-weighted compactness weighting matrix handles sparsity constraints imposed on the magnitude of magnetization for varying Lp-norms ($0 \le p \le 2$). The low value of the norm leads to more focused or compact inversion, and using a large value of p obtains a smooth model. The method is validated with two synthetic examples, the first is a cube that has significant remanent magnetization and the second consists of two causative cube bodies with significant different magnetization directions at different depths. The case study is the magnetic data of Galinge iron ore deposit (China) that the apparent susceptibility and magnetization directions are reconstructed. The compact model reveals that the results agree with drilling and geological information.

Mohammad Hossein Ghalehnoee

Abdolhamid Ansari

Geophysical Journal International

《国际地球物理杂志》发表关于理论、计算、应用和观测地球物理学各个方面的高质量研究论文、特快信函、特邀评论论文和书评。

The Geophysical Journal International publishes high-quality research papers, rapid communications, invited reviews, and book reviews covering all aspects of theoretical, computational, applied, and observational geophysics.

《Geophysical Journal International》发表高质量的研究论文、特快信函、特邀评论和书评，涵盖理论、计算、应用和观测地球物理学的各个方面。

Category	Quartile
地球科学	3
地球科学, 地球化学与地球物理	3

Compact magnetization vector inversion

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Category	Quartile
GEOCHEMISTRY & GEOPHYSICS	2