Inversion of magnetic data is complicated by the presence of remanent magnetization. To deal with this problem, we invert magnetic data for a three-component subsurface magnetization vector, as opposed to magnetic susceptibility (a scalar). The magnetization vector can be cast in a Cartesian or spherical framework. In the Cartesian formulation, the total magnetization is split into one component parallel and two components perpendicular to the earth’s field. In the spherical formulation, we invert for magnetization amplitude and the dip and azimuth of the magnetization direction. Our inversion schemes contain flexibility to obtain different types of magnetization models and allow for inclusion of geologic information regarding remanence. Allowing a vector magnetization increases the nonuniqueness of the magnetic inverse problem greatly, but additional information (e.g., knowledge of physical properties or geology) incorporated as constraints can improve the results dramatically. Commonly available information results in complicated nonlinear constraints in the Cartesian formulation. However, moving to a spherical formulation results in simple bound constraints at the expense of a now nonlinear objective function. We test our methods using synthetic and real data from scenarios involving complicated remanence (i.e., many magnetized bodies with many magnetization directions). All tests provide favorable results and our methods compare well against those of other authors.

Peter G. Lelièvre

Douglas W. Oldenburg

GEOPHYSICS

GEOPHYSICS，自 1936 年以来由勘探地球物理学家协会出版，是一份档案期刊，涵盖应用地球物理学的研究、勘探和教育的各个方面。地球物理学文章，通常每年超过 275 篇，分六期，涵盖地球物理方法的整个范围，包括地震学、势场、电磁学和钻孔测量。 GEOPHYSICS 是双月刊，提供重现所描述工作所需的理论和数学工具，鼓励进一步的发展和研究。来自工业界和学术界的地球物理学论文经过严格的同行评审过程，以验证所描述的方法和结论，并确保最高的社论和生产质量。地球物理学编辑强烈鼓励使用真实数据，包括实际案例历史，以突出当前技术和教程以激发想法。有些问题的特色是关于当前感兴趣的特定主题的征集论文部分。近期的专题栏目主要集中在地震各向异性、盐下勘探开发、微震监测。每篇GEOPHYSICS论文的PDF格式为正式版记录。

GEOPHYSICS, published by the Society of Exploration Geophysicists since 1936, is an archival journal that covers all aspects of applied geophysics research, exploration, and education. The journal publishes over 275 geophysics articles annually, divided into six issues, encompassing the entire range of geophysical methods, including seismology, potential fields, electromagnetics, and borehole measurements. GEOPHYSICS is a bimonthly journal that provides the theoretical and mathematical tools necessary to reproduce the described work, encouraging further development and research. Geophysical papers from both industry and academia undergo a rigorous peer-review process to validate the methods and conclusions presented, ensuring the highest editorial and production quality. The editorial team strongly encourages the use of real data, including historical case studies, to highlight current technologies and tutorials that inspire new ideas. Some issues feature a call for papers on specific topics of current interest. Recent thematic sections have focused on seismic anisotropy, subsurface exploration and development, and microseismic monitoring. Each GEOPHYSICS paper is published in PDF format as a formal record.

《Geophysics》是由勘探地球物理学家协会自1936年起出版的一本档案期刊，涵盖应用地球物理学的研究、勘探和教育的各个方面。该期刊每年发表超过275篇地球物理学文章，分为六期，内容涉及地球物理方法的各个领域，包括地震学、势场、电磁学和钻孔测量。《Geophysics》是双月刊，提供重现所描述工作的理论和数学工具，鼓励进一步的发展和研究。来自工业界和学术界的地球物理学论文经过严格的同行评审，以验证所描述的方法和结论，并确保最高的社论和生产质量。编辑部强烈鼓励使用真实数据，包括实际案例历史，以突出当前技术和教程，激发新的想法。某些期刊还设有关于当前感兴趣的特定主题的征集论文部分。近期的专题栏目主要集中在地震各向异性、盐下勘探开发和微震监测等方面。每篇《Geophysics》论文的PDF格式为正式版记录。

Category	Quartile
地球科学	2
地球科学, 地球化学与地球物理	2

A 3D total magnetization inversion applicable when significant, complicated remanence is present

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