We present a method for inverting surface magnetic data to recover 3-D susceptibility models. To allow the maximum flexibility for the model to represent geologically realistic structures, we discretize the 3-D model region into a set of rectangular cells, each having a constant susceptibility. The number of cells is generally far greater than the number of the data available, and thus we solve an underdetermined problem. Solutions are obtained by minimizing a global objective function composed of the model objective function and data misfit. The algorithm can incorporate a priori information into the model objective function by using one or more appropriate weighting functions. The model for inversion can be either susceptibility or its logarithm. If susceptibility is chosen, a positivity constraint is imposed to reduce the nonuniqueness and to maintain physical realizability. Our algorithm assumes that there is no remanent magnetization and that the magnetic data are produced by induced magnetization only. All minimizations are carried out with a subspace approach where only a small number of search vectors is used at each iteration. This obviates the need to solve a large system of equations directly, and hence earth models with many cells can be solved on a deskside workstation. The algorithm is tested on synthetic examples and on a field data set.

Yaoguo Li

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

3-D inversion of magnetic data

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