Magnetic anomalies are interpreted for subsurface geological information. Three-dimensional inversion of magnetic data is a challenging quantitative approach for interpreting the data. The rapid iterative migration technique could be a good and fast alternative for the inversion method. The focusing iterative migration that employs a focusing stabilizer can generate focused migration models which justify geological interfaces, adequately. This paper introduces a new algorithm using a relaxed steepest descent method and a sigmoid stabilizer for fast focusing migration of magnetic fields. The developed method can improve the computational efficiency of focusing iterative migration by reducing the required iterations. The better performance of the new method is demonstrated by two numerical models and a real case study. The magnetic anomaly over San Nicolas massive sulfide deposit in Mexico is used for the case study. Compared with the drilling information, the iterative migration methods produce robust migration models for the San Nicolas deposit.

解释了磁异常，以获取地下地质信息。磁数据的三维反演是用于解释数据的具有挑战性的定量方法。快速迭代迁移技术可能是反演方法的一种很好且快速的替代方法。使用聚焦稳定器的聚焦迭代偏移可以生成聚焦偏移模型，该模型可以充分证明地质界面的合理性。本文介绍了一种使用松弛最速下降法和S形稳定器的新算法，用于磁场的快速聚焦迁移。所开发的方法可以通过减少所需的迭代次数来提高聚焦迭代迁移的计算效率。通过两个数值模型和一个实际案例研究证明了该新方法的更好性能。案例研究使用了墨西哥圣尼古拉斯大规模硫化物矿床的磁异常。与钻探信息相比，迭代偏移方法为San Nicolas矿床提供了鲁棒的偏移模型。