CMG Collaborative Research:Imaging Magnetization Distributions in Geological Samples

天然剩余磁场的高分辨率扫描磁性显微镜地图有可能将标准的古地磁技术，如褶皱和砾岩测试、古强度分析和磁性矿物学研究扩展到亚毫米尺度。然而，与体矩磁学不同的是，没有合适的方法来直接测量这种尺度上的磁化强度。相反，必须开发反转技术来从磁场数据中恢复磁化强度。在这个研究项目中，我们将开发数学技术和算法，从地质薄片的磁场图中约束样品中的磁化强度分布。我们还将确定在这些实验条件下磁数据的限制。岩石记录了有关它们形成时存在的过去磁场的宝贵信息。对这些数据的分析揭示了有关地球和太阳系演化的重要信息。扫描磁性显微镜是一种高空间分辨率、高灵敏度的岩石剩余磁场成像新技术。然而，获得的场图只是与记录的古场间接相关，需要一套技术和算法来从测量中提取相关信息。在这个研究项目中，我们将开发数学方法来分析地质样品中的高分辨率磁数据。这些技术最终将被用来了解地球磁场的历史、大陆的过去位置以及地球核心和内部的演化

High-resolution scanning magnetic microscopy maps of natural remanent magnetic fields have the potential to extend standard paleomagnetic techniques like fold and conglomerate tests, paleointensity analyses, and magnetic mineralogy studies to submillimeter scales. However, unlike bulk moment magnetometry, there is no suitable method for directly measuring magnetization at such scales. Rather, inversion techniques must be developed to retrieve magnetization from the magnetic field data. In this research project, we will develop mathematical techniques and algorithms to constrain the magnetization distribution within the sample from magnetic field maps of geological thin sections. We will also establish the limitations of magnetic data under these experimental conditions. Rocks record invaluable information about past magnetic fields present at the time they formed. Analysis of these data has revealed important information regarding the evolution of the Earth and solar system. Scanning magnetic microscopy is a new technique that maps remanent magnetic fields of rocks with high spatial resolution and high sensitivity. However, the field maps obtained are only indirectly related to the recorded ancient field, and a set of techniques and algorithms is necessary to extract the pertinent information from the measurements. In this research project, we will develop mathematical methods to analyze high-resolution magnetic data from geological samples. These techniques will be ultimately be used to understand the history of Earth's magnetic field, the past positions of continents, and the evolution of the Earth's core and interior