CMG Collaborative Research:Imaging Magnetization Distributions in Geological Samples

高分辨率扫描磁显微镜地图的自然反射磁场有可能扩展标准的古地磁技术，如褶皱和砾岩测试，古强度分析，磁性矿物学研究，以亚毫米尺度。然而，与体矩磁强计不同，没有合适的方法直接测量这种尺度的磁化强度。 相反，必须开发反演技术来从磁场数据中检索磁化。 在这个研究项目中，我们将开发数学技术和算法，以约束样品内的磁化强度分布从地质薄切片的磁场图。我们还将确定在这些实验条件下磁数据的局限性。 岩石记录了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。扫描磁显微镜是一种高空间分辨率、高灵敏度的岩石反射磁场测绘新技术。 然而，所获得的野外地图仅与有记录的古代野外间接相关，并且需要一套技术和算法来从测量中提取相关信息。在本研究项目中，我们将开发数学方法来分析地质样品的高分辨率磁测数据。 这些技术最终将用于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变

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