CMG Collaborative Research: Imaging Magnetization Distributions in Geological Samples
CMG 合作研究:对地质样本中的磁化分布进行成像
基本信息
- 批准号:0934630
- 负责人:
- 金额:$ 21.8万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2009
- 资助国家:美国
- 起止时间:2009-09-01 至 2015-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
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
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核和内部的演变
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Edward Saff其他文献
Energy bounds for weighted spherical codes and designs via linear programming
通过线性规划加权球形代码和设计的能量界限
- DOI:
- 发表时间:
2024 - 期刊:
- 影响因子:0
- 作者:
Sergiy Borodachov;P. Boyvalenkov;P. Dragnev;Douglas Hardin;Edward Saff;Maya M. Stoyanova - 通讯作者:
Maya M. Stoyanova
Edward Saff的其他文献
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{{ truncateString('Edward Saff', 18)}}的其他基金
Applications and analysis of discrete energy and polarization
离散能量和偏振的应用和分析
- 批准号:
1516400 - 财政年份:2015
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Discrete Energy and Polarization Problems on Manifolds with Applications
流形上的离散能量和偏振问题及其应用
- 批准号:
1412428 - 财政年份:2014
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Computational Methods and Function Theory Conference, 2013
计算方法与函数理论会议,2013
- 批准号:
1308241 - 财政年份:2013
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Computational Methods and Function Theory Conference; June 2009; Ankara, Turkey
计算方法与函数理论会议;
- 批准号:
0904132 - 财政年份:2009
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Discrete Minimal Energy Configurations and Related Problems in Potential Theory
势理论中的离散最小能量配置及相关问题
- 批准号:
0603828 - 财政年份:2006
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Computational Methods and Function Theory Conference, 2005
计算方法和函数理论会议,2005
- 批准号:
0500614 - 财政年份:2005
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
US-France International Research Experiences for Graduate Students: Vanderbilt University Department of Mathematics and INRIA-Sophia Antipolis Exchange Program
美法研究生国际研究经验:范德比尔特大学数学系和INRIA-Sophia Antipolis交流项目
- 批准号:
0334769 - 财政年份:2003
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Conference "Advances in Constructive Approximation"
会议“构造近似的进展”
- 批准号:
0242875 - 财政年份:2003
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
Discrete and Continuous Extremal Problems in Approximation Theory
逼近论中的离散和连续极值问题
- 批准号:
0296026 - 财政年份:2001
- 资助金额:
$ 21.8万 - 项目类别:
Standard Grant
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