CMG RESEARCH: Boundary Inverse Problems in Glaciology

CMG 研究：冰川学中的边界反问题

• 批准号: 0724860
• 负责人: Martin Truffer
• 金额: $ 38.36万
• 依托单位: University of Alaska Fairbanks Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-09-15 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0724860&HistoricalAwards=false
• 关键词: CMG; RESEARCH; Boundary; Inverse; Problems

Truffer ? 0724860University of Alaska FairbanksThe rate at which glaciers that terminate in the oceans deliver ice to these oceans is an important constraint on predictions of future sea level rise. This rate depends intimately on the basal velocity of the glacier. This velocity cannot be directly measured with the necessary accuracy and spatial resolution to allow accurate estimation of ice mass flux to the oceans. What can be measured is the surface speed of the glacier. The remaining challenge is to use mathematical models to infer basal velocities from the measured surface velocities. This problem has no straightforward mathematical solution. Techniques known as inverse methods, which are not yet fully understood from a mathematical standpoint, must be used.Funds are provided to develop, test and apply rigorous inverse methods to the problem of finding basal velocity fields under glaciers and ice sheets. The work supported here will explore a set of problems based on nonlinear, isothermal, incompressible ice flow. The goals are to develop methods useful for glaciology, or geophysics in general, and at the same time derive some basic mathematical results about these methods.

特鲁弗？ 0724860阿拉斯加大学费尔班克斯分校终止于海洋的冰川向这些海洋输送冰的速度是对未来海平面上升预测的重要限制。 该速率密切取决于冰川的基础速度。 该速度无法以必要的精度和空间分辨率直接测量，从而无法准确估计流入海洋的冰块通量。 可以测量的是冰川的表面速度。 剩下的挑战是使用数学模型从测量的表面速度推断基础速度。 这个问题没有直接的数学解决方案。 必须使用被称为反演方法的技术，从数学角度来看，这种技术尚未被完全理解。提供资金来开发、测试和应用严格的反演方法来解决寻找冰川和冰盖下的基础速度场的问题。这里支持的工作将探索一系列基于非线性、等温、不可压缩冰流的问题。目标是开发对冰川学或一般地球物理学有用的方法，同时得出有关这些方法的一些基本数学结果。