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预测未来海平面上升的重要制约因素。 这个速率与冰川的基底速度密切相关。 这种速度无法以必要的准确度和空间分辨率直接测量，无法准确估计流向海洋的冰量。 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来从测量的表面速度推断基底速度。 这个问题没有直接的数学解决方案。 必须使用从数学观点来看尚未完全理解的称为逆方法的技术，提供资金来发展、测试和应用严格的逆方法，以解决寻找冰川和冰盖下的基本速度场的问题。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。其目标是发展对冰川学有用的方法，或一般意义上的冰川物理学，同时导出关于这些方法的一些基本数学结果。