CMG RESEARCH: Boundary Inverse Problems in Glaciology

Truffer吗?[07:24 . 86]阿拉斯加费尔班克斯大学终止于海洋的冰川向海洋输送冰的速度是预测未来海平面上升的一个重要限制因素。这个速率与冰川的基本速度密切相关。这种速度不能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的质量通量。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底速度。这个问题没有直接的数学解。必须使用被称为逆方法的技术，从数学的角度来看，它还没有完全被理解。为开发、测试和应用严格的逆方法来寻找冰川和冰盖下的基本速度场提供了资金。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。目标是发展对冰川学或一般地球物理学有用的方法，同时得出关于这些方法的一些基本数学结果。

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.