Collaborative Research: Application of Wavelets in Modelling and Visualizing Multiscale Phenomena in Geophysics

合作研究：小波在地球物理多尺度现象建模和可视化中的应用

• 批准号: 0242591
• 负责人: Oleg Vasilyev
• 金额: $ 11.78万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-08-01 至 2004-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0242591&HistoricalAwards=false
• 关键词: Collaborative; Research; Application; Wavelets; Modelling

Yuen Vasilyev Wavelets represent a new mathematical tool, developed mostly over the last fifteen years. The fundamental strength of wavelets lies in its inherent ability to achieve very high resolution locally using relatively few localized functions, called wavelets. However, its application in solid-earth geophysics has remained relatively limited. In this three-year proposal a multidisciplinary team, steeped in the skills of applied mathematics, numerical analysis, fluid dynamics and theoretical geophysics, will employ the latest tools from wavelets to address two classes of geophysical problems. These include finite-amplitude viscoelastic deformation in strongly variable viscosity media where thermo-mechanical coupling and mechanical compaction play mutually interacting roles, and modeling of gravity currents in both 2D and 3D geometries with strong thermo-mechanical coupling from variable viscosity and viscous heating. The aim is to disseminate the use of wavelets to the geophysical community in frontier research and basic education of graduate and undergraduate students.

Yuen Vasilyev小波代表了一种新的数学工具，主要在过去的15年中开发。小波的基本强度在于其固有的能力，可以使用相对较少的局部功能（称为小波）在本地实现非常高的分辨率。但是，它在固体地球物理学中的应用仍然相对有限。在这项为期三年的建议中，一个多学科团队充满了应用数学，数值分析，流体动力学和理论地球物理学的技能，将采用从小波的最新工具来解决两种类别的地球物理问题。 其中包括在强大可变的粘度介质中有限振幅粘弹性变形，其中热机械耦合和机械压实起着相互相互作用的作用，以及在2D和3D几何形状中的重力电流建模具有强大的热力学耦合，从可变的粘度和粘液供应中。目的是将小波在边境研究和研究生和本科生的基础教育中传播到地球物理界的使用。