Mathematical Sciences: Fractal Encoding of Rock Fractures

数学科学：岩石裂缝的分形编码

• 批准号: 9201304
• 负责人: Ronald Shonkwiler (Shenk)
• 金额: $ 9.96万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9201304&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Fractal; Encoding; Rock

This project unites the mathematical theory of iterated functions systems with the geophysical (observable) phenomena of rack fractures. The aim is to determine whether or not rock fractures can be characterized by iterated function system codes, and if so, what predictive validity these codes might then have for fracture-related phenomena. This award supports the cross-disciplinary efforts and the development of a research collaboration involving quantitative modelling in the geosciences. In particular the mathematicians and the geophysicists will focus their attention on mathematical models derived from chaotic dynamics to model and predict rock fractures and related phenomena.

该项目将迭代函数系统的数学理论与机架裂缝的地球物理（可观测）现象结合起来。目的是确定岩石裂缝是否可以用迭代函数系统代码来表征，如果可以，这些代码对裂缝相关现象的预测有效性如何。该奖项支持跨学科的努力和研究合作的发展，涉及地球科学的定量建模。特别是数学家和地球物理学家将把他们的注意力集中在从混沌动力学推导的数学模型上，以模拟和预测岩石断裂和相关现象。