Mathematical Sciences: Physically Based Stochastic Models ofFractures and Fluid Flow in Rock

这一跨学科的努力将研究直接受裂缝空间结构和演化影响的地质过程，如裂缝生长和流体流动耦合的水文地质过程。建模将包括裂缝形成的物理模型和随机过程模型。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、统计学家和地球科学家将把他们的注意力集中在开发一个基于物理的岩石断裂随机模型上。这将融合概率思想与地质理解，以解决岩石断裂和流体流经它们的现象。

This interdisciplinary effort will examine geologic processes, such as hydrogeologic processes of coupled fracture growth and fluid flow, that are directly influenced by the spatial structure and evolution of rack fractures. Modelling will incorporate physical models of fracture formation and stochastic process models. This award supports the cross-disciplinary efforts and the development of a research collaboration involving quantitative modelling in the geosciences. In particular, the mathematician statistician and the geoscientists will focus their attention on developing a physically-based stochastic model for rock fractures. This will meld probabilistic ideas with geologic understanding to address the phenomena of rock fractures and fluid flow through them.