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

这项跨学科的工作将研究地质过程，如裂缝生长和流体流动耦合的水文地质过程，这些过程直接受到机架裂缝的空间结构和演化的影响。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发展一项涉及地球科学定量建模的研究合作。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种基于物理的岩石裂缝随机模型上。这将把概率思想与地质学知识结合起来，以解决岩石裂缝和流体通过它们的现象。

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.