Coupling Stochastic and Chaotic-Dynamic Theories with 3d-pptv Experiments to Study Flow and Anomalous Dispersion in Porous Media

将随机和混沌动力学理论与 3d-pptv 实验耦合来研究多孔介质中的流动和反常色散

• 批准号: 0310029
• 负责人: John Cushman
• 金额: $ 34.39万
• 依托单位: Purdue University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0310029&HistoricalAwards=false
• 关键词: Coupling; Stochastic; Chaotic; Dynamic; Theories

Cushman0310029Ongoing theoretical work is supported by innovative laboratory experiments focused on dispersion in single-fluid porous media systems. The experiments are being directed by Prof. Moroni in Italy, and the theory and data analysis are pursued by the PI at Purdue. The experiments use index-matched fluid and solid systems and three-dimensional photogrammetric particle-tracking velocimetry (3D-PPTV). The idea is to use small air bubbles as reflective passive tracer particles to track flow through space and time. From these trajectories, various measures of particle dynamics would be derived, and these measures would be used to test theories on dispersion and related bulk behavior. The specific objectives include 1)Development of a three-camera system for three-dimensional analysis, 2)Use of a moveable light sheet with a single camera to obtain detailed geometry of the porous solid, 3)Construction of globally nonstationary, but locally stationary, heterogeneous media; self similar media; and homogeneous media with graded particle size distribution, and 4)Use of 3D trajectories to obtain the mean-square displacement, local and global velocity distributions, velocity correlation functions, and a variety of other measures. In summary, the PIs would develop a particle-tracking technique, use a moveable light sheet to obtain detailed geometry of the porous matrix, construct a globally non stationary but locally stationary heterogeneous media, and use 3D trajectories to gather data to test transport models for various types of heterogeneity. Accomplishing the goal of more effective modeling of turbulent flow and chemical transport in a wide variety natural and built porous media makes an important contribution to the protection of groundwater quality. The first-time application of an integration of 3D-PPTV and chaotic dynamics provides a valuable new tool for use in validating new modeling ideas and in advancing fundamental theory.

Cushman 0310029正在进行的理论工作得到了专注于单流体多孔介质系统分散的创新实验室实验的支持。 实验由意大利的Moroni教授指导，理论和数据分析由普渡大学的PI进行。 实验使用指数匹配的流体和固体系统和三维摄影测量粒子跟踪测速（3D-PPTV）。 这个想法是使用小气泡作为反射性被动示踪粒子来跟踪空间和时间的流动。 从这些轨迹中，可以推导出粒子动力学的各种测量值，这些测量值将用于测试分散和相关整体行为的理论。 具体目标包括：1）开发用于三维分析的三相机系统; 2）使用具有单个相机的可移动光片来获得多孔固体的详细几何形状; 3）构造全局非平稳但局部平稳的非均匀介质;和具有梯度颗粒尺寸分布的均匀介质，以及4）使用3D轨迹来获得均方位移、局部和全局速度分布，速度相关函数和各种其他测量。 总之，PI将开发一种粒子跟踪技术，使用可移动的光片来获得多孔基质的详细几何形状，构建一个全球非静止但局部静止的异质介质，并使用3D轨迹来收集数据，以测试各种类型异质性的传输模型。实现更有效地模拟各种天然和人工多孔介质中的湍流和化学输运的目标，对保护地下水质量做出了重要贡献。 3D-PPTV和混沌动力学的集成的首次应用提供了一个有价值的新工具，用于验证新的建模思想和推进基础理论。