Mathematical and Experimental Studies of Dispersion in Porous Media

多孔介质中色散的数学和实验研究

• 批准号: 0001441
• 负责人: Peter Kitanidis
• 金额: $ 18.54万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-02-01 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0001441&HistoricalAwards=false
• 关键词: Mathematical; Experimental; Studies; Dispersion; Porous

0001441KitanidisThe accurate quantitative evaluation of transverse dispersion is crucial in hydrogeology, environmental engineering, and other fields because of the way this process affects solute dilution and mixing of reactants. In many cases, the rate of biochemical reactions depends on the transverse dispersion coefficient. The primary objective of this research is to develop and test a new laboratory method for measuring transverse dispersion. Although there are methods for the laboratory measurement of transverse dispersion in porous media they all are based on the concept of measuring this quantity directly, which is very difficult because transverse dispersion coefficients are small. The proposed method is based on the inference of transverse dispersion from measurements of a quantity is inversely proportional to it. This work will develop and test a device for measurement of the transverse dispersion in homogeneous isotopic porous media. We will measure the Taylor dispersion coefficient in a spiral flow field. A small transverse dispersion means a large Taylor dispersion coefficient that is easy to infer with satisfactory accuracy from the breakthrough curve. The flow and transport in the device will be evaluated through experiments and mathematical modeling. Additionally, we will perform experiments with several unconsolidated porous media in order to evaluate the behavior of dispersivity with grain size and distribution, type of packing, and other variable.

0001441 Kitanidi横向扩散的精确定量评估在水文地质学、环境工程和其他领域中至关重要，因为该过程影响溶质稀释和反应物混合的方式。 在许多情况下，生化反应的速率取决于横向扩散系数。 本研究的主要目的是开发和测试一种新的测量横向色散的实验室方法。 虽然有方法在多孔介质中的横向弥散的实验室测量，他们都是基于直接测量这个量的概念，这是非常困难的，因为横向弥散系数很小。 所提出的方法是基于从测量的量的横向分散的推断是成反比的。这项工作将开发和测试的横向分散均匀同位素多孔介质中的测量装置。 我们将测量螺旋流场中的泰勒弥散系数。 小的横向色散意味着大的泰勒色散系数，其易于从穿透曲线以令人满意的精度推断。 将通过实验和数学建模来评估装置中的流动和传输。 此外，我们还将对几种松散多孔介质进行实验，以评估分散性与粒度和分布、填充类型和其他变量的关系。