Mathematical Modeling of Pollutant Migration in Unsaturated Fractured Formations

非饱和裂缝地层中污染物运移的数学模型

• 批准号: 9260675
• 负责人: Olurinde Lafe
• 金额: $ 5万
• 依托单位: OLTech Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-01-01 至 1993-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9260675&HistoricalAwards=false
• 关键词: Mathematical; Modeling; Pollutant; Migration; Unsaturated

A mathematical model, using the dual-porosity concept, is proposed for the transport of contaminants in unsaturated fractured rocks. The formation is visualized as a composite of two overlapping continua, the porous mixtrix and the fractures. These two media communicate via interporosity exchange mechanisms that are functions of the difference in the solute concentration (for the specie transport problem) or the pressure (for the fluid flow problem) in the two media. We will examine various mathematical representations of these intermedia exchange terms. A special attention will be paid to radioactive waste. The proposed model is the first step towards developing a comprehensive computer model for assessing the movement of pollutants in unsaturated fractured formations. Our objective is the establishment of a field-consistent mathematical model for the transport process in a variably saturated fractured rock. Approximate analytical solutions using parameter perturbation, asymptotic analyses and transform techniques will be obtained in order to examine key characteristics of contaminant migration in unsaturated fractured formations.

利用双孔隙度概念建立数学模型， 建议用于不饱和土壤中污染物的迁移 破碎的岩石 该地层被视为一个复合物， 两个重叠的连续统，多孔混合层和裂缝。 这两种介质通过孔隙间交换机制进行交流 是溶质浓度差的函数 (for物质传输问题）或压力（对于流体 流动问题）在两种介质中。 我们将研究各种 这些媒介交换项的数学表示。 将特别注意放射性废物。 的 提出的模型是发展一个 综合计算机模型，用于评估 非饱和裂缝地层中的污染物。 我们的目标是 场一致性数学模型的建立 饱和裂隙岩体中的运移过程。 使用参数扰动的近似解析解， 渐近分析和转换技术将获得在 为了研究污染物迁移的关键特征， 非饱和裂缝地层