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Two-scale analysis for environmental dispersion in a two-layer wetland
Affiliation:1. State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, Beijing 100875, China;2. NAAM Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;3. Shanghai University of Finance and Economics, Shanghai, China;4. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan;1. Université de Lorraine – CNRS, Laboratoire Interdisciplinaire des Environnements Continentaux, 54506 Vandœuvre-lès-Nancy, France;2. BRGM, 45060 Orléans CEDEX 02, France;3. LTSER France, Zone Atelier du Bassin de la Moselle, 54506 Vandœuvre-lès-Nancy, France;1. Department of Chemistry, University of Beira Interior, R. Marques Avila e Bolama, 6201-001, Covilhã, Portugal;2. FibEnTech, Materiais Fibrosos e Tecnologias Ambientais, R. Marques Avila e Bolama, 6201-001, Covilhã, Portugal;3. Department of Civil Engineering and Architecture, University of Beira Interior, Calçada Fonte Do Lameiro, 6201-001, Covilhã, Portugal;4. School of Environmental Engineering, Technical University of Crete, 73100, Chania, Greece;1. School of Resources and Environmental Sciences, Lanzhou University, Lanzhou 730000, China;2. Key Laboratory of Ecohydrology of Inland River Basin, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Science, Lanzhou 730000, China;3. University of the Chinese Academy of Science, Beijing 100049, China;4. State Key Laboratory of Cryospheric Sciences, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Science, Lanzhou 730000, China;5. Key Laboratory of Desert and Desertification, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Science, Lanzhou 730000, China;6. Institute of Water Resources and Hydropower Research, Beijing 100038, China;1. School of Life Sciences, Capital Normal University, Beijing, 100048, China;2. Soil and Water Science Department, University of Florida, Gainesville, FL, 32611, USA
Abstract:Studies on environmental dispersion are essential for applications as water management. The two-scale perturbation analysis is applied in this paper to deduce the environmental dispersion model for the typical case of contaminant transport in two-layer wetland flows. The analysis follows the established theoretical framework on the basis of phase average and the concept of Taylor dispersion. By the obtained flow velocity distribution for the two-layer flow, the analytical expression for the environmental dispersivity is deduced and shown to be consistent with previous results by the concentration moment method, while with much simplifications on the expression for ignoring the less concerned time-dependent stage of the dispersivity.
Keywords:Water management  Two-layer wetland  Environmental dispersion  Two-scale analysis
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