On the methods for determining the transverse dispersion coefficient in river mixing |
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| Institution: | 1. Department of Civil, Safety, and Environmental Engineering, Hankyong National University, 327 Joongang-ro, Anseong City, Gyeonggi Province 456-749, Republic of Korea;2. Department of Civil and Environmental Engineering, Seoul National University, San 56-1, Shinlim-dong, Gwanak-gu, Seoul 151-742, Republic of Korea;1. Mathematics Department, Friedrich-Alexander University of Erlangen-Nuremberg, Cauerstraße. 11, Erlangen 91058, Germany;2. Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Fantanele 57, Cluj-Napoca 400320, Romania;3. Institute of Geosciences, University of Jena, Burgweg 11, Jena 07749, Germany;4. Department Computational Hydrosystems, UFZ Centre for Environmental Research, Permoserstraße 15, Leipzig 04318, Germany;1. Institute for Environment, Health and Safety, Belgian Nuclear Research Centre, Belgium;2. Applied and Environmental Geophysics Group, Institute of Earth Sciences, University of Lausanne;3. Institute of Earth Surface Dynamics, University of Lausanne, Lausanne, Switzerland;1. Dipartimento di Ingegneria Civile, Ambiente Territorio e Architettura (DICATeA), Università di Parma, Parco Area delle Scienze, 181/A, Parma 43124, Italy;2. Department of Computer Science, Technion, Israel Institute of Technology, Haifa 32000, Israel;3. Dipartimento di Ingegneria Civile, Chimica, Ambientale e dei Materiali (DICAM), Università di Bologna, Viale Risorgimento, 2, Bologna 40136, Italy;1. Department Aquatic Ecosystem Analysis and Management (ASAM), Helmholtz Centre for Environmental Research (UFZ), Brückstr. 3a, 39114 Magdeburg, Germany;2. Department Hydrogeology, Helmholtz Centre for Environmental Research (UFZ), Permoserstr. 15, 04318 Leipzig, Germany |
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| Abstract: | In this study, the strengths and weaknesses of existing methods for determining the dispersion coefficient in the two-dimensional river mixing model were assessed based on hydraulic and tracer data sets acquired from experiments conducted on either laboratory channels or natural rivers. From the results of this study, it can be concluded that, when the longitudinal dispersion coefficient as well as the transverse dispersion coefficients must be determined in the transient concentration situation, the two-dimensional routing procedures, 2D RP and 2D STRP, can be employed to calculate dispersion coefficients among the observation methods. For the steady concentration situation, the STRP can be applied to calculate the transverse dispersion coefficient. When the tracer data are not available, either theoretical or empirical equations by the estimation method can be used to calculate the dispersion coefficient using the geometric and hydraulic data sets. Application of the theoretical and empirical equations to the laboratory channel showed that equations by Baek and Seo 3], 2011] predicted reasonable values while equations by Fischer 23] and Boxwall and Guymer (2003) overestimated by factors of ten to one hundred. Among existing empirical equations, those by Jeon et al. 28] and Baek and Seo 6] gave the agreeable values of the transverse dispersion coefficient for most cases of natural rivers. Further, the theoretical equation by Baek and Seo 5] has the potential to be broadly applied to both laboratory and natural channels. |
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