References
- Aghababaei, M., Etemad-Shahidi, A., Jabbari, E., Taghipour, M., 2017. Estimation of transverse mixing coefficient in straight and meandering streams. Water Resource Management, 31, 3809–3827. https://doi.org/10.1007/s11269-017-1708-4
- Ambrose, R.B., Barnwell, T.O., McCutcheon S.C., Williams, J.R., 1996. Computer models for water-quality analysis. Chapter 14. In: Mays, L.W. (Ed.): Water Resources Handbook. McGraw-Hill Companies, New York, NY, pp. 14.1–14.28.
- Ani, E.C., Wallis, S., Kraslawski, A., Agachi, P.S., 2009. Development, calibration and evaluation of two mathematical models for pollutant transport in a small river. Environmental Modelling & Software, 24, 10, 1139–1152. https://doi.org/10.1016/j.envsoft.2009.03.008
- Azamathulla, H.M., Wu, F.C., 2011. Support vector machine approach for longitudinal dispersion coefficients in natural streams. Appl. Soft Computing. J., 11, 2, 2902–2905. https://doi.org/10.1016/j.asoc.2010.11.026
- Boxall, J.B., Guymer, I., 2007. Longitudinal mixing in meandering channels: New experimental data set and verification of a predictive technique. Water Research, 41, 341–354.
- Burdziakowski, P., Zima, P., Wielgat, P., Kalinowska, D., 2021. Tracking fluorescent dye dispersion from an unmanned aerial vehicle. Sensors, 21, 11, 3905. https://doi.org/10.3390/s21113905
- Brown, L.C., Barnwell, T.O., 1987. The Enhanced Stream Water Quality Models. QUAL2E - UNCAS - Documentation and User Manual. Athens, USA, 188 p.
- Chapra, S.C., 1997. Surface Water Quality Modeling. McGraw Hill, USA, 1997, 844 p.
- Chau, K.W., 2000. Transverse mixing coefficient measurements in an open rectangular channel. Advances in Environmental Research, 4, 287–294.
- Crowder, R.A., Pepper A.T., Whitlow, C., Sleigh, A., Wright, N., Tomlin, C., 2004. Benchmarking hydraulic river modelling software packages. R&D Technical Report. Defra/Environment Agency. Great Britain, 40 p.
- Daněček, J., Ryl, T., Říha, J., 2002. Determination of longitudinal hydrodynamic dispersion in water courses with solution of Fischer’s integral. J. Hydrology Hydromech., 50, 2, 104–113.
- Deng, Z.Q., Singh, V.P., Bengtsson, L., 2001. Longitudinal dispersion coefficient in straight rivers. J. Hydraulic Eng., 127, 11, 919–927.
- DHI, 2010. MIKE 11 Reference Manual. Danish Hydraulic Institute. Hørsholm.
- Feuerstein, D.L., Selleck, R.E., 1963. Fluorescent tracers for dispersion measurement. Journal of the Sanitary Engineering Division, 89, 4, 1–22.
- Field, M., 2003. Tracer-Test Planning Using the Efficient Hydrologic Tracer-Test Design (EHTD) Program 2005. U.S. Environmental Protection Agency. Washington DC, EPA/600/R-03/034B, 175 p.
- Fischer, H.B., 1967. The mechanics of dispersion in natural streams. Journal of the Hydraulic Division. Proceedings of ASCE, 93, HY6, 187–216.
- Fischer, H.B., List, J., Koh, C., Imberger, J., Brooks, N.H., 1979. Mixing in Inland and Coastal Waters. Academic Press. New York, 483 p.
- Fourier, J., 1822. Théorie analytique de la chaleur. (The analytical theory of heat). Firmin Didot Père et Fils, Paris, 639 p.
- Glover, R.E., 1964. Dispersion of dissolved or suspended materials in flowing streams. US Geological Survey. Professional Paper Vol. 433. https://doi.org/10.3133/pp433b
- Gond, L., Mignot, E., Coz, J.L., Kateb, L., 2021. Transverse mixing in rivers with longitudinally varied morphology. Water Resources Research, 57, e2020WR029478. https://doi.org/10.1029/2020WR029478
- Halmova, D., Miklanek, P., Pekar, J., Pramuk, B., Pekarova, P. 2014. Longitudinal dispersion coefficient in natural streams in Slovakia. Bodenkultur, 65, 3–4, 23–29.
- Han, E.J., Kim, Y.D., Baek, K.O., Seo, I.W., 2019. Relation between transverse dispersion and diffusion at meandering channel in two - dimensional mixing based on tracer tests. Environmental Earth Sciences, 78, 712. https://doi.org/10.1007/s12665-019-8710-5
- HEC-RAS, 2022. Hydrologic Engineering Center’s River Analysis System. USACE. http://www.hec.usace.army.mil (last access: 9 September 2022).
- Holly, F.M., Usseglio-Polatera, J.M., 1984. Dispersion simulation in two-dimensional tidal flow. Journal of Hydraulic Engineering, 110, 7, 905–926.
- Huai, W., Shi, H., Yang, Z, Zeng, Y., 2018. Estimating the transverse mixing coefficient in laboratory flumes and natural rivers. Water Air Soil Pollut., 229, 252. https://doi.org/10.1007/s11270-018-3893-z
- Jeon, T.M., Baek, K.O., Seo, I.W., 2007. Development of an empirical equation for the transverse dispersion coefficient in natural streams. Environ. Fluid Mech., 7, 317–329, https://doi.org/10.1007/s10652-007-9027-6
- Julínek, T., Říha, J., 2017. Longitudinal dispersion in an open channel determined from a tracer study. Environ. Earth Sci., 76, 592. https://doi.org/10.1007/s12665-017-6913-1
- Jung, S.H., Seo, I.W., Kim, Y.D., Park, I., 2019. Feasibility of velocity-based method for transverse mixing coefficients in river mixing analysis. J. Hydraul. Eng., 145, 11. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001638
- Kim, D., 2012. Assessment of longitudinal dispersion coefficients using Acoustic Doppler Current Profilers in large river. Journal of Hydro-environment Research, 6, 1, 29–39. https://doi.org/10.1016/j.jher.2011.06.001
- Knopman, D.S., Voss, C.I., 1987. Behaviour of sensitivities in the one-dimensional advection-dispersion equation: implications for parameter estimation and sampling design. Water Resources Research, 23, 253–272.
- Legleiter, C.J., McDonald, R.R., Nelson, J.M., Kinzel, P.J., Perroy, R.L., Baek, D., Seo, I.W., 2019. Remote sensing of tracer dye concentrations to support dispersion studies in river channels. J. Ecohydraulics, 4, 131–146.
- Legleiter, C.J., Manley, P.V., Erwin, S.O., Bulliner, E.A., 2021. An experimental evaluation of the feasibility of inferring concentrations of a visible tracer dye from remotely sensed data in turbid rivers. Sensors, 12, 1, 57. https://doi.org/10.3390/rs12010057
- Leibundgut, C., Speidel, U., Wiesner, H., 1993. Transport processes in rivers investigated by tracer experiments. In: Proceedings of the Yokohama Symposium Tracers in Hydrology. IAHS Publ. no. 215, pp. 211–217.
- Liu, H., 1977. Predicting dispersion coefficient of streams. Journal of Environmental Engineering Division, 103, 1, 59–69.
- Murphy, E., Ghisalberti, M., Nepf, H., 2007. Model and laboratory study of dispersion in flows with submerged vegetation. Water Resources, 43, 5. https://doi.org/10.1029/2006WR005229
- Martin, J.L., McCutcheon, S.C., Schottman, R.W., 1999. Hydrodynamics and Transport for Water Quality Modeling. Boca Raton. Lewis Publishers. N. Y., 795 p.
- Mc Cutcheon, S.C., 1989. Water Quality Modelling. Vol.-I. Transport and Surface Exchanges in Rivers. CRC Press Inc., pp. 103–110.
- Nadal, A.F., Lozada, J.M.D., Medina, G.P.B., Moro, K.M., Melchiorre, M., Larrosa, N.B., 2021. Longitudinal scattering coefficient obtained by hydroacoustic measurement and by conservative tracer. Revista de Ciencia y Tecnología, 23, 36, p. 53–60.
- Nash, J. E., Sutcliffe, J.V., 1970. River flow forecasting through conceptual model. Part 1 - A discussion of principles. Journal of Hydrology, 10, 282–290.
- Noss, C., Lorke, A., 2016. Roughness, resistance, and dispersion: Relationships in small streams. Water Resour. Res., 52, 2802–2821. DOI: 10.1002/2015WR017449
- Okoye, J.K., 1971. Characteristics of transverse mixing in open channel flows. Ph.D. Thesis. California Institute of Technology, 269 p.
- Oliveira, V.V., Mateus, M.V., Gonçalves, J.C.S.I., Utsumi, A.G., Giorgetti, M.F., 2017. Prediction of the longitudinal dispersion coefficient for small watercourses. Acta Scientiarum Technology, 39, 3, 291–299. https://doi.org/10.4025/actascitechnol.v39i3.29397
- Park, I., Seo, I.W., Shin, J., Song, C.G., 2020. Experimental and numerical investigations of spatially-varying dispersion tensors based on vertical velocity profile and depth-averaged flow field. Adv. Water Resour., 142, 8. https://doi.org/10.1016/j.advwatres.2020.103606
- Perucca, E., Camporeale, C., Ridolfi, L., 2009. Estimation of the dispersion coefficient in rivers with riparian zone. Advances in Water Resources, 32, 78–87.
- Pujol, L.I., Sanchez-Cabeza, J.A., 1999. Determination of longitudinal dispersion coefficient and velocity of the Ebro River waters (Northeast Spain) using tritium as a radiotracer. Journal of Environmental Radioactivity, 45, 39–57.
- Prych, E.A., 1970. Effects of density differences on lateral mixing in open-channel flows. California Institute of Technology, 243 p. DOI: 10.7907/WEDF-B722
- Riahi-Madvar, H., Ayyoubzadeh, S.A., Khadangi, E., Ebadzadeh, M.M., 2009. An expert system for predicting longitudinal dispersion coefficient in natural streams by using ANFIS. Expert Systems with Applications, 36, pp. 8589–8596.
- Rishnappan, B.G., Lau Y.L., 1977. Transverse mixing in meandering channels with varying bottom topography. Journal of Hydraulic Research, 15, 4, 351–370.
- Rutherford, J.C., 1994. River Mixing. Wiley, 347 p. ISBN-0-471-94282-0.
- Sadeghfam, S., Bagheri, A, Razzagh, S., Nadir, A A., Vadiati, M., Senapathi, V., Sekar, S., 2022. Hydrochemical analysis of seawater intrusion by graphical techniques in coastal ‘aquifers to delineate vulnerable areas. In: Groundwater Contamination in Coastal Aquifers, pp. 91–104.
- Sahay, R.R., 2013. Predicting longitudinal dispersion coefficients in sinuous rivers by genetic algorithm. J. Hydrol. Hydromech., 61, 3, 2013, 214–221. DOI: https://doi.org/10.2478/johh-2013-0028
- Sayre, W.W., Chamberlain, A.R., 1964. Exploratory Laboratory Study of Lateral Turbulent Diffusion at the Surface of an Alluvial Channel. U.S. Geological Survey. Open file report 196, 19 p.
- Sayre, W.W., Chang, F.M.A, 1968. laboratory investigation of open-channel dispersion processes for dissolved, suspended, and floating dispersants. Geological Survey Professional Paper, USDI, 433-E, 75 p. https://doi.org/10.3133/pp433E.
- Sayre, W.W., Yeh, T., 1973. Transverse mixing characteristics of the Missouri River downstream from the Cooper Nuclear Station. Technical Report. Iowa Institute of Hydraulic Research, IIHR-145, TRN: 77-016002, 46 p.
- Seo, I.W., Cheong, T.S., 1998. Predicting longitudinal dispersion coefficient in natural streams. J. Hydraul. Eng., 124, 1, 25–32.
- Seo, I.W., Baek, K., Jeon, T.M., 2006. Analysis of transverse mixing in natural streams under slug tests. Journal of Hydraulic Research., 44, 3, 350–362, https://doi.org/10.1080/00221686.2006.9521687
- Shin, J., Seo, I.W., Baek, D., 2020. Longitudinal and transverse dispersion coefficients of 2D contaminant transport model for mixing analysis in open channels. Journal of Hydrology, 583, 1200, 124302. https://doi.org/10.1016/j.jhydrol.2019.124302
- Singh, M.K., Singh, P., Singh, V.P., 2010. Analytical solution for two-dimensional solute transport in finite aquifer with time dependent source concentration. Journal of Engineering Mechanics, 136, 10, 1309–1315. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000177
- Smart, P.L., Laidlaw, I. M.S., 1977. An evaluation of some fluorescent dyes for water tracing. Water Resources Research, 13, 1, 15–33.
- Soares, P.A., Pinheiro, A., Zucco, E., 2013. Determinação do coeficiente de dispersão longitudinal em rios. Revista de Gestão de Água da América Latina, 10, 2, 27–36.
- Sokáč, M., Velísková, Y., Gualtieri, C., 2019. Application of asymmetrical statistical distributions for 1D simulation of solute transport in streams. Water (Switzerland), 11, 10, 2145.
- Sokáč, M., Schügerl, R., Velísková, Y., Dulovičová, R., 2020. Influence of aquatic vegetation on dispersive parameters as a part of hydrodynamic conditions in natural streams. Earth and Environmental Science, 609, 115. https://doi.org/10.1088/1755-1315/609/1/012037
- Tealdi, S., Camporeale, C., Perruca R., 2010. Longitudinal dispersion in vegetated rivers with stochastic flows. Advances in Water Resources, 33, 562–571.
- Toprak, Z.F., Sen, Z., Savci, M.E., 2004. Comment on “Longitudinal dispersion coefficients in natural channels”. Water Research, 38, 13, 3139–3143. DOI: 10.1016/j.watres.2003.08.004
- USEPA, 1989. Exposure Factors Handbook. U.S. Environmental Protection Agency. Office of Health and Environmental Assessment. EPA/600/8-89/043. Washington. D.C., 1216 p.
- Uyigue, L., Abah, M.A., 2020. Evaluation of the longitudinal dispersion coefficient for Dor-Nwezor-Bodo River using tracer experiment and theoretical measurement. Res. Rev. J. Eng. Technol., 9, 1, 6–13.
- Van Genuchten, M.T., Alves, W.J., 1982. Analytical Solutions of the One-dimensional Convective-dispersive Solute Transport Equation. Technical Bulletin No. 1661. United States Department of Agriculture. Washington, 149 p.
- Van Mazijk, A, 1996. One-dimensional approach of transport phenomena of dissolved matter in rivers. Communication on hydraulic and geotechnical engineering. FCE TU Delft. Report No. 96-3, 310 p.
- Van Mazijk, A., Veling, E.J.M., 2005. Tracer experiments in the Rhine Basin: evaluation of the skewness of observed concentration distributions. Journal of Hydrology, 307, 60–78.
- Veliskova, Y., Kohutiar, J., 1992. Two-dimensional model of dispersion in natural channels. J. Hydrol. Hydromech., 40, 5, 409–424.
- Wang, Y., Huai, W., 2016. Estimating the longitudinal dispersion coefficient in straight natural rivers. J. Hydraul. Eng., 142, 11. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001196
- Zeng, Y.H., Huai, W.X., 2014. Estimation of longitudinal dispersion coefficient in rivers. Journal of Hydro-environment Research, 8, 2–8.