Abstract
The paper presents results of analysis of the industrial sewage discharge influence at km 688 + 250 of the Vistula River on water quality. During the analysis, two-dimensional models of flow, impurities and temperature transport were used. Hydrological conditions of the analyzed section of the river, characteristic flows and bathymetry of the riverbed in the first instance were defined. Calculations of velocity distribution at steady flow conditions were carried out for the mean of the observed low discharges MLQ = 293 m3 s−1. For this purpose, a simplified two-dimensional kinematic model for variable depth of flow was used. The analysis of the impact of the discharge of impurities in steady flow conditions was performed by solving an equation of unsteady transport of pollution. Numerical simulations were carried out for pollution in the form of a non-degradable substance (tracer) and water temperature higher than measured in summer and winter conditions. The analysis included distribution of concentration of contaminants at the discharge site, as well as its range along the river bank.
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References
Crank J (1975) The mathematics of diffusion. Clarendon Press, Oxford
Czernuszenko W (1990) Dispersion of pollutants in flowing surface waters. In: Cheremisinoff NP (ed) Encyclopedia of fluid mechanics, vol 10. Surface and groundwater flow phenomena. Gulf Publishing, Houston, pp 119–168
Elder JW (1959) The dispersion of marked fluid in turbulent shear flow. J Fluid Mech 5(4):544–560
Glowinski R, Pironneau O (1977) Numerical methods for the first biharmonic equation and for the two-dimensional stokes problem, Raport STAN-CS-77-615, May 1977, Computer Science Department, School of Humanities and Sciences, Stanford University
Kalinowska MB, Rowiński PM, Kubrak J, Mirosław-Świątek D (2012) Scenarios of the spread of a waste heat discharge in a river—Vistula river case study. Acta Geophys 60(1):214–231
LeVeque RJ (2002) Finite volume method for hyperbolic problems. Cambridge University Press, New York
Potter D (1980) Computational physics. Wiley, New York
Rutherford JC (1994) River mixing. Wiley, Chichester
Sawicki JM, Zima P (1997) The influence of mixed derivatives on the mathematical simulation of pollutants transfer. In: 4th international conference on water pollution, Bled, Slovenia, pp 627–635
Szymkiewicz R (2010) Numerical modeling in open channel hydraulics. Book Ser: Water Sci Technol Libr 83:1–419
Wielgat P, Zima P (2016) Analysis of the impact of the planned sewage discharge from the ‘North’ power plant on the Vistula water quality. In: 16th international multidisciplinary scientific GeoConference SGEM 2016, Vienna, Book 3 vol 3, pp 19–26
Zima P (2014) Numerical simulations and tracer studies as a tool to support water circulation modeling in breeding reservoirs. Arch Hydro-Eng Environ Mech 61(3–4):113–123
Zima P (2017) Investigations on water circulation in animal sea-water basins—on the example of seals’ breeding pools. Polish Maritime Res 24, No S1(93):224–229
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Zima, P. (2018). Mathematical Modeling of the Impact Range of Sewage Discharge on the Vistula Water Quality in the Region of Włocławek. In: Kalinowska, M., Mrokowska, M., Rowiński, P. (eds) Free Surface Flows and Transport Processes. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70914-7_34
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DOI: https://doi.org/10.1007/978-3-319-70914-7_34
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