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Article

Application of Asymmetrical Statistical Distributions for 1D Simulation of Solute Transport in Streams

1
Department of Sanitary and Environmental Engineering, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 2412 Bratislava, Slovakia
2
Institute of Hydrology, Slovak Academy of Sciences, 2412 Bratislava, Slovakia
3
Department of Civil, Architectural and Environmental Engineering, University of Napoli Federico II, 80100 Napoli, Italy
*
Author to whom correspondence should be addressed.
Water 2019, 11(10), 2145; https://doi.org/10.3390/w11102145
Received: 12 September 2019 / Revised: 4 October 2019 / Accepted: 11 October 2019 / Published: 15 October 2019
(This article belongs to the Special Issue Advances in Environmental Hydraulics)
Analytical solutions of the one-dimensional (1D) advection–dispersion equations, describing the substance transport in streams, are often used because of their simplicity and computational speed. Practical computations, however, clearly show the limits and the inaccuracies of this approach. These are especially visible in cases where the streams deform concentration distribution of the transported substance due to hydraulic and morphological conditions, e.g., by transient storage zones (dead zones), vegetation, and irregularities in the stream hydromorphology. In this paper, a new approach to the simulation of 1D substance transport is presented, adapted, and tested on tracer experiments available in the published research, and carried out in three small streams in Slovakia with dead zones. Evaluation of the proposed methods, based on different probability distributions, confirmed that they approximate the measured concentrations significantly better than those based upon the commonly used Gaussian distribution. Finally, an example of the application of the proposed methods to an iterative (inverse) task is presented. View Full-Text
Keywords: environmental hydraulics; river pollution; longitudinal dispersion; analytical solutions; approximation methods; probability distributions environmental hydraulics; river pollution; longitudinal dispersion; analytical solutions; approximation methods; probability distributions
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MDPI and ACS Style

Sokáč, M.; Velísková, Y.; Gualtieri, C. Application of Asymmetrical Statistical Distributions for 1D Simulation of Solute Transport in Streams. Water 2019, 11, 2145. https://doi.org/10.3390/w11102145

AMA Style

Sokáč M, Velísková Y, Gualtieri C. Application of Asymmetrical Statistical Distributions for 1D Simulation of Solute Transport in Streams. Water. 2019; 11(10):2145. https://doi.org/10.3390/w11102145

Chicago/Turabian Style

Sokáč, Marek; Velísková, Yvetta; Gualtieri, Carlo. 2019. "Application of Asymmetrical Statistical Distributions for 1D Simulation of Solute Transport in Streams" Water 11, no. 10: 2145. https://doi.org/10.3390/w11102145

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