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Numerical analysis of the transport of brine in the Odra River downstream of a mine's discharge Cover

Numerical analysis of the transport of brine in the Odra River downstream of a mine's discharge

Open Access
|Dec 2021

Figures & Tables

Figure 1

(a) Examples of mixing zone for river discharges: (A) a traditional shoreline discharge, (B) a submerged offshore single-port discharge, (C) a regular perpendicular diffuser design and (D) a diffuser design for navigating rivers or rivers with other cross-sectional limitations. BMZ – the width of mixing zone, LMZ – the length of the mixing zone downstream. BMZ at distance LMZ must be greater than BMZ specified in the water legislation [4]. (b) Photo of a fragment of the discharge installation damaged by sediment (after disassembly).

Figure 2

A diagram of the flow of the KGHM mine water [13].

Figure 3

The discharge system during construction.

Figure 4

Cross section of the discharge installation, dimensions in mm [14].

Figure 5

The relationship between the flow of the Odra River and its natural salinity.

Figure 6

Three-dimensional model of the Odra riverbed, with the brine outflow zone marked.

Table 1

The results of the maximum concentration value and the component values of velocity vector ux.

DistanceCase(i)(ii)(iii)Error (ii) - (i), %Error (iii) - (ii), %
X = 250 mCs (kg m−3)0.9910.9990.9970.80−0.14
X = 250 mux (m s−1)0.9991.0001.0000.12−0.13
X = 500 mCs (kg m−3)2.0222.1402.1735.521.52
X = 500 mux (m s−1)1.4421.4481.4370.43−0.71
Figure 7

Image of the brine concentration in the cross section at the end of the model: (a) grid 1 × 1 × 0.5 – 500,000 elements, (b) grid 0.67 × 0.67 × 0.31 – 1,912,500 elements and (c) grid 0.5 × 0.5 × 0.25 – 4,400,000 elements.

Table 2

Measured values of the brine concentration at selected depths in the Odra River upstream and downstream the discharge.

LocationSalinity of the Odra River at selected depths
kg m−3kg m−3kg m−3kg m−3
mmmm
80 m upstream the discharge0.1880.1880.1810.185
2.21.50.60.0
420 m downstream the dischargeLeft riverbank0.6140.5940.5940.565
2.52.00.60.0
Middle of the river's current0.5490.5660.5650.565
2.51.50.50.0
Right riverbank0.2660.2460.2630.257
1.51.00.50.0
Table 3

Brine propagation simulation results (Cs) compared with the measurements of chloride content (Cm) at the end of the model section.

Left riverbankMiddle of the river's currentRight riverbank
hCsCmΔHCsCmΔhCsCmΔ
mkg m−3kg m−3kg m−3mkg m−3kg m−3kg m−3mkg m−3kg m−3kg m−3
0.00.4000.3800.0200.00.2870.380−0.0930.00.2180.0720.146
0.50.4010.413−0.0120.50.2870.384−0.0970.50.2190.0820.137
1.50.4070.4060.0011.50.2900.379−0.0891.00.2200.0590.161
2.50.4100.426−0.0162.50.2920.361−0.0691.50.2240.0780.146
Table 4

Input data and results.

No.QiAiuxiqduzdCdCavgCmax
m3 s−1m2m s−1m3 s−1m s−1kg m−3kg m−3kg m−3
14163.580.6450.2820.0007400.27290.341
25175.250.6780.4250.0010400.33060.341
377.2106.110.7280.7670.0018400.39330.497
4113139.070.8131.4670.0035400.51250.632
5169173.750.9732.0000.0047400.46780.560
6318246.771.2892.0000.0047400.25000.340
Figure 8

Spatial distribution of chloride for low flow 41 m3 s−1 at elevation (a) 68.45, (c) 69.08, (e) 69.38 m asl and for high flow 318 m3 s−1 at elevation (b) 68.45, (d) 69.08, (f) 72.13 m asl.

Figure 9

Distribution of chloride in the cross section at the end of the model for flow values: (a) Qi = 41 m3 s−1, (b) Qi = 51 m3 s−1, (c) Qi = 77.2 m3 s−1, (d) Qi = 113 m3 s−1, (e) Qi = 169 m3 s−1 and (f) Qi = 318 m3 s−1.

Figure 10

Distribution of the concentration of brine in the outlet cross section for (a) Qi = 41 m3 s−1 and (b) Qi=318 m3 s−1.

DOI: https://doi.org/10.2478/sgem-2021-0036 | Journal eISSN: 2083-831X (formerly 0137-124X) | Journal ISSN: 0137-6365
Language: English
Page range: 366 - 379
Submitted on: Oct 23, 2021
Accepted on: Nov 19, 2021
Published on: Dec 22, 2021
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services

© 2021 Szymon Zieliński, Stanisław Kostecki, Paweł Stefanek, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.