Correction: Hydrogeology Journal (2023) 31:1291–1309
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An error was made in the definition of the density parameter ρ in Equations 7, 8 and 9 of the original article. It was defined as the bulk density of the aquifer, whereas it should have been the density of pore water. Additionally the density of the aquifer solid matrix ρs, used in equation 11 to compute the retardation factor, was not defined in the original article.
The misuse of the bulk density instead of water density resulted in incorrect values of the computed thermal distribution coefficient, i.e. the bulk thermal diffusivity, and the retardation factor in Table 5. Some of the units were also incorrect. The corrected table is given here.
Table 5
Parameters for heat transport simulation (corrected).
Parametera | Units | Layers | |||||||
|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
θ | - | 0.30 | 0.30 | 0.30 | 0.30 | 0.30 | 0.30 | 0.30 | 0.30 |
ρ | kg/m3 | 1000 | 1000 | 1000 | 1000 | 1000 | 1000 | 1000 | 1000 |
ρs | kg/m3 | 2643 | 2643 | 2643 | 2643 | 2643 | 2643 | 1571 | 2643 |
KT fluid | W/(m˚C) | 0.58 | 0.58 | 0.58 | 0.58 | 0.58 | 0.58 | 0.58 | 0.58 |
KT solid | W/(m˚C) | 0.40 | 1.30 | 2.40 | 2.40 | 1.80 | 2.40 | 1.70 | 2.40 |
KT bulk | W/(m˚C) | 0.45 | 1.08 | 1.85 | 1.85 | 1.43 | 1.85 | 1.36 | 1.85 |
Cp fluid | J/ (kg ˚C) | 4186 | 4186 | 4186 | 4186 | 4186 | 4186 | 4186 | 4186 |
Cp solid | J/ (kg ˚C) | 1255.8 | 1255.8 | 1255.8 | 1255.8 | 1255.8 | 1255.8 | 1255.8 | 1255.8 |
Dm_temp | m2/d | 0.031 | 0.075 | 0.128 | 0.128 | 0.099 | 0.128 | 0.094 | 0.128 |
Kd_temp | m3/kg | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 | 0.0003 |
Rd | - | 2.85 | 2.85 | 2.85 | 2.85 | 2.85 | 2.85 | 2.10 | 2.85 |
As a result, the sub-section ‘Temperature variations in the recovered water in wells’ should be corrected through stating the following: With a corrected retardation factor of 2.85, the average residence time of sources of water contributing to the wells is 74 days, which is sufficiently long to improve the water quality.
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