Introduction
The oxygen bottom blown copper smelting process is a newly developed intensifying smelting process, which has been widely applied to the copper productions in China in the past 10 years [6, 23]. This process was industrially tested initially in the Shuikoushan (SKS) smelter in 1990 and was named originally as “SKS process ”, which is also called BBS (bottom blown smelting ) or BBF (bottom blown furnace ) at present. As the SKS process is being widely applied in recent years [3, 4, 5, 26], fundamental research related to the SKS process is urgently required. Chen [2] studied the slag chemistry of the bottom blown copper smelting furnace at Dongying Fangyuan, and analysed the copper losses in the industrial smelting slags. Shui et al. [18, 19] studied the bath surface wave and mixing phenomena in the bottom blown copper smelting furnace , which provided a better understanding of blowing patterns. Liu et al. [10] studied the phase equilibria of the ZnO–“FeO”–SiO2 and ZnO–“FeO”–SiO2–Al2O3 systems at Po2 10−8 atm, which is close to the SKS smelting condition, and found that the presence of ZnO or Al2O3 in slag significantly increases the liquidus temperature . Zhang et al. [28, 29] analysed gas-liquid multi-phase flows in a SKS furnace to optimize the oxygen lance structure parameters using a CFD method. Yan et al. [28] studied the influence of the lances arrangement on the SKS process , and found an optimal lance inclination angle and spacing distance. Guo et al. [4, 5, 7] studied the mechanism, multiphase interface behavior, and optimization of the SKS process .
Up to date, no work on thermodynamics modeling of the SKS process has been reported. In the present study, a computational thermodynamics model of the SKS process has been developed and validated. The model can then be used to predict matte grade, copper losses in slag , Fe3O4 content in slag , the distribution of minor elements , and the results can be compared with the production data. This work is part of a comprehensive research program to gain more understanding of this new technology .
Method
Mechanism of SKS Process and Behavior of S2
Thermodynamic Model
The SKS process is a typical multiphase and multicomponent system coupled with various chemical reactions. According to the second law of thermodynamics , spontaneous reaction always proceeds towards the direction that the total Gibbs free energy decreases. An isothermal and isobaric chemical system is at equilibrium when the total Gibbs free energy is minimized [8]. It is assumed that the SKS process is under isothermal and isobaric conditions and reaches thermodynamic equilibrium, so the total Gibbs free energy of the SKS system attains its minimum.
At the same time, according to the principle of mass conservation law, the mass of input species or elements to the system should be equal to the mass of the output species and elements and the mole number of each component should be above zero. In this manner, the multiphase equilibrium thermodynamic model is established and component contents at equilibrium can be obtained by finding the minimum value of the total Gibbs free energy under the specific operating conditions with the input and output constraints for all species and elements.
Chemical components in SKS copper smelting process [25]
Phases | Chemical components |
---|---|
Gas | SO2, SO3, S2, O2, N2, H2O, PbO, PbS, Zn, ZnS, As2, AsO, AsS, SbO, SbS, BiS |
Slag | FeO, Cu2S, Cu2O, Fe3O4, FeS, PbO, ZnO, As2O3, Sb2O3, Bi2O3, SiO2, CaO , MgO, Al2O3 |
Matte | Cu2S, Cu, FeS, FeO, Fe3O4, Pb, PbS, ZnS, As, Sb, Bi |
The SKS system is assumed to be under isothermal and isobaric airtight conditions. The smelting temperature is around 1473 K (1200 °C).
Thermodynamic Data
Phase entrainment coefficient in the SKS process
Components | Phase | Activity coefficient |
---|---|---|
Cu2S | Matte | 1 |
FeS | Matte |
|
Cu | Matte | 14 |
FeO | Matte |
|
Fe3O4 | Matte |
|
Pb | Matte | 23 |
PbS | Matte |
|
ZnS | Matte |
|
As | Matte |
|
Sb | Matte |
|
Bi | Matte |
|
FeO | Slag |
|
SiO2 | Slag | 2.1 |
Fe3O4 | Slag |
|
Cu2O | Slag |
|
FeS | Slag | 70 |
Cu2S | Slag |
|
PbO | Slag |
|
ZnO | Slag |
|
As2O3 | Slag |
|
Sb2O3 | Slag |
|
Bi2O3 | Slag |
|
Standard Gibbs free energy of formation of each component (J·mol−1)
Components | State |
|
|
---|---|---|---|
Cu2S | Liquid | −145349 | 43.06 |
FeS | Liquid | −135556 | 43.06 |
PbS | Liquid | −151881 | 79.67 |
ZnS | Solid | −391434 | 203.08 |
Cu2O | Liquid | −137139 | 54.25 |
FeO | Liquid | −259244 | 62.38 |
Fe3O4 | Solid | −1097693.74 | 305.93 |
As2O3 | Liquid | −1215325.18 | 457.37 |
Sb2O3 | Liquid | −687438 | 237.86 |
Bi2O3 | Liquid | −563470 | 257.66 |
PbO | Liquid | −196818 | 79.15 |
ZnO | Solid | −475260 | 208.63 |
SiO2 | Liquid | −912677 | 180.92 |
SO3 | Gas | −459543 | 165.15 |
SO2 | Gas | −361500 | 72.49 |
As2 | Gas | −415418 | 113.24 |
AsS | Gas | −184465 | 45.88 |
AsO | Gas | −257759 | 46.12 |
SbO | Gas | −126601 | −60.35 |
SbS | Gas | 103194 | −59.91 |
BiS | Gas | −0.057 | 96.74 |
PbO | Gas | 60860 | −54.39 |
PbS | Gas | 57812 | −53.83 |
ZnS | Gas | 13200 | 32.15 |
Physical Entrainment
Phase entrainment coefficients in the SKS process
Matte grade | Phase entrainment coefficient | |
---|---|---|
|
| |
50 | 2.2 | 2.8 |
65 | 2.9 | 3.2 |
75 | 3.2 | 3.8 |
Process Data
Composition of the mixed concentrates charge
Elements/Species | Cu | Fe | S | Pb | Zn | As | Sb | Bi | SiO2 | MgO | CaO | Al2O3 | Others |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Content (wt%) | 24.4 | 26.8 | 28.6 | 0.96 | 1.9 | 0.37 | 0.10 | 0.10 | 6.4 | 1.9 | 2.4 | 2.3 | 3.9 |
Operation parameters at Dongying Fangyuan Nonferrous Metals Co . Ltd.
Operation parameters | SKS plant data |
---|---|
Charging speed of dry mixed concentrates (t/h) | 66 |
Water percent in the mixed concentrates (%) | 10.21 |
Charging speed of flux (t/h) | 5.277 |
Smelting temperature (K) | 1475 |
Negative pressure in furnace (Pa) | 50–200 |
Volume of pure oxygen (Nm3/h) | 10885 |
Volume of air (Nm3/h) | 5651 |
Volume of O2 in oxygen-enriched air (%) | 73 |
Oxygen efficiency (%) | 99 |
Calculation Procedure
A particle swarm optimization algorithm, using C# computer programming language and Microsoft Visual Studio, was used to develop the thermodynamic model of the SKS process (SKSSIM). The calculations are carried out by adjusting the ratio of oxygen to ore using the SKSSIM software and the results can be saved in a Microsoft Excel spreadsheet format.
Results and Discussion
Model Validation
Comparison of predictions with actual plant data of matte and slag compositions in the SKS process
Composition (wt%) | Cu | Fe | S | Pb | Zn | As | Sb | Bi | SiO2 | |
---|---|---|---|---|---|---|---|---|---|---|
Plant data | matte | 70.77 | 5.52 | 20.22 | 1.73 | 1.07 | 0.07 | 0.04 | 0.06 | 0.51 |
slag | 3.16 | 42.58 | 0.86 | 0.43 | 2.19 | 0.08 | 0.13 | 0.02 | 25.24 | |
SKSSIM | matte | 70.31 | 4.80 | 20.38 | 1.69 | 1.02 | 0.07 | 0.04 | 0.06 | 0.82 |
slag | 2.93 | 42.07 | 0.73 | 0.37 | 2.08 | 0.07 | 0.12 | 0.02 | 25.18 |
Comparison of predictions with actual plant data of the minor elements distribution in the SKS process
Phase | Plant data (%) | SKSSIM (%) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
As | Sb | Bi | Pb | Zn | As | Sb | Bi | Pb | Zn | |
Matte | 5.91 | 12.31 | 19.10 | 55.61 | 17.76 | 6.23 | 12.58 | 18.74 | 56.71 | 17.35 |
Slag | 12.08 | 71.05 | 11.40 | 24.91 | 64.86 | 11.06 | 72.30 | 11.13 | 23.47 | 66.46 |
Gas | 82.01 | 16.64 | 69.50 | 19.48 | 17.38 | 82.71 | 15.12 | 70.136 | 19.82 | 16.19 |
Tables 7 and 8 provide a comparison of the calculated and actual plant data in the SKS process . Table 7 shows that the predicted matte and slag compositions are in good agreement with the industrial values. The calculated and industrial matte grade are 70.3% and 70.8%, respectively. The calculated and industrial Fe in matte are 4.8% and 5.5%, respectively. Table 8 shows that the calculated and actual plant data for the minor elements distribution between the matte, slag , and gas phases are in good agreement. The calculated content of minor elements in the matte, slag , and gas phases are 6.23%, 11.06%, 82.71% for arsenic, 12.58%, 72.30%, 15.12% for antimony, 18.74%, 11.13%, 70.13% for bismuth, 56.71%, 23.47%, 19.82% for lead , and 17.35%, 66.46%, 16.19% for zinc. With these calculated data, the minor elements distribution trends in the matte, slag , and gas phases can be clearly seen.
The above comparison shows that the agreement between the multiphase equilibrium model predicting data and the industrial data is excellent. Consequently, the reliability of the present multiphase equilibrium model is validated and the model can be further used to predict the element distribution trends or to optimize operating parameters of the SKS process .
Relationship Between Copper Losses in Slag and Matte Grades
The copper losses in slag are commonly considered to originate from two sources: (1) Cu+ ions dissolved in the liquid slag that may be present in Cu2O or Cu2S form; and (2) entrained matte droplets in slag . Various factors affect the copper losses to slag , including both chemical and physical aspects. Dissolved copper loss to slag has been discussed by Yazawa et al. [27], Chen et al. [2], and Shimpo et al. [17] based on laboratory test data. With matte grades above 70%, the results obtained with our model are close to Yazawa’s results. However, with matte grades around 75%, the results are closer to Chen’s results, which are situated between Yazawa’s and Shimpo’s results.
Figure 3 shows that, as the matte grade increases, the total copper loss in iron silicate slag increases. When the matte grade is greater than 70%, the copper loss in slag increases more rapidly. The changes in physical and chemical properties of the slag could account for this phenomenon. As the matte grade increases, the oxygen potential of the SKS smelting system also increases, and more FeO in slag is oxidized to Fe3O4 , which can increase the viscosity of the slag and further reduce the settlement velocity of matte droplets in slag , causing large amounts of copper loss to slag in the form of physical entrainment. This hypothesis was proved by the results of Chen et al. [2] that entrained copper losses account for more than 70% of the total copper losses , with an Fe/SiO2 ratio of 1.7 and a matte grade around 75%.
Compositions of quenched slag sample (wt pct)
Fe3O4 | FeO | Cu(total) | Cu(dissolved) | Cu(entrained) |
---|---|---|---|---|
30.6 | 31.2 | 3.2 | 0.4 | 2.8 |
Minor Element Distributions
As copper concentrates become more and more complex, the control of minor elements is an important issue for all copper smelters. In the present study, the minor elements discussed include lead , zinc, arsenic , antimony and bismuth . The minor elements distribution in the SKS process are compared with the Isasmelt process [12] and the Flash smelting process [23].
Conclusions
A computational thermodynamics model for the SKS process was developed based on the mechanism characteristics of the SKS process and the theory of Gibbs free energy minimization . A good agreement was obtained between the calculation results and the actual plant data, which validated the reliability of the our model of the SKS process . The model was successfully used to predict the copper losses to slag and the distribution of several minor elements (such as Pb, Zn, As, Sb and Bi) between the off-gas, iron silicate slag , and matte phases as a function of copper matte grade by adjusting the ratio oxygen to ore charged in the SKS furnace . We believe our model helps to deepen the understanding of the SKS process and is of great significance to further optimize the operation parameters and to regulate production when the smelter deals with complex copper concentrates with high minor elements content.
Acknowledgements
The authors would like to acknowledge the National Nature Science Foundation of China (No. 51620105013) for financial support, and Dongying Fangyuan Nonferrous Metals Co ., Ltd. for providing the production data.