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Article

Optimization Studies on Biological Desulfurization of Sulfide Ore Using Response Surface Methodology

1
School of Minerals Processing and Bioengineering, Central South University, Changsha 410083, China
2
Key Laboratory of Biometallurgy of Ministry of Education, Changsha 410083, China
3
School of Resources and Safety Engineering, Central South University, Changsha 410083, China
4
State Key Laboratory of Comprehensive Utilization of Low-Grade Refractory Gold Ores, Shanghang 361101, China
*
Author to whom correspondence should be addressed.
Minerals 2021, 11(6), 583; https://doi.org/10.3390/min11060583
Submission received: 28 April 2021 / Revised: 25 May 2021 / Accepted: 28 May 2021 / Published: 31 May 2021
(This article belongs to the Section Mineral Processing and Extractive Metallurgy)

Abstract

:
This research aimed to optimize the experimental conditions of biodesulfurization of sulfide ore and to evaluate the flame-retardant effect after desulfurization under optimal conditions. Six experimental factors were determined: particle size of ore sample, ambient temperature, rotary speed of the shaking table, volume of bacteria liquid, concentration of leaching aid (Tween80), and pH value of acidizing ore sample. Desulfurization efficiency was used as the main characterization index of the desulfurization effect in optimization studies. Particle size of ore sample, rotary speed of the shaking table, and volume of bacteria liquid inoculated were selected as significant factors by a Plackett–Burman experiment. Modeling, optimization, and analysis of the interactive effects of these factors, notably between particle size and bacteria liquid, were performed using a Box–Behnken design with response surface methodology. The optimum operating conditions were found to be: particle size of 120 to 140 mesh, rotary speed of 175 rpm, and bacteria liquid of 111 mL. Under these conditions, a significant rise of 8.1% was seen in 5-day average desulfurization efficiency. The 5-day oxidation weight gain rate of desulfurized ore was 2.73%, while that of the control group was 4.78%. The results show that, after optimized desulfurization, the surface oxidizability and spontaneous combustion tendency of the ore are reduced.

1. Introduction

Copper, nickel, lead, and other precious metals can be mined from sulfide ores. Sulfide ore oxidizes and produces heat because of its interactions with oxygen. As the heat produced by oxidation of the ore pile is greater than the heat radiated externally, the stored heat causes the temperature of the accumulated sulfide ore to eventually rise. There is spontaneous combustion in the sulfide ore when the temperature exceeds the ignition point [1,2]. The physicochemical processes of thermal runaway, which occur due to the accelerating oxidation reaction of sulfide ore and oxygen in the air even under atmospheric conditions, are referred to as “spontaneous combustion of sulfide ore stockpiles” [3]. Previous studies have reported that there are spontaneous combustion risks in about 20–30% of pyrite and 5–10% of nonferrous metal or polymetallic sulfide mines in China [4,5], and many metal mining areas have been harmed by the spontaneous combustion of sulfide ore [6,7]. One of the most common mine hazards is fire caused by spontaneous combustion of sulfide ore, which not only leads to considerable economic loss but also puts underground workers’ lives in danger [8,9,10]. As a result, there is a growing focus on research into developing methods to investigate spontaneous combustion disasters. Some progress has been made so far in the research areas of the process, propensity estimation, and prevention of spontaneous combustion of sulfide ores [2,11,12,13,14,15]. The spontaneous combustion of sulfide ore must satisfy three elements: spontaneous combustion tendency, sufficient oxygen supply conditions, and heat gathering environment [16]. At present, the mainstream flame-retardant technology for sulfide ore mainly solves the latter two elements, such as using ventilation technology to improve the heat dissipation efficiency of ore piles and spraying the surface of ore piles with an inhibitor (which consists of foaming agent, foam-stabilizing agent, gelling agent, and cross-linking agent in gel foam materials [17]) to isolate oxygen. Froth flotation has been used to reduce the sulfur contents of tailings [18]. It has been proven that it is feasible to reduce the spontaneous combustion tendency of sulfide ore through microbial desulfurization. Biodesulfurization technology can overcome the disadvantages of other technology, such as by its simple operation, cheap raw materials, mild reaction conditions, and less environmental pollution. Moreover, its application is suitable in a more diverse working environment.
Microbial desulfurization technology has been widely used in the fields of petroleum desulfurization [19], biogas desulfurization [20], and coal desulfurization [21] to reduce the emission of SO2 and the environmental impact. However, research on the microbial desulfurization law and desulfurization effect optimization of sulfide ores is still lacking. Therefore, further research is required not only to promote biological flame-retardant methods for sulfide ores but also to generate some new ideas for relevant research fields in the prevention of sulfide ore spontaneous combustion. Bacterial strains such as Acidithiobacillus ferrooxidans and Acidithiobacillus thiooxidans have been used in bioleaching over the years, and they have made significant contributions [22]. Owing to their success in the field of bioleaching, they are currently utilized in the field of ore desulfurization, which not only reduces the spontaneous combustion tendency of raw ore but also reduces the generation of acid mine water in contaminated mines. In the field of sulfide ore biodesulfurization, some researchers separated pyrite and chalcopyrite from quartz and calcite after interaction with bacterial cells and bacterial biomass [23] and explored the effect of pH buffers on microbial desulfurization efficiency [24]. Previous studies have reported on the use of surfactants to enhance the desulfurization effect, promote contact between bacteria and the ore, and improve the leaching of sulfide ores [25]. At present, most of the microorganisms used in ore leaching are autotrophic bacteria, which only need simple inorganic materials, eliminating the need for complex organic matter in the leaching process. Among the main microorganisms used in ore desulfurization are Thiobacillus thiooxidans, Thiobacillus ferrooxidans, Acidithiobacillus caldus, and Sulfolobus acidocaldarius.
Response surface methodology (RSM) is a visual, nonlinear, and multivariable optimization method based on the multiple regression method, combining specific statistical methods to solve nonlinear and multivariable problems and provide visual analysis results. It is a commonly used tool in the fields of environmental engineering, food chemistry, mechanical engineering, and biological science, which aids researchers in total device optimization and optimal product design at the level of experimental variables. In this experiment, RSM was used to optimize the desulfurization process of sulfide ore, which ensured the simplicity and accuracy of model parameter calculation within a limited time. By this methodology, the regression equation of each factor and response value can be obtained, the relationship between each factor can be visualized, and high-order design and simulation can be carried out step by step, which has advantages in optimizing test conditions.
The above is also the key problems that this article will focus on. Therefore, pyrite was used as an experimental material in this study. Firstly, a Plackett–Burman experimental design was used to screen out the significant factors affecting microbial desulfurization; secondly, the best factor level combination was found by a Box–Behnken experimental design; finally, a microbial sulfur leaching test was carried out with the optimized combination or non-optimized combination, and then an oxidation weight gain experiment was carried out on the sulfide ore after desulfurization. The above three experiments verify the accuracy of the experimental conclusions of this article. This research has important theoretical significance and lays a foundation for subsequent practical applications.

2. Materials and Methods

2.1. Sources of Ore Samples

The ore samples used in this study were collected from Tongshan, Anhui Province. The Tongshan deposit is a medium ore-body, which is an Fe-Cu-Au-Ag polymetallic skarn deposit. The ore types of the mining area are mainly copper-bearing pyrite and copper-bearing magnetite. Since the 1990s, many cases of accidents due to spontaneous combustion of sulfide ore have been reported, which have resulted in the waste of ore resources and economic losses. The samples were characterized by X-ray diffraction. The results in Figure 1 show that their main components were pyrite, marcasite, quartz, calcite, kaolinite, mica, gesso, ferrodolomite, siderite, and magnetite.

2.2. Bacteria and Media

The primary strain for the experiment was Acidithiobacillus caldus, which was obtained from School of Minerals Processing and Bioengineering, Central South University. The medium used to cultivate and domesticate the bacteria was a 9K liquid medium, which included 3 g (NH4)2SO4, 0.1 g KCl, 0.5 g K2HPO4, 0.5 g MgSO4·7H2O, and 0.1 g Ca(NO3)2. Ten percent of the bacteria were inoculated, and 2 g of sulfide mineral powder was added to every 100 mL medium and incubated at 45 ℃ for 7 days until the bacteria count was 5.35 × 107 cells/mL. All chemicals were of analytical grade.

2.3. Analytical Techniques

The total sulfur concentration in the solution was determined by Inductively Coupled Plasma Optical Emission Spectrometry (ICP-OES), and the desulfurization effect was determined by 5-day average desulfurization efficiency (mg/d), which was calculated by Formula (1).
The standard curve of sulfur was established before sample determination. According to the measuring range of the instrument, six points were set on the standard curve: 0, 20, 40, 60, 80, and 100 mg/L, and the correlation coefficient of the linear regression equation of the curve was above 0.999. To eliminate contaminants in the solution, all test samples were centrifuged at 8000 rpm for 5 min, and the supernatant was obtained, followed by a 100-fold dilution. All experiments were carried out in triplicate, and arithmetic averages were used throughout the data analysis and calculations.
𝑃𝑖 = (𝛼𝑖 − 𝛼0)/𝑖 × V
In this formula:
  • 𝑃𝑖 = the desulfurization efficiency on day 𝑖, in mg/d;
  • 𝑖 = reaction days, in d;
  • 𝛼𝑖 = sulfur concentration in bacteria solution after 𝑖 days of desulfurization, in mg/L;
  • 𝛼0 = sulfur concentration in bacteria solution before desulfurization, in mg/L; and
  • V = volume of desulfurization solution, in L.

2.4. Optimization of Microbial Desulfurization of Sulfide Ore

2.4.1. Plackett–Burman Design

A Plackett–Burman design was used to determine the significant factors that influence the desulfurization effect. The six experimental factors selected were particle size of ore sample, ambient temperature, rotary speed of the shaking table, volume of bacteria liquid, concentration of leaching aid, and pH value of the acidizing ore sample. In our previous study, different types of leaching aid were compared, and Tween80 proved to be the best [25]. Therefore, Tween80 was chosen as the leaching aid in this experiment. Each variable was assessed at two coded levels, −1 or +1, as shown in Table 1. According to the experimental design, 20 g of ore sample was taken for acidification treatment to reduce the surface pH. After standing for an hour, the upper acid solution was extracted and the ore samples were dried at room temperature. After that, the desulfurizing solution was prepared by mixing the cultured bacteria solution with a 9K medium at a ratio of 1:1 and leaching aid added. Then, 20 g of ore was mixed with the desulfurization solution and put onto a shaking table with the corresponding temperature and speed for five days. At the beginning and end of desulfurization, a small amount of medium was taken to determine the sulfur concentration.

2.4.2. Response Surface Methodology Analysis

According to the significant factors found in the Plackett–Burman design, five groups of the steepest climbing tests were designed to obtain the best value range and center point of significant factors to ensure the effectiveness of the fitting method.
As per the three significant factors and center points identified by the above experiments, a Box–Behnken design of three factors and three levels (−1, 0, +1) was further carried out. We conducted 15 experimental designs generated by Design-Expert. The results obtained were used to evaluate the optimized condition of the sulfur removal.

2.5. Verification Experiment of Microbial Leaching Flame Retardancy

The spontaneous combustion tendency of sulfide ore was identified by the oxidation weight gain to verify whether the optimized conditions reduce the spontaneous combustion tendency of sulfide ore. The oxidation weight gain rate of sulfide ore in 5 days was used as an index to measure the spontaneous combustion tendency of ore samples at ambient temperature.

2.5.1. Bioleaching Experiment

Three groups were set up for the experiment; the optimization group (Group 1), the non-optimization group (Group 2), and the control group (Group 3). In the optimization group, conditions were set based on the optimization results of the previous experiment; in the control group, the bacteria liquid was changed to an equal amount of ultrapure water, and samples were placed on the same shaker table for five days. Each group was replicated five times to determine desulfurization efficiency and surface desulfurization rate.

2.5.2. Oxidation Weight Gain Experiment

Three groups comprising dried ore samples and untreated ore samples (the fourth group) were weighed. Then, 50 g of each was evenly spread onto petri dishes with a diameter of 7.5 cm and incubated at a constant temperature of 40 ℃ and the humidity set at 90% for 5 days. The quality of each group of ore samples was weighed and recorded every 12 h. Triplicate samples were taken for the measurements of oxidation weight gain rate.
The calculation of oxidation weight gain rate of ore samples is given in Formula (2).
𝑃𝑖 = ∆W/W0 = (WiW0)/W0 × 100%
In this formula:
  • Pi = the oxidation weight gain rate on day i, in %;
  • ∆W = the added weight on day i, in g;
  • Wi = the ore sample weight on day i, in g; and
  • W0 = the initial weight of ore sample, in g.

3. Results

3.1. Optimization Results of Microbial Desulfurization Process for Sulfide Ore

3.1.1. Plackett–Burman Experimental Design and Results

A Plackett–Burman experimental design with 12 runs and 11 factors was selected (Table 2). In the table, A–F represent experimental factors listed in Table 1 while G–K represent blank items.
The above data were imported into Design-Expert for notability analysis. The analysis of variance (ANOVA) results of the experiment are shown in Table 3.
The p-value of the model was less than 0.05, which indicated that the fitting of the model was reliable. The F value and p-value of the factors in the Plackett–Burman experiment are as shown in Table 3. The importance of the experimental factors was ranked as A > C > D > F > E > B, and significance levels (α = 0.05 and p < 0.05) were taken as criteria for significant factors. A (particle size of ore sample), C (rotary speed of the shaking table), and D (volume of bacteria liquid) were selected for optimization.
Our results showed that the factors and response value (R1) were fitted. The 5-day average biodesulfurization efficiency with independent factors was measured using Formula (3).
R1 = 26.80551 + 8.59692A + 1.07841B + 7.79959C + 6.54156D + 1.26975E − 5.79084F

3.1.2. Design and Results of the Steepest Climbing Test

Factors A, C, and D all had positive effects on response value, according to Formula (3). As a result, the climbing directions of these three variables were positive in the steepest climbing experiment, and their levels steadily increased. The ore sample particle size phase length was set to 20 mesh, the rotation speed was set to 10 rpm, and the bacteria liquid volume was set to 10 mL based on the impact value. The experimental design and result are as shown in Table 4 and Figure 2.

3.1.3. Box–Behnken Design

As shown in Figure 2, the fourth group’s 5-day average desulfurization efficiency was the highest, hence the fourth group’s condition was selected as the response surface’s center point. The levels of the central point were set as follows: the particle size of the ore sample was 120–140 mesh, the shaker rotation was 170 rpm, and the bacteria liquid volume was 110 mL.
Three levels of −1, 0, and +1 were set for the three factors, among which the zero level (0) was set according to the center point of the response surface. The Box–Behnken experimental level design is shown in Table 5.
We set blocks = 1 and runs = 15 and took the 5-day average desulfurization efficiency as response value R1. The design and results of the Box–Behnken experiment are as shown in Table 6.

Fitting of Quadratic Model and Design of Experiment

Using the above data for model fitting analysis, the multiple quadratic regression equation of the response value and these three factors was obtained as follows.
R1 = 105.69144 + 7.32937A + 6.47691C + 0.68650D − 0.45338AC − 1.40323AD + 0.52935CD − 15.01851A2 + 0.89353C2 − 2.25202D2
In a coordinate system, the abscissa represented the actual measured 5-day average desulfurization efficiency, and the ordinate represented the 5-day average desulfurization efficiency predicted by the above regression equation. The corresponding relationship between the actual value and the predicted value drawn in the coordinate system is shown in Figure 3.

Analysis of Variance for Response Surface Quadratic Model

The significance of experimental factors, their interaction, and the ANOVA results of the Box–Behnken experimental design are shown in Table 7.
Table 7 shows the F value (406.94) and p-value (<0.0001) of the response surface model. The results showed that the fitting of the whole model was significantly reliable and had statistical significance. The results were in accordance with the Plackett–Burman analysis of variance, which revealed that the p-values of particle size (A), rotation speed (C), and volume of bacterial liquid (D) were all less than 0.05, with the p-values of A and C being the most significant (0.0001). This indicated that the effect of ore sample size and rotation speed on the 5-day average desulfurization efficiency was more significant than that of bacterial liquid volume. The p-value of AD was less than 0.05, indicating that the interaction between ore sample size and bacterial liquid volume had a significant effect on the response value. The p-values of A2 and D2 were less than 0.05, which showed that the quadratic term of ore sample size and bacterial liquid volume had a significant effect on the response value. The model’s lack of fit had a p-value greater than 0.05, indicating that it was not significant.
The correlation coefficient R2 of the model was 0.9986, which corresponded with 99.86% of the experimental prediction data, indicating that the model was well-correlated. The adjusted determination coefficient (Adj) R2 of the model was 0.9962, which also proved that the model was significant.

Graphical Analysis of Biodesulfurization

According to the Box–Behnken experimental results in Table 7, a 3D response surface and contour map (Figure 4) was generated by Design-Expert, which describes the change of the response value under the interaction of two factors. The curvature and color of the response surface reflect the significant degree of influence of the two factors on the response value, while the shape and color of the contour reflect the strength of the interaction between the two factors.
The contour line was almost a straight line at a lower level of ore sample particle size (Figure 4A), indicating that the interaction between the particle size and the rotation speed was not apparent, and particle size had a greater effect on desulfurization efficiency than rotation speed. With the increase in the particle size level, the contour line gradually curved, which showed that this interaction increased the speed of the shaking table. When the particle size was close to the 0 level and the rotation speed was close to the +1 level, the color of the graph was the deepest, indicating that the performance was at its peak.
In addition, the results from Figure 4B show the contour line, describing the interaction between ore size and bacterial liquid volume as elliptical. This indicated that there was a significant interaction on desulfurization efficiency. The interaction became stronger and then weakened as their level increased. The color was the deepest when the particle size and the amount of bacterial liquid were all near the 0 level. This also caused an increase in desulfurization efficiency.
The most obvious feature was that the response surface was close to the plane (Figure 4C), indicating that the interaction between the rotation speed of the shaking table and the volume of bacterial liquid was insignificant. Moreover, the contour line was approximately parallel to the vertical axis, which showed that the influence of the rotation speed was greater than that of the other factor.
By restraining the level range of factors, the level combination of various factors under the maximum 5-day average desulfurization efficiency was found as follows: ore particle size of 120–140 mesh, shaking table speed of 175 rpm, and bacterial liquid volume of 111 mL.

3.2. Results of Microbial Leaching Verification Experiment

3.2.1. Desulfurization Efficiency and Surface Desulfurization Rate

The 5-day average desulfurization efficiencies of Groups 1 and 2 are shown in Table 8.
The surface sulfur content of the four groups of ore samples is shown in Table 9.
Group 1 had a desulfurization efficiency of 114.25 mg/d, while Group 2 had a desulfurization efficiency of 94.49 mg/d, as seen in Table 9. Additionally, Table 8 shows that the surface desulfurization rate of optimized Group 1 was 13.8% whereas that of Group 2 was 9.0% based on Formula (1). The surface desulfurization rate was increased by 53.3%, which demonstrated a significant improvement in the desulfurization effect.
The energy spectrum and backscatter diagram (Figure 5) were made using Energy Dispersive Spectrometry (EDS). Comparing the results of Groups 1 and 2 with those of the original ore Group 4, it was found that after desulfurization, the contents of S, Si, and other elements decreased on the ore surface, and the particle size of the ore also decreased, which indicates that the bacteria acted on the surface of the ore sample and reacted with the solid sulfide on the surface.

3.2.2. Results of Oxidation Weight Gain Experiment

From Figure 6, it can be seen that the 5-day oxidation weight gain rates of Groups 1 and 2 after bacterial desulfurization treatment were lower than those of Groups 3 and 4 without desulfurization treatment. Calculated from Formula (2), the 5-day oxidation weight gain rate of optimized Group 1 (2.73%) was lower than that of non-optimized Group 2 (3.25%), and that of the control Group 3 (4.78%) was close to the original Group 4 (4.90%).

4. Discussion

Optimizing the factors of biodesulfurization can improve the desulfurization rate. In this study, by optimizing the three factors the surface desulfurization rate was increased by 53.3%. In previous studies, the surface desulfurization rate was also significantly improved by optimizing the single factor of surfactant concentration [25]. In this study, six desulfurization-related factors were considered, three of which were optimized, and the effect was more prominent. Previous studies have shown that the leaching efficiency can be improved through the combined leaching of different ores [26,27], which is to improve the leaching of other elements by increasing the concentration of iron ions in the solution. The sulfide ore used in this study is mainly pyrite. In previous studies [28,29,30], Acidithiobacillus caldus was mainly used in biometallurgy, for low-grade ores with low sulfur content. Sulfide ores with high sulfur concentration were desulfurized in this study, which is more conducive to improving desulfurization efficiency because it is more suited to the action of Acidithiobacillus caldus.
Among the three factors optimized by response surface methodology (RSM) in this study, the particle size of sulfide ore proved to be the most significant factor, because the finer the mineral, the larger the contact area with the bacterial solution. Our results showed that desulfurization efficiency first increases and then decreases as shaker speed increases. This suggests that higher spinning speed increases the interaction potential between microorganisms and sulfide ore, promoting desulfurization. However, at high speeds, the interruption of cells occurs, resulting in low desulfurization [31]. The volume of the bacterial solution determines the content of bacteria and culture medium. The greater the volume of bacteria liquid, the higher the desulfurization efficiency, but, in this study, too much bacterial liquid reduced the efficiency of biological desulfurization. In previous studies [31,32,33], RSM was used to optimize some factors affecting the reaction. The main selected factors were generally temperature, pH, concentration, and stirring speed, which is similar to the content of this study.
The weight increase caused by oxidation was greatly decreased in this experiment by removing sulfur from the surface of minerals. The high sulfur concentration of ore has been proven in previous studies to play a significant role in triggering spontaneous combustion and severe acid mine drainage [34]. Wang et al. (2013) in their work found that after desulfurization, the weight gain rate due to oxidation is reduced, and the spontaneous combustion point increased, reducing the risk of spontaneous combustion [35]. Therefore, it can be concluded that using microorganisms to desulfurize sulfide ore can effectively inhibit the oxidation reaction on the surface of the ore, thereby reducing the heat release, aggregation on the surface, and the possibility of spontaneous combustion of the ore. Optimizing the experimental conditions of microbial desulfurization effectively increases the desulfurization efficiency and ore surface desulfurization rate, and the optimized desulfurization has a better result in inhibiting the oxidation reaction on the ore surface, which meets this experiment’s impact expectations.
Microbial desulfurization technology is a hot research topic now. This technology is widely used in coal and oil fields, but it is rarely used in the field of ore desulfurization. Before large-scale application, there is still a lot of research work to be done, such as on the laws of the desulfurization process, optimization of bacterial reaction conditions, etc. There is a need to expand the scale of the experiment step by step, from shake flask, to stirring, to column leaching. Therefore, a lot of experiments and analysis still need to be carried out, which will be applied in the field of mine safety as soon as possible.

5. Conclusions

The spontaneous combustion and biodesulfurization leaching of sulfide ore were investigated in this study, with the bioleaching conditions being optimized. This was done to increase the sulfide ore’s final desulfurization effect and to ensure the feasibility and reliability of biodesulfurization technologies in the field of sulfide ore flame retardants. Three significant factors were selected from six experimental factors by a Plackett–Burman experiment.
A steepest climbing experiment to determine the level of the center point of the response surface was conducted. The results showed that the response surface model was well-fitted. The response surface visual analysis revealed interactions between the three experimental factors: particle size, shaking table speed, and volume of bacteria liquid, with the interaction between particle size and bacterial liquid volume being the most significant. The optimal combination was found by constraining the level range of factors. In the verification experiment carried out under the optimized conditions, the average value of desulfurization efficiency was 114.28 mg/d, which was consistent with the prediction, and the average desulfurization efficiency after 5 days of optimization had increased by 8.1% compared with the previous one.
Through a Box–Behnken experiment, it was found that after optimization, the 5-day average desulfurization efficiency and surface desulfurization rate were significantly improved. The results of 5-day oxidation weight gain were as follows: optimized group 2.73%, non-optimized group 3.25%, and original group 4.90%. These results suggest that optimized treatment can effectively inhibit the oxidation reaction on the ore surface, reduce the possibility of ore spontaneous combustion, and produce a better flame-retardant effect.

Author Contributions

Conceptualization, J.T., Y.F., Z.W., S.Z., E.K.S., W.P., and H.L.; methodology, J.T., and Y.F.; software, Y.F.; validation, J.T., Y.F., H.J., and R.Y.; formal analysis, W.P. and Z.W.; writing—original draft preparation, J.T. and E.K.S.; writing—review and editing, J.T. and E.K.S.; visualization, J.T., Y.F., and R.Y.; funding acquisition, H.L. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Key R&D Program of China, grant number 2018YFC1801804, National Natural Science Foundation of China, grant number 51504298, and Natural Science Foundation of Hunan Province, grant number 2017JJ3160.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. XRD patterns of the ore samples.
Figure 1. XRD patterns of the ore samples.
Minerals 11 00583 g001
Figure 2. Histogram of the steepest climbing test results.
Figure 2. Histogram of the steepest climbing test results.
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Figure 3. The corresponding relationship between the actual value and the predicted value.
Figure 3. The corresponding relationship between the actual value and the predicted value.
Minerals 11 00583 g003
Figure 4. Three-dimensional plots and contour plots showing the effect of (A) particle size and rotary speed of shaking table, (B) particle size and volume of bacteria liquid, and (C) rotary speed of shaking table and volume of bacteria liquid on biodesulfurization.
Figure 4. Three-dimensional plots and contour plots showing the effect of (A) particle size and rotary speed of shaking table, (B) particle size and volume of bacteria liquid, and (C) rotary speed of shaking table and volume of bacteria liquid on biodesulfurization.
Minerals 11 00583 g004
Figure 5. The energy spectrum and backscatter diagram.
Figure 5. The energy spectrum and backscatter diagram.
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Figure 6. Variation trend of oxidation weight gain rate of ore samples.
Figure 6. Variation trend of oxidation weight gain rate of ore samples.
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Table 1. Two levels of each variable.
Table 1. Two levels of each variable.
NumberFactorUnit−1+1
AParticle size of ore sampleMesh40–60100–120
BAmbient temperature3545
CRotary speed of the shaking tablerpm140180
DVolume of bacteria liquidmL60100
EConcentration of leaching aidv/v0.005%0.01%
FpH value of acidizing ore sample--2.54.5
Table 2. Design matrix for desulfurization factors and corresponding responses from the experiment.
Table 2. Design matrix for desulfurization factors and corresponding responses from the experiment.
NumberABCDEFGHJKL5-Day Average Desulfurization Efficiency (R1)
11−1111−1−1−11−1165.23
2111−1−1−11−111−136.28
31−1−1−11−111−11125.33
4−1−1−11−111−111110.62
511−1−1−11−111−1125.06
611−1111−1−1−11−122.88
71−111−1111−1−1−137.64
8−111−1111−1−1−1119.38
9−1−11−111−1111−110.51
10−1111−1−1−11−11138.59
11−1−1−1−1−1−1−1−1−1−1−15.03
12−11−111−1111−1−125.12
Table 3. Model summary statistics for quadratic model of 5-day average desulfurization efficiency (R1).
Table 3. Model summary statistics for quadratic model of 5-day average desulfurization efficiency (R1).
SourceSum of SquareDegrees of FreedomMean SquareF Valuep-Value
Model2566.106427.686.350.0304
A886.881886.8813.170.0151
B13.96113.960.210.6680
C730.001730.0010.840.0217
D513.501513.507.630.0398
E19.35119.350.290.6149
F402.411402.415.980.0583
Residual336.71567.34
Total variation2902.8111
Table 4. The steepest climbing test results.
Table 4. The steepest climbing test results.
GroupACD5-Day Average Desulfurization Efficiency
160–801408030.73
280–1001509043.46
3100–12016010064.75
4120–14017011088.70
5140–16018012086.79
Table 5. Levels of different process variables in coded and uncoded form for biodesulfurization.
Table 5. Levels of different process variables in coded and uncoded form for biodesulfurization.
Factor−10+1
A100–120120–140140–160
C165170175
D105110115
Table 6. Experimental conditions of Box–Behnken design for biodesulfurization.
Table 6. Experimental conditions of Box–Behnken design for biodesulfurization.
NumberACD5-Day Average Desulfurization Efficiency (R1)
110−196.42
210194.76
30−1−197.37
4−1−1077.37
5011112.36
60−1197.91
701−1109.70
8000106.69
9110104.86
10000105.04
111−1093.25
12−10183.23
13−10−179.27
14−11090.79
15000105.35
Table 7. Analysis of variance for response surface quadratic model.
Table 7. Analysis of variance for response surface quadratic model.
SourceSum of SquareDegrees of FreedomMean SquareF Valuep-Value
Model1633.139181.46406.94<0.0001
A429.761429.76963.78<0.0001
C335.601335.60752.63<0.0001
D3.7713.778.460.0335
AC0.8210.821.840.2326
AD7.8817.8817.660.0085
CD1.1211.122.510.1737
A2832.821832.821867.69<0.0001
C22.9512.956.610.0500
D218.73118.7341.990.0013
Residual2.2350.45
Lack of fit0.6930.230.300.8270
Pure error1.5420.77
Cor total1635.3614
Table 8. Five-day average desulfurization efficiency of bacterial desulfurization.
Table 8. Five-day average desulfurization efficiency of bacterial desulfurization.
GroupSample 1Sample 2Sample 3Sample 4Sample 5Mean Value
1113.67114.37114.87114.89113.59114.25
293.9595.1393.8695.2694.2594.49
Table 9. Surface sulfur content of ore samples.
Table 9. Surface sulfur content of ore samples.
Group Mean Value
119.28%20.11%18.12%19.17%
220.13%20.28%20.26%20.22%
322.43%21.09%21.71%21.74%
423.85%21.26%21.57%22.23%
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Tang, J.; Feng, Y.; Wu, Z.; Zhang, S.; Sarkodie, E.K.; Jin, H.; Yuan, R.; Pan, W.; Liu, H. Optimization Studies on Biological Desulfurization of Sulfide Ore Using Response Surface Methodology. Minerals 2021, 11, 583. https://doi.org/10.3390/min11060583

AMA Style

Tang J, Feng Y, Wu Z, Zhang S, Sarkodie EK, Jin H, Yuan R, Pan W, Liu H. Optimization Studies on Biological Desulfurization of Sulfide Ore Using Response Surface Methodology. Minerals. 2021; 11(6):583. https://doi.org/10.3390/min11060583

Chicago/Turabian Style

Tang, Jiahui, Yanxi Feng, Zengling Wu, Siyuan Zhang, Emmanuel Konadu Sarkodie, Huimin Jin, Ruiling Yuan, Wei Pan, and Hongwei Liu. 2021. "Optimization Studies on Biological Desulfurization of Sulfide Ore Using Response Surface Methodology" Minerals 11, no. 6: 583. https://doi.org/10.3390/min11060583

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