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Article

Mechanochemical Treatment of Historical Tungsten Tailings: Leaching While Grinding for Tungsten Extraction Using NaOH

Division of Minerals and Metallurgical Engineering, Luleå University of Technology, SE-971 87 Luleå, Sweden
*
Author to whom correspondence should be addressed.
Sustainability 2021, 13(6), 3258; https://doi.org/10.3390/su13063258
Submission received: 29 January 2021 / Revised: 8 March 2021 / Accepted: 12 March 2021 / Published: 16 March 2021
(This article belongs to the Special Issue Valorization of Secondary Resources)

Abstract

:
Innovative tungsten (W) extraction techniques are continually being sought because of challenges of low leaching efficiencies, despite using advanced processing units such as autoclaves operating high temperatures and pressures. Compared to conventional leaching, mechanochemical treatment improves the efficiency of leaching. Therefore, in this study, an innovative mechanochemical treatment method, referred to as leaching while grinding (LWG), was employed as a reprocessing option to optimize W recovery from historical tungsten tailings. Experiments were run using the regular two-level factorial design to screen through the four factors of stirrer speed, liquid/solid ratio, temperature, and digestion time to assess their criticality and effects in the LWG process. The stirrer speed and the liquid/solid ratio were the most critical factors in the optimization of W recovery. The maximum W recovery (91.2%) was attained at the highest stirrer speed (410 rpm), low liquid/solid ratio (0.8), long digestion time (6 h), and low leaching temperature (60 °C). The attained low leaching temperature (60 °C) was due to the mechanical activation of scheelite resulting from the simultaneous grinding and leaching. For such low- grade W material, liquid/solid ratio optimizing is critical for maintaining the digestion mixture fluidity, and for environmental and economic sustainability regarding the sodium hydroxide (NaOH) consumption, which was low.

1. Introduction

Tungsten (W) is a critical raw material for the European Union [1], with scheelite (CaWO4) and wolframite ((Fe,Mn)WO4) being the most important tungsten ore minerals [2,3]. Over the years, different hydrometallurgical techniques have been used for W extraction from these ores, mostly from high-grade W concentrates, and synthetic concentrates (scraps) [2]. Different leaching reagents, being either alkaline or acidic or a combination of the two, applied at different stages of the leaching process and reactors have been considered to enhance W extraction efficiency [4,5,6].
It was documented that mechanochemical treatment can improve the efficiency of leaching [7,8]. In the leaching while grinding (LWG) process, the reaction ability of the mineral to be leached is increased (mechanical activation) by grinding using high-energy mills, and in the presence of a leaching reagent, a mechanochemical reaction occurs. The solid mineral particles’ increased reactivity is due to increased internal and surface energy, increased surface area, and decreased coherence energy [8]. The mechanical activation in the high-energy mills is achieved by impact (stroke or collision), attrition (shear), and compression. In the LWG process, several factors influence the grinding process and the leaching process; for grinding, the factors include the filling extent of the milling chamber, ball-to-powder ratio (BPR), and grinding speed and time, while for leaching, the factors include temperature, reagent concentration, stirring speed, and leaching time [8,9,10,11,12]. However, the mechanical activation in the extractive metallurgy from primary or secondary resources has not been considered widely, and few applications are reported for the gold extraction [13,14,15]. Gold amalgamation (mill leaching) is an efficient practice in small mines [16]. For reducing the media and liner corrosion, LWG is mostly performed in alkaline conditions.
Zhao et al. [10] showed the advantages of hydroxide leaching of scheelite over carbonate processing usually done in autoclaves to include lower leaching temperature (150 to 170 °C), and that a higher leaching solution concentration is beneficial for the decomposition of W ores, as sodium tungstate (Na2WO4) crystallizes earlier than the sodium hydroxide (NaOH). In more recent studies, the alkaline leachability of scheelite has been enhanced by converting it to MgWO4 through roasting with anhydrous MgCl2 [17]. The large volume of leachant required in alkaline leaching of scheelite has been cited as one of the reasons for exploring acid leaching using hydrochloric acid or a combination of sulphuric acid and phosphoric acid, with mechanical activation in some cases [18,19,20]. In this study, however, instead of using complex leaching reagents to deal with surface layers on scheelite particles and increase the leaching efficiency, LWG was used. In this method, scheelite was mechanically activated and leached simultaneously in one reactor instead of conducting these steps sequentially in different reactors at varying operating conditions of temperature and pressure [7,8]. The mechanical activation of scheelite improves the leaching kinetics as its decomposition temperature is reduced, and the surface area is increased with reducing particle size resulting from grinding [7,8].
Therefore, in the current study, a concentrated NaOH solution was used to digest scheelite (Equation (1)) in historical tungsten tailings, which is a low-grade W mining waste material, unlike the W ores or scheelite concentrates used in other studies [4,5,10,21,22].
CaWO4(s) + 2NaOH(aq) ↔ Ca(OH)2(s) +Na2WO4(aq)
The tailings used in this study were also much coarser (>75 µm) than the scheelite concentrates used in other scheelite leaching studies; hence, when selecting factors to optimize the LWG process, factors that improve both scheelite leaching kinetics and grinding in a stirred media mill were considered [12,23]. The effects of leaching temperature, NaOH solution concentration, mineral particle size, liquid/solid ratio, and stirring speed are significant to both the digestion of scheelite by NaOH and the leaching rate [5,10,24]. These effects have been investigated in various studies using different statistical and graphical techniques [23,25], and in this study, this approach was also taken.
Indicative tests to compare conventional leaching to LWG at different temperatures were conducted on scheelite concentrate before the LWG test in this study. W recovery was 4.8 times higher at 38 °C, 1.8 times higher at 60 °C, and 0.5 times lower at 80 °C after 6 h of leaching, meaning that the grinding improved the leaching kinetics for the lower temperatures, but it had an adverse effect at a higher leaching temperature. However, despite having more improved leaching kinetics at 38 °C, W recovery after 6 h of leaching was too low (<20%); thus, the higher temperatures needed to be considered for further tests in this study. This means that grinding had a higher influence on scheelite leaching than temperature. When scheelite is mechanically activated by grinding, its reactivity increases, causing it to be leached faster, thus forming soluble Na2WO4 rapidly, and in a short time, the solution becomes saturated leading to the precipitation of Na2WO4 until all the scheelite has reacted [26].
Therefore, having characterized the historical tungsten tailings from the Smaltjärnen tailings storage facility (TSF) in Yxsjöberg, Sweden, and considering the reprocessing options including magnetic separation, gravity separation, and froth flotation [27,28], the LWG process employed in this current study was a more innovative method of reprocessing these historical tailings. Ideally, with the simultaneous grinding of the tailings and leaching of scheelite, the comminution of the tailings particles would be further improved, scheelite mineral grains would be more liberated with increased surface area, and with the refreshing of surfaces, scheelite leaching would be enhanced.
The regular two-level factorial design for running experiments was picked to screen through the four factors of stirrer speed, liquid/solid ratio, temperature, and digestion time to assess their criticality and effects in the LWG process. The aim was to optimize the LWG process for W recovery from historical tungsten tailings.

2. Materials and Methods

2.1. Feed Properties

The feed material used was historical tungsten tailings samples collected from the Smaltjärnen TSF in Yxsjöberg, Sweden, estimated to have about 2.2 million tons of tailings, and covering an area of 26 hectares [27]. In this study, 26 g of the tailings sample was used for each experimental run based on the ball-to-powder ratio (BPR) of 50 [12], with the particle size distribution of −600 to +75 μm (Figure 1), and an average density of 3.35 g/cm3 determined using a He pycnometer. Particle size distribution was conducted on three different tailings samples using dry sieving in five size fractions (>600 μm, −600 to +300 μm, −300 to +150 μm, −150 to +75 μm, and <75 μm). Chemical analysis was conducted using the inductively coupled plasma–sector field mass spectrometry (ICP–SFMS) method, while the bulk mineralogical phases in which the high concentration elements were hosted were determined using X-ray diffraction (XRD) (Figure 2). In order to find the mineral phases of interest in the tailings using XRD, prior knowledge of the mineral composition of the primary ore from which these tailings were generated was essential [29]. This is because, for minerals like scheelite with very low concentration in the tailings, finding them in the XRD candidate list was only possible by using restrictions when executing the “search and match” function in the HighScore Plus software. The element of interest in this study, W, was among the minor elements (Table 1), while the feed material’s major elemental composition was CaO, Fe2O3, and SiO2 (Table 2).

2.2. Leaching Procedure

Leaching experiments were conducted in an insulated water-heated attritor mill with different parameters (Figure 3 and Table 3). Sodium hydroxide (NaOH) at 10 M, with an average pH of 13.56, was used to digest the tailings samples [24]. The liquid/solid ratio factor, temperature, digestion time, and stirrer speed were other factors investigated in this study to assess their effect on the W recovery from historical tailings in the LWG process. For the leaching procedure, experiments were designed using the Design-Expert® software (12.0.12.0, Stat-Ease, Minneapolis, United States, 2020). The regular two-level factorial design was picked because of its effectiveness in “screening through many factors to find the critical few”, and the two-level full factorial was employed as it “permits estimation of all main effects and all interaction effects” [30].
For the factor level type, the stirrer speed was defined as “categoric” because the attritor mill could only be run at two set speeds; hence, a range between the low and high levels would not be available, as was the case for the other three factors defined as “numeric” (Table 4). The digested tailings sample from each experimental run was then washed for 10 min in 300 mL of NaOH leaching solution at 1 M concentration, which gives a higher Na2WO4 solubility [22]. The leachate was analyzed for W, including other metals and elements, using the ICP–SFMS method, and the W recovery was calculated.
The experimental design involved 16 completely randomized runs (Table 5), with W recovery as the response. The real values for temperature, digestion time, and liquid/solid ratio coded low (−1) were 60 °C, 4 h, and 0.8, while coded high (+1) they were 98 °C, 6 h, and 1.0, respectively. For the design post-analysis, the best numerical optimization solution was picked to run two replicate verification tests; two tests were conducted using the tailings material. For the other two tests, scheelite concentrate with 66.2% WO3 grade was used so that a comparison could be made to the indicative LWG tests that were conducted before the LWG tests in this study. The notable differences between the indicative LWG tests and the LWG tests in this study were in the amount of concentrated NaOH solution used and the two leaching stages; digestion with the concentrated (10 M) NaOH solution, washing with the diluted (1 M) NaOH solution, and sampling of the leachate could not be done during the leaching process [24]. An additional replicate test using the tailings material, but leaching without grinding (LWTG), was conducted as a control experiment so that the effect of mechanical activation on W recovery could be compared.

3. Results and Discussion

3.1. Factorial Design Analysis

3.1.1. Significant and Insignificant Factor Effects

The concentration of W in the leachate was used to calculate the W recovery (main design response) from the tungsten tailings (Figure 4). The experiment design was evaluated on the reduced two-factor interactions (2FI); the four main factors (A, B, C, and D) and three 2FI (AB, AD, and CD) terms were identified as significant factors, which were separated from the insignificant effects using the half-normal plot method (Figure 5). It was observed that the stirrer speed (D), temperature (A), and digestion time (B) had positive effects, meaning an increase in these main factors would increase the W recovery. The stirrer speed had the largest contribution of 58.5% because it relates to the particle size reduction, increases the surface area, and enhances the reactivity of scheelite [10,23]. It also enhances mass transfer in the highly viscous NaOH digestion solution and continuously removes the Ca(OH)2 solid product layers that form on scheelite mineral particles as the accelerated rate-determining chemical reaction (Equation (1)) proceeds [5,13,21,22].
Despite temperature and digestion time individually having a positive effect on W recovery, their interactions (AB) showed a negative effect, and this contribution was larger than that of the individual factors. Similarly, the AD factor interaction had a negative effect with an even larger contribution (13.1%) than the AB factor interaction; hence, it was important to observe these factor interactions for the optimizing model. With the mechanical activation of scheelite brought about by the grinding occurring simultaneously with the leaching in the LWG process in this study, one expected and desired advantage was reduced leaching temperature, which would then make the factor interactions AB and AD have a positive effect on W recovery. Another advantage of the mechanical activation of scheelite is the shorter reaction time due to the increased rate of the forward reaction; however, if the digestion time goes beyond this reaction time, Na2WO4 saturation may occur, and since its solubility is low in the 10 M NaOH digestion solution, crystallization would also occur [5,7,22]. Therefore, having a high temperature, which also increases the leaching rate, and high digestion time results in the negative effect of the AB factor interaction on W recovery to the leachate. The recovery of W would be low because W would remain in the solute as solid Na2WO4, especially if the NaOH dilution in the subsequent washing stage was insufficient for complete dissolution [2,24,26]. The digestion time encompassed time for both grinding the tailings particles and the NaOH digestion of scheelite; hence, a key factor in the mechanical activation of scheelite mineral grains similar to the stirrer speed, but with a very minimal effect and contribution to W recovery. Since the feed material used in this study was coarse with a very low-grade W material, the grinding also enhanced the liberation of scheelite mineral grains in the tailings particles.
The liquid/solid ratio (C) factor had the second highest effect and contribution to the W recovery, but unlike the other three main factors, this factor had a negative effect on W recovery. This factor is especially critical for leaching scheelite from very low-grade material such as tailings, because sufficient fluidity of the digestion mixture should be attained such that, even after digesting for a while at a given temperature, the mixture does not solidify. For such low-grade W material, sufficient fluidity is not attainable using the NaOH stoichiometric ratio; hence, the NaOH is in excess, and the Na2WO4 crystallizes because of its limited solubility in such a highly concentrated NaOH solution [5]. Therefore, the CD factor interaction has an equally negative effect unless an optimal liquid/solid ratio is employed.

3.1.2. Analysis of Variance (ANOVA)

Based on the above understanding of the selected effects, the model tested significant for the selected seven model terms using ANOVA, and the predictive model in coded terms was as follows:
W recovery = 56.5595 + 2.78406 × A + 1.68636 × B + −7.56628 × C + 14.5958 × D + −3.81586 × AB + −6.91214 × AD +
−2.81509 × CD.
The factor coefficients revealed the relative significance of the factors, with the stirrer speed (D) showing the highest impact on W recovery followed by the liquid/solid ratio (C), as was also observed in the analysis of the effects. The model showed a good fit, as the R2 adjusted and predicted values were in good agreement, with the difference less than 0.2 as recommended, and the model R2 value being 0.964; hence, the model was expected to provide good predictions for W recovery from historical tungsten tailings using the LWG process [31].

3.1.3. Optimization

An optimization criterion was determined for each factor and response, with the most important goal being that of maximizing the response W recovery (Table 6).
Solutions were given for the two combinations of categoric factor levels (205 and 410 rpm) of the stirrer speed, and the best solutions for each categoric factor level were considered by assessing the 3D response surfaces (Figure 6). It was observed that maximum W recovery at 91.2% was best achieved at the highest stirrer speed (410 rpm), a low liquid/solid ratio (0.8), long digestion time (6 h), and a low leaching temperature at 60 °C (Figure 6a). This desired outcome confirmed the earlier analysis of the effect of the factors on W recovery, which found that the mechanical activation of scheelite in the LWG process led to having a lower leaching temperature, with the leaching process conducted in a simpler and less expensive reactor compared to using pressurized reactors such as autoclaves and higher leaching temperatures above 100 °C [4,5,7,21,22,24]. With the low leaching temperature, the AB and AD factor interactions did not negatively affect the response (low W recovery), as the positive effects of the main factors B and D dominated. Concerning the leaching process selectivity, other elements of high concentration in the leachate other than W included Si, S, Pb, Na, K, Fe, Ca, and Al, which would need to be removed in several purification steps before the solvent extraction and the conversion of the purified Na2WO4 solution to ammonium paratungstate (APT) crystals [2].
The negative effects of the AB and AD factor interactions were evident in the solution (Figure 6b) that had the lowest stirrer speed (205 rpm), a low liquid/solid ratio (0.8), shorter digestion time (4 h), and a high leaching temperature (98 °C). Reducing both the stirrer speed and the digestion time to have a high leaching temperature had a more negative effect on W recovery because the mechanical activation of scheelite was reduced. With the coarser tailings used in this study, particle size reduction, which is essential for increased scheelite reactivity [10,23], is less enhanced.
If the energy conservation factor was to be considered, other solutions on the 3D response surface in Figure 6a with a digestion time of less than 6 h may be compared, though the W recovery would be lower than 91.2%. Other factors that could also be considered for maximizing W recovery in this LWG process are the dilution of NaOH solution in the washing stage, as too much dilution favors the reverse reaction and the duration of washing [24]. Therefore, the solute characterization using XRD to determine in which phases the unleached W is found would be essential. If W is found in the Na2WO4 phase, then the dissolution issue has to be investigated. If W is found in the CaWO4 phase, then either the scheelite digestion did not occur because of unliberated scheelite grains in the coarse tailings particles, or the reverse reaction could have occurred during the washing stage because of the over-dilution of NaOH.

3.2. Design Post-Analysis

The best numerical optimization recommended solution (highest stirrer speed (410 rpm), low liquid/solid ratio (0.8), long digestion time (6 h), and low leaching temperature at 60 °C) was used to conduct verification tests. The obtained mean W recovery for LWG using tailings was within the 95% prediction interval of the model (79.4% to 102.9%) taking into consideration the 20% error in the W concentration in the leachate (Figure 7); hence, the model was confirmed. For LWG using the scheelite concentrate, the NaOH was not in excess as the 0.8 liquid/solid ratio was equivalent to the 1:2 CaWO4/NaOH stoichiometric ratio; hence, there was much lower W recovery. Therefore, for such high-grade W material, optimizing the NaOH/WO3 ratio would be more beneficial for improving W recovery [4,5,10,22,24]. The control experiment in which LWTG was employed proved that LWG was a better leaching process for the historical tungsten tailings under study, as W recovery was very low (5.5%).

3.3. Effect of LWG on Particle Size and Mineralogical Composition of Residue

In order to assess the effect of grinding on particle size, the residue (solute) from the optimized LWG of the tailings was analyzed using laser diffraction for particle size distribution. Since the feed material particle size distribution was –600 to +75 μm, it was important to assess the amount of material that ended up in the fine (<75 µm) fraction after grinding. From mass balancing, 55.4 wt.% of the ground tailings material was <75 µm, and this fraction was analyzed using laser diffraction. Based on the three solute samples analyzed, it was observed that the average particle diameter at 80% was 5.85 µm (Figure 8), meaning a substantial reduction in particle size had resulted from the grinding.
For the bulk mineralogical characterization of the solute, XRD was used to determine in which phases the unleached W occurred. It was observed that W was present in both the Na2WO4 and CaWO4 phases (Figure 9), meaning further dissolution, achieved by increasing the duration of washing, was required to solubilize the Na2WO4 for W to be totally recovered from this phase. For the W in the CaWO4 phase, further analysis using scanning electron microscopy (SEM) would be required to determine if the CaWO4 remained unliberated in the coarse (>75 µm) fraction, or if it resulted from the reverse reaction occurring because of the over-dilution of NaOH in the washing stage.

4. Conclusions

This study aimed to analyze and optimize the LWG process for W recovery from historical tungsten tailings. Leaching tests were done with a stirred media mill at different conditions. Using the regular two-level factorial design, the four factors of stirrer speed, liquid/solid ratio, temperature, and digestion time were assessed for their criticality and effects in the LWG process. The following were the findings and conclusions:
  • Compared to conventional leaching, the LWG in this study was more efficient and more sustainable, especially considering that the amount of NaOH used was much lower, and W recovery was much higher at a lower leaching temperature;
  • The stirrer speed and the liquid/solid ratio were the most critical factors in the maximization of W recovery, with an increase in the stirrer speed having a positive effect, while the liquid/solid ratio had a negative effect;
  • The maximum W recovery (91.2%) was attained at the highest stirrer speed (410 rpm), a low liquid/solid ratio (0.8), long digestion time (6 h), and a low leaching temperature (60 °C);
  • With the mechanical activation of scheelite resulting from the simultaneous grinding and leaching, a low leaching temperature (60 °C) was attainable;
  • The grinding had a substantial effect on the particle size, with 55.4 wt.% of the tailings feed material being ground to <75 µm from the initial particle size range –600 to +75 μm, and 80% of the <75 µm size fraction having an average diameter of 5.85 µm;
  • For low-grade W material, such as the historical tailings used in this study, optimizing the liquid/solid ratio is critical for maintaining substantial fluidity in the digestion mixture;
  • For subsequent W recovery optimization, the dilution of the NaOH solution in the washing stage and the duration of washing would be other factors to optimize, as the Na2WO4 phase was observed in the solute;
  • The energy conservation factor could be optimized by considering a slight reduction in the digestion time factor.

Author Contributions

Conceptualization, J.R. and J.M.; methodology, J.M.; validation, J.M.; formal analysis, J.M.; investigation, J.M.; resources, S.C.C. and J.M.; data curation, J.M.; writing—original draft preparation, J.M.; writing—review and editing, S.C.C. and J.M.; visualization, J.M.; supervision, S.C.C. and J.R. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by Centre of Advanced Mining and Metallurgy (CAMM) at Luleå University of Technology, and The APC was funded by CAMM.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Acknowledgments

The financial contribution from the Centre of Advanced Mining and Metallurgy (CAMM) at Luleå University of Technology is gratefully acknowledged.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

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  31. Stat-Ease Interpretation of R-Squared. Available online: https://www.statease.com/docs/v12/contents/analysis/anova-output/ (accessed on 31 December 2020).
Figure 1. Feed material (historical tungsten tailings) particle size distribution in three samples, showing similar distributions.
Figure 1. Feed material (historical tungsten tailings) particle size distribution in three samples, showing similar distributions.
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Figure 2. X-ray diffraction (XRD) pattern view of selected mineral phase patterns in the feed material.
Figure 2. X-ray diffraction (XRD) pattern view of selected mineral phase patterns in the feed material.
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Figure 3. Leaching while grinding experimental setup.
Figure 3. Leaching while grinding experimental setup.
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Figure 4. Design responses from the 16 different experimental runs: (a) tungsten (W) concentration in leachate and (b) W recovery from historical tungsten tailings.
Figure 4. Design responses from the 16 different experimental runs: (a) tungsten (W) concentration in leachate and (b) W recovery from historical tungsten tailings.
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Figure 5. The half-normal plot showing the selected significant factor effects.
Figure 5. The half-normal plot showing the selected significant factor effects.
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Figure 6. The 3D response surfaces for the best optimization solution to maximize W recovery from historical tungsten tailings using the leaching while grinding (LWG) process: (a) liquid/solid ratio (C) = −1, stirrer speed (D) = 410 rpm, and (b) C = −1, D = 205 rpm.
Figure 6. The 3D response surfaces for the best optimization solution to maximize W recovery from historical tungsten tailings using the leaching while grinding (LWG) process: (a) liquid/solid ratio (C) = −1, stirrer speed (D) = 410 rpm, and (b) C = −1, D = 205 rpm.
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Figure 7. Mean verification results using factor settings of the best numerical optimization recommended solution.
Figure 7. Mean verification results using factor settings of the best numerical optimization recommended solution.
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Figure 8. Particle size distribution for three LWG solute samples in the <75 µm size fraction.
Figure 8. Particle size distribution for three LWG solute samples in the <75 µm size fraction.
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Figure 9. XRD pattern view of selected mineral phase patterns in the LWG solute.
Figure 9. XRD pattern view of selected mineral phase patterns in the LWG solute.
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Table 1. Feed material minor elements of interest and their main host minerals.
Table 1. Feed material minor elements of interest and their main host minerals.
Element Average Concentration (mg/kg)Main Mineral
Be271Danalite
Bi363Bismuthinite
Cu988Chalcopyrite
S14,475Pyrite, Pyrrhotite
Sn564Cassiterite
W1125Scheelite
Zn263Sphalerite
Table 2. Feed material major elements and loss on ignition (LOI) content.
Table 2. Feed material major elements and loss on ignition (LOI) content.
Element Average Concentration (%)
SiO241.7
Al2O35.5
CaO16.7
Fe2O321.6
MgO1.2
MnO1.4
Na2O1.2
LOI1.6
Table 3. Attritor mill and media parameters.
Table 3. Attritor mill and media parameters.
MillMedia
Volume (mL)500Density (g/cm3)5.63
Stirrer speed (rpm)205Mass (g)1285
410
Ball filling volume (mL)350Volume (cm3)228
Ball size (mm)−2.38 to +1.68
BPR50
Table 4. Experiment design factors and settings.
Table 4. Experiment design factors and settings.
FactorNameUnitsTypeMinimumMaximumCoded LowCoded HighMeanStd. Dev.
ATemperature°CNumeric−1.00001.0000−1 ↔ −1.00+1 ↔ 1.000.00001.03
BDigestion timehoursNumeric−1.00001.0000−1 ↔ −1.00+1 ↔ 1.000.00001.03
CLiquid/solidratioNumeric−1.00001.0000−1 ↔ −1.00+1 ↔ 1.000.00001.03
DStirrer speedrpmCategoric205410 Levels:2.00
Table 5. Experiment design layout.
Table 5. Experiment design layout.
Factor 1Factor 2Factor 3Factor 4
StdRunA: TemperatureB: Digestion TimeC: Liquid/SolidD: Stirrer Speed
°CHoursRatiorpm
161111410
72−111205
13−1−1−1205
84111205
1451−11410
96−1−1−1410
271−1−1205
118−11−1410
691−11205
1510−111410
41111−1205
10121−1−1410
513−1−11205
121411−1410
1315−1−11410
316−11−1205
Table 6. Numerical goal optimization criteria.
Table 6. Numerical goal optimization criteria.
NameGoalLower LimitUpper LimitLower WeightUpper WeightImportance
A: Temperatureis in range−11113
B: Digestion timeis in range−11113
C: Liquid/solidis in range−11113
D: Stirrer speedis in range205410113
W recoverymaximize26.61191.1821015
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Mulenshi, J.; Chelgani, S.C.; Rosenkranz, J. Mechanochemical Treatment of Historical Tungsten Tailings: Leaching While Grinding for Tungsten Extraction Using NaOH. Sustainability 2021, 13, 3258. https://doi.org/10.3390/su13063258

AMA Style

Mulenshi J, Chelgani SC, Rosenkranz J. Mechanochemical Treatment of Historical Tungsten Tailings: Leaching While Grinding for Tungsten Extraction Using NaOH. Sustainability. 2021; 13(6):3258. https://doi.org/10.3390/su13063258

Chicago/Turabian Style

Mulenshi, Jane, Saeed Chehreh Chelgani, and Jan Rosenkranz. 2021. "Mechanochemical Treatment of Historical Tungsten Tailings: Leaching While Grinding for Tungsten Extraction Using NaOH" Sustainability 13, no. 6: 3258. https://doi.org/10.3390/su13063258

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