Determination of the work index of Gyel-Buruku columbite ore sample in Plateau state, Nigeria, was investigated. The sample of the columbite ore was sourced from Gyel village in Jos East Local Government Area of Plateau state, Nigeria. The “reference ores (granites)” samples were sourced from Jiche and Gurum villages of Plateau state respectively. The reference ores and columbite ore of known weights were ground and pulverized. 80% passing size for the columbite ore, Jiche and Gurum granites samples was obtained at 100 μm sieve size for the feeds and products respectively. The work indexes of reference ores i.e. Jiche and Gurum granites were used to calculate the work index of the Gyel columbite ore sample. The values of 3.42 kWh/ton and 2.72 kWh/ton were obtained respectively for the two different reference granites ores samples used and 3.07 kWh/ton was calculated as their average and determined as the value of the work index of the Gyel-Bukuru columbite ore sample. This work index value obtained for the Gyel-Buruku columbite ore sample lies favourably within the work indexes of 3.94 - 10.81 kWh/ton for columbite minerals sighted in the literatures.
Nigeria is one of the countries in the world blessed with abundant solid mineral deposits; some of these have been fully explored and their quantum is ascertained while further investigation is required to determine the quantum of the occurrence of others not yet listed. Those known to exist in commercial quantities include iron ore, cassiterite, columbite, tantalite, titanite, rutile, feldspar, limestone, lead, zinc, uranium, quartz and mineral fuel like coal etc. These industrial minerals cut across the entire states of the country [
The mineralization of the above-mentioned chemical compounds originated partly from the rocks of the basement complex which bear evidence of an exceedingly long history; they suffered greater or lesser degrees of alteration by heat and stress in the crust of the earth; they have been folded and crumpled, raised into mountain ranges and worn down by the agents of denudation to a gentle relief. As they are seen now, they cover four large areas in Nigeria, and extend far into the neighbouring territories. The most extensive expanse lies north of the rivers Niger and Benue and includes most of Sokoto, Kaduna, Kano, Bauchi, Plateau, and Niger states. Two groups of the granites are distinguished from this basement complex in Nigeria: the older and the younger granites. The older granites are widespread, and being resistant rocks, they give rise to the picturesque groups of smoothly domed hills that diversify the landscape. With the granites there are associated pegmatites, which in places contain small but occasionally workable amounts of tinstone and columbite-tantalite. The younger granites containing tinstone and columbite are found chiefly in Plateau, Kano, Kaduna, Bauchi and Benue states, where they form rugged hills, such as those seen near Jos. The valuable deposits of these minerals have been formed from the disintegration by weathering of the granites, and the concentration of the ore minerals in stream beds, either of the present day or of earlier geological periods. Small quantities of wolfram also occur in certain younger granites, and some contain the potentially valuable radio-active and pyrochlore minerals [
The mineral columbite and others alike are strategic to some extend in the development of iron and steel, and other metallurgical industrial subsector of the economy for their usefulness as alloying elements in strengthening the physical and chemical properties of the metallurgical materials. Hence, on the basis of this, the Federal Government of Nigeria in its 1971 national planning to industrialize the nation, established the Aladja and Ajaokuta steel plants with the hope that non-ferrous metals like tin, tantalum, titanium, niobium, manganese, lead, zinc, copper, chromium, vanadium, etc. which are rare and expensive to import can be sourced locally, mined and extracted their utilization in the nation iron and steel plants and others metallurgical allied companies [
Hence, the rare and expensive nature of the above-mentioned alloying elements prompts this research work on “Determination of Work Index of Gyel-Bukuru Columbite Ore in Plateau State, Nigeria” as panacea for the development of a process route for the beneficiation of the ore deposit to metallurgical grade that can be used as alloying elements for local iron and steel plans.
Theoretical Consideration for Comminution Process (Work Index)There are many theories of comminution, but paramount importance to this work is the modified Bond’s equation called Berry and Bruce comparative Bond’s equation that was used to determine the work index of the ore. Work index is the comminution parameter which expresses the resistance of material to crushing and grinding; it is the kilowatt hour per short-ton required to reduce the material from theoretically infinite feed size to 80% passing 100 μm [
Material | Work index | Material | Work index |
---|---|---|---|
Barite | 4.28 - 6.24 | Fluorspar | 2.98 - 9.76 |
Bauxite | 2.38 - 9.45 | Granite | 2.68 - 15.13 |
Coal | 1.63 - 11.37 | Graphite | 1.75 - 45.03 |
Dolomite | 2.82 - 11.27 | Limestone | 2.69 - 11.61 |
Emery | 3.48 - 58.18 | Quartzite | 2.71 - 12.18 |
Columbite | 3.94 - 10.81 | Titanium ore | 4.23 - 11.88 |
Tantalite | 3.6 - 11.90 | Silica sand | 2.65 - 16.46 |
Soba-Wanka Pyrochlore Coltan | 4.79 on the average |
Source: [
From Berry and Bruce (1966) using Bond’s law in Yaro and Thomas (2009), the work index of an ore can be determined by comparing its grindability:
Hence, the needs to determine the energy required in grinding an ore from the run-off mines to its liberation size prior to process to prevent over grinding or under grinding and to enhance the selection of appropriate grinding equipment cannot be overemphasized. In short, the textural relationship between minerals within the matrix of an ore and their relation to process selection requires the determination of their liberation sizes. This is the size to which an ore must be crushed or ground in order to produce separate particles of either valuable or gangue mineral that can be removed from the ore (as concentrate or tailings) with an acceptable efficiency by a commercial unit process [
The most widely used parameter to measure ore grindability is the Bond work index, Wi [
200 kg sample of columbite ore of which 50 kg of the sample used in this research work was obtained from Gyel columbite mineral ore deposit site at various spots 7 meters apart and about seven (7) kilometer off Bukuru-Jos express road. The granites samples used as reference ores respectively were sourced from Jiche-Hill station, Government house, Jos and Gurum in Mile seven (7) hill, behind NEPA exchange station Jos, Plateau state using cone and quartering sampling method.
The sample of the reference ore was broken manually with a sledge hammer to provide required size acceptable as feed to the Denver laboratory jaw crusher. The sample was crushed and pulverized, part of the pulverized samples were weighed for sieve analysis. The modified Bond’s method of determining the network index of ore involves use of reference ore of which grindability is known. The procedure is as follows.
1) 100 g each of samples of the ore under test and the reference ore were crushed and pulverized in the laboratory mill machine for an hour,
2) The samples of test and reference ores were taken and sized by sieving into a number of size fractions using the automatic sieve shaker for 15 minutes.
3) Each size fractions of the test and the reference ores were weighed and the value noted as “feed”.
4) The “feed” test and reference ores were each gathered together and introduced into the Laboratory ball milling machine and ground for 1 hour.
5) The test and the reference ores from the laboratory ball mill machine were sized and each sieve fraction was weighed and the value noted as the product or discharge [
6) Sieve analysis.
The ground samples were sieved into the following sieve size fractions; +1400 µm, −1400 + 1000 µm, −1000 + 710 µm, −710 + 500 µm, −500 + 355 µm, −355 + 250 µm, −250 + 180 µm, −180 + 125 µm, −125 + 90 µm, −90 + 63 µm, −63 µm using Denver automatic sieve shaker for 15 minutes.
(A) Test Ore (Gyel Columbite)/References (Granites) as Feeds to the Ball Mill
Calculation using the values in
If 500 µm = 83.719
Then X = 80%
Using Gaudin Schumann Expression
Sieve sizes (µm) | Weight retained (g) | % Weight retained | Cumulative % weight retained | Cumulative % weight passing |
---|---|---|---|---|
+1400 | 1.31 | 1.312 | 1.312 | 98.688 |
−1400 + 1000 | 1.62 | 1.622 | 2.934 | 97.066 |
−1000 + 710 | 4.20 | 4.205 | 7.139 | 92.861 |
−710 + 500 | 9.13 | 9.142 | 16.281 | 83.719 |
−500 + 355 | 16.20 | 16.221 | 32.502 | 67.498 |
−355 + 250 | 19.81 | 19.836 | 52.338 | 47.662 |
− 250 + 180 | 19.60 | 19.626 | 71.964 | 28.036 |
−180 + 125 | 14.31 | 14.329 | 86.293 | 13.707 |
−125 + 90 | 8.01 | 8.020 | 94.313 | 5.687 |
−90 + 63 | 3.86 | 3.865 | 98.178 | 1.822 |
−63 | 1.82 | 1.822 | 100.00 | 0.00 |
99.87 |
Permutation using data from
If 1000 µm = 75.520
The X µm = 80%
Sieve Size (µm) | Weight retained (g) | % Weight retained | % Cumulative retained | % Cumulative passing |
---|---|---|---|---|
+1400 | 11.41 | 11.424 | 11.424 | 88.576 |
−1400 + 1000 | 13.04 | 13.056 | 24.480 | 75.520 |
−1000 + 710 | 13.43 | 13.446 | 37.926 | 62.074 |
−710 + 500 | 13.64 | 13.656 | 51.582 | 48.418 |
−500 + 355 | 11.33 | 11.344 | 62.926 | 37.074 |
−355 + 250 | 9.95 | 9.962 | 72.888 | 27.112 |
−250 + 180 | 9.21 | 9.221 | 82.109 | 17.891 |
−180 + 125 | 6.13 | 6.137 | 88.246 | 11.754 |
−125 + 90 | 4.73 | 4.736 | 92.982 | 7.018 |
−90 + 63 | 3.61 | 3.614 | 96.596 | 3.404 |
−63 | 3.40 | 3.404 | 100.0 | 0.00 |
99.88 |
Sieve size (µm) | Weight retained (g) | Weight (%) | Cumulative % retained | Cumulative % passing |
---|---|---|---|---|
+1400 | 20.20 | 20.261 | 20.261 | 79.739 |
−1400 + 1000 | 13.50 | 13.541 | 33.803 | 66.197 |
−1000 + 710 | 12.70 | 12.738 | 46.534 | 53.466 |
−710 + 500 | 10.90 | 10.932 | 57.466 | 42.534 |
−500 + 355 | 8.80 | 8.826 | 66.292 | 33.708 |
−355 + 250 | 10.10 | 10.130 | 76.422 | 23.578 |
−250 + 180 | 9.00 | 9.027 | 85.449 | 14.551 |
−180 + 125 | 6.80 | 6.820 | 92.269 | 7.731 |
−125 + 90 | 4.00 | 4.012 | 96.281 | 3.719 |
−90 + 63 | 2.10 | 2.106 | 98.387 | 1.605 |
−63 | 1.60 | 1.605 | 100.00 | 0.00 |
99.7 |
Calculations using data from
If 1400 µm = 79.739
Then
(B) Test Ore (Gyel Columbite)/References (Granites) Products as Discharge from the Ball Mill
Calculations using data from
If 250 µm = 98.096
Then X µm = 80%
Calculation using data from
If 710 µm = 75.193
Then X µm = 80%
Sieve size (µm) | Weight retained (g) | % Weight retained | Cumulative % wt retained | Cumulative % wt passing |
---|---|---|---|---|
+1400 | - | - | - | - |
−1400 + 1000 | 0.12 | 0.120 | 0.120 | 99.880 |
−1000 + 7100 | 0.50 | 0.501 | 0.621 | 99.379 |
−710 + 500 | 0.41 | 0.411 | 1.032 | 98.968 |
−500 + 355 | 0.27 | 0.271 | 1.303 | 98.697 |
−355 + 250 | 0.60 | 0.601 | 1.904 | 98.096 |
−250 + 180 | 39.90 | 39.980 | 41.884 | 58.116 |
−180 + 125 | 31.40 | 31.463 | 73.347 | 26.653 |
−125 + 90 | 16.40 | 16.433 | 89.780 | 10.220 |
−90 + 63 | 6.30 | 6.313 | 96.093 | 3.908 |
−63 | 3.90 | 3.908 | 100.0 | 0.00 |
99.80 |
Sieve size (µm) | Weight retained (g) | % Weight retained | % Cumulative retained | % Cumulative wt passing. |
---|---|---|---|---|
+1400 | 0.20 | 0.200 | 0.200 | 99.800 |
−1400 + 1000 | 14.09 | 14.117 | 14.317 | 85.683 |
−1000 + 710 | 10.47 | 10.490 | 24.807 | 75.193 |
−710 + 500 | 11.93 | 11.953 | 36.760 | 63.240 |
−500 + 355 | 2.32 | 2.324 | 39.084 | 60.916 |
−355 + 250 | 22.81 | 22.853 | 61.937 | 38.063 |
−250 + 180 | 27.32 | 27.372 | 82.309 | 10.691 |
−180 + 125 | 2.76 | 2.765 | 92.074 | 7.920 |
−125 + 90 | 5.80 | 5.811 | 97.885 | 2.115 |
−90 + 63 | 1.31 | 1.312 | 99.197 | 0.803 |
−63 | 0.80 | 0.803 | 100.0 | 0 |
99.81 |
Calculations using data from
If 710 µm = 76.49
Then X µm = 80%
Using Bond’s Equation (3.3)
where, Wir = work index of the reference ore;
Wit = work index of test ore;
Pr = the diameter of the reference ore product, 80% of which passes through 100 μm aperture;
Pt = the diameter of the test ore product, 80% of which passes through 100 μm aperture;
Sieve size (µm) | Weight retained (g) | % Weight retained | % Cumulative wt retained | % Cumulative wt passing |
---|---|---|---|---|
+1400 | - | - | - | - |
−1400 + 1000 | 4.50 | 4.51 | 4.51 | 95.49 |
−1000 + 710 | 19.00 | 19.04 | 23.55 | 76.45 |
−710 + 500 | 12.90 | 12.93 | 36.48 | 63.52 |
−500 + 355 | 18.30 | 18.34 | 54.82 | 45.18 |
−355 + 250 | 26.20 | 26.25 | 81.07 | 18.93 |
−250 + 180 | 9.30 | 9.32 | 90.39 | 9.61 |
−180 + 125 | 5.90 | 5.91 | 96.30 | 3.70 |
−125 + 90 | 2.30 | 2.30 | 98.60 | 1.40 |
−90 + 63 | 0.80 | 0.80 | 99.40 | 0.60 |
−63 | 0.60 | 0.60 | 100.0 | 0.00 |
99.80 |
Fr = the diameter of the reference ore feed, 80% of which passes through 100 μm aperture;
Ft = the diameter of the test ore feed, 80% of which passes through 100 μm aperture;
Wr = work input in kilowatt hour/short ton for reference ore and;
Wt = work input in kilowatt hour/short ton for test ore.
Using Jiche granite as a reference ore and Gyel columbite ore as the test ore
Wir = 15.13 (granite work index value [
Therefore:
While using Gurum granite as a reference ore and Gyelcolumbite ore as the test ore
Wir = 13.57 (minimum value of the granite work index [
Therefore:
Tables 2-7 give the results and Figures 1-6 show the plots of the particle size analysis of the reference and test ores 80% passing for both the feeds and products sieves size fractions for the references and the Gyel columbite ores samples. The 80% passing particle size fraction for both feed and the product of the as-received Gyel columbite ore sample was found to be 456.56 μm and 203.87 μm respectively while the work index of the as received Gyel columbite ore sample was computed to be 3.42 kWh/ton on the average which when compared to the work index of other columbite ores, the result obtained lies favourably within the work indexes of 3.94 - 10.81 kWh/ton for columbite and pyrochlore-coltan mineral ores sighted in the literatures [
In conclusion the work index of Gyel columbite ore sample from Jos, South Local Government Area of Plateau state, Nigeria has been determined and found to be 3.07 kWh/ton on average. This parameter is significant in the design of a process route for the beneficiation of the Gyel columbite ore sample.
Oladunni Oyelola Alabi,Shehu Aliyu Yaro,George Thomas Dungka,Ferdinand Asuke,Emmanuel Toi Dauda, (2015) Determination of Work Index of Gyel-Bukuru Columbite Ore in Plateau State, Nigeria. Journal of Minerals and Materials Characterization and Engineering,03,194-203. doi: 10.4236/jmmce.2015.33022