CN107597311A - A kind of method that steel ball matching is determined based on Grinding dynamics - Google Patents
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Abstract
The invention discloses a kind of method that steel ball matching is determined based on Grinding dynamics, mainly by influence of the reflection original ore property to grinding operation indirectly of Grinding dynamics parameter k value and m values, optimal steel ball size is determined by calculating k values and m values, finally give steel ball matching, commercial Application shows, thick rank content reduces by 5 percentage points or so in ore milling product, crossing crushing grain size content reduces by 1 percentage point or so, it is middle easily to select grain size content to improve 9 percentage points or so, the rate of recovery improves 2 percentage points or so, unit steel consumption reduces by 10% or so, unit power consumption reduces by 6% or so；The inventive method is practical, strong applicability, can be directed to the calculating that different types of ore carries out steel ball matching, in the practical application of ball mill, the treating capacity of ball mill is improved, the granularmetric composition of obtained ore milling product is more reasonable, so as to improve floatation indicators.
Description
Technical field
The present invention relates to a kind of method that steel ball matching is determined based on Grinding dynamics, belong to preparation equipment technical field.
Background technology
Grinding operation subtracts raw meal particle size as a kind of by means of the impact in itself of milling medium and material and mill stripping effect
Small treatment process, its be widely used in cement, New Building Materials, refractory material, mine, chemical industry and glass ceramics etc. with
The closely bound up every field of human society survival and development.Because spherical medium is simple to manufacture, so ball mill is given birth at the scene
It is most widely used, and is mainly used in Mineral Processing Industry in production, indispensable link of the grinding operation as ore dressing plant, cost of investment
60% or so of ore dressing plant cost of investment is accounted for, magneticore-dressing plant then reaches more than 75%, also occupies 40% in production and operation cost
More than, power consumption then accounts for the 50%~60% of ore dressing, China every year for ore grinding electricity account for the 5% of national gross generation with
On, therefore, grinding operation it is energy-saving to structure Green Mine it is most important.
The quality of ore milling product, the height of index respectively is directly determined, decision is risen to the economic benefit in ore dressing plant
The effect of property, while the disposal ability of grinding operation directly constrains the production capacity in ore dressing plant, milling medium is as ore grinding mistake
Force body in journey, there is very big decisive action to the quality of grinding operation effect, the proportioning of wherein milling medium is directly determined
Determine the height of medium energy conversion efficiency, while also have a strong impact on the quality of the granularmetric composition of ore milling product.
Research to steel ball matching has a lot, either simple method of loading and adding ball, reasonable balance method of loading and adding ball or essence
Really makeup ball loading method, be all from steel ball size calculation formula or broken statistical mechanics in terms of progress, currently without for
Grinding dynamics instruct the method for steel ball matching.
The application of Grinding dynamics is very extensive, can be to calculating grinding machine productivity ratio, the influence of circulating load and actual ore grinding
Situation of process etc. makes theoretic analysis and judgement.All feed preparation unit sizes, mog and productivity ratio for being related to ball mill etc.
The problem of, it can be analyzed with Grinding dynamics.
Research to Grinding dynamics has a lot, and Duan Xixiang, Hou Ying, Yan Faming et al. mainly study Grinding dynamics parameter
With the relation of ore grinding time, the kinetics equation of coarse granule reduction has been obtained.Wang Ling et al. have studied Ji East Anshan formula magnetic iron ore
Grinding dynamics, and simplified summary m values and k values have relation with which factor.Tang Rong et al. establishes meter with Grinding dynamics
Calculate the mathematical modeling of sphere diameter and just fill ball species.But the studies above conclusion merely illustrates Grinding dynamics phenomenon, or only
Rest in kinetic parameter theoretical research, Grinding dynamics are not effectively applied in steel ball matching practice at present.
The content of the invention
It is an object of the invention to provide a kind of method that steel ball matching is determined based on Grinding dynamics, by entering to raw ore
Row Grinding dynamics are tested, and are provided a kind of feasible method for the determination of steel ball matching, are improved the operating efficiency of ball mill.
Technical scheme is as follows：The belt of ball mill is sampled to ore deposit and grader sand return first, by institute
Take sample to carry out size exclusion, obtain each grade product, carry out matching somebody with somebody ore deposit according to sand return ratio, and as each of Grinding dynamics experiment
Grade raw ore, is tested according to Grinding dynamics, obtain under different sphere diameters Grinding dynamics parameter m values corresponding to each grade raw ore and
K values, e is calculated to each k value1/k, by result compared with ore grinding time t, judge e1/kWith t size, so as to judge to move
The size that mechanics parameter k or m influences on grinding rate, k or m maximum institute is taken to each grade raw ore according to judged result
The average value of corresponding sphere diameter or the two corresponding sphere diameter, as optimum diameter ofball, the grade product of corresponding identical sphere diameter is carried out
Merge, the percentage that the product after calculating merging is given in ore deposit entirely in ball mill, be the science ratio of the sphere diameter, so as to obtain ball
The science steel ball matching of grinding machine.
The present invention determines that the method concrete operation step of steel ball matching is as follows based on Grinding dynamics：
(1) ball mill belt is sampled to ore deposit and classifying equipoment sand return respectively under different time, by different time
Lower taken belt mixes respectively to sample ore product, sand return sample, and the sample after mixing passes through natural air drying, after then air-drying
Sample carries out size exclusion using standard bushing screen and laser particle size analyzer, and the weighing products that screen analysis is obtained simultaneously calculate each respectively
The yield of grade product, q is designated as, each grade product is individually placed, standby；
(2) each grade product for obtaining step (1) carries out matching somebody with somebody ore deposit according to sand return ratio, as each of Grinding dynamics experiment
Grade raw ore, the raw ore that quality is m is taken, respectively to being carried out with each grade raw ore obtained after ore deposit under different sphere diameter different times
Grinding dynamics are tested；Wherein sand return than to select the sand return ratio in factory's actual production, wherein the mill running speed of every group of experiment,
The conditions such as ore milling concentration, pack completeness are disposed as phase same level and carried out in same ball mill, and each ore milling product is entered
Row is collected and screen analysis, and note oversize quality is m1, the yield Q, Q=m of oversize corresponding to each grade raw ore are calculated respectively1/
M × 100%；
(3) the yield Q obtained to step (2) carries out dynamics data processing, to Q0With the ratio between Q logarithm twice is taken on e
Obtain lnln (Q0/ Q), wherein Q0For each grade product of step (1) yield according to sand return than the weighted average that is calculated,
If sand return ratio is a:B, then Q0=(qBelt×a+qSand return× b)/(a+b) × 100%, by lnln (Q0/ Q) line of being gone forward side by side to lnt mappings
Property fitting, the slope and intercept of each straight line are obtained, as Grinding dynamics parameter m values and lnk values, so as to obtain each grade raw ore
Grinding dynamics parameter m values and k values under different sphere diameters；
(4) partial derivative is asked to obtain the partial derivative equation on k and m the parameter k and m of m rank Grinding dynamics equations respectively
The absolute value of the two is simultaneously compared by formula, i.e.,WithCompare, the m obtained according to step (3)
Value and k values, e is calculated to each k value1/k, obtain working as ore grinding time t<e1/kWhen, influences of the kinetic parameter k to grinding rate
The speed that grinds more than influences of the kinetic parameter m to grinding rate, and material increases with the increase of k values, takes k maximum institute
Corresponding sphere diameter is optimal steel ball sphere diameter；As ore grinding time t>e1/kAnd during t >=1min, shadows of the kinetic parameter m to grinding rate
Sound is more than influences of the kinetic parameter k to grinding rate, and the speed that grinds of material increases with the increase of m values, takes m maximum
Corresponding sphere diameter is optimal steel ball sphere diameter；As ore grinding time t=e1/kWhen, influences of the kinetic parameter k to grinding rate is equal to
Influences of the kinetic parameter m to grinding rate, the average value for taking the two corresponding sphere diameter are optimal steel ball sphere diameter；Wherein m ranks
Grinding dynamics equation isE is taken twice logarithm obtainTherefore existIn coordinate system,It is straight line with lnt, slope m, intercept lnk, m and k are by quilt for parameter
The property and grinding condition of grind materials determine that m values depend primarily on the uniformity and intensity and ball He Lidute of grinding charge material
Property, k values are mainly determined by grinding particle size, grind thinner, and k values are smaller, it follows that conclusions；
(5) optimum diameter ofball obtained according to step (4), the grade product of corresponding identical sphere diameter is merged, calculates and closes
The percentage that product after and is given in ore deposit entirely in ball mill, it is the science ratio of the sphere diameter, so as to obtain the science of ball mill
Steel ball matching；Wherein ball mill is entirely to be obtained according to the grinding particle size of ball mill and sand return ratio with ore deposit to ore deposit, wherein actual production
In, reply science steel ball matching according to evidence of being fetched nearby in units of 5, that is, calculate each science steel ball ratio and close on 5 integer
The deviation of haplotype data, first determine the minimum steel ball ratio of deviation, the order of deviation from small to large is pressed further according to the principle that summation is 100
Try to achieve actual steel ball matching.
Compared with the methods and techniques of existing determination steel ball matching, the beneficial effects of the present invention are：
(1) various formula are overcome and calculate the shortcomings that steel ball size consideration influence factor is not complete, while avoid ore power
Learn the risk that property test has deviation.
(2) by influence of the reflection original ore property to grinding operation indirectly of Grinding dynamics parameter k value and m values, thus obtain
The steel ball matching arrived is more scientific and reasonable.
(3) this method strong applicability, the calculating that different types of ore carries out steel ball matching with this method can be directed to.
The inventive method is practical, the steel ball matching obtained by this method so that ore grinding more targetedly and selects
Property, in the practical application of ball mill, improves the treating capacity of ball mill, and it is more reasonable to obtain the granularmetric composition of ore milling product,
So as to improve floatation indicators.
Embodiment
The present invention is further illustrated by the examples that follow, but should be noted that the scope of the present invention not by these embodiments
Limitation.
Embodiment 1：The method that steel ball matching is determined based on Grinding dynamics, concrete operations are as follows：
(1) belt of Jiangxi YONGPING COPPER DEPOSIT ore dressing plant ball mill is entered to ore deposit and cyclone sand return respectively according to test requirements document
Row sampling, belt take a sample to sample ore product, take altogether 24 times, samples taken is mixed per hour, total amount 100kg, cyclone
Sand return sample takes a sample per hour, takes altogether 24 times, samples taken is mixed, total amount 100kg；Respectively to the sample after mixing
Natural air drying processing is carried out, then carries out grain size analysis, its result such as institute of table 1 using standard bushing screen and laser particle size analyzer
Show；
The particle sieving analysis result of table 1 forms %
(2) grinding particle size is+0.2mm, therefore by more than+0.2mm each grade product according to sand return than 1:1 and matched somebody with somebody
Ore deposit, as each grade raw ore of Grinding dynamics experiment, Grinding dynamics test the discontinuous wet type in 360 × 160mm of D × L
Carried out in conical ball mill, each ore grinding test ball mill fills ball 40kg, fills mineral aggregate 2.5kg, ore milling concentration 75%, pack completeness
Suitable with live ball mill with ore milling concentration, sample ore carries out matching somebody with somebody ore deposit, each ore grinding according to live belt to granularmetric composition in ore deposit
Above-mentioned condition all same is tested, the ball size used in milling medium is respectively 30mm, 40mm, 50mm, 60mm, 70mm, 80mm
Deng six levels, the ore grinding time is respectively five levels such as 5min, 10min, 15min, 20min, 25min, with the material after ore deposit
The ore grinding experiment of above-mentioned five time horizons is carried out in the case of using the steel ball of above-mentioned six diameters as milling medium respectively, it is right
Ore milling product after experiment is collected respectively, and screen analysis respectively is carried out to ore milling product, is calculated respectively corresponding to each grade raw ore
The yield Q of oversize, sees attached list 7- tables 12；
(3)Q0For each grade product of step (1) according to sand return than the weighted average being calculated, Q01=(1.27 × 1+
34.39 × 1)/2*100%=17.83%, and Q is calculated successively02~Q08, to Q0With the ratio between Q on e take twice logarithm obtain
lnln(Q0/ Q), and by lnln (Q0/ Q) lnt is mapped and carries out linear fit, the slope and intercept of each straight line are obtained, is as ground
Ore deposit kinetic parameter m values and lnk values, as shown in table 2 and table 3；
The Grinding dynamics parameter m values of table 2
The Grinding dynamics parameter lnk values of table 3
(4) from the data of table 3, lnk maximum is lnk(max)=-1.36518, according to kinetic parameter k most
Big value tries to achieve e1/k (min)=50.22min is more than the maximum time 25min that Grinding dynamics experiment in laboratory is set, so power
Learn influences of the parameter k to grinding rate to play a major role, and kinetic parameter k values are bigger, the mill of coarse fraction material in grinding machine
Broken speed is bigger, and the optimal ore grinding sphere diameter that each narrow rank material can be obtained by table 3 is as shown in table 4：
The optimum diameter ofball of 4 each grade of table
(5) sphere diameter identical grade merges one in the optimum diameter ofball for each grade for testing Grinding dynamics to obtain
Rise, according to the grinding particle size of live ball mill, ball mill belt is carried out 1 to+0.2mm in ore deposit and cyclone sand return:1 obtains with ore deposit
Ore deposit is given entirely to ball mill, according to entirely to the yield of the grade product after each merging of ore deposit come optimal corresponding to determining the grade product
The steel ball ratio of sphere diameter, as shown in table 5, so as to show that the steel ball matching scheme of ball mill is：Ф70:Ф60:Ф50:Ф 30=
30:20:25:25, wherein optimum diameter ofball is yield=(34.39+1.27)/[(100-17.94)+(100- of 70mm+8 grades
51.46)] × 100%=27.31%, similarly the grades of other corresponding sphere diameters is merged, obtain yield be respectively 22.09%,
24.16%th, 26.44%, this is the steel ball ratio of science, is in actual production Computational Methods：27.31-25=2.31 30-
27.31=2.69,22.09-20=2.09,24.16-25=0.84,26.44-25=1.44, therefore first determine that yield is
24.16% corresponding steel ball ratio is 25%, and yield is that steel ball ratio is 25% corresponding to 26.44%, and yield is 22.09% correspondence
Steel ball ratio be 20%, therefore it is 100%-25%-25%-20%=30% that yield, which is 27.31% corresponding steel ball ratio, therefore steel
Ball proportioning is 30:20:25:25, it is shown in Table 5；
The steel ball matching result of table 5
(6) commerical test is carried out with this steel ball matching, Comparative result is as shown in table 6 before and after experiment：
Indices contrast before and after the commerical test of table 6
Commercial test results are shown：+ 0.15mm yields reduce 7.47 percentage points, and -0.010mm reduces 0.76 hundred
Branch, -0.074mm add 4.23 percentage points, and centre easily selects 0.15~0.038mm of rank to add 5.70 percentage points；
Due to the improvement of ore milling product granularity, unit power consumption reduces 0.56kWh/t, and unit ball consumption reduces 0.072kg/t, and copper returns
Yield improves 2.61 percentage points.
Subordinate list 7-12：Each grade raw ore carries out Grinding dynamics experiment, the production of gained ore grinding under different sphere diameter different times
The yield Q of product oversize：
The yield % of the 30mm steel ball ore milling product oversizes of table 7
The yield % of the 40mm steel ball ore milling product oversizes of table 8
The yield % of the 50mm steel ball ore milling product oversizes of table 9
The yield % of the 60mm steel ball ore milling product oversizes of table 10
The yield % of the 70mm steel ball ore milling product oversizes of table 11
The yield % of the 80mm steel ball ore milling product oversizes of table 12
Claims (6)
- A kind of 1. method that steel ball matching is determined based on Grinding dynamics, it is characterised in that carry out as follows：(1) ball mill belt is sampled to ore deposit and classifying equipoment sand return respectively under different time, by institute under different time The belt taken mixes and carries out size exclusion respectively to sample ore product, sand return sample, and each grade weighing products that screen analysis is obtained are simultaneously Yield is calculated, each grade product is individually placed, standby；(2) each grade product for obtaining step (1) carries out matching somebody with somebody ore deposit according to sand return ratio, each grade as Grinding dynamics experiment Raw ore, respectively to carrying out Grinding dynamics experiment under different sphere diameter different times with each grade raw ore obtained after ore deposit；Wherein The conditions such as the mill running speed of every group of experiment, ore milling concentration, pack completeness are disposed as phase same level and in same ball mill Carry out, and each ore milling product is collected and screen analysis, calculate the yield Q of on-the-sieve material corresponding to each grade raw ore respectively；(3) the yield Q obtained to step (2) carries out dynamics data processing, to Q0With the ratio between Q on e take twice logarithm obtain lnln(Q0/ Q), wherein Q0For each grade product in step (1) yield according to sand return than the weighted average that is calculated, will lnln(Q0/ Q) lnt is mapped and carries out linear fit, obtain the slope and intercept of each straight line, as Grinding dynamics parameter m Value and lnk values, so as to obtain Grinding dynamics parameter m value and k value of each grade raw ore under different sphere diameters；(4) the parameter k and m of m rank Grinding dynamics equations are asked respectively partial derivative obtain on k and m partial derivative equation simultaneously The absolute value of the two is compared, the m values and k values obtained further according to step (3), e is calculated to each k value1/k, worked as Ore grinding time t<e1/kWhen, influences of the kinetic parameter k to grinding rate is more than influences of the kinetic parameter m to grinding rate, and The speed that grinds of material increases with the increase of k values, and it is optimum diameter ofball to take sphere diameter corresponding to k maximum；As ore grinding time t>e1/k And during t >=1min, influences of the kinetic parameter m to grinding rate is more than influences of the kinetic parameter k to grinding rate, and material The speed that grinds increase with the increase of m values, it is optimum diameter ofball to take sphere diameter corresponding to m maximum；As ore grinding time t=e1/kWhen, Influences of the kinetic parameter k to grinding rate is equal to influences of the kinetic parameter m to grinding rate, takes the two corresponding sphere diameter Average value is optimum diameter ofball；(5) optimum diameter ofball obtained by step (4), the grade product of corresponding identical sphere diameter is merged, calculated after merging The percentage that product is given in ore deposit entirely in ball mill, it is the science ratio of the sphere diameter, matches somebody with somebody so as to obtain the science steel ball of ball mill Than.
- A kind of 2. method that steel ball matching is determined based on Grinding dynamics according to claim 1, it is characterised in that：Step (1) samples taken is needed by natural air drying after mixing under different time in, then carries out size exclusion.
- A kind of 3. method that steel ball matching is determined based on Grinding dynamics according to claim 1, it is characterised in that：Step (1) size exclusion device therefor is standard bushing screen and laser particle size analyzer in.
- A kind of 4. method that steel ball matching is determined based on Grinding dynamics according to claim 1, it is characterised in that：Step (5) science steel ball matching is obtained, in actual production, reply science steel ball matching calculates according to evidence of being fetched nearby in units of 5 Each science steel ball ratio and close on 5 integer multiple data deviation, first determine the minimum steel ball ratio of deviation, be further according to summation 100 principle tries to achieve actual steel ball matching by the order of deviation from small to large.
- A kind of 5. method that steel ball matching is determined based on Grinding dynamics according to claim 1, it is characterised in that：Sand return Than for each sand return ratio selected in factory's actual production.
- A kind of 6. method that steel ball matching is determined based on Grinding dynamics according to claim 1, it is characterised in that：Step (5) ball mill is entirely to be obtained according to the grinding particle size of ball mill and sand return ratio with ore deposit to ore deposit in.
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| CN108520164A (en) * | 2018-03-16 | 2018-09-11 | 东北大学 | A kind of microwave heating improves the analysis method of vanadium titano-magnetite grindability |
| CN108520164B (en) * | 2018-03-16 | 2020-07-24 | 东北大学 | Analysis method for improving grindability of vanadium titano-magnetite through microwave heating |
| CN109085809A (en) * | 2018-08-29 | 2018-12-25 | 东北大学 | The distribution parameter simulation system of extended type ball mill size distribution |
| CN109569809A (en) * | 2018-11-13 | 2019-04-05 | 北京国电龙源环保工程有限公司 | A kind of desulfurization based on big data grinds system steel ball method of adjustment and system |
| CN111241691A (en) * | 2020-01-16 | 2020-06-05 | 鞍钢集团矿业有限公司 | Method for determining size and proportion of ore grinding medium of first-stage ball mill |
| CN111241691B (en) * | 2020-01-16 | 2023-04-07 | 鞍钢集团矿业有限公司 | Method for determining size and proportion of ore grinding medium of first-stage ball mill |
| CN111881582A (en) * | 2020-07-29 | 2020-11-03 | 武汉科技大学 | Method for selecting ball diameter and gradation of grinding ball of horizontal stirring mill |
| CN111881582B (en) * | 2020-07-29 | 2022-05-13 | 武汉科技大学 | Method for selecting ball diameter and gradation of grinding ball of horizontal stirring mill |
| CN114471849A (en) * | 2022-01-28 | 2022-05-13 | 南京银茂铅锌矿业有限公司 | Ore grinding medium proportioning method in primary grinding machine using magnetic lining plate |
| CN114985064A (en) * | 2022-06-07 | 2022-09-02 | 昆明理工大学 | Medium grading optimization method based on crushing statistical mechanics |
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