CN111241691A - Method for determining size and proportion of ore grinding medium of first-stage ball mill - Google Patents
Method for determining size and proportion of ore grinding medium of first-stage ball mill Download PDFInfo
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- CN111241691A CN111241691A CN202010045617.0A CN202010045617A CN111241691A CN 111241691 A CN111241691 A CN 111241691A CN 202010045617 A CN202010045617 A CN 202010045617A CN 111241691 A CN111241691 A CN 111241691A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
- B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
- B02C17/00—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
- B02C17/10—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls with one or a few disintegrating members arranged in the container
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
- B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
- B02C17/00—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
- B02C17/18—Details
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
- B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
- B02C17/00—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
- B02C17/18—Details
- B02C17/20—Disintegrating members
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P40/00—Technologies relating to the processing of minerals
- Y02P40/10—Production of cement, e.g. improving or optimising the production methods; Cement grinding
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Abstract
The invention relates to a method for rapidly determining the size and the proportion of an ore grinding medium of a ball mill, which comprises the steps of dividing materials into a plurality of size fractions according to the granularity composition of ore materials to be ground, determining the Mohs hardness of the ore to be ground and the granularity composition of the materials of each size fraction, calculating the ball diameter of the materials of each size fraction by using a Bunde simple empirical formula and the Mohs hardness of the ore to be ground, and calculating the optimal proportion of the ore grinding medium according to the content of each size fraction in the ore to be ground. The advantages are that: (1) the method provided by the invention has good adaptability for materials with the maximum particle size of 5-25 mm. (2) The method can quickly determine the size and the proportion of the steel ball medium for grinding the ore by using simple ore hardness test, size fraction screening experiment and theoretical calculation, has simple steps and short period, and can save the production time. (3) The invention determines the proper steel ball size and proportion aiming at the ores with different types and different particle sizes, saves the production time and improves the ore grinding efficiency.
Description
Technical Field
The invention belongs to the technical field of mineral separation, and particularly relates to a method for determining the size and the proportion of a grinding medium of a first-stage ball mill.
Background
The ore grinding process is a complex and variable process, and has a plurality of influence factors, wherein the size of an ore grinding medium and a proportioning system thereof have the most obvious influence on the ore grinding efficiency and the dissociation degree of mineral monomers, but for a long time, the steel balls for the first-stage ball mill on the production site have single size (the size of the ball grinding medium is generally phi 120mm or phi 100mm), the ore grinding efficiency is low, and the energy consumption is high; however, the proper medium size and proportion are determined by the optimization of ore grinding industry tests, and the period is too long, so that the normal operation of production activities is influenced. Therefore, it is necessary to develop a method for rapidly determining the size and the proportion of the medium in the ball mill.
Disclosure of Invention
The invention aims to provide a method for determining the size and the proportion of an ore grinding medium of a one-section ball mill, which comprises the following steps of dividing materials into a plurality of size fractions according to the granularity composition of ore materials to be ground, calculating the reasonable spherical diameter of each size fraction material by using a Bande simple empirical formula and the Mohs hardness of ore stones to be ground by measuring the Mohs hardness of the ore to be ground and the granularity composition of each size fraction material, and calculating the optimal proportion of the ore grinding medium according to the content of each size fraction in the ore to be ground, wherein the method comprises the following specific steps:
(1) uniformly mixing materials to be ground with the maximum granularity of 5mm-25mm, and performing division;
(2) determining the Mohs hardness of the ore to be ground according to the formula
Calculating the hardness correction coefficient, wherein k is the hardness correction coefficient of the ore, and f is the hardness of the ore to be groundMohs hardness;
(3) according to the formula Q ═ 0.2d2Weighing the weight of the materials, wherein Q is the weight of the materials, kg; d is the maximum particle size of the material, mm; screening by adopting a standard sieve of 1-20 mm to determine the granularity composition of the ore sample;
(4) the material is equally divided into 3-4 size fractions and each single size fraction is subjected to size fraction screening. According to the simple empirical formula of bond
Calculating the size of steel balls required by each grade material, wherein DbIs the required steel ball size, mm; p80The particle size of the ore feeding is 80% of the sieved ore feeding particle size, mm;
(5) multiplying the size of the steel ball obtained in the step (4) by a hardness correction coefficient of the ore to be ground to obtain the reasonable size of the steel ball of each grade material;
(6) according to the linear superposition principle, the size of the steel ball corresponding to each grade material obtained in the step (5) and the content of the material obtained in the step (4) are the size and the proportion of the grinding medium of the first-stage ball mill.
Compared with the prior art, the invention has the characteristics and beneficial effects that:
(1) the method provided by the invention has good adaptability for materials with the maximum particle size of 5-25 mm.
(2) The method can quickly determine the reasonable size and the proportion of the steel ball medium for grinding the ore by using simple ore hardness test, size fraction screening experiment and theoretical calculation, has simple steps and short period, and can save the production time.
(3) The invention determines the proper steel ball size and proportion aiming at the ores with different types and different particle sizes, saves the production time and improves the ore grinding efficiency.
Detailed Description
The following examples are only to illustrate the present invention, and the method of the present invention is not limited to the examples.
The invention relates to a method for rapidly determining the size and the proportion of an ore grinding medium of a section of ball mill, which divides materials into a plurality of size fractions according to the granularity composition of ore materials to be ground, calculates the reasonable spherical diameter of each size fraction material by using a Bunde simple empirical formula and the Mohs hardness of ore stones to be ground by measuring the Mohs hardness of the ore materials to be ground and the granularity composition of each size fraction ore material, and then calculates the optimal proportion of the ore grinding medium according to the content of each size fraction in the ore to be ground.
Example 1
In the experiment, the hematite after being crushed in a certain selection plant is evenly mixed with the grinding material with the maximum granularity of 8mm, the Mohs hardness of the ore to be ground is measured to be 5.6,
the processing steps are as follows:
(1) and (3) moving and piling for three times by adopting a pile moving method to uniformly mix the hematite ore, namely, slowly pouring the ore sample to a central point to form a conical ore pile, shoveling and placing the ore sample from two opposite positions of the conical bottom along the same direction to another central point nearby to form a new conical ore pile, and mixing for 3 times to uniformly mix the materials. And (3) splitting the uniformly mixed ore sample by adopting a stacking cone quartering method, namely stacking the uniformly mixed material into a cone, inserting a thin plate into one half of the total height of the bottom of the ore stack, rotating the thin plate to spread the ore stack into a flat shape, drawing a cross line through a center point, dividing the cross line into four sectors, and combining the opposite angle parts into one ore sample to finish primary splitting. The mixture is condensed for three times, and 12.8kg of uniformly mixed qualified samples are taken out;
(2) according to the formula
Calculating the hardness correction coefficient, and calculating the hardness correction coefficient of the ore to be ground
(3) Screening qualified samples which are taken out after uniform mixing and shrinkage by using a standard inspection sieve (the sieve pore sizes are respectively 6mm, 5mm, 4mm, 3mm, 2mm and 1 mm);
(4) dividing the raw material into 3 size fractions according to the screening result, specifically-8.0 +5.0mm, -5.0+2.0mm and-2.0 mm;
(5) carrying out size fraction screening on each single-size-fraction material in the step (4) to obtain P80Respectively as follows: 7.63mm, 4.69mm，1.85mm；
(6) And (3) obtaining the appropriate sphere diameter of each grade of mineral aggregate according to a bond simple empirical formula and the hardness coefficient of the ore to be ground: 71.17mm, 56.10mm and 33.98mm, and selecting steel balls with phi 70mm, phi 55mm and phi 35mm as the proper steel ball sizes of each grade according to the specifications of the steel balls sold in the market.
(7) According to the results of the step (4) and the step (6), determining that the reasonable raw ore grinding steel ball proportion is phi 70 mm: phi 55mm: Φ 35mm 1/3: 1/3: 1/3.
Example 2
The method is the same as example 1, except that:
(1) raw materials: the Mohs hardness of a certain foreign magnetite ore is 5.5, and the maximum granularity of the ore is 13 mm;
(2) calculating the hardness coefficient of the ore to be ground to be 1.0;
(3) mixing the materials for 3 times by using a moving pile method, dividing the uniformly mixed materials for 3 times by using a pile cone quartering method, taking out 33.8kg of qualified samples, and screening;
(4) the standard sieve mesh size used when sieving the raw material is 12.5mm, 10mm, 8mm, 6mm, 5mm, 3mm, 2mm, 1 mm;
(5) dividing the raw material into 4 size fractions according to the screening result, specifically-13.0 mm +10mm, -10.0+5.0mm, -5.0+2.0mm, and-2.0 mm;
(6) carrying out size fraction screening on each single-size-fraction material in the step (5) to obtain P80Respectively as follows: 12.68mm, 9.05mm, 4.54mm, 1.75 mm.
(7) Calculating the appropriate sphere diameter according to a bond simple empirical formula and the hardness coefficient of the ore to be ground: 90.43mm, 76.40mm, 54.11mm, 33.60 mm. According to the specifications of commercially available steel balls, steel balls with the grain diameters of 90mm, 75mm, 55mm and 35mm are respectively selected as steel balls with the proper size for each grain size.
(8) And (4) determining a reasonable raw ore grinding steel ball ratio of phi 90mm to phi 75mm to phi 55mm to phi 35mm to 1/4 to 1/4 to 1/4 to 1/4 according to the results of the step (5) and the step (7).
Example 3
The method is the same as example 1, except that:
(1) raw materials: the hardness of a certain chalcopyrite in China is 4.4, and the maximum granularity is 15 mm.
(2) Calculating the hardness coefficient of the ore to be ground: 0.8.
(3) mixing the materials for 3 times by using a moving pile method, dividing the uniformly mixed materials for 3 times by using a pile cone quartering method, taking out 45kg of qualified samples, and screening;
(4) the standard sieve mesh size used when sieving the raw material is 12.5, 10, 8, 6, 5, 3, 2, 1 mm.
(5) Equally dividing the raw materials into 4 size fractions according to the screening result, specifically: -15.0+10.0mm, -10.0+5.0mm, -5.0+2.0mm, -2.0 mm.
(6) Carrying out size fraction screening on each single-size-fraction material in the step (5) to obtain P80Respectively as follows: 13.90mm, 9.38mm, 4.23mm, 1.65 mm.
(7) Calculating the appropriate sphere diameter according to a bond simple empirical formula and the hardness coefficient of the ore to be ground: 75.75mm, 62.23mm, 41.79mm, 26.10 mm. According to the specifications of the steel balls sold in the market, steel balls with the diameter of 75mm, the diameter of 60mm, the diameter of 40mm and the diameter of 30mm are respectively selected as steel balls with the proper size of each grain size.
(8) According to the results of the step (5) and the step (7), determining that the reasonable raw ore grinding steel ball proportion is phi 75mm: phi 60 m: phi 40 mm: Φ 30mm 1/4:1/4:1/4: 1/4.
Example 4
The method is the same as example 1, except that:
(1) raw materials: the hardness of a certain domestic tin ore is 6.5, and the maximum granularity is 25 mm.
(2) Calculating the hardness coefficient of a sample to be ground: 1.3.
(3) the materials are mixed for 3 times by using a moving heap method, the uniformly mixed materials are divided for 2 times by using a stacking cone quartering method, and then 125kg of qualified samples are taken out and sieved.
(4) The standard sieve mesh size used for sieving raw materials is 25mm, 20mm, 18mm, 15mm, 12.5mm, 10mm, 8mm, 6mm, 5mm, 2 mm.
(5) Equally dividing the raw materials into 3 size fractions according to the screening result, specifically: -25.0+15mm, -15.0+10.0mm, -10+5mm, -5.0 mm.
(6) Carrying out the treatment on each single-size-fraction material in the step (5)Size fraction screening to obtain P80Respectively as follows: 22.39mm, 14.25mm, 9.04mm, 4.18 mm.
(7) Calculating the appropriate sphere diameter according to a bond simple empirical formula and the hardness coefficient of the ore to be ground: 156.25mm, 124.64mm, 99.28mm, 67.12 mm. According to the specifications of the steel balls sold in the market, steel balls with phi 155mm, phi 125mm, phi 100mm and phi 65mm are respectively selected as steel balls with proper sizes of various grain sizes.
(8) According to the results of the step (5) and the step (7), determining that the reasonable raw ore grinding steel ball proportion is phi 155 mm: phi 125 mm: phi 100 mm: Φ 65mm 1/4:1/4:1/4: 1/4.
Claims (2)
1. A method for determining the size and proportion of grinding media of a one-section ball mill comprises the following steps of dividing materials into a plurality of size fractions according to the size composition of the grinding materials, determining the Mohs hardness of the ore to be ground and the size composition of the materials of each size fraction, calculating the ball diameter of the materials of each size fraction by using a Bangde simple and convenient empirical formula and the Mohs hardness of the ore to be ground, and calculating the optimal proportion of the grinding media according to the content of each size fraction in the grinding ores, wherein the method comprises the following specific steps:
(1) uniformly mixing materials to be ground with the maximum granularity of 5mm-25mm, and performing division;
(2) determining the Mohs hardness of the ore to be ground according to the formula
Calculating the hardness correction coefficient, wherein k is the ore hardness correction coefficient, and f is the Mohs hardness of the ore to be ground;
(3) according to the formula Q ═ 0.2d2Weighing the weight of the materials, wherein Q is the weight of the materials, kg; d is the maximum particle size of the material, mm; screening by adopting a standard sieve of 1-20 mm to determine the granularity composition of the ore sample;
(4) equally dividing the material into 3-4 size fractions, and calculating according to a Bondy simple empirical formula
Calculating the size of steel balls required by each grade material, wherein DbTo the desired steelBall size, mm; p80The particle size of the ore feeding is 80% of the sieved ore feeding particle size, mm;
(5) multiplying the size of the steel ball obtained in the step (4) by a hardness correction coefficient of the ore to be ground to obtain the size of the steel ball suitable for each grade material;
(6) according to the linear superposition principle, the size of the steel ball corresponding to each grade material obtained in the step (5) and the content of the material obtained in the step (4) are the size and the proportion of the grinding medium of the first-stage ball mill.
2. The method for rapidly determining the size and the proportion of the ore grinding medium of the first-stage ball mill according to claim 1, wherein the reduction is performed for 3-5 times, and a standard sieve with the size of 20-1 mm is adopted for parallel sieving.
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Cited By (4)
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| CN114505145A (en) * | 2022-02-24 | 2022-05-17 | 江西理工大学 | Method for accurately assembling ceramic balls |
| CN115245861A (en) * | 2022-07-27 | 2022-10-28 | 江西理工大学 | Ball mill specification model selection method and system with ceramic balls as ore grinding media |
| CN115845991A (en) * | 2022-12-06 | 2023-03-28 | 昆明理工大学 | Method for determining steel ball grading by predicting semi-autogenous grinding hard stone crushing effect based on Tavares crushing model |
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| CN115845991A (en) * | 2022-12-06 | 2023-03-28 | 昆明理工大学 | Method for determining steel ball grading by predicting semi-autogenous grinding hard stone crushing effect based on Tavares crushing model |
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