CN115096766A - Method for obtaining ball diameter of primary ball of fine grinding ball mill - Google Patents

Method for obtaining ball diameter of primary ball of fine grinding ball mill Download PDF

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Publication number
CN115096766A
CN115096766A CN202210767938.0A CN202210767938A CN115096766A CN 115096766 A CN115096766 A CN 115096766A CN 202210767938 A CN202210767938 A CN 202210767938A CN 115096766 A CN115096766 A CN 115096766A
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ball
diameter
ore
fine grinding
mill
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孙浩杰
杨俊彦
肖天宇
刘斌
谷建国
张圣东
游世辉
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Zaozhuang University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
    • G01N15/02—Investigating particle size or size distribution
    • G01N15/0272—Investigating particle size or size distribution with screening; with classification by filtering
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
    • G01N15/02—Investigating particle size or size distribution
    • G01N15/0205—Investigating particle size or size distribution by optical means, e.g. by light scattering, diffraction, holography or imaging
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
    • G01N15/02—Investigating particle size or size distribution
    • G01N2015/0277—Average size only

Abstract

The invention relates to a method for obtaining the ball diameter of a primary ball of a fine grinding ball mill, which belongs to the technical field of mineral processing, in particular to the technical field of crushing and grinding. The invention comprises the following steps: determining the fine grinding ball cutting kinetic energy of the initially loaded ball, and calculating the anti-damage capability E of the ore block with the diameter d k The particles are ground, and the tangential kinetic energy E of the steel balls is required to be more than or equal to the anti-damage capability E of the ore particles k And calculating the diameter of the steel ball. The precision of the initial ball diameter of the fine grinding ball mill calculated by the method is high, five key parameters of the specific uniaxial compressive strength of ore, the ore feeding and discharging and screening granularity, the rotating speed rate of the mill, the effective density of steel balls, an intermediate polycondensation layer and the grinding and stripping effect in the previous fine grinding process are comprehensively considered, and the method is a fine grinding ball diameter formula with the most considered parameters at present.

Description

Method for obtaining ball diameter of primary ball of fine grinding ball mill
Technical Field
The invention relates to a method for obtaining the ball diameter of a primary ball of a fine grinding ball mill, which belongs to the technical field of mineral processing, in particular to the technical field of crushing and grinding.
Background
In the cyanidation production of gold, the leaching quantity of gold is changed in proportion to the contact area of cyanide solution and the surface of gold particles, the exposure condition of the gold particles is related to the grinding fineness, and the finer the grinding fineness, the more complete the exposure of the gold particles, and the faster the leaching speed. Therefore, the fineness of the ground ore is one of the key factors for determining the quality of the whole cyanidation index. The material and power consumption of the ore grinding classification flow accounts for twenty-five to thirty percent of the total cyanidation production cost.
The accuracy of the ball diameter of the steel balls loaded in the ball mill is related to the reduction of power consumption and ball consumption, however, how to accurately load the balls for the first time is always a difficult problem. The most widely used foreign formula is the Alis-Charlemos formula
Figure DEST_PATH_IMAGE001
Empirical formula for sphere diameter of Henkensonde
Figure 710548DEST_PATH_IMAGE002
The two formulas contain the Bunder work index Wi, existing Wi data exist in mine data of China, and the Bunder work index ball mill needs to be purchased for direct measurement, so that time and labor are consumed.
The section of the auspicious professor in China recommends a sphere radius semi-theoretical formula according to the actual situation of the concentrating mill in China
Figure DEST_PATH_IMAGE003
The formula is the most widely applied initial ball-loading formula in China at present, but the formula is derived based on the Rogin smashing hypothesis, and the grinding and stripping effects of the steel balls on ore particles are not considered in the formula, so that the problem of field application adaptability is caused. However, in the fine grinding process, the reduction in the particle diameter of the steel balls is mainly due to the abrasive peeling effect.
Therefore, it is necessary to provide a method for initially loading a fine grinding ball mill, which is simple and easy to implement and mainly uses the steel ball milling and stripping function.
Disclosure of Invention
The invention aims to provide a method for obtaining the ball diameter of the primary balls of a fine grinding ball mill, so that the aim of saving the power consumption and the ball consumption of the ball mill is fulfilled, the ore grinding fineness of ore discharge of the ball mill is improved, and the downstream leaching process index is improved.
The invention comprises the following steps:
the invention relates to a method for obtaining the ball diameter of the primary ball of a fine grinding ball mill, which is characterized in that,
1) determining the fine grinding ball cutting kinetic energy of the initially loaded ball, wherein for an effective mass m steel ball in the slurry pond, the tangential kinetic energy E of the steel ball is as follows:
wherein the rotating speed rate of the grinding machine is,
Figure 916402DEST_PATH_IMAGE004
the effective density of the steel ball in the slurry pool is unit g/cm 3 ；R-The diameter of the ball-loaded intermediate polycondensation layer, unit m, is a numerical value measured after on-site ball mill investigation.
2) Resistance of ore block with diameter d to destruction E k Is composed of
Figure DEST_PATH_IMAGE005
，
Wherein d is the diameter of ore particles when 95 percent of ore is fed and sieved, unit cm,
Figure 111891DEST_PATH_IMAGE006
in kg/cm, corresponding to the uniaxial compressive strength of the ore particles 2 ；
3) Grinding the particles to obtain a steel ball with a tangential kinetic energy E greater than or equal to the destruction resistance E of the ore particles k Find E = E k The particle size of the (co) polymer is,
Figure DEST_PATH_IMAGE007
，
4) the diameter of the steel ball is calculated,
Figure 10577DEST_PATH_IMAGE008
，
deducing the ball diameter of the initial ball of the ball mill
Figure DEST_PATH_IMAGE009
Figure 954000DEST_PATH_IMAGE006
Uniaxial compressive strength, kg/cm 2
Figure 229123DEST_PATH_IMAGE010
Mesh length in cm for 95% of the feed
Figure DEST_PATH_IMAGE011
-rate of rotation of mill
Figure 341436DEST_PATH_IMAGE012
Effective density of the steel balls in the liquid, g/cm 3
R-The diameter of the ball-loaded intermediate polycondensation layer, in m, is a value measured after on-site ball mill investigation.
According to the method for obtaining the ball diameter of the primary balls of the fine grinding ball mill, in the step 2, the uniaxial compressive strength sigma is obtained by measuring after selecting ore particles, firstly, 10 representative ore blocks are taken, then, a cutting machine is adopted to cut the representative ore blocks into samples with the length, width and height of 5cm x 5cm, and finally, a universal testing machine is adopted to measure and obtain the uniaxial compressive strength sigma.
According to the method for obtaining the ball diameter of the primary balls of the fine grinding ball mill, ore particles with the diameter d are obtained after ore feeding and screen analysis, a representative ball mill is taken to screen analysis on a square Taylor screen for ore to obtain four groups of particle sizes, representative particle groups are selected after reduction, the particle size of 100 particles is measured by adopting a microscope counting method, and the average particle size d of ore feeding in each group of particle sizes is calculated.
According to the method for obtaining the initial ball diameter of the fine grinding ball mill, the weight proportion of the steel balls with different ball diameters is determined according to the yield ratio of each group of particle size grades, and the weight of the steel balls with different ball diameters is determined according to the initial ball weight designed by the mill.
According to the fine grinding ball mill is initially installedThe method for obtaining the ball diameter of the ball comprises the steps of examining an on-site ball mill to obtain the rotating speed rate of the mill
Figure DEST_PATH_IMAGE013
Effective density of steel balls in liquid
Figure 145444DEST_PATH_IMAGE014
Diameter of the spherical intermediate polycondensation layerRThe numerical value of (c).
According to the method for obtaining the ball diameter of the primary balls of the fine grinding ball mill, the ore blocks are gold ores, copper ores, iron ores or coal ores.
The invention has the specific advantages that:
the precision of the initial ball diameter of the fine grinding ball mill calculated by the method is high, five key parameters of the specific uniaxial compressive strength of ore, the ore feeding and discharging and screening granularity, the rotating speed rate of the mill, the effective density of steel balls, an intermediate polycondensation layer and the grinding and stripping effect in the previous fine grinding process are comprehensively considered, and the method is a fine grinding ball diameter formula with the most considered parameters at present.
Detailed Description
The technical solution of the present invention is further described below by specific examples.
The method for obtaining the diameter of the primary ball of the fine grinding ball mill is obtained by calculating each process parameter, and the specific parameter obtaining step is,
(1) 10 representative ore blocks were cut into samples of 5cm by 5cm in length, width and height by a cutter, and the uniaxial compressive strength σ was measured by a universal testing machine.
(2) Taking a representative ball mill to sieve out a square Taylor sieve for mining to obtain four groups of particle sizes and a sieving particle size d of 95 percent For feeding The particle size.
(3) And (4) dividing the four groups of screened ore feeding and discharging materials, then selecting representative particle groups, measuring the particle size of 100 particles by adopting a microscope counting method, and calculating the average particle size d of the ore feeding in each group of particle size fractions.
(4) After the field ball mill is inspected, the rotating speed rate of the mill is obtained
Figure DEST_PATH_IMAGE015
Effective density of steel balls in liquid
Figure 15311DEST_PATH_IMAGE014
Diameter of the spherical intermediate polycondensation layerRThe numerical value of (c).
(5) Substituting the numerical value and the uniaxial compressive strength sigma parameter in the parameters in the step 4
Figure 828546DEST_PATH_IMAGE009
The initial ball diameter of each grade is calculated by a formula, the weight proportion of steel balls with different ball diameters is determined according to the yield ratio of each group of grades, and the weight of the steel balls with different ball diameters is determined according to the initial ball weight designed by the mill.
The calculation principle of the invention is as follows:
according to the steel ball throwing type motion model, the striking kinetic energy of a steel ball is divided into normal kinetic energy and tangential kinetic energy, the normal kinetic energy mainly plays a role in impact, and the tangential kinetic energy mainly plays a role in grinding and stripping. Aiming at the rough grinding operation of the concentrating mill, the impact effect is the dominant effect of ore crushing, and the normal component velocity mainly plays an impact effect; for fine grinding operation, the fineness of ore grinding and feeding is as high as-0.074 mm, and the fraction accounts for 50-70%, at the moment, the impact area of the particles is quite small, so that the impact power is reduced, and the particle size of the particles is mainly reduced through grinding and stripping.
Linear velocity:
Figure 795365DEST_PATH_IMAGE016
tangential component velocity:
Figure DEST_PATH_IMAGE017
for the steel ball with effective mass m in the ore pulp, the tangential kinetic energy E of the steel ball is as follows:
Figure 274669DEST_PATH_IMAGE018
destructive resistance E of ore particles of diameter d k Is composed of
Figure 303936DEST_PATH_IMAGE005
For the fine grinding process, the grinding process mainly depends on grinding and peeling, so the tangential kinetic energy E of the steel ball must be more than or equal to the anti-damage capability E of the ore particles to grind the particles k Therefore, it is only necessary to find E = E k Particle diameter of
Figure 920862DEST_PATH_IMAGE007
Figure 240722DEST_PATH_IMAGE008
Figure 652112DEST_PATH_IMAGE009
Figure DEST_PATH_IMAGE019
-the ore feed particle size is the exact sphere diameter, cm, required for a particular grinding condition
Figure 27730DEST_PATH_IMAGE006
Uniaxial compressive strength, kg/cm 2
Figure 917188DEST_PATH_IMAGE010
Mesh length in cm for 95% of the feed
Figure 124179DEST_PATH_IMAGE011
-rate of rotation of mill
Figure 440891DEST_PATH_IMAGE012
Effective density of the steel balls in the liquid, g/cm 3
RDiameter of the spherical intermediate polycondensation layer, m
In example 1 of the present invention, the processing ore is taken as an example of gold ore, and the specific calculation process is as follows.
The invention discloses an example of a calculation method for the initial ball diameter of a ball mill, which comprises the following steps:
(1) taking 10 blocks of representative ore blocks, cutting the blocks into samples with length, width and height of 5cm x 5cm by a cutting machine, and measuring the tensile stress sigma =1620 kg/cm by a universal testing machine 2
(2) Taking a representative ball mill for feeding and discharging ores, and carrying out sieving by using a square Taylor sieve to obtain four groups of sieve particle sizes with the yield of 95 percent For feeding Particle size of 0.1 cm.
(3) And (4) dividing the four groups of screened ore feeding and discharging materials, then selecting representative particle groups, measuring the particle size d of 100 particles by adopting a microscope counting method, and calculating the average particle size d =0.1cm of the ore feeding in each group of particle size fractions.
(4) After the field ball mill is inspected, the size of the mill is phi 3.2m x 4.0m to obtain the rotating speed rate of the mill
Figure 100542DEST_PATH_IMAGE013
=0.76 effective density of steel ball in liquid
Figure 59271DEST_PATH_IMAGE014
=5.935g/cm 3 Diameter of the spherical intermediate polycondensation layer
Figure 291407DEST_PATH_IMAGE020
=2.06m。
(5) And (4) substituting the numerical values and the tensile stress sigma parameters in the step (4) into a formula to calculate the initial ball diameter of each grain size to be 30mm, 25mm, 20mm, 15mm and 10mm, determining the weight ratio of the steel balls with different ball diameters according to the yield ratio of each group of grain sizes to be 45:25:15:10:5, and determining the weight of each ball diameter steel ball according to the initial ball weight designed by the mill.
In embodiment 2 of the present invention, the processing ore is taken as an example of a gold ore, and the specific calculation process is as follows.
The invention discloses an example of a calculation method of the initial ball diameter of a ball mill, which comprises the following steps:
(1) taking 10 blocks of representative ore blocks, cutting the blocks into samples with length, width and height of 5cm x 5cm by a cutting machine, and measuring the tensile stress sigma =1320 kg/cm by a universal testing machine 2 。
(2) Taking a representative ball mill for feeding and discharging ores, and carrying out sieving analysis by using a square Taylor sieve to obtain four groups of particle size fractions with yield of 95% sieving particle size d =0.3 cm.
(3) And (3) dividing the four groups of screened ore feeding and discharging materials, then selecting representative particle groups, measuring the particle size d of 100 particles by adopting a microscope counting method, and calculating the average particle size d =0.23cm of the ore feeding and discharging in each group of particle size fractions.
(4) After the field ball mill is inspected, the size of the mill is phi 3.6m by 4.2m to obtain the rotating speed rate of the mill
Figure 247862DEST_PATH_IMAGE013
=0.85 effective density of steel ball in liquid
Figure 129230DEST_PATH_IMAGE014
=5.802 g/cm 3 Diameter of the spherical intermediate polycondensation layer
Figure 360491DEST_PATH_IMAGE020
=3.21m。
(5) And (3) substituting the numerical values in the parameters in the step (4), the parameters of the tensile stress sigma, the elastic modulus E and the specific surface energy gamma into a formula to obtain the initial ball diameter of 25mm, 20mm, 15mm and 10mm of each grade, determining the weight ratio of the steel balls with different ball diameters according to the yield ratio of each group of grades to be 50:30:15:15, and determining the weight of the steel balls with different ball diameters according to the initial ball weight designed by a mill.
The precision of the initial ball diameter of the fine grinding ball mill obtained by calculation is high, five key parameters of the specific uniaxial compressive strength of ore, the ore feeding and discharging and sieving granularity, the rotating speed rate of the mill, the effective density of steel balls, an intermediate polycondensation layer and the grinding and stripping effect in the previous fine grinding process are comprehensively considered, and the formula is the fine grinding ball diameter formula with the most considered parameters at present.
The reasonable ball diameter can achieve the purpose of saving the power consumption and ball consumption of the ball mill, improve the ore grinding fineness of ore discharge of the ball mill and improve the indexes of a downstream leaching process.

Claims (6)

1. A method for obtaining the ball diameter of the primary ball of a fine grinding ball mill is characterized in that,
1) determining the fine grinding ball cutting kinetic energy of the initially loaded balls, wherein for an effective mass m of steel balls in the slurry pool, the tangential kinetic energy E of the steel balls is as follows:
Figure 624658DEST_PATH_IMAGE001
，
wherein
Figure 839738DEST_PATH_IMAGE002
In order to obtain the rotation speed rate of the grinding machine,
Figure 365135DEST_PATH_IMAGE003
is the effective density of the steel ball in the slurry tank, and the unit is g/cm 3 ；R-The diameter of the spherical intermediate polycondensation layer, unit m, is a numerical value measured after the on-site ball mill investigation;
2) resistance of ore block with diameter d to destruction E k Is composed of
Figure 956654DEST_PATH_IMAGE004
，
Wherein d is the diameter of ore particles when 95 percent of ore is fed and sieved, unit cm,
Figure 385361DEST_PATH_IMAGE005
in kg/cm, corresponding to the uniaxial compressive strength of the ore particles 2 ；
3) Grinding the particles to obtain a steel ball with a tangential kinetic energy E greater than or equal to the destruction resistance E of the ore particles k Find E = E k The particle size of the (co) polymer is,
Figure 771343DEST_PATH_IMAGE006
，
4) the diameter of the steel ball is calculated,
Figure 816659DEST_PATH_IMAGE007
，
deducing the ball diameter of the initial ball of the ball mill
Figure 946289DEST_PATH_IMAGE008
Figure 229503DEST_PATH_IMAGE005
Uniaxial compressive strength, kg/cm 2 ，
Figure 51966DEST_PATH_IMAGE009
-mesh length in cm at 95% screening of the feed,
Figure 53420DEST_PATH_IMAGE002
-a rate of rotation of the mill,
Figure 986741DEST_PATH_IMAGE010
effective density of the steel balls in the liquid, g/cm 3 ，
R-The diameter of the ball-loaded intermediate polycondensation layer, in m, is a value measured after on-site ball mill investigation.
2. The method for obtaining the ball diameter of the primary balls of the fine grinding ball mill according to claim 1, wherein in the step 2, the uniaxial compressive strength σ is obtained by selecting and measuring the ore particles, and the uniaxial compressive strength σ is obtained by firstly taking 10 blocks of representative ore blocks, then cutting the representative ore blocks into samples with the length, width and height of 5cm x 5cm by using a cutting machine, and finally measuring the uniaxial compressive strength σ by using a universal testing machine.
3. The method for obtaining the ball diameter of the primary balls of the fine grinding ball mill according to claim 2, wherein the ore particles having a diameter d are obtained by subjecting the ore particles to sieving, subjecting the ore particles to sieving by using a square Taylor sieve to obtain four particle groups, classifying the four particle groups, selecting the four particle groups, measuring the particle diameter of 100 particles by using a microscopic counting method, and calculating the average particle diameter d of the ore particles in each particle group.
4. The method for obtaining the initial ball diameter of a fine grinding ball mill according to claim 3, wherein the weight ratios of the steel balls with different ball diameters are determined according to the yield ratios of the respective groups of the size fractions, and the weight of the steel balls with different ball diameters is determined according to the initial ball weight of the design of the mill.
5. A method for obtaining the ball diameter of the primary ball of a fine grinding ball mill as claimed in claim 3, wherein the rotation speed of the mill is obtained after the in-situ ball mill inspection
Figure 390040DEST_PATH_IMAGE002
Effective density of steel balls in liquid
Figure 383404DEST_PATH_IMAGE011
And the diameter R of the spherical intermediate polycondensation layer.
6. The method for obtaining the ball diameter of the primary balls of the fine grinding ball mill as claimed in claim 1, wherein the lump ore is gold ore, copper ore, iron ore or coal mine.
CN202210767938.0A 2022-07-01 2022-07-01 Method for obtaining ball diameter of primary ball of fine grinding ball mill Withdrawn CN115096766A (en)

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Application Number Priority Date Filing Date Title
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Application publication date: 20220923