CN102706784B - Method for determining grinding granularity of ores based on ore properties - Google Patents
Method for determining grinding granularity of ores based on ore properties Download PDFInfo
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- CN102706784B CN102706784B CN201210201296.4A CN201210201296A CN102706784B CN 102706784 B CN102706784 B CN 102706784B CN 201210201296 A CN201210201296 A CN 201210201296A CN 102706784 B CN102706784 B CN 102706784B
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- 238000000227 grinding Methods 0.000 title claims abstract description 36
- 238000000034 method Methods 0.000 title claims abstract description 34
- 238000012360 testing method Methods 0.000 claims abstract description 12
- 239000004575 stone Substances 0.000 claims description 20
- 238000005259 measurement Methods 0.000 claims description 15
- 239000000463 material Substances 0.000 claims description 11
- 238000002474 experimental method Methods 0.000 claims description 10
- 238000002360 preparation method Methods 0.000 claims description 10
- 238000006467 substitution reaction Methods 0.000 claims description 6
- 239000011044 quartzite Substances 0.000 claims description 3
- 238000004364 calculation method Methods 0.000 abstract description 5
- 238000004134 energy conservation Methods 0.000 abstract description 4
- 230000000694 effects Effects 0.000 abstract description 2
- 238000001514 detection method Methods 0.000 abstract 1
- 238000005265 energy consumption Methods 0.000 description 17
- 238000012545 processing Methods 0.000 description 7
- 229910052500 inorganic mineral Inorganic materials 0.000 description 6
- 239000011707 mineral Substances 0.000 description 6
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 5
- 229910052802 copper Inorganic materials 0.000 description 5
- 239000010949 copper Substances 0.000 description 5
- 238000004519 manufacturing process Methods 0.000 description 5
- 239000002245 particle Substances 0.000 description 5
- 238000013467 fragmentation Methods 0.000 description 4
- 238000006062 fragmentation reaction Methods 0.000 description 4
- 238000006243 chemical reaction Methods 0.000 description 3
- 238000013461 design Methods 0.000 description 3
- 238000003801 milling Methods 0.000 description 3
- 201000004569 Blindness Diseases 0.000 description 1
- MWBPRDONLNQCFV-UHFFFAOYSA-N Tri-allate Chemical compound CC(C)N(C(C)C)C(=O)SCC(Cl)=C(Cl)Cl MWBPRDONLNQCFV-UHFFFAOYSA-N 0.000 description 1
- OMZSGWSJDCOLKM-UHFFFAOYSA-N copper(II) sulfide Chemical compound [S-2].[Cu+2] OMZSGWSJDCOLKM-UHFFFAOYSA-N 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000010494 dissociation reaction Methods 0.000 description 1
- 230000005593 dissociations Effects 0.000 description 1
- 230000009977 dual effect Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 239000000178 monomer Substances 0.000 description 1
- 238000011084 recovery Methods 0.000 description 1
- 238000011946 reduction process Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000005303 weighing Methods 0.000 description 1
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Abstract
The invention relates to a method for determining the grinding granularity of ores based on ore properties. In order to solve the problem that appropriate grinding granularity is difficult to determine in the dressing plant designing process, the appropriate grinding granularity is calculated through a theoretical calculation formula of the grinding granularity by testing the limit stress, elastic modulus and specific surface energy of the ores, so that a theoretical basis is provided for the selection of crushing equipment and ore grinding equipment, and a condition is created for grinding energy conservation of a designed dressing plant. By the method, a small number of ore mechanical parameters are referred, the grinding granularity can be measured by the conventional detection method, and a calculation method is simple; and the method is high in practicability and has an important effect on energy-saving levels of dressing plants.
Description
Technical field
The present invention relates to a kind ofly determine the method for ore mill feed size to belong to technical field of mineral processing based on ore properties.
Background technology
In technical field of mineral processing, grinde ore is realized the monomer dissociation between valuable mineral and the gangue mineral, and the energy of consumption accounts for 40% to 60% of mineral processing total energy consumption.Energy-conservation in the grinde ore process is one of hot issue of technical field of mineral processing research always.Ore reduction and ore grinding have consisted of two links of grinde ore, but the energy of dual mode consumption is different, generally speaking, the energy that breaking ores needs will be lower than the energy that levigate ore needs, therefore the how broken principle of wearing into less as ore comminution process energy conservation.
But in the ore reduction process, along with attenuating of granularity, further broken needed energy can increase, when surpassing certain granularity boundary, the muck energy consumption is higher than power consume on the contrary, so how broken few mill also is limited, for this limit, so far go back neither one and have the computing method of theoretical foundation, therefore, in the design of muck grinding flowsheet, determine that the granularity boundary between muck and the ore grinding generally all is with reference to commercial production, because commercial production is not necessarily carried out the comminution ore deposit according to the pattern of minimum energy exactly, so the design take commercial production as foundation obviously also can not be fully according to the minimum pattern comminution ore deposit of energy consumption.One of foundation of selecting muck equipment and grinding attachment type and calculating crushing capacity and grinding capacity because the granularity boundary of muck and ore grinding is mill feed size, mill feed size is not having in the situation of abundant foundation in case determine, muck equipment on this basis and the selection of grinding attachment are calculated and are certainly existed problem, one of reason that most ore dressing plant comminution energy consumption that Here it is is high.
Ma Zhengxian has analyzed the relation between mill feed size and mill output and the power consumption in " dwindle mill feed size and reduce the crushing system energy consumption to improve mill efficiency " literary composition, show and dwindle effectively Increasing Production and Energy Saving of mill feed size, proposed simultaneously to make the simple computation formula of hour best mill feed size of crushing system total energy consumption.As evidence, provided the example that dwindles grinding machine Increasing Production and Energy Saving after the granularity, and done concise and to the point elaboration to dwindling problem and the main countermeasure that mill feed size exists.But this computing formula belongs to experimental, does not have universality.Bond has proposed to be suitable for people's abrasive particle degree of grindability material:
(μ m), but in fact this also is an experimental formula, work index W wherein
iUnder different grinding particle sizes, even the same ore, neither constant, this brings difficulty to calculating.For this formula, Li Wen has delivered the paper of " calculate reasonable mill feed size and should not directly use simple list moral formula ", point out in the paper, someone proposes directly to calculate with the crushing work exponential sum grinding work index of list moral the reasonable feed preparation unit size of grinding machine, the simple list moral of this direct use formula, no matter to ore grinding and fragmentation, all untenable on mathematics.
Magdalinovic, N.M. points out Bond's power dissipation index W in " the required power consumption calculation of bowl mill in the grinding process " literary composition
iAs an index weighing ore grindability, it is not invariable, but changes along with the variation of ore milling product fineness.Therefore, when given ore milling product fineness, work index the unknown, use the energy consumption formula to calculate the grinding process energy consumption and mistake will occur in practice.
Therefore, up to now, can calculate power consume, the formula that calculates mill feed size by power consume remains Bond's work index formula, but this formula is experimental formula, and the mensuration of work index is subjected to the impact of grinding particle size, it or not a constant, result of calculation and actual very large error arranged, so, the method that neither one can be determined suitable mill feed size gone back.Also neither one directly calculates the method for best mill feed size by the ore mechanical property.
Summary of the invention
Purpose of the present invention is exactly in the Designing Ore-Dressing Plants process, be difficult to determine according to ore properties the problem of suitable mill feed size, a kind of method of determining the ore mill feed size based on ore properties is provided, detect the mechanical property of ore by test, determine to provide a kind of feasible method for mill feed size.
The present invention is achieved through the following technical solutions:
(1) mensuration of ore mechanical property
Get 20 in representational ore, require 10 lump ore stones are wherein cut into standard specimen according to material mechanics experiment, module of elasticity and ultimate stress at each lump ore stone test specimen of material experiment aircraft measurements, calculate the arithmetic mean of 10 measurement results, as module of elasticity E and the ultimate stress σ of this ore.10 other lump ore stones are processed into the test specimen that is suitable for splitting works or contact angle method mensuration surface energy, determine respectively the specific surface energy of 10 lump ore stones by break works or contact angle method, calculate the arithmetic mean of 10 measurement results as the specific surface energy γ of this ore.
(2) the ore mill feed size determines
With ore module of elasticity E, ultimate stress σ, specific surface energy γ and disintegrating machine feed preparation unit size d
fSubstitution ore mill feed size computing formula
In determine mill feed size.
Know-why of the present invention:
In the ore reduction stage, the energy that disintegrating machine provides at first is that ore is deformed, but breaks when being deformed into the limit of ore.Because the generation of breaking, unexpected change in location occurs between ore and the ore, between ore and the disintegrating machine force application part, disintegrating machine disappears to the application of force of ore, the distortion of broken nugget recovers, externally release energy with forms such as sound, vibrations, heat releases, portion of energy is converted into newborn surface energy, and this has just finished primary fragmentation.Along with the disintegrating machine force application part further compresses ore, Distance Shortened between the broken ore bears pressure again, and the ore that bears pressure begins again distortion, until broken, realize broken for the second time.The one-period of crusher in crushing component movement, fragmentation repeatedly occurs in ore, realizes that finally the granularity of ore attenuates, and meets the requirements of reduction ratio.
According to the relation of ore stress and strain, be the ore of V for volume, the broken energy that needs to consume is for the first time:
In the formula: σ-stress;
E-module of elasticity;
The index of m-near 1.
If for the first time the application of force just with volume be the ore reduction of V to the granularity that requires, comminution energy conssumption is minimum.If for the first time the application of force can only produce an ore that requires granularity, realize that volume is the granularity that the nugget of V all is crushed to requirement, then need the application of force i time, i is reduction ratio, the comminution energy conssumption that then needs will be maximum.Hence one can see that, and the maximum energy consumption that ore reduction needs is:
Because the weight of particle is:
, then the maximum energy consumption of unit weight ore reduction needs is:
Order
, then
In the ore grinding stage, the energy of grinding machine passes to ore by milling medium, at first make the ore distortion, occur broken when distortion reaches the limit of, the recovery that deforms of ore after the fragmentation, the Conversion of Energy that stores in the ore is energy of vibration, heat energy, acoustic energy and is stored in energy in the permanent strain, and Partial Conversion is the surface energy of fresh surface simultaneously, and this two parts energy has consisted of the energy consumption of ore grinding.
The deformation energy that stores in the ore after broken is directly proportional with the volume of ore.
In the formula: σ-stress;
E-module of elasticity;
The index of m-near 1.
The energy Partial Conversion of ore grinding input is deformation energy, namely
In the formula: K
vThe spherical coefficient of-volume.
The surface energy of ore is directly proportional with surface area after broken.
In the formula: K
AThe spherical coefficient of-area.
If power consume is directly proportional with the geometrical mean of ore deformation energy and surface energy, then
Because the weight of particle is:
, then the unit weight power consume is:
Order
, then
Above-mentioned formula is at d
f=d
pThe time, the boundary condition of W=0 is false, and sets up in order to make boundary condition, adds a coefficient C in formula, so that formula becomes:
Work as d
f=d
pThe time, W=0, boundary condition can draw C=-k thus
2, then
In the formula:
When muck equipment and feed preparation unit size certain, the ore discharge granularity one of grinding machine regularly, the ore discharge of spallar be grinding machine to the ore deposit, the energy consumption of muck and ore grinding be muck energy consumption and power consume with.But, when the grinding machine feed preparation unit size changes, the k in (2) formula
2Not constant, because wherein comprised the mill feed size that changes
So,, (2) formula should be changed into
According to formula (1) and (3), make the ore discharge granularity of muck equal the feed preparation unit size of ore grinding, and use d
0Expression, the total energy consumption that can get muck and ore grinding is
In the formula: W
BgBe muck and ore grinding total energy consumption, kW.h/t; d
0Be mill feed size (size of mesh that 80% ore passes through), mm; d
fBe spallar feed preparation unit size (size of mesh that 80% ore passes through); d
pBe grinding machine ore discharge granularity (size of mesh that 80% ore passes through).
Ask partial derivative to get to (4) formula:
（5）
Order
, can get
Will
,
,
, m=1, K
A=π, K
V=π/6 substitutions (6) can get:
(7) for calculate the theoretical formula of mill feed size by the ore mechanical property.
The present invention has the following advantages and good effect:
The method of definite ore mill feed size of the present invention is applicable in the Designing Ore-Dressing Plants, calculates by theory and obtains suitable mill feed size, as the foundation of disintegrating machine and ore mill type selecting and calculating, has overcome the blindness that present Designing Ore-Dressing Plants mill feed size is determined.The ore dressing plant of the method design by this invention, the comminution energy consumption is minimum in theory, considers the performance of disintegrating machine and ore mill again, and mill feed size is carried out certain adjustment, can realize lowest energy consumption comminution ore deposit, realizes that the ore dressing plant is energy-conservation.
Description of drawings
Fig. 1 is the method flow diagram of definite ore mill feed size of the present invention.
Embodiment
Embodiment 1:
Processing ore is the quartzite mixed copper ore.
(1) mensuration of ore mechanical property
Get 20 of representational quartzite mixed copper ores, require 10 lump ore stones are wherein cut into standard specimen according to material mechanics experiment, module of elasticity and ultimate stress at each lump ore stone test specimen of material experiment aircraft measurements, calculate the arithmetic mean of 10 measurement results, module of elasticity E is 897600kg/cm
2, ultimate stress σ is 680kg/cm
210 other lump ore stones are processed into the test specimen that is fit to splitting works mensuration specific surface energy, and the method that adopts the splitting works to measure specific surface energy determines respectively the specific surface energy of 10 lump ore stones, and the arithmetic mean γ that calculates 10 measurement results is 2.577 kg/cm;
(2) the ore mill feed size determines
Be 897600kg/cm with ore module of elasticity E
2, ultimate stress σ is 714 kg/cm
2, specific surface energy γ is 2.577 kg/cm and disintegrating machine feed preparation unit size d
fBe 4cm substitution ore mill feed size computing formula
In determine mill feed size, calculating the gained mill feed size is 1.06cm, i.e. 10.6mm.
Embodiment 2:
Processing ore is the ls mixed copper ore.
(1) mensuration of ore mechanical property
Get 20 of representational ls mixed copper ores, require 10 lump ore stones are wherein cut into standard specimen according to material mechanics experiment, module of elasticity and ultimate stress at each lump ore stone test specimen of material experiment aircraft measurements, calculate the arithmetic mean of 10 measurement results, module of elasticity E is 816000kg/cm
2, ultimate stress σ is 510kg/cm
210 other lump ore stones are processed into the test specimen that accommodates contact angle method mensuration specific surface energy, and the method that adopts contact angle method to measure specific surface energy determines respectively the specific surface energy of 10 lump ore stones, and the arithmetic mean γ that calculates 10 measurement results is 2.125kg/cm;
(2) the ore mill feed size determines
Be 816000kg/cm with ore module of elasticity E
2, ultimate stress σ is 510 kg/cm
2, specific surface energy γ is 2.125 kg/cm and disintegrating machine feed preparation unit size d
fBe 4cm substitution ore mill feed size computing formula
In determine mill feed size, calculating the gained mill feed size is 0.8cm, i.e. 8mm.
Embodiment 3:
Processing ore is the hypogenic copper sulfide ore deposit.
(1) mensuration of ore mechanical property
Get 20 of representational grouan mixed copper ores, require 10 lump ore stones are wherein cut into standard specimen according to material mechanics experiment, module of elasticity and ultimate stress at each lump ore stone test specimen of material experiment aircraft measurements, calculate the arithmetic mean of 10 measurement results, module of elasticity E is 1224000kg/cm
2, ultimate stress σ is 918kg/cm
210 other lump ore stones are processed into the test specimen that accommodates contact angle method mensuration specific surface energy, and the method that adopts contact angle method to measure specific surface energy determines respectively the specific surface energy of 10 lump ore stones, and the arithmetic mean γ that calculates 10 measurement results is 4.371kg/cm;
(2) the ore mill feed size determines
Be 1224000kg/cm with ore module of elasticity E
2, ultimate stress σ is 918 kg/cm
2, specific surface energy γ is 4.371 kg/cm and disintegrating machine feed preparation unit size d
fBe 4cm substitution ore mill feed size computing formula
In determine mill feed size, calculating the gained mill feed size is 0.84cm, i.e. 8.4mm.
Claims (2)
1. determine to it is characterized in that the method for ore mill feed size carrying out according to the following steps based on ore properties for one kind:
(1) mensuration of ore mechanical property: get 20 in representational ore, require 10 lump ore stones are wherein cut into standard specimen according to material mechanics experiment, module of elasticity and ultimate stress at each lump ore stone test specimen of material experiment aircraft measurements, calculate the arithmetic mean of 10 measurement results, as module of elasticity E and the ultimate stress σ of this ore; 10 other lump ore stones are processed into the test specimen that is suitable for measuring specific surface energy, adopt the method for measuring the Specific Surface Area energy to determine respectively the specific surface energy of 10 lump ore stones, calculate the arithmetic mean of 10 measurement results as the specific surface energy γ of this ore;
(2) determining of ore mill feed size: with ore module of elasticity E.kg/cm
2, ultimate stress σ .kg/cm
2, specific surface energy γ. kg/cm and disintegrating machine feed preparation unit size d
f.cm substitution ore mill feed size computing formula
In determine mill feed size,
d 0 Mill feed size for ore.
2. according to claim 1ly determine the method for ore mill feed size based on ore properties, it is characterized in that described ore is quartzite, ls, the grouan of the broken and ore grinding of ore dressing plant needs.
3. according to claim 1ly determine the method for ore mill feed size based on ore properties, it is characterized in that described mensuration Specific Surface Area can method be splitting works or contact angle method.
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| CN109046199A (en) * | 2018-10-18 | 2018-12-21 | 攀钢集团矿业有限公司 | A kind of massive minerals consersion unit |
| CN109482288B (en) * | 2018-11-28 | 2020-11-20 | 中建材（合肥）粉体科技装备有限公司 | Method for measuring particle size distribution of fine powder in material bed extrusion crushing material cake |
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| CN100469451C (en) * | 2007-03-30 | 2009-03-18 | 昆明理工大学 | Accurate method for improving production and saving energy by combining ball lLoad and addition in mill and forward leading of energy consumption |
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