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CN105466960A - A method of quantificationally calculating a flotation rate constant - Google Patents

A method of quantificationally calculating a flotation rate constant Download PDF

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Publication number
CN105466960A
CN105466960A CN201510799070.2A CN201510799070A CN105466960A CN 105466960 A CN105466960 A CN 105466960A CN 201510799070 A CN201510799070 A CN 201510799070A CN 105466960 A CN105466960 A CN 105466960A
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Prior art keywords
particle
mineral
rate constant
flotation
flotation rate
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Inventor
舒宗宪
袁明华
周全雄
普仓凤
吕振江
何可可
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YUXI CHENXING MINING METALLURGY TECHNOLOGY DEVELOPMENT Co Ltd
YUXI MINING CO Ltd
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YUXI CHENXING MINING METALLURGY TECHNOLOGY DEVELOPMENT Co Ltd
YUXI MINING CO Ltd
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Priority to CN201510799070.2A priority Critical patent/CN105466960A/en
Publication of CN105466960A publication Critical patent/CN105466960A/en
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • G01N23/22Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by measuring secondary emission from the material
    • G01N23/2206Combination of two or more measurements, at least one measurement being that of secondary emission, e.g. combination of secondary electron [SE] measurement and back-scattered electron [BSE] measurement
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • G01N23/20Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by using diffraction of the radiation by the materials, e.g. for investigating crystal structure; by using scattering of the radiation by the materials, e.g. for investigating non-crystalline materials; by using reflection of the radiation by the materials
    • G01N23/203Measuring back scattering

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  • Chemical & Material Sciences (AREA)
  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
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  • Crystallography & Structural Chemistry (AREA)
  • Analysing Materials By The Use Of Radiation (AREA)

Abstract

A method of quantificationally calculating a flotation rate constant is disclosed. The method includes processing and smashing raw ore into particles the size of which is smaller than 3 mm, levigating by an ore mill used in laboratories, sieving to obtain particles with different sizes, separately preparing sample sheets, separately testing the particles on the sample sheet with a scanning electron microscope and an X-ray energy spectrometer to acquire a backscattered electron image and X-ray energy spectrums in different gray regions of each particle, differentiating different minerals according to the different grey regions of the backscattered electron images, comparing the X-ray energy spectrums in the gray regions with X-ray energy spectrums of standard minerals so as to determine specific minerals and mineral composition of each particle, calculating a flotation rate constant ki of each particle, and subjecting all the particles to statistical calculation to obtain the total flotation rate constant K. By the method, influences of mineral composition, dissociation degrees, flotation agents, particles sizes, and the like on a flotation process can be quantificationally examined. The method is of great guiding significance for optimizing mineral processing processes.

Description

A kind of method of quantitative calculating flotation rate constant
Technical field
The present invention relates to ore floatation, particularly relate to the method for particle flotation rate constant in a kind of quantitative calculating ore.
Background technology
Floatation process is a quite complicated physical and chemical process, floatation process rule over time under the various influence factor of flotation kinetics.Research floatation kinetics for optimization floatation process parameter, simulation with control floatation equipment, improve floatation process, to improve flotation efficiency etc. all significant.Floatation kinetics model is usually used in analyzing batch flotation experimental results, evaluates various parameter, and existing many workers propose multiple model to simulate the test figure of mineral floating, and First order dynamic model is most widely used.The reflection of existing floatation kinetics model be the summation of all particle flotation speed in ore, the model of reflection individual particle flotation rate is not yet proposed.
Summary of the invention
The present invention is in order to solve the above-mentioned problems in the prior art, and object is a kind of method providing quantitative calculating individual particle flotation rate constant.
The present invention is achieved through the following technical solutions: a kind of method of quantitative calculating flotation rate constant, comprises the following steps:
1) test: sample ore ore mill is levigate to certain fineness, be sieved into size fractionated and make print respectively; With scanning electron microscope and X-ray energy spectrometer, the particle on print is tested respectively, obtain the backscattered electron image of each particle and the X-ray energy spectrum figure of different gray areas;
2) data processing: the different gray areas according to particle backscattered electron image distinguish different minerals, and by the X-ray energy spectrum figure in this region compared with the X-ray energy spectrum figure of standard mineral, thus determine the mineral composition of concrete mineral and particle; The element composition of mineral is by mineral chemistry formula or adopt suitable analytical approach to determine;
3) individual particle flotation rate constant calculates: the flotation rate constant calculating each particle, and described particle adopts i to represent, the flotation rate constant of described particle i is determined by following formula:
k i=M iS iC i
In formula: k i-flotation rate constant, M i-medicament the factor, S i-size distribution factor, C i-modifying factor; Described particle adopts i to represent, the medicament factor M of described particle i idetermined by following formula:
M i = Σ j = 1 s L i j L i M i j
In formula: M ijthe pharmacy effect factor of the jth kind mineral of-formation particle i, L ithe cross sectional boundary length of-particle i, μm; L ijthe exposure cross sectional boundary length of the jth kind mineral of-formation particle i, μm; Described mineral adopt j to represent, the acting factor of mineral j and t kind medicament and mineralogical property and medicament kind used relevant with consumption, M ijdetermined by following formula:
M i j = Σ k = 1 t q k R j k
Described particle adopts i to represent, the recovery of described particle i is determined by following formula:
R i=1-exp(-k it)
In formula: k ithe flotation rate of-particle i is normal, t-flotation time, min;
4) total flotation rate constant calculates: carry out statistical computation to whole particle, obtain total flotation rate constant.
k = - ln [ Σ i = 1 q W i W exp ( - k i t ) ] / t
In formula: W ithe quality of-particle i; The gross mass of W-whole particle; k ithe flotation rate of-particle i is normal; T-flotation time, min; The character such as quality, mineral composition, constituent content of described particle i calculates according to the area of the mineral of composition particle i and proportion; Total flotation rate constant can be obtained by batch flotation test, thus revises computation process and result.
Beneficial effect of the present invention is: the method for quantitative calculating flotation rate constant of the present invention compared with prior art, the present invention is based on backscattered electron image analysis, standard mineral X-ray energy spectrum chart database, mineral element composition database, fast, ore particles process mineralogy character is quantitatively obtained, utilize mineral and pharmacy effect factor data storehouse, the flotation rate constant of count particles, and then statistical computation is carried out to whole particle, obtain total flotation rate constant.The present invention quantitatively can examine or check the impact on floatation process such as mineral composition and dissociation degree, floating agent, grain graininess, has important guiding effect to ore-dressing technique optimization.
Accompanying drawing explanation
Fig. 1. be the ore particles figure forming sample ore;
Fig. 2. be ore particles backscattered electron image figure;
Fig. 3. be the X-ray energy spectrum figure of typical mineral chalcopyrite.
Embodiment
Below in conjunction with accompanying drawing, the invention will be further described:
A method for quantitative calculating flotation rate constant, comprises the following steps:
1) test: sample ore ore mill is levigate to certain fineness, be sieved into size fractionated and make print respectively, with scanning electron microscope and X-ray energy spectrometer, the particle on print is tested respectively, obtain the backscattered electron image of each particle and the X-ray energy spectrum figure of different gray areas;
2) data processing: the different gray areas according to particle backscattered electron image distinguish different minerals, and by the X-ray energy spectrum figure in this region compared with the X-ray energy spectrum figure of standard mineral, thus determine the mineral composition of concrete mineral and particle, the element composition of mineral is by mineral chemistry formula or adopt suitable analytical approach to determine;
3) individual particle flotation rate constant calculates: the flotation rate constant calculating each particle: particle of the present invention adopts i to represent, the flotation rate constant of described particle i is determined by following formula:
k i=M iS iC i(1)
In formula (1): k i-flotation rate constant (dimensionless); M i-medicament the factor (dimensionless); S i-size distribution factor (dimensionless); C i-modifying factor (dimensionless).
Described particle i is made up of the mineral that s kind is different, the medicament factor M in formula (1) idetermined by following formula:
M i = Σ j = 1 s L i j L i M i j - - - ( 2 )
In formula (2): M ijthe pharmacy effect factor (dimensionless) of the jth kind mineral of-formation particle i; L ithe cross sectional boundary length of-particle i, μm; L ijthe exposure cross sectional boundary length of the jth kind mineral of-formation particle i, μm.
Described mineral adopt j to represent, the acting factor of described mineral j and t kind medicament and mineralogical property and medicament kind used relevant with consumption, the M in formula (2) ijdetermined by following formula:
M i j = Σ k = 1 t q k R j k - - - ( 3 )
In formula (3): R jkthe acting factor (dimensionless) of-mineral j and medicament k; q k-dosing Dynamic gene (dimensionless).
The recovery of particle i of the present invention is determined by following formula:
R i=1-exp(-k it)(4)
In formula (4): k ithe flotation rate of-particle i is normal; T-flotation time, min.
Total flotation rate constant is determined by following formula:
k = - ln [ Σ i = 1 q W i W exp ( - k i t ) ] / t - - - ( 5 )
In formula (5): W ithe quality of-particle i; The gross mass of W-whole particle; k ithe flotation rate of-particle i is normal; T-flotation time, min.
Shown in Fig. 1 to Fig. 3: sample ore is made up of a large amount of ore particles; The different gray scales of this ore particles backscatter images show this particle and are made up of 4 kinds of different mineral, mineral 1 and mineral 4 adhesion, and mineral 2 and mineral 3 are wrapped in mineral 1; X-ray energy spectrum according to mineral can determine concrete mineral.Between the area of count particles and each mineral, cross sectional boundary length, mineral, adhesion connects boundary's length, exposes boundary length etc., quantitatively can obtain the mineral composition of ore, size-grade distribution, embedding cloth relation, the technological minerals mathematic(al) parameters such as feature of dissociating.
Embodiment:
Gather representational ore sample, processing is crushed to-3mm, levigate to certain fineness with use for laboratory ore grinding machine, is sieved into size fractionated and makes print respectively; With scanning electron microscope and X-ray energy spectrometer, the particle on print is tested respectively, obtain the backscattered electron image of each particle and the X-ray energy spectrum figure of different gray areas.Can measure by technique for applying mineralogy parameter automatic measuring system, many research institutions all to carry out in this field and work, and typically have QEMSCAN (QuantitativeEvaluationofMineralsbyScanningElectronicMicr oscopy), MLA (MineralLiberationAnalyser) etc.
Different gray areas according to particle backscattered electron image distinguish different minerals, and by the X-ray energy spectrum figure in this region compared with the X-ray energy spectrum figure of standard mineral, thus determine the mineral composition of concrete mineral and particle.As shown in Figure 2, in figure, the different gray scales of ore particles backscatter images show this particle and are made up of 4 kinds of different mineral, and mineral 1 and mineral 4 adhesion, mineral 2 and mineral 3 are wrapped in mineral 1.Spectrogram compares and Minerals identification is completed automatically by computer system.Between the area of count particles and each mineral, cross sectional boundary length, mineral, adhesion connects boundary's length, exposes boundary length etc., quantitatively can obtain the mineral composition of ore, size-grade distribution, embedding cloth relation, the technological minerals mathematic(al) parameters such as feature of dissociating.
The element composition of mineral is by mineral chemistry formula or adopt suitable analytical approach to determine.According to mineral element composition, the distribution of each element in mineral (occurrence status) can be calculated.
Calculate flotation rate constant and mineral composition, element composition and the grade of each particle according to the method described above.The flotation rate constant of particle i is determined by formula (1), pharmacy effect factor reflection particle formation, beneficiation reagent and slurry fractions are on the impact of flotation rate, granularity modifying factor reflection grain graininess is on the impact of flotation rate, and modifying factor reflection affects other factors of flotation rate.The pharmacy effect factor of particle i is relevant with the mineral composition of this particle and architectural feature, is determined, parameter L by formula (2) iand L ijreflection mineral disaggregation characteristic and grain pattern feature are on the impact of flotation rate.The acting factor of the medicament of mineral j and mineralogical property and medicament kind used relevant with consumption, determined by formula (3), the acting factor of mineral and medicament reflects the impact of medicament on mineral floating speed, span 0 ~ 1, numerical value is larger, and mineral flotability is better; The acting factor database setting up perfect mineral and medicament contributes to the correct valuation of this parameter; Dosing Dynamic gene reflects the impact of dosing on mineral floating speed.The recovery of particle i is determined by formula (4), and total flotation rate constant is determined by formula (5).Total flotation rate constant can be obtained by batch flotation test, thus revises computation process and result.

Claims (2)

1. quantitatively calculate a method for flotation rate constant, it is characterized in that, comprise the following steps:
1) test: tcrude ore processing is crushed to-3mm, adopt use for laboratory ore grinding machine levigate, be sieved into size fractionated and make print respectively; With scanning electron microscope and X-ray energy spectrometer, the particle on print is tested respectively, obtain the backscattered electron image of each particle and the X-ray energy spectrum figure of different gray areas;
2) data processing: the different gray areas according to particle backscattered electron image distinguish different minerals, and by the X-ray energy spectrum figure in this region compared with the X-ray energy spectrum figure of standard mineral, thus determine the mineral composition of concrete mineral and particle;
3) individual particle flotation rate constant calculates: the flotation rate constant calculating each particle, and described particle adopts i to represent, the flotation rate constant of particle i is determined by following formula:
k i=M iS iC i
In formula: k i-flotation rate constant, M i-medicament the factor, S i-size distribution factor, C i-modifying factor;
Wherein, described particle i is made up of the mineral that s kind is different, medicament factor M idetermined by following formula:
M i = Σ j = 1 s L i j L i M i j
In formula: M ijthe pharmacy effect factor of the jth kind mineral of-formation particle i, L ithe cross sectional boundary length of-particle i, μm; L ijthe exposure cross sectional boundary length of the jth kind mineral of-formation particle i, μm; Wherein, the acting factor of mineral j and t kind medicament and mineralogical property and medicament kind used relevant with consumption, M ijdetermined by following formula:
M i j = Σ k = 1 t q k R j k
In formula: R jkthe acting factor of-mineral j and medicament k, q k-dosing Dynamic gene.
2. the method for a kind of quantitative calculating flotation rate constant according to claim 1, is characterized in that: step 3) described in the recovery of particle i determined by following formula:
R i=1-exp(-k it)
In formula: k ithe flotation rate of-particle i is normal, t-flotation time, min; Statistical computation is carried out to whole particle, obtains total flotation rate constant, determined by following formula:
k = - ln [ Σ i = 1 q W i W exp ( - k i t ) ] / t
In formula: W ithe quality of-particle i; The gross mass of W-whole particle; k ithe flotation rate of-particle i is normal; T-flotation time, min.
CN201510799070.2A 2015-11-18 2015-11-18 A method of quantificationally calculating a flotation rate constant Pending CN105466960A (en)

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Publication number Priority date Publication date Assignee Title
US9164048B2 (en) * 2009-07-20 2015-10-20 Commissariat A L'energie Atomique Et Aux Energies Alternatives Method and device for identifying a material of an object
US20140126692A1 (en) * 2012-11-07 2014-05-08 Carlos Camara Electron excited x-ray fluorescence device
CN104174505A (en) * 2014-08-07 2014-12-03 玉溪矿业有限公司 Method for quantificationally predicting theoretical ore dressing recovery rate and concentrate grade of ore floatation

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