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By Mohammad Mainul Hoque, Linhan Ge, Ai Wang, Geoffrey Evans, Subhasish Mitra

"Dispersed phase interactions involving bubbles and particles in the turbulent environment play a significant role in the flotation process. The conventional collision models only account for the deterministic rather than the stochastic behavior of turbulenct flow. What the bubble-particle collisions would be like remains an open problem due to the complex nature of turbulent flow. To address this research question, the present study aims to quantify the bubble-particle collision efficiency incorporating turbulence using the computational method. Multiple solid particles were released to interact with a single stationary rigid bubble (non-deformable interface). Effect of particles Stokes number, turbulent intensity (TI) and integral length scale on the bubble-particle collision efficiency (Pc) was examined. Large Eddy Simulation method (LES) was used to compute the continuous phase. Fluctuating velocity required at the inlet boundary condition was derived from Gaussian energy spectrum to generate the upstream turbulence. Discrete Phase Model (DPM) is used to simulate particle trajectory. The characteristics of turbulent flow were analyzed through Energy spectrum and energy dissipation rate. The critical initial releasing radius of the annulus, where Pc equals zero, reaches up to 1.5(Rb+Rp) under high turbulent intensity (TI) 20.48% compared to 0.23(Rb+Rp) calculated from the traditional Pc model. Pc decreases as the distance of initial releasing annulus between bubble centre increases. Pc increases as particle Stokes number increase up to 0.66. The collision efficiency for particles of St less than 0.38 is higher under TI 11.78% compared to TI 4%.INTRODUCTION To increase mineral recovery, interactions between bubbles and particles are essential. All flotation devices achieve it through introducing some level of turbulence into the system by increasing specific energy dissipation rate. Figure 1 shows three different flotation equipment, traditional floatation cell, Concorde cell and cyclonic-static micro-bubble flotation column (FCSMC), with different turbulence generation mechanisms – impeller, down-flow liquid jet and pump recirculation, respectively."

Jan 1, 2018

By Graeme Jameson

"In current flotation circuits it is customary to grind the whole of the mill feed to an initial size, which is determined by the liberation characteristics of the ore, and the ability of the flotation machines to float the fully liberated particles. Usually, the product of the primary mill will be ground further in a ball mill, to improve the liberation of the values and hence the product grade, before passing to rougher flotation cells. The final grind size is ore-dependent, and is a balance of factors including the relation between surface liberation and grind size, the grain size of the valuable particles within the host rock, and the feed grade. The P80 for the feed to flotation may be as high as 300 µm for free-milling copper ores, and as low as 53 µm for finely disseminated complex ores. The grinding of the feed ore requires considerable input of energy. The rate of replacement of wear components such as mill liners and media, is proportional to the energy input. The costs of these two factors - energy and wear - are usually comparable and together they form the major part of the running costs of a concentrator, and indeed, of the whole mining operation. The energy required increases as the final grind size decreases. This talk will focus on the reduction of milling costs that could be achieved, using a fluidized bed flotation technology that can give high recoveries at coarse particle sizes. A number of different circuit designs will be presented, using the new technology. Calculations show that reductions in the running costs of a mine and associated concentrator of the order of ten to twenty percent could be achieved."

Jan 1, 2014

By F. Waanders, Campbell. Q.

This project was specifically aimed at using increased acceleration separation, as a method to optimize the recovery of gold in an ore body mainly consisting of hematite where the specific gravity of gold is much higher in comparison to the carrying material, making it possible to separate gold from other materials like silica, base metals and their oxides, usually associated with gravitation-gold-recovery-processes. The ore body investigated in this project originated from a gold reef containing a large portion of gold locked inside the gold pyrite complexes, which was mined and treated in a conventional way. After gold extraction, the material was pumped to a tailings dump and the gold extraction of this dump was investigated. In order to assemble a concentration plant setup, the head grade and size distribution of the dump and bulk sample were determined accurately. Chemical analysis and mineralogical examination were done on a representative sample of the bulk sample, to determine the chemical composition of the material. The results obtained thereof were evaluated and a pilot plant was configured. A bulk sample was processed in the pilot plant and the results were evaluated. The results at optimum acceleration forces applied, resulted in a recovery of 5% of the mass, with a gold concentrate of 90 g/t Au, which represented 58% recovery of the gold. The hematite with high specific gravity as main phase positively influenced the high acceleration separation process. It proved that if the specific gravity of particles in a suspension were increased, high acceleration separation could be applied effectively to separate much smaller particle sizes.

Jan 1, 2014

By G. Unland

The sizing of crushers depends on the expected crushing forces. However, the crushing forces develop differently with every individual rock while it is compressed by the working surfaces of the crusher. For sizing, this compression process has to be characterized by the maximum crushing force. The maximum crushing force depends on the strength, shape and size of the rock, the amount and velocity of the imposed displacement of the working surfaces of the crusher on the rock and the conditions of the contact surfaces. From experience it is known that the strength of the material and, therefore, the crushing forces depend on the size of the specimen. This dependence is the so called size effect. The determination is based on compression tests. The force development is recorded during the compression of the specimen and for every individual test the maximum force is determined. The occurring maximum crushing forces of several rocks with the same diameter comminuted under the same conditions can be assessed by a mean value and a variance. The relationship between the mean values of the cross section related maximum crushing forces FAmax and the corresponding sizes d of the specimens can then be described by mathematical functions. They are derived from different approaches (phenomenological, statistical and statistical-physical methods). The phenomenological methods are subjective and yield functions depending on the assumptions of a person, whereas the statistical and statistical-physical methods are based on an evaluated function and the optimization of the parameters.

Jan 1, 2014

By B. Gorain, O. A. Bascur

"The advent of digital revolution has now enabled us with numerous tools that could be leveraged to transform our operational data into actionable insights. Key opportunities with digitization include better visualization, transparency, integrated planning and execution for value-chain optimization, that results in smarter production, intelligent response to changes in ore, process and equipment conditions, reduce energy and waste along with prevention of asset breakdown, safety and environmental issues. It is important to realize that these digital tools have limited value, from a metallurgical operational context, if we cannot bring-in the appropriate domain expertise along with getting the basics right. The focus within Barrick is to ensure that there is adequate depth of different disciplines built into our platforms along with breadth to integrate other disciplines such as geology and mining for an effective Mine-to-Mill integration. A gold recovery improvement strategy based on optimal Gaudin size distribution, leaching performance monitoring and guidance via feed grade maps is discussed. Simultaneous identification of process and equipment constraints enable finding the best overall conditions for Gold recovery. This paper discusses the methodology, findings, and challenges in the ongoing journey of implementing a Metallurgy Analytics platform that evolves from being retrospectively descriptive to anticipatively prescriptive.INTRODUCTION The last few decades have seen some remarkable advancement in information technology, but recently various digital technologies have resulted in several synergies to deliver innovation in diverse applications. The mining industry has been relatively slow in adopting these technologies compared to the other industries, but this scenario is changing fast. Mining companies globally are going through a series of challenges such as declining ore grades with complex metallurgy, increasing depth of ore bodies, high capital and operating costs, lower productivity, shortage of technical resources, significant pressure from stakeholders to deliver, along with growing environmental and corporate social responsibility issues. Improvement in profitability would need significant improvements in operational performance."

Jan 1, 2018

By Leon Lorenzen, Victor E. Ross, Anton W. Kleingeld

Key to successful innovation, whether at organization, industry or national level, is the alignment and utilization of resources in the most appropriate and efficient way. Innovation needs to be directed strategically, and it needs to be auditable in a systematic and integrated fashion. In the light of these considerations, this paper describes the construction and use of a topographical map of the innovation landscape. The purpose of the map is to provide a holistic view of the key factors that enable innovation (the so-called ’landmarks’), how well they are aligned to support a particular type/nature of innovation in the organization, and to identify possible gaps. The significance (importance) and height (performance) of the landmarks in supporting and enabling innovation within the organization is determined by means of a selfappraisal audit. The topography of the landscape derived thus is subsequently interpreted in terms of the organization’s particular innovation strategy and environmental context. The application of the Innovation Landscape Methodology is illustrated in a number of organizations within the Mining and Minerals Industry of South Africa. Important observations and conclusions regarding the strategic alignment of enabler strengths within these organizations are made.

Jan 1, 2003

By de Vaux. D.

Synthetic water with a calcium concentration of 80 ppm and 500 ppm was prepared and the flotation results obtained compared to a simple electrolyte in order to determine the effect water quality has on pentlandite and pyroxene surface alteration and, ultimately, floatability. During the study, the possible effect of interactions between the minerals investigated and Ca2+ ions in the presence of sodium isobutyl xanthate was studied at pH 6 and pH 9 by means of zeta potential determinations, microflotation tests and ToF-SIMS analysis. The results obtained have demonstrated that water quality does play a significant role in flotation recovery at the experimental conditions used.

Jan 1, 2003

By Arkady Senchenko, Yuri G. Seredkin, Alexander Aksenov

"This paper describes the development of efficient technology for the treatment of complex ores containing gold and copper as major valuable components, where silver is present as well. Copper is mostly represented by oxidized minerals in these ores; however, copper sulfides are also present. Gold is present in its free form and in associations with oxidized and sulfide minerals; silver usually accompanies gold. Complex composition of the ore requires complex solutions for their treatment. The results of searching for the techniques to recover valuable components are described in this paper. Gravity methods allow for free gold recovery, flotation methods allow one to recover major part of copper and precious metals in associations; and in the result of leaching process additional amount of copper, gold and silver is reported to solution. Combining all these methods help achieving high levels of valuable components recovery. When implementing a combined technological flowsheet about 80 % of copper goes to concentrates from gravity and flotation of sulfide and oxidized copper minerals; and sulfuric acid leaching allows increasing total copper recovery up to 90 % and higher. Major part of precious metals (up to 90 % of gold and 80 % of silver) is recovered to these concentrates, and after hydrometallurgical treatment it is possible to increase gold recovery up to 96 %, silver recovery - up to 90 %. The suggested technology helps solving the problem of precious metals recovery from complex gold-copper ores, and allows treatment of the ore with different proportion of sulfide and oxidized minerals, and at different valuable components grade."

Jan 1, 2014

By J. Seo, W. Kim, I. Bae

"Microcrystalline silica impurities such as quartz and opal-CT commonly associated in bentonite should be controlled and removed as far as possible when bentonite is used as biocompatible raw material because they show sufficient evidence of carcinogenicity. Since opal-CT contained in bentonite in trace amounts cannot be well separated by conventional sedimentation method, in this work, the ultrasound-assisted removal of the impurity was attempted. Irradiating ultrasound into bentonite-water suspension promoted the production of fine montmorillonite particles in the suspension and the production markedly increased when montmorillonite was activated by Na2CO3. Subsequent centrifugation of the suspension made it possible to recover pure montmorillonite particles as an overflow product. Only 16.2 mass % of total solids was recovered as an overflow from the non-activated suspension, whereas 63.5 mass % was recovered from the activated suspension at centrifuging speed of 10000 rpm. Increasing sonicating time enhanced the yield of overflow, however, excessive sonication up to 10 min hindered the purification of montmorillonite. It was observed that the peak reflection of (101) plane of opal-CT in overflow increased as sonicating time increased during prolonged sonication. INTRODUCTION Bentonite consisting predominantly of mineral montmorillonite is clay-rich soft rock generated frequently from the alteration of volcanic ash. Depending on the nature of its genesis, bentonite contains a variety of accessory minerals, which may include mainly quartz, feldspar, opal cristobalite/tridymite (opal-CT), calcite, illite and mica. The presence of these accessory minerals can impact the industrial value of the deposit, reducing its commercial value depending on its applications. Therefore, bentonite is often purified by removing these impurity minerals for special applications where specific properties and characteristics are required (Murray, 1999). Among the special applications, bentonite is often used in the cosmetic and pharmaceutical industry as both excipient and active ingredient in the forms of liquid (suspensions, emulsions), semi-solid (creams, ointments) and solid (powder, capsules and tablets). The basic requirements for bentonite to be used as raw material are pure, microbiological and mineralogical inertness. Physical properties such as swelling volume and gel formation are also important. Particularly, microcrystalline silica polymorphs such as quartz, cristobalite and opal-CT should be controlled and removed as far as possible because they show sufficient evidence of carcinogenicity in humans."

Jan 1, 2018

By W. H. Cheung

Nickel (Ni) plays a major role in the production of steel and other major alloys. There are two sources of Ni: laterite and sulphide ores. Global reserves of sulphide ores are being rapidly depleted, while there are enormous reserves of Ni laterite, much of it in Australia. As well as being present in huge amounts, Ni laterites have the advantage of containing cobalt (Co), a valuable mineral. Over the past decade, these factors have been driving the industry to explore the processing of Ni laterite. A route that has been used commercially in processing nickel laterite ore involves the thermal activation of the minerals by pre-reduction followed by ammoniacal leaching (Caron). Although this process has been effective in processing the goethite rich laterite minerals, the higher-grade serpentine-based minerals have been shown to be less susceptible to this process. This has been attributed to the formation of inert olivine phases. In this study, we examined the use of an alternative lixiviant, sulphuric acid, in leaching pre-reduced limonite and weathered saprolite nickel laterite ores. The specific aim of this study was to examine the sulphuric acid leaching of Ni and Co from pre-reduced laterite minerals, and to understand the role of mineral transformations in this metal dissolution. Synchrotron based X-ray diffraction was used to examine the transformation of goethite (FeOOH) to spinels and serpentine mineral ((Mg,Fe)3Si2O5(OH)4) to olivine. Reduction tests were carried out using CO and CO2 reducing gas mixtures and temperatures from 400 °C to 700 °C. The rate of formation and disappearance of specific Bragg peaks during reduction of specific minerals were used to derive an understanding of these solid-state reactions. Laboratory based reduction tests and leaching in sulphuric acid were used to validate the effect of these mineral transformations. The results suggest the versatility of sulphuric acid in leaching nickel from spinels and olivine, which was achieved at the expense of lower selectivity. Cobalt dissolution was found to be dependent on the nature of ferro-cobalt alloy formed during reduction.

Jan 1, 2014

By X. Q. Wu

Magnetization in slurry (MIS) of weakly magnetic minerals by iron ions was investigated. The magnetic seeds (strongly magnetic particles) were synthesized by ferruginous chlorides directly in slurry instead of previous preparations of magnetic seeds by finely grinding mineral magnetite or specially synthesizing them separately in an aqueous solution. In this way, the growth of the seeds and their adsorption on the minerals simultaneously take place in the same slurry. That after MIS the recovery of weakly magnetic mineral limonite in a magnetic separator increased means the formation and adsorption of magnetic seeds on the surface of iron mineral limonite. The magnetization effect was evaluated by limonite recovery at a magnetic strength of 3.500 Gs in a magnetic separator. Mineral limonite was properly magnetized in the following slurry condition: molar ratio of Fe3+ to Fe2+1:3, slurry temperature of 45 °C and pH 10.5. The selectivity of the magnetization between minerals limonite and quartz was improved by adding surfactant sodium oleate.

Jan 1, 2014

By Muammer Kaya, Sait Kursunoglu

"Energy is the major concern for society. It is expected that developing country economies and populations will grow and consume more energy. Interest in nuclear power is rising, while the world looks for non-depletable energy source that will not contribute to global warming. However, it still has concerns of nuclear proliferation, radioactive waste and safety. It is necessary to overcome these concerns if nuclear energy is expanded to developing countries. Thorium (Th) utilization as nuclear fuel will be an opening key of these difficulties because Th produces less Plutonium (Pu) and less radioactive waste with enhanced safety. Research into the use of Th as a nuclear fuel has been taking place over forty years, through with much less intensity than that for uranium (U) or U-Pu fuels. Nuclear industry is currently using only 0.7% of the available energy from mined U. With huge resources of Th and relatively little U, Turkey has made utilization of Th for large-scale energy production a major goal in its nuclear power programme. Thorium fuel is plentiful and inexpensive. Energy is major concern for developing Turkish society. Turkey, today exports more than 70% of its energy as fossil fuels. In the last 50 years, Turks are skeptical, anxious and indecisive about having nuclear energy for electricity production. In the last 10 years, Thorium is brought into Turkish government’s attention and national discussion as a new, safe, clean, affordable, CO2-free, alternative, strategic and domestic nuclear energy fuel. Turkey recently contacted four VVER-1200 type Russian Nuclear Power Reactors using U as a fuel in Akkuyu (Rosatom) and another four units will be established in Sinop in the next decade by Japan (Mitsubishi-Westinghouse). Turkish nuclear programme must envisage use of domestic Th as a fertile material. This paper briefly reviews the developments of Th-fuel cycle for nuclear energy from global and Turkish perspectives. Previous Th reserve development and recovery studies from Turkish bastnasite ore are summarized in this paper."

Jan 1, 2014

By Kr. J. Dedelyanova

Selective flocculation of iron minerals could improve the economics of high intensity magnetic separation as concomitant process. When the minerals are finely disseminated is necessary a finer grinding to be applied which generates a lot of slimes. The HIMS is not enough efficient for particles below 20 microns ? territory where the selective flocculation is already well known industrial practice, so the combination of these two methods of beneficiation can bring a higher grade at high recovery to be achieved. The dynamics and selectivity of the precipitation process is studied in batch tests with flocculant starch and dispersants sodium silicate and sodium hexametaphosphate. The influence of preliminary conditioning with nitrogen acid at pH 2 before flocculation is also investigated. Flowsheet including these two methods is tested and the distribution of iron is shown.

Jan 1, 2014

By X. W. Lv

The intelligent recognizing and processing system for sinter ore mineragraphy make a great convenience of recognition and measurement. Specially, it?s critical important for a successful intelligent system to extract the minerals? feature accurately and sufficiently. Reflection index, as the crucial feature of mineral, is calculated by the theoretical calculating model of index based on the principle of imaging color models. In gray histogram of minerals? micrograph, the peaks? positions represent the information about mineral categories and contents. The relationships of different minerals? peak-positions in curve of gray histogram were got by using the peak-find model of gray histogram and calculating model of reflection index. These two models which can be regard as the method of feature extraction for minerals? photomicrograph also lay a good foundation for the artificial intelligent system of recognition and processing in sinter ore.

Jan 1, 2014

By Roberto C. G. Oliveira, Scott C. Brown, Brij M. Moudgil

The wettability or surface energy of particle surfaces dictates a number of multiphase ensemble interactions that have a significant impact in mineral processing. Dispersion, bulk powder handling and flotation behavior are just a few of the parameters that are largely due to the degree of hydrophillicity or hydrophobicity on particulate surfaces. Because of the inherent impact of surface wettability in nearly all industries, fields, and multi-phase interactions, a number of simple, precise and accurate techniques for accessing surface wettability or contact angle on macroscopic flat surfaces have been developed. However, these techniques cannot be directly applied to the particulate surfaces that are often in query. Though a number of techniques are available for accessing the wettability of particulate surfaces, these methods are either relative, application specific or prohibitively tedious. In this study, key features of existing techniques are combined to formulate an improved method to delineate particle wettability that is simple, versatile and capable of providing reproducible measurements in an industrial environment.

Jan 1, 2003

By M. F. He

There are three polymorphic modifications in pyrrhotite (monoclinic, hexagonal and orthorhombic), with monoclinic and hexagonal polymorph being more abundant. The floatability of different crystalline structures of pyrrhotite (monoclinic and hexagonal) is studied in this paper. It is shown that the floatability difference of monoclinic and hexagonal is obvious and that the flotation recovery of monoclinic pyrrhotite is greater than that of hexagonal pyrrhotite using different collectors . Using butyl dithiophosphate as collector, the flotation recovery of pyrrhotite is higher than when sodium diethyl dithiocarbamate and sodium butyl xanthate are used as the collectors. Monoclinic and hexagonal pyrrhotites are more easily activated by Cu2+ in acidic conditions than in alkaline conditions, while Cu2+ can not activate hexagonal pyrrhotite when sodium diethyldithiocarbamate was used as the collector. By the measurement of contact angle, it is indicated that monoclinic and hex-agonal pyrrhotite float well and are easily activated by Cu2+when dithiophosphate was used as the collector. Using sodium diethyl dithiocarbamate as a collector, the flotation behavior of pyrrhotite was investigated. The relationship between potential and pH range for pyrrhotite flotation was established. The results show that the flotation of pyrrhotite is dependent on pulp potential at certain pH values.

Jan 1, 2014

By de Vaux. Deryck, Natalie J. Shackleton, Vratislav Malysiak Cyril T. O. Connor

"The major losses of PGM and base metals in the beneficiation of platinum group deposits occur during the separation of gangue from the value minerals by selective flotation. A number of studies have shown that this negative impact on flotation is due to surface passivation, caused by various ions that may originate from the external water supply or, as is likely in the majority of cases, from the oxidation of the mineral surfaces and the grinding media. This investigation aimed at reducing surface passivation of pentlandite and inadvertent activation of pyroxene, thereby improving ultimate valuable mineral recovery and selectivity. Both synthetic minerals and plant ores were studied in order to determine the effect surface passivation and inadvertent activation have on mineral surface alteration and floatability. Zeta potential determinations, microflotation, ToF-SIMS (Time of Flight Secondary Ion Mass Spectrometry) analyses, laboratory batch flotation tests and continuous flotation testwork were used as tools to study the surface alteration and/or floatability.Zeta potential determinations and ToF-SIMS analyses showed that copper adsorption is non-selective. Both pentlandite and pyroxene become copper (II)-activated in the presence of copper sulphate and subsequently, in the presence of xanthate, adsorption of the collector will occur onto copper activated mineral surfaces. Zeta potential determinations also showed an alteration of the surface charge in the presence of polyphosphate, thereby inhibiting surface passivation of sulphides by slime coatings due to surface repulsion.The addition of diethylenetriamine (DETA) reduces the copper concentration on both minerals, predominantly on the pyroxene surfaces and polyphosphate further enhances the selectivity at pH 6.The microflotation and batch flotation data obtained has shown a significant improvement in the ultimate flotation response of valuable mineral recovery and concentrate grade compared to the standard reagent regime, while the continuous flotation results significantly improved the selectivity, however, at a similar ultimate recovery."

Jan 1, 2003

By G. R. Forbes

Flotation froth machine vision systems provide consistent real-time measurements pertaining to the state of the flotation cell being monitored. Typical measurements include froth velocity, froth colour, froth texture and froth stability. This paper presents the results from test work conducted on the molybdenite rougher circuit at the Kennecott Utah Copper Concentrator during February 2006. Machine vision results show that it is not possible to accurately determine bubble size distribution information for the molybdenite froth, despite using state-of-the-art methods. Instead, it is necessary to make use of texture measurements to classify the various different froth states. Numerous combinations of texture measurements and classifiers are used to determine the best combination. Results show that the Fourier ring based texture measurements perform the best when both K nearest neighbour and Gaussian mixture model classifiers are used. The concentrate grade of the flotation cell is modelled using combinations of froth velocity and froth texture descriptors. The results show that by using a linear combination of these descriptors rather than either one by itself it is possible to account for a much larger percentage of the variation observed in the concentrate grade data. Adjusted R2 values of 92% and 84% are achieved when modelling the copper and the molybdenite concentrate grade respectively.

Jan 1, 2014

Incomplete liberation of mineral particles is one of the key factors limiting the performance of industrial flotation circuits. This work aims to quantify the relationship between different breakage modes and how these affect mineral liberation properties. A copper porphyry (bornite) ore sample was subjected to breakage using a piston-die compression unit and an impact mill. The particles produced as a result of each mode of breakage were then characterised using Mineral Liberation Analysis (MLA) to quantify the mineralogical and liberation properties of the progeny particles. The impact mill was found to produce bornite that was finer grained relative to the host particles. In con-trast, bornite discharged from the piston-die unit closely followed the size distribution of the host particles and was retained to a greater extent in the larger/intermediate size fractions. The results provide insight into what breakage methods are optimal for the purposes of downstream separation.

Jan 1, 2014

By J. X. Zhang, F. S. Niu

"In order to accurately detect whether the collision occurs between particle and bubble in flotation process, a collision detection method of particle and bubble, which based on morphological image processing and Otsu method, is presented. First of all, it utilizes image pre-processing to optimize images, the target area and the background area are segmented by Otsu method. Then, particle and bubble are fitted to a circle combined with the least-square method. It’s convenient to obtain the coordinate information and radius. Finally, the position of all particles is extracted to an image, which achieves the particle tracking and avoids the complexity of the continuous frame image tracking.Experimental analysis shows that the relationship between the two ordinate difference d and the bubble radius r has a certain influence on the collision detection when the dripping particles are close to the bubble, when d>r, the detection accuracy is 92%;When d=1/2r, the detection accuracy is 97%;When d=0, the detection accuracy is 100%. The result indicates that this algorithm can detect the collision between particle and bubble quickly, and the working hours of manual test are saved effectively ,the best position of dripping particles close to the bubble which is taken with a CCD camera should be in the range of the particle and bubble’s ordinate difference less than half of the bubble radius.INTRODUCTIONFlotation is an important technical means to separate useful minerals from ores. The flotation process of ores and materials in the world is treated by flotation technology up to billions of tons every year, so the study of flotation process is particularly important. Raising the collision probability between mineral particles and bubbles in flotation process is one of the key factors to improve flotation separation efficiency[1]. The study indicates that[2-4] the collision probability between particles and bubbles is influenced by many factors, such as particle density, particle size bubble size, etc. The analysis of these influential factors requires a lot of experiments. Therefore, it is of great significance to design an accurate collision detection method for the research of this field."

Jan 1, 2018