Ramón Arellano-Piña, Elvia Angélica Sanchez-Ramirez, Roberto Pérez-Garibay, Victor Hugo Gutiérrez-Pérez
{"title":"用非标准球磨机估算Bond的工作指标","authors":"Ramón Arellano-Piña, Elvia Angélica Sanchez-Ramirez, Roberto Pérez-Garibay, Victor Hugo Gutiérrez-Pérez","doi":"10.37190/ppmp/172458","DOIUrl":null,"url":null,"abstract":"Ore concentrators seek the stability of processes by feeding blends of rocks with average hardness and ore content. Therefore, large amounts of samples must be characterized in a short time. The Bond Work Index (Wi) is a common technique for the estimation of hardness and energy requirement for comminution using ball mills. However, this technique is time-consuming (close to 5 hours) and liable to experimental errors. This work contributes to obtaining new models for rapid Bond Work Index estimation using non-standard dimensions mills. This was done by proposing grinding tests using four types of ores and four mills of different dimensions, including the standard Bond ball mill (BBM). For all tests it was kept constant: (a) critical speed (91%), and (b) mill charge by volume (10.5%), varying the amount of fresh feed according to its density. The results showed that using the non-standard mills (between 20 and 35 cm in diameter), the Bond´s model constants (α=0.23; β= 0.82, and γ = 44.5), are unable to predict the Work Index properly. Therefore, these constants must be recalculated using linear models based on mill diameter. With the models proposed for α, β, and γ, the Bond Work Index (kWh/t) can be rapidly estimated (less than 2 hours) and show a high accuracy for mills of non-standard dimensions (R<sup>2</sup>= 0.96).","PeriodicalId":49137,"journal":{"name":"Physicochemical Problems of Mineral Processing","volume":"27 1","pages":"0"},"PeriodicalIF":1.3000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bond´s work index estimation using non-standard ball mills\",\"authors\":\"Ramón Arellano-Piña, Elvia Angélica Sanchez-Ramirez, Roberto Pérez-Garibay, Victor Hugo Gutiérrez-Pérez\",\"doi\":\"10.37190/ppmp/172458\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ore concentrators seek the stability of processes by feeding blends of rocks with average hardness and ore content. Therefore, large amounts of samples must be characterized in a short time. The Bond Work Index (Wi) is a common technique for the estimation of hardness and energy requirement for comminution using ball mills. However, this technique is time-consuming (close to 5 hours) and liable to experimental errors. This work contributes to obtaining new models for rapid Bond Work Index estimation using non-standard dimensions mills. This was done by proposing grinding tests using four types of ores and four mills of different dimensions, including the standard Bond ball mill (BBM). For all tests it was kept constant: (a) critical speed (91%), and (b) mill charge by volume (10.5%), varying the amount of fresh feed according to its density. The results showed that using the non-standard mills (between 20 and 35 cm in diameter), the Bond´s model constants (α=0.23; β= 0.82, and γ = 44.5), are unable to predict the Work Index properly. Therefore, these constants must be recalculated using linear models based on mill diameter. With the models proposed for α, β, and γ, the Bond Work Index (kWh/t) can be rapidly estimated (less than 2 hours) and show a high accuracy for mills of non-standard dimensions (R<sup>2</sup>= 0.96).\",\"PeriodicalId\":49137,\"journal\":{\"name\":\"Physicochemical Problems of Mineral Processing\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physicochemical Problems of Mineral Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37190/ppmp/172458\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physicochemical Problems of Mineral Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37190/ppmp/172458","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
Bond´s work index estimation using non-standard ball mills
Ore concentrators seek the stability of processes by feeding blends of rocks with average hardness and ore content. Therefore, large amounts of samples must be characterized in a short time. The Bond Work Index (Wi) is a common technique for the estimation of hardness and energy requirement for comminution using ball mills. However, this technique is time-consuming (close to 5 hours) and liable to experimental errors. This work contributes to obtaining new models for rapid Bond Work Index estimation using non-standard dimensions mills. This was done by proposing grinding tests using four types of ores and four mills of different dimensions, including the standard Bond ball mill (BBM). For all tests it was kept constant: (a) critical speed (91%), and (b) mill charge by volume (10.5%), varying the amount of fresh feed according to its density. The results showed that using the non-standard mills (between 20 and 35 cm in diameter), the Bond´s model constants (α=0.23; β= 0.82, and γ = 44.5), are unable to predict the Work Index properly. Therefore, these constants must be recalculated using linear models based on mill diameter. With the models proposed for α, β, and γ, the Bond Work Index (kWh/t) can be rapidly estimated (less than 2 hours) and show a high accuracy for mills of non-standard dimensions (R2= 0.96).
期刊介绍:
Physicochemical Problems of Mineral Processing is an international, open access journal which covers theoretical approaches and their practical applications in all aspects of mineral processing and extractive metallurgy.
Criteria for publication in the Physicochemical Problems of Mineral Processing journal are novelty, quality and current interest. Manuscripts which only make routine use of minor extensions to well established methodologies are not appropriate for the journal.
Topics of interest
Analytical techniques and applied mineralogy
Computer applications
Comminution, classification and sorting
Froth flotation
Solid-liquid separation
Gravity concentration
Magnetic and electric separation
Hydro and biohydrometallurgy
Extractive metallurgy
Recycling and mineral wastes
Environmental aspects of mineral processing
and other mineral processing related subjects.