工程科学学报，第40卷，第2期：152-158,2018年2月 Chinese Journal of Engineering,Vol.40,No.2:152-158,February 2018 DOI:10.13374/j.issn2095-9389.2018.02.004;http://journals.ustb.edu.cn 深锥浓密机底流浓度模型及动态压密机理分析 吴爱祥12)，杨莹12)，王贻明12)，陈辉2)，王勇12) 1)北京科技大学金属矿山高效开采与安全教有部重点实验室，北京1000832)北京科技大学土木与资源工程学院，北京100083 ☒通信作者，E-mail:18810607452@163.com 摘要泥层高度和底流浓度是深锥浓密机最为重要的两个参数，因此有必要研究底流浓度随泥层高度的变化规律。采用自 制小型深锥浓密机，对尾矿非连续/连续动态压密过程进行了物理实验：借助于有效孔隙比与泥层压强间遵循的Pwr函数关 系，结合对尾矿颗粒的受力分析，推导出了底流浓度与泥层高度的数学模型，揭示了浓密机底流浓度与泥层高度的内在关系， 并从尾矿颗粒空间结构的角度解释了该模型的变化规律：结合矿山生产对于底流浓度的要求，应用该数学模型，为其推荐了 泥层高度的合理范围，验证了底流浓度数学模型的可靠性.该模型为深锥浓密机的设计和运行提供了理论依据， 关键词深锥浓密机：泥层高度：底流浓度：数学模型；压密机理 分类号TD853 Mathematical modelling of underflow concentration in a deep cone thickener and analysis of the dynamic compaction mechanism WU Ai-xiang2),YANG Ying),WANG Yi-ming 2),CHEN Hui2),WANG Yong2) 1)Key Laboratory of Ministry of Education for High-Efficient Mining and Safety of Metal Mines,University of Science and Technology Beijing,Beijing 100083,China 2)School of Civil and Resource Engineering.University of Science and Technology Beijing.Beijing 100083.China Corresponding author,E-mail:18810607452@163.com ABSTRACT The sludge height and underflow rate are the two most important parameters for deep cone thickeners.Therefore,stud- ying the law of change of the underflow concentration with sludge height is important.Discontinuous or continuous dynamic compaction processes of the tailings were investigated physically by using a small,self-made deep cone thickener.Using the power function relation between effective void ratio and mud pressure and combining with force analyses of the tailing particles,this study deduced a mathemat- ical model of underflow concentration and sludge height.The results revealed the inner floc structure relation between underflow con- centration and sludge height of the deep cone thickener.In addition,the law of change of this model was explained by applying a spa- tial structure theory of tailings particles.Based on the requirements for the underflow concentration of mine production,the mathemati- cal model was applied,the reasonable range of sludge height was presented,and the reliability of this model was verified.Moreover, this mathematical model provides a theoretical basis for the design and operation of deep-cone thickeners KEY WORDS deep-cone thickener;sludge height;underflow concentration;mathematical model;compaction mechanism 膏体充填采矿技术因其尾砂利用率高]、可 已经成为矿山绿色开采体系中的重要组成部 最大限度地减少矿山固体废弃物排放[)等优点， 分[68)，也是全球矿业领域的技术热点和发展新动 收稿日期：2017-03-20 基金项目：国家重点研发计划资助项目(2016YFC0600709):国家自然科学基金资助项目(51374034,51574013)：北京市科委资助项目 (Z161100001216002)工程科学学报,第 40 卷,第 2 期:152鄄鄄158,2018 年 2 月 Chinese Journal of Engineering, Vol. 40, No. 2: 152鄄鄄158, February 2018 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2018. 02. 004; http: / / journals. ustb. edu. cn 深锥浓密机底流浓度模型及动态压密机理分析 吴爱祥1,2) , 杨 莹1,2) 苣 , 王贻明1,2) , 陈 辉1,2) , 王 勇1,2) 1) 北京科技大学金属矿山高效开采与安全教育部重点实验室, 北京 100083 2) 北京科技大学土木与资源工程学院, 北京 100083 苣 通信作者, E鄄mail:18810607452@ 163. com 摘 要 泥层高度和底流浓度是深锥浓密机最为重要的两个参数,因此有必要研究底流浓度随泥层高度的变化规律. 采用自 制小型深锥浓密机,对尾矿非连续/ 连续动态压密过程进行了物理实验;借助于有效孔隙比与泥层压强间遵循的 Power 函数关 系,结合对尾矿颗粒的受力分析,推导出了底流浓度与泥层高度的数学模型,揭示了浓密机底流浓度与泥层高度的内在关系, 并从尾矿颗粒空间结构的角度解释了该模型的变化规律;结合矿山生产对于底流浓度的要求,应用该数学模型,为其推荐了 泥层高度的合理范围,验证了底流浓度数学模型的可靠性. 该模型为深锥浓密机的设计和运行提供了理论依据. 关键词 深锥浓密机; 泥层高度; 底流浓度; 数学模型; 压密机理 分类号 TD853 收稿日期: 2017鄄鄄03鄄鄄20 基金项目: 国家重点研发计划资助项目(2016YFC0600709 );国家自然科学基金资助项目( 51374034,51574013 );北京市科委资助项目 (Z161100001216002) Mathematical modelling of underflow concentration in a deep cone thickener and analysis of the dynamic compaction mechanism WU Ai鄄xiang 1,2) , YANG Ying 1,2) 苣 , WANG Yi鄄ming 1,2) , CHEN Hui 1,2) , WANG Yong 1,2) 1) Key Laboratory of Ministry of Education for High鄄Efficient Mining and Safety of Metal Mines, University of Science and Technology Beijing, Beijing 100083, China 2) School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China 苣 Corresponding author, E鄄mail: 18810607452@ 163. com ABSTRACT The sludge height and underflow rate are the two most important parameters for deep cone thickeners. Therefore, stud鄄 ying the law of change of the underflow concentration with sludge height is important. Discontinuous or continuous dynamic compaction processes of the tailings were investigated physically by using a small, self鄄made deep cone thickener. Using the power function relation between effective void ratio and mud pressure and combining with force analyses of the tailing particles, this study deduced a mathemat鄄 ical model of underflow concentration and sludge height. The results revealed the inner floc structure relation between underflow con鄄 centration and sludge height of the deep cone thickener. In addition, the law of change of this model was explained by applying a spa鄄 tial structure theory of tailings particles. Based on the requirements for the underflow concentration of mine production, the mathemati鄄 cal model was applied, the reasonable range of sludge height was presented, and the reliability of this model was verified. Moreover, this mathematical model provides a theoretical basis for the design and operation of deep鄄cone thickeners. KEY WORDS deep鄄cone thickener; sludge height; underflow concentration; mathematical model; compaction mechanism 膏体充填采矿技术因其尾砂利用率高[1鄄鄄3] 、可 最大限度地减少矿山固体废弃物排放[4鄄鄄5] 等优点, 已 经 成 为 矿 山 绿 色 开 采 体 系 中 的 重 要 组 成 部 分[6鄄鄄8] ,也是全球矿业领域的技术热点和发展新动