工程科学学报，第38卷，第2期：167-174,2016年2月 Chinese Journal of Engineering,Vol.38,No.2:167-174,February 2016 D0I:10.13374/j.issn2095-9389.2016.02.002:htp:/journals..ustb.edu.cn 类砂岩型矿石浸出液质量浓度混沌时序重构与浸矿 周期预测 刘超，吴爱祥巴，尹升华，柯锦福，陈勋 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，北京100083 ☒通信作者，E-mail:lchdaizi@163.com 摘要以河砂、水泥和盐为原料制作类砂岩型矿石试件，采用水浸的方式对不同品位矿石进行浸矿试验，对浸出液质量浓 度进行监测.考察了浸出液质量浓度和浸出率随浸矿时间演变规律：将浸出液质量浓度时间序列进行相空间重构，用混沌理 论揭示了不同品位矿石浸出液质量浓度在相空间中相点距演化规律：利用灰色理论，建立了浸出液质量浓度相点距演化预测 模型，确定合理的浸矿周期。研究发现：浸出液质量浓度表现出混沌特性，对其进行相空间重构处理后，细微变化特征得以放 大，内部规律得以充分展现：不同品位矿石表现出不同的非线性动力学行为：利用基于相空间重构的残差修正灰色模型预测 了浸矿周期，为溶浸采矿理论与技术提供了一种新的研究和探讨方法 关键词溶浸采矿：浸出：质量浓度：时间序列分配：相空间重构：混沌理论：预测方法 分类号TD853.3 Chaotic time series reconstruction of the concentration of leaching solution and leaching period prediction of quasi-sandstone type ore LIU Chao,WU Ai-xiang,YIN Sheng-hua,KE Jin-fu,CHEN Xun Key Laboratory of the Ministry of Education for High-efficient Mining and Safety of Metal Mines,University of Science and Technology Beijing,Beijing 100083,China Corresponding author,E-mail:lchdaizi@163.com ABSTRACT To simulate the sandstone ore leaching process,some specimens with different grades were made with river sand, cement and salt as the raw materials.On the basis of the monitoring of leaching solution concentration in a water-solution mining exper- iment,the time evolution of leaching solution concentration and leaching rate was examined.Through phase space reconstruction from the time series of leaching solution concentration,the distance evolution of points of specimens with different grades in the phase space was revealed by the chaotic theory.A prediction model of the distance evolution of phase points was established by using the grey theory,and a reasonable leaching period was ascertained.The results show that the leaching solution concentration holds chaotic char- acteristics.After the phase space reconstruction,the delicate changes of leaching solution concentration are enlarged,and the internal rules are fully demonstrated.The ores of different grades have different nonlinear dynamic behaviors.Based on the phase space recon- struction,the leaching period has been predicted by means of the residual modification grey model,which provides a new research method and theory to solution mining. KEY WORDS solution mining:leaching:mass concentration:time series analysis:phase space reconstruction:chaos theory: prediction method 近年来，在我国西部（西藏多不杂、内蒙古鄂尔多斯等地）发现多座大型砂岩型矿床网，但低品位矿床 收稿日期：2014-10-08 基金项目：国家自然科学基金资助项目(51374035)：新世纪优秀人才支持计划资助项目(NCET-130669)工程科学学报，第 38 卷，第 2 期: 167--174，2016 年 2 月 Chinese Journal of Engineering，Vol． 38，No． 2: 167--174，February 2016 DOI: 10． 13374 /j． issn2095--9389． 2016． 02． 002; http: / /journals． ustb． edu． cn 类砂岩型矿石浸出液质量浓度混沌时序重构与浸矿 周期预测 刘 超，吴爱祥，尹升华，柯锦福，陈 勋 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  通信作者，E-mail: lchdaizi@ 163． com 摘 要 以河砂、水泥和盐为原料制作类砂岩型矿石试件，采用水浸的方式对不同品位矿石进行浸矿试验，对浸出液质量浓 度进行监测． 考察了浸出液质量浓度和浸出率随浸矿时间演变规律; 将浸出液质量浓度时间序列进行相空间重构，用混沌理 论揭示了不同品位矿石浸出液质量浓度在相空间中相点距演化规律; 利用灰色理论，建立了浸出液质量浓度相点距演化预测 模型，确定合理的浸矿周期． 研究发现: 浸出液质量浓度表现出混沌特性，对其进行相空间重构处理后，细微变化特征得以放 大，内部规律得以充分展现; 不同品位矿石表现出不同的非线性动力学行为; 利用基于相空间重构的残差修正灰色模型预测 了浸矿周期，为溶浸采矿理论与技术提供了一种新的研究和探讨方法． 关键词 溶浸采矿; 浸出; 质量浓度; 时间序列分配; 相空间重构; 混沌理论; 预测方法 分类号 TD853. 3 Chaotic time series reconstruction of the concentration of leaching solution and leaching period prediction of quasi-sandstone type ore LIU Chao，WU Ai-xiang ，YIN Sheng-hua，KE Jin-fu，CHEN Xun Key Laboratory of the Ministry of Education for High-efficient Mining and Safety of Metal Mines，University of Science and Technology Beijing，Beijing 100083，China  Corresponding author，E-mail: lchdaizi@ 163． com ABSTＲACT To simulate the sandstone ore leaching process，some specimens with different grades were made with river sand， cement and salt as the raw materials． On the basis of the monitoring of leaching solution concentration in a water-solution mining exper￾iment，the time evolution of leaching solution concentration and leaching rate was examined． Through phase space reconstruction from the time series of leaching solution concentration，the distance evolution of points of specimens with different grades in the phase space was revealed by the chaotic theory． A prediction model of the distance evolution of phase points was established by using the grey theory，and a reasonable leaching period was ascertained． The results show that the leaching solution concentration holds chaotic char￾acteristics． After the phase space reconstruction，the delicate changes of leaching solution concentration are enlarged，and the internal rules are fully demonstrated． The ores of different grades have different nonlinear dynamic behaviors． Based on the phase space recon￾struction，the leaching period has been predicted by means of the residual modification grey model，which provides a new research method and theory to solution mining． KEY WOＲDS solution mining; leaching; mass concentration; time series analysis; phase space reconstruction; chaos theory; prediction method 收稿日期: 2014--10--08 基金项目: 国家自然科学基金资助项目( 51374035) ; 新世纪优秀人才支持计划资助项目( NCET--13--0669) 近年来，在我国西部( 西藏多不杂、内蒙古鄂尔多 斯等地) 发现多座大型砂岩型矿床［1--2］，但低品位矿床