模拟矿岩散体的PFC细观参数标定方法
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摘要
为了将PFC接触本构模型中细观参数与矿岩散体的物理力学性质相比配,依据PFC接触本构模型以及矿岩散体本身的特点,提出采用抗转动线性接触模型或将抗转动线性接触模型、线性接触模型和赫兹接触模型组合应用并分别赋予不同性质的散体颗粒。分析了标定矿岩散体物理力学性质的方法及其优缺点,推荐采用与测定条件相符合的自然安息角数值试验来标定PFC细观参数。借助自然安息角数值试验,研究了抗转动线性接触模型中摩擦系数和抗转动系数对散体自然安息角的影响。研究表明:随着摩擦系数和抗转动系数的增加,自然安息角均呈现出先增大后趋于稳定的趋势。模拟结果中自然安息角的变化范围为22°~50°,与实际松散矿岩自然安息角相符。
In order to match the microscopic parameters of the PFC contact models with the physical and mechanical properties of the loose ore rock,according to the PFC contact models and the characteristics of loose ore rock,it is proposed to adopt the rolling resistance linear model,or combine the rolling resistance linear model,linear model and hertz contact model into the different particles. The methods of calibrating the physical and mechanical properties of the loose ore rock are analyzed,and its advantages and disadvantages are pointed out. It is recommended to use the repose angle numerical test to calibrate the PFC microscopic parameters in accordance with the specific measurement conditions. With the aid of the repose angle numerical tests,the influence of the friction coefficient and rolling resistance coefficient in the rolling resistance linear model on repose angle of rock mass are studied. The results show that with the increase of friction coefficient and rolling resistance coefficient,the repose angle shows a tendency that increases first and then stabilizes. The repose angle range ranges from 22° to 50°in the simulation tests,which is in accord with the repose angle of loose ore rock in the reality.
In order to match the microscopic parameters of the PFC contact models with the physical and mechanical properties of the loose ore rock,according to the PFC contact models and the characteristics of loose ore rock,it is proposed to adopt the rolling resistance linear model,or combine the rolling resistance linear model,linear model and hertz contact model into the different particles. The methods of calibrating the physical and mechanical properties of the loose ore rock are analyzed,and its advantages and disadvantages are pointed out. It is recommended to use the repose angle numerical test to calibrate the PFC microscopic parameters in accordance with the specific measurement conditions. With the aid of the repose angle numerical tests,the influence of the friction coefficient and rolling resistance coefficient in the rolling resistance linear model on repose angle of rock mass are studied. The results show that with the increase of friction coefficient and rolling resistance coefficient,the repose angle shows a tendency that increases first and then stabilizes. The repose angle range ranges from 22° to 50°in the simulation tests,which is in accord with the repose angle of loose ore rock in the reality.
引文
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[2]王培涛,杨天鸿,柳小波.无底柱分段崩落法放矿规律的PFC2D模拟仿真[J].金属矿山,2010(8):123-127.Wang Peitao,Yang Tianhong,Liu Xiaobo.PFC2D numerical simulation of ore drawing rule with pillarless sublevel caving[J].Metal Mine,2010(8):123-127.
[3]王培涛,杨天鸿,柳小波.边孔角对无底柱分段崩落法放矿影响的颗粒流数值模拟研究[J].金属矿山,2010(3):12-16.Wang Peitao,Yang Tianhong,Liu Xiaobo.Particle flow numerical simulation investigation on influence of lateral opening angle on ore drawing with sublevel pillarless caving[J].Metal Mine,2010(3):12-16.
[4]程爱平,许梦国,王平.金山店铁矿低贫化放矿数值模拟[J].金属矿山,2011(1):31-34.Cheng Aiping,Xu Mengguo,Wang Ping.A numerical simulation of low dilution ore drawing in Jinshandian Iron Mine[J].Metal Mine,2011(1):31-34.
[5]孙浩,金爱兵,高永涛,等.复杂边界条件下崩落矿岩流动特性[J].中南大学学报:自然科学版,2015,46(10):3782-3788.Sun Hao,Jin Aibing,Gao Yongtao,et al.Flow characteristics of caved ore and rock under complex boundary conditions[J].Journal of Central South University:Science and Technology,2015,46(10):3782-3788.
[6]Jin A B,Sun H,Ma G W,et al.A study on the draw laws of caved ore and rock using the discrete element method[J].Computers and Geotechnics,2016,80:59-70.
[7]邹晓甜,刘艳章,张丙涛,等.溜井底部放矿漏斗角对矿石流动性的影响研究[J].金属矿山,2016(12):160-164.Zou Xiaotian,Liu Yanzhang,Zhang Bingtao,et al.Research on effect of drawing funnel angle at the bottom of ore-pass on ore fluidity[J].Metal Mine,2016(12):160-164.
[8]井伯祥,陈超,张亚宾,等.覆盖层颗粒移动规律的PFC2D数值模拟[J].金属矿山,2016(6):43-48.Jing Boxiang,Chen Chao,Zhang Yabin,et al.PFC2D numerical simulation in velocity law of covering layer particles[J].Metal Mine,2016(6):43-48.
[9]Wensrich C M,Katterfeld A.Rolling friction as a technique for modelling particle shape in DEM[J].Powder Technology,2012,217:409-417.
[10]Kazuyoshi I,Masanobu O.Rolling resistance at contacts in simulation of shear band development by DEM[J].Journal of Engineering Mechanics,1998,124(3):285-292.
[11]刘兴国.放矿理论基础[M].北京:冶金工业出版社,1995.Liu Xingguo.Base of Ore-drawing[M].Beijing:Metallurgical Industry Press,1995.
[12]Castro R,Trueman R,Halim A.A study of isolated draw zones in block caving mines by means of a large 3D physical model[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(6):860-870.
[13]周骥.对松散矿石自然安息角的研究[J].有色金属,1983,35(2):24-29.Zhou Ji.An investigation on angles of natural repose of bulk ores[J].Nonferrous Metals,1983,35(2):24-29.