基于球簇填充方法的铁矿石颗粒形状研究

The Vestigation of Particle Shapes of Iron Ore Based on Multi-Sphere Method

为建立不规则铁矿石颗粒的三维模型,选用五种单粒级颗粒,即3.35~4.75 mm、4.75~6.70 mm、6.70~9.50 mm、9.50~13.20 mm、13.20~16.00 mm,基于高精度三维扫描技术,获得五组单粒级颗粒的物理特性参数,并构建了基于球簇填充方法的矿石颗粒模型。研究表明:五种单粒级颗粒的体积、表面积、球形度均符合对数正态分布,其平均球形度基本相同,球形度中值为0.794;在进行填充时,采用球簇填充方法,填充球体数量越多,所表示的填充精度就越高,体积参数误差和主方向质量分布的平均参数误差越小,两者呈指数形式减小;当填充球体数量较多,大于30时,两误差参数值最大误差分别为3.4%和2.7%,为兼顾填充精度和数值计算时间,填充颗粒球体数量确定为30个。

In order to obtain the three-dimensional model,five mono-sized particles,i.e.3.35-4.75 mm,4.75-6.70 mm,6.70-9.50 mm,9.50-13.20 mm,13.20-16.00 mm,were selected to investigate its physical property parameters by high-accuracy three-dimensional scanning technology,and the particle model of iron ore was established based on the multi-sphere method.Results show that the volume and the surface area of five mono-sized particles follow the log-normal distributions as well as the particle sphericity.These sphericities are approximately identical with a median-sphericity of 0.794.With the sphere clump method,the volume parameter error and the mean parameter error of the mass distribution in the main direction decrease exponentially,and the filling accuracy increases.When the number of filled spheres is greater than 30,the maximum errors of the two error parameters are 3.4%and 2.7%.In order to take into account the filling accuracy and numerical calculation time,the number of filled particle spheres is determined to be 30.