(1. 北京科技大学 土木与资源工程学院，北京 100083；
2. 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)
摘 要: 为定量表征全尾砂膏体管道输送过程中壁面滑移效应的减阻效果，基于膏体柱塞流动模型和H-B流变模型推导出考虑壁面滑移效应的管道阻力公式。滑移层厚度可根据尾砂平均粒径、膏体体积浓度和极限体积浓度进行计算。当H-B流变模型退变为宾汉流变模型时，考虑壁面滑移效应的管道阻力公式由小于1的无量纲系数对目前广泛使用的白金汉公式进行修正得到，修正系数与管道直径和滑移层黏度正相关，与滑移层厚度和膏体黏度负相关。工业环管试验结果表明，白金汉公式的压降预测值比实测值平均大36.6%，壁面滑移减阻模型的压降预测值比实测值平均大14.4%，壁面滑移减阻模型预测结果偏保守的原因是未考虑膏体触变性的影响。
关键字: 全尾砂膏体；管道阻力；柱塞流动；壁面滑移；H-B流变模型
（1. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China;
2. Key Laboratory of High-Efficient Mining and Safety of Metal, Ministry of Education, University of Science and Technology Beijing, Beijing 100083, China）
Abstract:To quantitatively characterize the drag reduction effect of the wall slip effect during pipeline transportation of full tailings paste, a pipe resistance formula considering the wall slip effect is derived, based on the paste plug flow model and the H-B rheological model. The slip layer thickness can be calculated according to the average tailings particle size, the volume concentration and ultimate volume concentration of paste. When the H-B rheological model is degenerated into the Bingham rheological model, the pipe resistance formula considering the wall slip effect is composed of the widely used Buckingham formula and a dimensionless coefficient less than 1. The correction coefficient is positively with the pipeline diameter and the viscosity of the slip layer, while negatively with the thickness of the slip layer and paste viscosity. The results of industrial loop test show that the predicted pressure drop by the Buckingham formula is 36.6% larger than the measured value, and the predicted pressure drop by the wall slip drag reduction model is 14.4% larger than the measured value. The wall slip drag reduction model is conservative than the measured value, because the influence of paste thixotropy is not considered.
Key words: full tailings paste; pipeline resistance; plug flow; wall slip; H-B rheological model
