膏体絮网结构的分形特征及其屈服应力预测研究

Fractal Characteristics of Flocculated Structure in Tailings Paste and Prediction of Its Yield Stress

  • 摘要: 尾矿膏体充填技术的应用日趋广泛,屈服应力对膏体浓密制备、管道输送等工艺具有重要的指导意义。通过对已有研究的分析,提出膏体絮网结构和颗粒骨架结构是影响屈服应力的关键,借助分形理论对絮网结构的形貌特征进行分析,得到了絮凝体等效粒径关于黏性颗粒中值粒径及体积分数、絮凝体分形维数的数学关系,在此基础上考虑絮网结构和骨架结构对屈服应力的综合作用,建立了膏体屈服应力的测算模型,将3种尾矿制备为不同体积分数的实验膏体,通过实验膏体的屈服应力实测数据对测算模型的适应性进行了验证分析。研究结果表明:膏体絮网结构具有典型的分形特征,3种尾矿膏体絮网结构的分形维数nf=2.63~2.72,且尾矿中黏粒(d≤2μm)占比越高,分形维数越大。相同体积分数条件下,细颗粒(d≤20 μm)占比越大,絮网结构发育越密实,屈服应力越大;粗颗粒(d>20μm)级配分布不连续,颗粒骨架结构间的摩擦作用越强,屈服应力越大。所建立的屈服应力测算模型拟合效果较好,具有一定的实用价值,为类似高浓度浆体流变性质的分析提供了新的思路。

     

    Abstract: The application of tailings paste backfill technology is becoming increasingly widespread. Yield stress holds significant guiding importance for key processes such as paste thickening and pipeline transportation. Based on an analysis of existing research, it is proposed that the flocculated network structure and the particle skeleton structure are critical factors influencing yield stress. Utilizing fractal theory, the morphological characteristics of the flocculated network structure were analyzed, resulting in a mathematical relationship describing the equivalent diameter of flocs in terms of the median particle size and volume fraction of clay−sized particles, as well as the fractal dimension of the flocs. Building on this, and considering the combined effect of the flocculated network structure and the particle skeleton structure on yield stress, a predictive model for paste yield stress was established. Three types of tailings were prepared into experimental paste samples with varying solid volume fractions. The adaptability of the predictive model was then validated and analyzed using measured yield stress data from these experimental paste samples.The results indicate that the flocculated network structure of paste exhibits typical fractal characteristics. The fractal dimension (nf) of the flocculated network structure for the three tailings pastes ranges from 2.63 to 2.72. A higher proportion of clay−sized particles (d≤2 μm) in the tailings correlates with a larger fractal dimension.Under the same solid volume fraction conditions, a higher proportion of fine particles (d≤ 20 μm) leads to a denser development of the flocculated network structure and consequently a higher yield stress.A more discontinuous gradation distribution of coarse particles (d > 20 μm) results in stronger frictional interactions within the particle skeleton structure, leading to a higher yield stress.The established yield stress predictive model demonstrates good fitting performance and possesses practical value. It provides a new approach for analyzing the rheological properties of similar high−concentration slurries.

     

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