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针对垂直气固并流上行（提升管）／下行系统（下行床）的完全发展段，使用光纤密度探头测得反映系统局部密度涨落信息的时间序列，利用确定性混沌理论进行分析，获得表征系统自由度的关联维数（D_（ml））和反映系统信息丢失速率的Kolmogorov熵（K_（ml）），并对上行和下行系统做比较研究．研究发现反映局部瞬态行为特征的D_（ml）和K_ml在上行和下行系统中一定的操作条件下具有大致相同的数值，且混沌参数与局部固含率表现出对应关系．同时局部混饨参数的径向分布对应于上行和下行系统存在的典型的径向流动结构．
Aiming at the complete development of vertical gas-solid cocurrent upstream (riser) / downstream system (down-bed), time series of local density fluctuation information of the system is measured by optical fiber density probe and analyzed by deterministic chaos theory to obtain characterization (D_ (ml)) and Kolmogorov entropy (K_ (ml)), which reflect the rate of system information loss, are compared and the uplink and downlink systems are compared. The results show that the D_ (ml) and K_ml, which reflect the local transient behavior, have approximately the same values under certain operating conditions in the up and down systems, and the chaotic parameters show a corresponding relationship with the local solid content. At the same time, the radial distribution of local mixing parameters corresponds to the typical radial flow structure existing in both upstream and downstream systems.