中文摘要：

研究了厌氧折流板反应器（ABR）中成熟颗粒污泥和某污水处理厂回流、厌氧、曝气、消化4个单元中絮状污泥的一维、二维分形维数（D1、D2、D＇2）及平均粒径在不同统计样本数下的变化规律。结果表明，当统计样本数达到200以上时，ABR中成熟颗粒污泥的D1、D2、D＇2值趋于稳定；当样本数达到300以上时，某污水处理厂4个单元中絮状污泥的D1、D2、D＇2值也分别趋于稳定。此外，1”ABR中的颗粒污泥在统计样本数达到350以上时其中位直径趋于稳定，而2＂ABR和某污水处理厂4个处理单元中的污泥，在试验样本数下并未达到稳定。基于研究的结果和相关文献的结论，研究认为，如果需要得到稳定的平均粒径结果，可能需要大量的统计样本数，该样本数至少要大于600。

英文摘要：

In this study, the fractal dimensions in 1-dimensional （D1 ） and 2-dimensional （ D2 、D＇2 ） of the granule sludge in an anaerobic baffled reactor （ABR） and the floc sludge in four different operation units （recycle, anaerobic, aeration and digestion） of a wastewater treatment plant（WWPT） were investigated under different statistic sample numbers, and their average diameters were also examined using the same analytic procedure. The results showed that the fractal dimensions （D1 ,D2 ,D2＇） of the granule sludge in ABR could be stable when the statistic sample numbers beyond 200,while for the floc sludge of four operation units in the WWTP the steady values of D1,D2,D2＇ can be given at the sample numbers exceeding to 300. Then the average diameter of the granule sludge in I＂ABR can not be stable until the sample numbers increase to 350, but this numbers could not be determined for the granule sludge in 2″ ABR and all the floc sludge in the WWTP within the sampling numbers of this experiment. Thus, more than 600 samples should be measured in order to acquire a stable average diameter based on our research and some other authoritative literatures＇ conclusions.