活性污泥模型(ASM)是表述废水中各种污染物质与废水处理系统中微生物之间的复杂生物化学反应过程的数学模型。本文主要介绍了国内外活性污泥数学模型的研究现状及进展,包括活性污泥1号模型(ASM1)、BSM1模型、ASM-SST模型、ASM-ASS模型、活性污泥2号模型(ASM2)、活性污泥2d模型(ASM2d)、活性污泥3号模型(ASM3)、FCASM3模型等。对这些模型做了评价和比较,并对今后的研究方向提出了建议：需要在活性污泥法机理、模型参数的确定和相关软件方面开发上多做研究,在水处理工艺设计以及水质监测方面多进行应用。

An activated sludge model is a mathematical model to describe the complex biochemical reaction of micron germs and pollutants. This paper reviews the biomathematical models of activated sludge in our country and abroad, including the Activated Sludge Model No.1(ASM1), the Benchmark Simulation Model No.1 (BSM1), the Activated Sludge Model-Secondary Sedimentation Tank (ASM-SST), the Activated Sludge Model-Aeration System Simplified (ASM-ASS), the Activated Sludge Model No.2 (ASM2), the Activated Sludge Model No.2d (ASM2d), the Activated Sludge Model No.3 (ASM3) and the Fully Coupled Activated Sludge Model No.3 (FCASM3). The existing problems of these activated sludge models are discussed. Some suggestions about activated sludge models are made. It is pointed out that the reaction mechanism of the activated sludge model should be studied in order to simplify the model; experiments should be conducted to determine parameters in the activated sludge model; and the activated sludge model software development should be encouraged, with applications in the industrial waste water engineer design and the water quality monitoring.