Diffused aeration is a sensitive process for wastewater treatment. Because of the nonlinearity and complexity of aerator dynamics due to microorganism metabolism and oxygen transfer, reliable mathematical models are needed to perform control-oriented tasks. To this end, in this study we develop a phenomenological based semi-physical model (PBSM) to predict and describe the dynamic behavior of the oxygen transfer in a diffused aeration process by means of a formal modeling methodology. This model will then be validated by using data from an aeration pilot plant. In this paper, we also show a lack of agreement in the literature in terms of the different available ways to represent the volumetric oxygen transfer coefficient k_La. Reasonable agreement between the developed model and plant data is found by considering a phenomenological approach of the k_La instead of considering many of the available empirical correlations in the literature.

扩散曝气是废水处理的敏感过程。由于微生物代谢和氧气转移引起的曝气机动力学的非线性和复杂性，因此需要可靠的数学模型来执行面向控制的任务。为此，在这项研究中，我们开发了一种基于现象学的半物理模型（PBSM），以通过正式的建模方法来预测和描述扩散曝气过程中氧气转移的动态行为。然后将通过使用曝气中试工厂的数据来验证该模型。在本文中，我们还显示了在文献中就表示体积氧转移系数k _L a的不同可用方法缺乏一致性。。通过考虑k _L a的现象学方法，而不是考虑文献中许多可用的经验相关性，可以找到已开发的模型与植物数据之间的合理一致性。