This first-attempt study provided asymptotic expansion solutions of singular perturbation to disclose unsolved kinetics of bisphenol A (BPA) degradation via advanced oxidation processes (AOPs). Although different rate laws (e.g., first order kinetics) were applied to kinetic modeling via initial rate determination in AOPs, transient dynamics of pollutant degradation were still remained open to be unexplored, leading to problems for closed-form system optimization of AOPs. This study adopted “two-compartment open model” to decipher such fast reaction characteristics of BPA degradation. The area under the curve (AUC) was adopted to determine clearance of BPA degradation, revealing economically feasible treatment of AOPs. This performance index provided a more appropriate indicator than the percentage of degradation efficiency popularly used in literature. As the results indicated, k₃-dominance should be avoided to guarantee the existence of “bi-exponential disposition” as first necessary condition for operation optimality. In addition, the phenomenon of “vanishing exponential” would lead to failure treatment of AOPs (i.e., divergent AUC value); thereby, AOPs should be away from such situation(s) to be taken place. Moreover, minimization of AUC could clearly exhibit the optimal performance index for maximal BPA degradation to be achieved.

这项首次尝试的研究提供了奇异摄动的渐近扩展解，以揭示双酚A（BPA）通过高级氧化过程（AOP）降解的未解决动力学。尽管通过初始速率确定在AOP中将不同的速率定律（例如，一阶动力学）应用于动力学建模，但污染物降解的瞬态动力学仍然开放，尚待探索，从而导致AOP的闭式系统优化问题。本研究采用“两室开放模型”来解释BPA降解的这种快速反应特征。曲线下面积（AUC）被用来确定BPA降解的清除率，揭示了AOP的经济可行的处理方法。该性能指标提供了比文献中普遍使用的降解效率百分比更合适的指标。结果表明，应避免使用k ₃占主导地位，以保证“双指数配置”作为操作最佳化的第一必要条件。另外，“指数消失”现象将导致对AOP的失败处理（即，不同的AUC值）；因此，AOP应该远离将要发生的这种情况。此外，最小化AUC 可以清楚地显示出最佳的性能指标，以实现最大的BPA降解。