Modeling Diffusive Flux of Non Point Source Pollutants in Lake Victoria: A Comparison Study of Fick's Law and the Fokker-Planck Law

N. Banadda, F. Ayaa, I. Nhapi, U. Wali, R. Kimwaga, D. Mashauri
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引用次数: 6

Abstract

Mathematical models have the potential to conceptually quantify, link and simulate the interactive processes of nature. In this study 68 samples were collected at Gaba landing site in Uganda during a rainy season and were analyzed for nutrients, namely, Ammonia, Nitrite, Nitrate, and Phosphate. In addition, portable meters were used to measure Total Dissolved Solids (TDS) and Dissolved Oxygen (DO) instantaneously at point of sample collection. Within the lake, sam- ples were taken at for horizontal transects of 10 metres (m) interval over a distance of 50 m from the shore where surface runoff was released. At each 10 m sampling point, three samples were drawn at vertical distances of 0.5 m, 1.0 m and 1.5 m from water surface using a hand pump with graduated delivery pipe. This paper presents the results obtained from the application of two alternative expressions, fick's law and Fokker-Planck law to gain insight into the pollutants diffusive flux patterns within the lake. We conclude that in general the Fokker-Planck model should be given preference, in model- ling Ammonia and Phosphate flux profiles while Fickian model should be deployed in modelling DO, TDS, Nitrites and Nitrates.
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维多利亚湖非点源污染物扩散通量的模拟:菲克定律与福克-普朗克定律的比较研究
数学模型有可能在概念上量化、联系和模拟自然的相互作用过程。本研究于雨季在乌干达Gaba着陆点收集了68个样本,并分析了营养成分,即氨、亚硝酸盐、硝酸盐和磷酸盐。此外,还使用便携式仪器在样品采集点即时测量总溶解固体(TDS)和溶解氧(DO)。在湖内,在距离地表径流释放的岸边50米的距离上,以10米为间隔的水平横断面采集样本。在每个10 m的采样点,使用带刻度输送管的手动泵在距离水面0.5 m, 1.0 m和1.5 m的垂直距离处抽取三个样本。本文介绍了应用菲克定律和福克-普朗克定律两种替代表达式来了解湖泊内污染物扩散通量模式的结果。我们得出结论,一般来说,在模拟氨和磷酸盐通量剖面时应优先考虑Fokker-Planck模型,而在模拟DO、TDS、亚硝酸盐和硝酸盐时应采用Fickian模型。
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