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基于生物降解后对流–弥散–吸附微分方程的模拟与研究
Simulation and Study Based on Convection-Dispersion-Adsorption Differential Equation after Biodegradation

DOI: 10.12677/MOS.2024.131023, PP. 239-246

Keywords: 生物降解,微分方程,有限差分法,质量守恒方程,插值模拟
Biodegradation
, Differential Equations, Finite Difference Method, Mass Conservation Equation, In-terpolation Simulation

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Abstract:

地下水污染中危害最大的是有机污染,因此研究有机污染行为特征十分重要。本文分别建立有机污染物中对流、弥散及吸附的微分方程,再基于质量守恒方程建立能够描述有机污染物浓度变化的一维对流–弥散–吸附微分方程,再借助有限差分的数学方法求解。通过等高线图与三维图可视化初始浓度随着时间变化的情况,发现初始时刻,有机污染物在系统中心的浓度最高,随着时间推移,浓度逐渐在河流–地下水系统中传播、扩散和吸附而降低。
The most harmful groundwater pollution is organic pollution, so it is very important to study the behavioral characteristics of organic pollution. In this paper, the differential equations of convection, dispersion and adsorption of organic pollutants are established respectively, and then the one-dimensional convection-dispersion-adsorption differential equations describing the changes in the concentration of organic pollutants are established on the basis of the mass conservation equa-tion, and then solved with the help of the finite-difference mathematical method. By visualizing the initial concentration over time through contour graphs and three-dimensional graphs, it was found that at the initial moment, the concentration of organic pollutants was highest at the center of the system. Over time, the concentration gradually decreased through propagation, dispersion and ad-sorption in the river-groundwater system.

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