含裂隙介质污染物输运及生物降解不同时间尺度过程的计算方法

Numerical simulation of biodegradation of contaminants in the fractured media

讨论了含裂隙介质地下水污染物输运与生物降解非线性方程组数值求解方法．用三次迎风插值方法计算裂隙介质中常见的场变量陡变化问题．用劈裂算子法，解决了方程中对流扩散过程与生化过程非线性耦合，并对快速生化反应项，利用对流项与该反应项的特征时间量级估算，给出了求生化过程作用子步的时间步长估算办法．用上述方法所得到的模拟结果与解析解和实验结果对比。

A numerical method for simulation of transport and biodegradation of contaminants in the fractured media is discussed.The cubic spline method was used to solve the advection flow dominated problem which often occurs in the fracture media.The Splitting\|Operator was used to decouple the advection and diffusion terms with biochemical term in the equations.Smaller time step for solving fast biochemical terms was introduced through comparing the order of characteristic time of biochemical term with that of advection (diffusion) term.Final numerical simulation results showed good agreement with analytical solution as well as experimental results.