Research on stochastic diffusion water quality model
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摘要: 考虑湖泊中影响总磷沉积过程的众多生态因子的变化过程,假定湖泊中总磷沉积过程由标准布朗运动驱动,建立了一个总磷浓度的随机扩散方程,推广确定性富营养化Vollenweider水质模型为随机扩散模型,获得了总磷浓度过程的解析解,进而求出了总磷浓度过程的均值和方差,指出了一种依据沉积系数调控湖泊中总磷浓度的方法。模型被应用于巢湖总磷浓度过程的模拟。Abstract: Considering the change of various ecological factors in lake,which effected on the whole phosphorus sediment process,a stochastic difusion model for the total Phosphorus concentration in lake is estabilished,where a standard Brownian motion perturbs the whole phosphorus sediment process. We extend the Vollenweider water quality model and obtain its analytical solution,mean,and variance According to the sediment coefficient,a method that controls the total phosphorus concentration is pointed out. The model is applied to the Chao Lake in Anhui province.
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