地下水渗流参数反演的微分进化算法

Differential evolution algorithm for parameter inversion of groundwater seepage flow

以非均质、各向同性含点源非稳定流定解问题为数学模型,利用有限元法对该模型进行了数值求解,并给出了求解该模型的具体过程。在此基础上,介绍了地下水参数反演方法的发展史和参数反演问题的微分进化算法。为了说明微分进化算法对反演的有效性,考虑了一个含点源方程非稳定流定解问题,并对其进行了数值模拟。结果表明,所提算法可以进行复杂的地下水参数反演求解,且具有程序实现简单、反演精度高的特点,值得在实际中应用。

Taking the inhomogeneous,isotropic and point sourse-containing non-steady flow determing solution problem as mathematical model,this paper conducts the numerical solution of the model by use of finite element method,and gives the detailed solving process. On this basis,the paper introduces the developing history of parameter inversion of groundwater seepage flow and the differential evolution algorithm of parameter inversion problem. In order to illustrate the effectness of the different evolution algorithm, a point source-containing non-steady flow problem was considered and corresponding numerical simulation was conducted. Results show that the proposed algorithm may inversely solve the complex groundwater parameters,has advantages of simplicity and high accracy,and may be used for practice.