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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。
The non-homogeneous and isotropic point-source unsteady flow solution problems are taken as mathematical models. The finite element method is used to solve the model numerically and the specific process of solving the model is given. On this basis, the evolutionary history of groundwater parameter inversion method and the differential evolution algorithm of parameter inversion are introduced. In order to illustrate the validity of the differential evolution algorithm for inversion, an unsteady flow defying solution with point source equation is considered and its numerical simulation is carried out. The results show that the proposed algorithm can be used to solve complex groundwater parameters inversion and has the advantages of simple procedure and high accuracy of inversion, which is worthy of practical application.