地下水非稳定流的灵敏度分析

Analytical Sensitivity Analysis of Transient Groundwater Flow

地下水非稳定流的灵敏度分析,首先建立一个二维饱和状态下非均匀多孔介质非稳定地下水流模型,利用伴随法计算状态变量水头关于模型参数(渗透系数和贮水系数)的灵敏度,并分析参数域在自相关或者不相关情况下获得灵敏度分析的方法论.用伴随法首先是要求解伴随方程,然后从稳态流动方程中解水头初始值,再利用初始边界求解非稳定流中的水头值和状态变量及初始状态变量的值,最后,水头关于系统参数灵敏度分析就可以表示出来.这些解析式可以更有效的计算灵敏度,也会对基于非稳定流模型的分析比较有用,这种分析方法不仅仅局限于地下水的应用方面,还可以扩展到其他类似的控制方程和类似概念条件的数学问题中.

Analytical sensitivity analysis of transient groundwater flow, Firstly, established a two-dimensional heterogene- ous porous media saturated condition problem of unsteady groundwater flow model, Using the adjoint method to calculate state variable head about model parameters （hydraulic conductivity and storage coefficient） of sensitivity analysis meth- odology, Along with the method of the initial value from the steady state flow equation first, Reuse of unsteady flow boundary and initial conditions to solve the head and state variables and , Finally, the system sensitivity can be esti- mated. These analytical solutions can be more effective to calculate sensitivity, it will be useful to based on analysis and comparison of the model, the analysis method is not only confined to the groundwater applications, can also be extended to other similar control equations and the conditions of similar concepts of math problems.