简单介绍了level set方法的基本原理,并将其应用到含水层参数识别问题。将含水层中两种介质的界面看作level set函数的零水平集。首先给定一个初始界面,然后根据观测水头与计算水头之差,使level set函数以一定方式运动,从而使计算出来的界面逐步逼近真实界面。文中给出了两个数值算例,结果表明该方法可以有效地处理含水层参数识别问题。
This paper briefly describes the level set method and applies it to the aquifer parameter identification problem. The interface of materials is represented by a level set function. Given an initial setting, the level set function keeps evolving based on the difference between the measured head and the modeled head until the modeled interface converges to the real interface. Two numerical examples are presented and the result shows the method can efficiently identify the aquifer parameter.