建立拟二维系统模型,在非饱和含水层采用沿平面积分得到的垂向一维方程,在饱和含水层采用沿侧向积分得到的垂向二维方程,推导了模型的动态耦合项,提出饱和-非饱和含水层迭代耦合算法,解决潜水面处网格变动问题。与SWMS_2D进行对比,采用垂向二维水分运动稳定流解析解算例验证拟二维模型的准确度,采用非稳定流算例验证拟二维系统模型对计算效率提升的显著性。
The governing equations of the proposed quasi 2-D model were vertical 1-D in vadose zone which was got by averaging 3-D Richard's equation in the given horizontal sub-areas and vertical 2-D in saturated zone achieved by integrating 3-D Richard' s equation along lateral aquifer. The coupling relation was deduced and iterative algorithm was provided. The grid change in the interface of groundwater table was introduced. Verification of the quasi 2-D model was achieved by comparing results with those of SWMS_2D according to the analytical resolution and computation efficiency was examined by running the unsteady example with SWMS_2D.