“…Moreover, the barrier efect is also related to the structure geometry (i.e., insertion depth and width) [25][26][27][28], and aquifer soil characteristics (i.e., aquifer permeability coefcient and aquifer thickness) [29,30]. However, in most of the studies, the problem is simplifed to a 2D problem [31,32], or in 3D numerical simulations, but the structure is extended to the boundary along the direction perpendicular to the fow direction [27], this can be called quasi-2D, which induces an overestimation of the barrier efect generated by a local impervious structure [33], most importantly, moly the average or maximum magnitude of the water level variation is generally provided considering diferent structure geometry [14,20,34,35]. However, there is little literature on the nonuniform distribution of groundwater level around the structure, and no simplifed calculation method of which can be founded in the previous research for neither homogeneous nor multilayer soil.…”