Waterlogging of urban area soil in a hyperarid climate, caused by impedance of evapotranspiration due to land cover by an impervious pavement, is studied by a multidisciplinary team of researchers (hydropedeologists, hydrogeologists, groundwater engineers, soil physicists and mathematical modelers). In this paper, a study unique for an arid/hyperarid MENA region has been conducted: from soil pedons’ data, a thin vadose zone superjacent to a shallow water table of a coastal aquifer in Oman is described with emphasis on soil profile morphology layering and determination of the van Genuchten hydraulic parameters, used in HYDRUS modeling of evaporation-driven saturated/unsaturated flows. On a large scale, for capillarity-free groundwater flow, the Dupuit–Forchheimer model is used and an analytical solution is obtained. Intensive evaporation from the water table to a bare unpaved soil surface is impeded by an impermeable surface strip (land pavement) with an ensued rise of the water table. Waterlogging is quantified by the “dry area,” S_d, under the strip. This integral is explicitly evaluated as a function of the model parameters: aquifer’s size and evaporation-normalized conductivity, the width of the strip, d, and its locus with respect to the shoreline, u₁. Nontrivial extremes of S_d(d,u₁) are found. Contrary to the surface pavement, intensification of evaporation by capillary siphons, i.e., structural heterogeneities of a porous massif, is proposed as an engineering mitigation of groundwater inundation. Composite porous media with siphons (small-size rectangular inclusions of a contrasting finer texture) are numerically tackled by MODFLOW and HYDRUS2D. A constant flux or a constant pressure head condition is imposed on the top of the flow domain. The water table is shown to drop and S_d to increase as a result of such “passive moisture pumping” from the aquifer. A potential model for 2D tension-saturated flow is used to solve a mixed boundary-value problem in a rectangular wick. Its flow rate is analytically evaluated as a function of evaporating width and the height of the “window” through which the aquifer feeds the wick. Conformal mapping of a rectangle in the physical domain onto a rectangle in the complex potential plane is realized via two reference planes and elliptic functions.

多学科研究团队（水文地质学家、水文地质学家、地下水工程师、土壤物理学家和数学建模师）研究了由于不透水路面的土地覆盖引起的蒸发蒸腾阻抗导致的城市地区土壤在超干旱气候中的内涝。在本文中，对干旱/超干旱 MENA 地区进行了一项独特的研究：根据土壤土壤的数据，描述了阿曼沿海含水层浅水位上方的薄渗流带，重点是土壤剖面形态分层和确定 van Genuchten 水力参数，用于蒸发驱动的饱和/非饱和流的 HYDRUS 建模。在大尺度上，对于无毛细管作用的地下水流，使用 Dupuit-Forchheimer 模型并获得解析解。从地下水位到裸露的未铺砌土壤表面的强烈蒸发受到不透水表面带（地面路面）的阻碍，随之而来的是地下水位上升。内涝是用“干区”来量化的，S _d，在条带下。该积分被明确评估为模型参数的函数：含水层的大小和蒸发标准化电导率、带的宽度d及其相对于海岸线的轨迹u ₁。的非平凡极端小号_d（d，U ₁） 被发现。与地面路面相反，毛细管虹吸管加强蒸发，即多孔地块的结构异质性，被提议作为地下水淹没的工程缓解措施。MODFLOW 和 HYDRUS2D 对具有虹吸管的复合多孔介质（具有对比性更精细纹理的小尺寸矩形夹杂物）进行了数值处理。恒定通量或恒定压头条件施加在流域的顶部。显示地下水位下降，S _d由于含水层的这种“被动抽水”而增加。二维张力饱和流的潜在模型用于解决矩形灯芯中的混合边界值问题。其流速被分析评估为蒸发宽度和含水层向灯芯供给的“窗口”高度的函数。物理域中的矩形到复势平面中的矩形的共形映射是通过两个参考平面和椭圆函数实现的。