Two-dimensional capillarity-driven seepage from a lined buried ditch: The Kornev subsurface irrigation “Absorptional” method revisited

IF 4 2区 环境科学与生态学 Q1 WATER RESOURCES
Anvar Kacimov , Yurii Obnosov , Tatyana Nikonenkova , Andrey Smagin
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引用次数: 0

Abstract

Kornev's (1935, see e.g. p.74, Fig. 34 - right panel) “open system” of capillarity-driven wetting of a fine-textured soil from a buried ditch filled by a coarse porous material is modeled analytically, using the methods of hodograph, and numerically, with the help of HYDRUS2D. Gravity, Darcian resistance of the soil at full saturation but negative pressure, and capillarity are three physical competing factors involved through the Vedernikov-Bouwer analytical model, which assumes 2-D, tension-saturated flow in a homogeneous soil sandwiched between the free surfaces (capillary fringe boundaries) and Kornev's impermeable liner of the ditch. Water seeps up from a line source, viz. a zero-pressure segment such that everywhere in the flow domain pressure remains negative. Lining minimizes deep percolation and facilitates upward and lateral spread of pore water by soil's capillarity. The free surfaces are streamlines, along which the pressure head is a negative constant (the air entrance pressure head, soil's property). For a small-depth ditch the hodograph domain is either a circular trigone, tetragon or sextagon, that determines three different flow topologies (with J.R.Philip's “dry shadow”, “dry bulb” and no dry zone at all on the leeward side of the liner and “wet lobes” hanging on the edge of the liner). The flow domain makes a capillary “fountain”. The complex potential domain is a half-strip such that the inversion method and conformal mappings are used. Transient, 2-D seepage in subsurface irrigation of a soil composite (“constructozem”), which consists of an ambient fine-textured soil and a buried Kornev's ditch (backfilled by a sand or peat), is numerically modeled by HYDRUS2D. Evapotranspiration is the fourth moisture-driving factor, which uplifts vadose zone moisture, combatting Pluto's gravity. The seepage flow rates, isobars, isohumes, isotachs, flow nets, vector-fields of Darcian velocity and other kinematic-dynamic seepage descriptors are found for various combinations of the physical properties of two contrasting porous materials and geometrical sizes (the width and depth of Kornev's ditch, depth of its burial, distance between neighbouring emitting ditches in a periodic irrigation system).
从衬里埋沟中二维毛细管驱动的渗流:重新审视科尔涅夫地下灌溉“吸收”方法
Kornev(1935年,参见图34右图第74页)的“开放系统”,即毛细驱动湿润的细纹理土壤从粗多孔材料填充的深埋沟渠中产生,在HYDRUS2D的帮助下,使用hodograph方法进行了分析建模和数值模拟。通过Vedernikov-Bouwer分析模型,重力、土壤在完全饱和但负压下的达西阻力和毛细作用是三个相互竞争的物理因素,该模型假设在自由表面(毛细条纹边界)和科尔涅夫的沟渠不透水衬里之间的均匀土壤中,二维拉伸饱和流动。水从一个线源,即一个零压力段渗出,这样在流域的任何地方压力都是负的。衬里最大限度地减少深层渗透,并通过土壤的毛细作用促进孔隙水的向上和横向扩散。自由表面为流线,沿流线压头为负常数(空气入口压头,土壤性质)。对于一个小深度沟渠,hodograph域要么是一个三角形,四边形或六边形,这决定了三种不同的流动拓扑(j.r.p rphilip的“干影”,“干球”,衬里背风侧根本没有干区,“湿叶”挂在衬里边缘)。流域形成毛细管“喷泉”。复势域为半条形,采用保角映射和反演方法。利用HYDRUS2D对一种土壤复合材料(“constructozem”)的地下灌溉中的瞬态二维渗流进行了数值模拟,该土壤复合材料由周围的细纹理土壤和埋在地下的Kornev沟(用沙子或泥炭回填)组成。蒸发蒸腾作用是第四个驱动水分的因素,它能提高水汽带的湿度,对抗冥王星的重力。渗流速率、等等值线、等等值线、等等值线、流网、达西速度矢量场和其他运动学动态渗流描述符是针对两种对比多孔材料的物理性质和几何尺寸(科尔涅夫沟的宽度和深度、埋深、周期性灌溉系统中相邻排放沟之间的距离)的各种组合而发现的。
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来源期刊
Advances in Water Resources
Advances in Water Resources 环境科学-水资源
CiteScore
9.40
自引率
6.40%
发文量
171
审稿时长
36 days
期刊介绍: Advances in Water Resources provides a forum for the presentation of fundamental scientific advances in the understanding of water resources systems. The scope of Advances in Water Resources includes any combination of theoretical, computational, and experimental approaches used to advance fundamental understanding of surface or subsurface water resources systems or the interaction of these systems with the atmosphere, geosphere, biosphere, and human societies. Manuscripts involving case studies that do not attempt to reach broader conclusions, research on engineering design, applied hydraulics, or water quality and treatment, as well as applications of existing knowledge that do not advance fundamental understanding of hydrological processes, are not appropriate for Advances in Water Resources. Examples of appropriate topical areas that will be considered include the following: • Surface and subsurface hydrology • Hydrometeorology • Environmental fluid dynamics • Ecohydrology and ecohydrodynamics • Multiphase transport phenomena in porous media • Fluid flow and species transport and reaction processes
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