Saturated and Unsaturated Water Flow in Inclined Porous Media

Saturated and Unsaturated Water Flow in Inclined Porous Media
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倾斜多孔介质中的饱和和非饱和水流

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
C. J. Matthews
C. J. Matthews
中科院分区:
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文献类型:
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作者:
S. W. Weeks;G. Sander;R. Braddock;C. J. Matthews

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本文研究了二维饱和和非饱和水流通过倾斜多孔介质(排土场或山坡)的问题。由于偏微分方程控制这个水流变换从抛物线到椭圆的水流从非饱和到饱和的变化,迭代,有限差分格式被用来开发一个数值解。该模型可用于研究山坡坡度、土壤覆盖深度和山顶宽度对排土场积水的影响,以及排土场不同区域达到饱和所需的时间。基于计算机的解决方案的准确性和可靠性针对两种不同的边界条件进行测试-(1)在所有边界上没有流动(即,土壤水分的内部再分配达到稳定状态)和(2)排土场表面的恒定降雨通量。数值研究表明,改变山坡的角度,层的深度,和转储的几何形状上的流特性在转储的影响。
This paper considers the two-dimensional saturated and unsaturated flow of water through inclined porous media, namely a waste dump or hill slope. Since the partial differential equation governing this water flow transforms from being parabolic to elliptic as the water flow varies from unsaturated to saturated, an iterative, finite differencing scheme is used to develop a numerical solution. The model can be used to investigate the effects that hill slope angle, depth of soil cover and hilltop width have on water accumulation in the dump and the time required for saturation to occur at different areas in the dump domain. The accuracy and reliability of the computer based solution is tested for two different boundary conditions – (1) no flow on all boundaries (i.e., the internal redistribution of soil moisture to steady state) and (2) a constant rainfall flux on the dump surface. Numerical studies then show the effects of changing the hill slope angle, depth of layer, and dump geometry on the flow characteristics in the dump.