潜水的
曲线坐标
流线、条纹线和路径线
地质学
含水层
流量(数学)
机械
曲率
地下水流
岩土工程
水位下降(水文)
流体静力平衡
有限差分
地下水
几何学
数学
数学分析
物理
量子力学
作者
Yebegaeshet T. Zerihun
出处
期刊:Fluids
[MDPI AG]
日期:2018-06-11
卷期号:3 (2): 42-42
被引量:8
标识
DOI:10.3390/fluids3020042
摘要
The classical Dupuit–Forchheimer approach, commonly used in analysing unconfined groundwater-flow systems, relies on the assumption of a negligible vertical component of the flow. This approximation is valid only when the convergence of streamlines is very limited and the drawdown of the phreatic surface is small, or the thickness of the horizontal layer of the heterogeneous aquifers is sufficiently small. In this study, a higher-order one-dimensional model is proposed for groundwater-flow problems with significant inclination and curvature of the phreatic surface. The model incorporates non-hydrostatic terms that take into account the effects of the vertical velocity of the flow, and was solved with an implicit finite-difference scheme. The accuracy of the proposed model was demonstrated by simulating various unconfined seepage- and groundwater-flow problems with moderate curvilinear effects. The computational results for steady-state flows were compared with the results of the full two-dimensional potential-flow methods and experimental data, resulting in a reasonably good agreement. In general, the comparison results exhibited the efficiency and validity of the model in simulating complex unconfined flows over curved bedrock and curvilinear flows over planar bedrock with a steep slope.
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