کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6414032 | 1629992 | 2012 | 9 صفحه PDF | دانلود رایگان |
SummaryThe study of unconfined steady aquifer flow is usually based on either the numerical integration of the Laplace equation or on its analytical solution using the complex variable theory. A further approach that uses Adomian's method of decomposition yields simple analytical solutions in higher dimensions, does not require linearisation of the free-surface boundary condition and yields the elevation of the seepage face. A common approach is the introduction of simplified one-dimensional models that are often accurate enough for practical applications. However, the water table estimates derived by the so-called Dupuit-Forchheimer theory do not always fulfil the required accuracy. This work improves the Dupuit-Forcheimer hypotheses to obtain more precise results. For this purpose, the stream function of the groundwater flow net is formulated in natural, curvilinear coordinates. Next, an approximate one-dimensional model for the water table height is derived considering Darcy's law, retaining the curved features of the flow net. The proposed model is a higher order Dupuit-Forchheimer type approach, which was favourably compared with 2D results for Polubarinova-Kochina's rectangular dam problem and the drainage to symmetrically located ditches under steady-state conditions.
⺠We present a new approximate 1D model which, in the simplest way, retains the 2D features. ⺠The model is applied to the rectangular dam problem and the drainage of flows with recharge. ⺠The existence of the seepage surface is investigated and theoretical limitations discussed in depth. ⺠The present model is a higher order 1D Dupuit-Forchheimer model. ⺠The model is further compared to the full 2D solution, resulting in good agreement.
Journal: Journal of Hydrology - Volumes 438â439, 17 May 2012, Pages 194-202