標題: Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers
作者: Lin, Chao-Chih
Chang, Ya-Chi
Yeh, Hund-Der
環境工程研究所
Institute of Environmental Engineering
公開日期: 19-Apr-2018
摘要: Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario for numerical studies was reported in Kihm et al. (2007). The water level of the streams is assumed to be linearly varying with distance. The aquifer is divided into two subregions and the continuity conditions of the hydraulic head and flux are imposed at the interface of the subregions. The steady-state solution describing the head distribution for the model without pumping is first developed by the method of separation of variables. The transient solution for the head distribution induced by pumping is then derived based on the steady-state solution as initial condition and the methods of finite Fourier transform and Laplace transform. Moreover, the solution for stream depletion rate (SDR) from each of the two streams is also developed based on the head solution and Darcy's law. Both head and SDR solutions in the real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW is chosen to compare with the proposed head solution for the L-shaped aquifer. The steady-state and transient head distributions within the L-shaped aquifer predicted by the present solution are compared with the numerical simulations and measurement data presented in Kihm et al. (2007).
URI: http://dx.doi.org/10.5194/hess-22-2359-2018
http://hdl.handle.net/11536/144867
ISSN: 1027-5606
DOI: 10.5194/hess-22-2359-2018
期刊: HYDROLOGY AND EARTH SYSTEM SCIENCES
Volume: 22
起始頁: 2359
結束頁: 2375
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