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Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
https://doi.org/10.5194/hess-2017-487
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
04 Sep 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Hydrology and Earth System Sciences (HESS).
Analysis of groundwater flow and stream depletion in the L-shaped fluvial aquifer
Chao-Chih Lin1, Ya-Chi Chang2, and Hund-Der Yeh1 1Institute of Environmental Engineering, National Chiao Tung University, Hsinchu, Taiwan
2Taiwan Typhoon and Flood Research Institute, National Applied Research Laboratories, Taipei, Taiwan
Abstract. Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops an analytical 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 sub-regions and the continuity conditions of hydraulic head and flux are imposed at the interface of the sub-regions. 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 real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW-2005 is chosen to check the accuracy of the 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). The SDR solution is employed to demonstrate its use as a design tool in determining well location for required amounts of SDR from nearby streams under a specific aquifer pumping rate.

Citation: Lin, C.-C., Chang, Y.-C., and Yeh, H.-D.: Analysis of groundwater flow and stream depletion in the L-shaped fluvial aquifer, Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-487, in review, 2017.
Chao-Chih Lin et al.
Chao-Chih Lin et al.
Chao-Chih Lin et al.

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Short summary
An analytical model is developed for estimating the groundwater flow and stream depletion rates (SDR) from two streams in a L-shaped fluvial aquifer located at Gyeonggi-Do, Korea. The predicted temporal drawdowns agree well with the simulations and measurements. The model is applied to predict the temporal contribution rates from the aquifer storage and the streams toward the extraction well. The present model is a preliminary design tool in determining the well location for a specific SDR.
An analytical model is developed for estimating the groundwater flow and stream depletion rates...
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