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Improved Solutions to the Linearized Boussinesq Equation with Temporally Varied Rainfall Recharge for a Sloping Aquifer

Department of Soil and Water Conservation, National Chung Hsing University, Taichung 40227, Taiwan
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Water 2019, 11(4), 826; https://doi.org/10.3390/w11040826
Received: 27 March 2019 / Revised: 16 April 2019 / Accepted: 17 April 2019 / Published: 19 April 2019
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Abstract

Sloping unconfined aquifers are commonly seen and well investigated in the literature. In this study, we propose a generalized integral transformation method to solve the linearized Boussinesq equation that governs the groundwater level in a sloping unconfined aquifer with an impermeable bottom. The groundwater level responses of this unconfined aquifer under temporally uniform recharge or nonuniform recharge events are discussed. After comparing with a numerical solution to the nonlinear Boussinesq equation, the proposed solution appears better than that proposed in a previous study. Besides, we found that the proposed solutions reached the convergence criterion much faster than the Laplace transform solution did. Moreover, the application of the proposed solution to temporally changing rainfall recharge is also proposed to improve on the previous quasi-steady state treatment of an unsteady recharge rate. View Full-Text
Keywords: groundwater; rainfall recharge; unconfined aquifer; generalized integral transformation method (GITM) groundwater; rainfall recharge; unconfined aquifer; generalized integral transformation method (GITM)
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Wu, M.-C.; Hsieh, P.-C. Improved Solutions to the Linearized Boussinesq Equation with Temporally Varied Rainfall Recharge for a Sloping Aquifer. Water 2019, 11, 826.

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