scholarly journals Correction to “Some analytical solutions of the linearized boussinesq equation with recharge for a sloping aquifer”

2000 ◽  
Vol 36 (7) ◽  
pp. 1989-1989 ◽  
Author(s):  
Niko E. C. Verhoest ◽  
Peter A. Troch
Keyword(s):  
Analytical Solutions ◽  
Boussinesq Equation ◽  
Linearized Boussinesq Equation ◽  
Sloping Aquifer

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

Water ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 826 ◽  
Author(s):  
Wu ◽  
Hsieh
Keyword(s):  
Groundwater Level ◽  
Boussinesq Equation ◽  
Integral Transformation ◽  
Transformation Method ◽  
Unconfined Aquifer ◽  
Convergence Criterion ◽  
Unconfined Aquifers ◽  
Linearized Boussinesq Equation ◽  
Sloping Aquifer ◽  
Rainfall Recharge

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.

Analytical Solutions to the Linearized Boussinesq Equation for Assessing the Effects of Recharge on Aquifer Discharge1

2010 ◽  
Vol 46 (6) ◽  
pp. 1116-1132 ◽  
Author(s):  
Kevin G. Boggs ◽  
Robert W. Van Kirk ◽  
Gary S. Johnson ◽  
Jerry P. Fairley ◽  
P. Steve Porter
Keyword(s):  
Analytical Solutions ◽  
Boussinesq Equation ◽  
Linearized Boussinesq Equation
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