scholarly journals Comment on “Appropriate Boundary Condition for Dupuit‐Boussinesq Theory on the Steady Groundwater Flow in an Unconfined Sloping Aquifer With Uniform Recharge” by Wu et al.

2019 ◽  
Vol 55 (4) ◽  
pp. 3593-3596 ◽  
Author(s):  
Jun Kong ◽  
Jie Sun ◽  
Zhaoyang Luo ◽  
Chengji Shen ◽  
Guofen Hua ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Groundwater Flow ◽  
Sloping Aquifer

scholarly journals Variation of Groundwater Flow Caused by Any Spatiotemporally Varied Recharge

Water ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 287
Author(s):  
Ming-Chang Wu ◽  
Ping-Cheng Hsieh
Keyword(s):  
Analytical Solution ◽  
Groundwater Flow ◽  
Unconfined Aquifer ◽  
Initial Water ◽  
The Past ◽  
Sloping Aquifer ◽  
Taichung City ◽  
Spatially Distributed ◽  
Recharge Rates ◽  
Rainfall Recharge

The objective of this study was to develop a complete analytical solution to determining the effect of any varying rainfall recharge rates on groundwater flow in an unconfined sloping aquifer. The domain of the unconfined aquifer was assumed to be semi-infinite with an impervious bottom base, and the initial water level was parallel to the impervious bottom of a mild slope. In the past, similar problems have been discussed mostly by considering a uniform or temporally varying recharge rate, but the current study explored the variation of groundwater flow under temporally and spatially distributed recharge rates. The presented analytical solution was verified by comparing its results with those of previous research, and the practicability of the analytical solution was validated using the 2012 and 2013 data of a groundwater station in Dali District of Taichung City, Taiwan.

Analytical Solution for Solid Cylindrical Heat Source Model With Convective Boundary Condition

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Yang Zhou ◽  
Cheng Xu ◽  
David Sego ◽  
Dong-hai Zhang
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Analytical Solution ◽  
Heat Source ◽  
Groundwater Flow ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Energy Pile ◽  
Special Cases ◽  
Scs Model

Abstract The energy pile technology has been widely used, and the solid cylindrical heat source (SCS) model is usually adopted to describe the heat transfer process between the energy pile and the surrounding soil. This paper investigates the SCS model with a convective boundary condition (SCS-3 model), and realistic conditions such as transversely isotropic ground and groundwater flow are all included in the model. An analytical solution for the problem is established using Green's function method and the theory of moving heat sources. Solutions for the SCS model with a boundary condition of the first kind (SCS-1 model) and for the line source (LS) model with a convective boundary condition (LS-3 model) are recovered as special cases of the solution in this paper. Computational examples are presented, and comparisons between different models are made. First, the SCS-1 model is compared with the SCS-3 model, showing the error caused by neglecting the surface convective effect. Second, the LS-3 model is compared with the SCS-3 model, showing the error associated with neglecting the size of heat source. The effects of groundwater flow velocity and convective heat transfer coefficient on the temporal and spatial variations of these errors are also investigated.

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