Modeling of water table profile variations owing to stream-aquifer interaction

被引:0
|
作者
Upadhyaya, Ashutosh [1 ]
Kankarej, Manisha M. [2 ]
Jeet, Pawan [1 ]
机构
[1] ICAR Res Complex Eastern Reg, Div Land & Water Management, Patna 800014, India
[2] Zayed Univ, Dept Math, Dubai, U Arab Emirates
关键词
analytical solution; aquifer discharge; aquifer recharge; boussinesq equation; numerical solution; stream; water level; UNCONFINED AQUIFER;
D O I
10.2166/wst.2023.332
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Spatial and temporal variations of the water table could be explained by the one-dimensional Boussinesq equation by incorporating the variables of evapotranspiration and groundwater recharge with appropriate initial and boundary conditions. In this study, the stream-aquifer interaction has been investigated through a numerical example model with the implementations of Galerkin's method-based Finite Element Solution (FES), Hybrid Finite Analytic Solution (HFAS), Fully Implicit Finite Difference Solution (FIFDS) of one-dimensional nonlinear Boussinesq equation, and Analytical solutions of the Boussinesq equation linearized by Baumann's transformation (AS I) as well as linearized by Werner's transformation (AS II). Considering HFAS as the benchmark solution, it was observed that in both recharging and discharging aquifers, water table profiles at 1 day and 5 days as obtained from FES followed by FIFDS were observed quite close to HFAS. Based on L2 and Tchebycheff norms, FES and FIFDS were ranked in first and second place, respectively. L2 and Tchebycheff norms could not consistently establish the performance ranking of analytical solutions but their performance ranking was certainly below the numerical solutions. The performance ranking of analytical solutions could not consistently be established using the L2 and Tchebycheff norms, but it was certainly below the numerical solutions.
引用
收藏
页码:2284 / 2296
页数:13
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