A Finite‐Element Three‐Dimensional Groundwater (FE3DGW) Model for a Multiaquifer System

Gupta, S. K.; Cole, C.R.; Pinder, George F.

doi:10.1029/wr020i005p00553

Cited by 28 publications

(5 citation statements)

References 8 publications

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“…Mathematical evaluation of the observed temperature field necessitates four-dimensional distributions of sinks and sources both for water and heat, for which accurate data are hard to obtain. Combination of the three-dimensional groundwater model (Gupta et al, 1984) with the heat transfer equation may be effective in a future evaluation of the present case.…”

Section: Discussionmentioning

confidence: 98%

Alteration of the groundwater thermal regime caused by advection

Kayane¹,

Taniguchi²,

Sanjo³

1985

Hydrological Sciences Journal

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Section: Discussionmentioning

confidence: 98%

Alteration of the groundwater thermal regime caused by advection

Kayane¹,

Taniguchi²,

Sanjo³

1985

Hydrological Sciences Journal

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“…Groundwater modeling is an effective method for studying groundwater flow and simulating aquifer recharge processes. Many scholars have used numerical simulations to investigate the process, effect, and optimization of managed aquifer recharge [6][7][8][9][10]. The grids in regional groundwater models are typically quite large [11].…”

Section: Introductionmentioning

confidence: 99%

Comparing Q-Tree with Nested Grids for Simulating Managed River Recharge of Groundwater

Cui

Hao

2020

Water

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The use of rivers to recharge groundwater is a key water resource management method. High-precision simulations of the groundwater level near rivers can be used to accurately assess the recharge effect. In this study, we used two unstructured grid refinement methods, namely, the quadtree (Q-tree) and nested grid refinement techniques, to simulate groundwater movement under river recharge. We comparatively analyzed the two refinement methods by considering the simulated groundwater level changes before and after the recharge at different distances from the river and by analyzing the groundwater flow and model computation efficiency. Compared to the unrefined model, the two unstructured grid refinement models significantly improve the simulation precision and more accurately describe groundwater level changes from river recharge. The unstructured grid refinement models have higher calculation efficiencies than the base model (the global refinement model) without compromising the simulation precision too much. The Q-tree model has a higher simulation precision and a lower computation time than the nested grid model. In summary, the Q-tree grid refinement method increases the computation efficiency while guaranteeing simulation precision at a certain extent. We therefore recommended the use of this grid refinement method in simulating river recharge to the aquifers.

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“…Finite element (FE) modeling of groundwater flow problems has been a subject extensively studied by several researchers over the past decades. The earliest studies which addressed this problem include the finite element analysis (FEA) of seepage through dams by Finn , Galerkin's method in aquifer analysis by Pinder and Frind , FE modeling of flow in saturated–unsaturated porous media by Reeves and Duguid , and a three‐dimensional FE model for a multi‐aquifer system by Gupta et al . Some studies proposed improvements to the FE modeling of groundwater flow based on the numerical challenges observed in previous studies.…”

Section: Introductionmentioning

confidence: 99%

Adaptive isogeometric finite element analysis of steady‐state groundwater flow

Bekele

Kvamsdal

Kvarving

et al. 2015

Num Anal Meth Geomechanics

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SUMMARYNumerical challenges occur in the simulation of groundwater flow problems due to complex boundary conditions, varying material properties, presence of sources or sinks in the flow domain or a combination of these. In this paper, we apply adaptive isogeometric finite element analysis using locally refined (LR) Bsplines to address these types of problems. The fundamentals behind isogeometric analysis and LR Bsplines are briefly presented. Galerkin's method is applied to the standard weak formulation of the governing equation to derive the linear system of equations. A posteriori error estimates are calculated to identify which B-splines should be locally refined. The error estimates are calculated based on recovery of the L 2 -projected solution. The adaptive analysis method is first illustrated by performing simulation of benchmark problems with analytical solutions. Numerical applications to two-dimensional groundwater flow problems are then presented. The problems studied are flow around an impervious corner, flow around a cutoff wall and flow in a heterogeneous medium. The convergence rates obtained with adaptive analysis using local refinement were, in general, observed to be of optimal order in contrast to simulations with uniform refinement.

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A Finite‐Element Three‐Dimensional Groundwater (FE3DGW) Model for a Multiaquifer System

Cited by 28 publications

References 8 publications

Alteration of the groundwater thermal regime caused by advection

Alteration of the groundwater thermal regime caused by advection

Comparing Q-Tree with Nested Grids for Simulating Managed River Recharge of Groundwater

Adaptive isogeometric finite element analysis of steady‐state groundwater flow

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