Green element simulations of multiaquifer flows with a time-dependent Green's function

Taigbenu, Akpofure E.

doi:10.1016/j.jhydrol.2003.07.002

Cited by 5 publications

(1 citation statement)

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“…Numerical methods such as finite element methods (FEMs) and finite difference methods (FDMs) are very commonly used in engineering simulations or analyses. For the application of FEMs, Taigbenu (2003) solved the transient flow problems based on the Green element method for multi-aquifer systems with arbitrary geometries. Kihm et al (2007) used a general multidimensional hydrogeomechanical Galerkin FEM to analyze three-dimensional (3-D) problems of saturated-unsaturated flow and land displacement induced by pumping in a fluvial aquifer in the Yongpoong 2 Agriculture District, Gyeonggi-do, Korea.…”

Section: Introductionmentioning

confidence: 99%

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Lin¹,

Chang²,

Yeh³

2018

Hydrol. Earth Syst. Sci.

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Abstract. Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario for numerical studies was reported in Kihm et al. (2007). The water level of the streams is assumed to be linearly varying with distance. The aquifer is divided into two subregions and the continuity conditions of the hydraulic head and flux are imposed at the interface of the subregions. The steady-state solution describing the head distribution for the model without pumping is first developed by the method of separation of variables. The transient solution for the head distribution induced by pumping is then derived based on the steady-state solution as initial condition and the methods of finite Fourier transform and Laplace transform. Moreover, the solution for stream depletion rate (SDR) from each of the two streams is also developed based on the head solution and Darcy's law. Both head and SDR solutions in the real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW is chosen to compare with the proposed head solution for the L-shaped aquifer. The steady-state and transient head distributions within the L-shaped aquifer predicted by the present solution are compared with the numerical simulations and measurement data presented in Kihm et al. (2007).

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Section: Introductionmentioning

confidence: 99%

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Lin¹,

Chang²,

Yeh³

2018

Hydrol. Earth Syst. Sci.

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2004

Hydrological Processes

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Unsteady Flux-Vector-Based Green Element Method

2010

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This article extends the mathematical formulation and solution procedure of the modified 'q-based' GEM to unsteady situations, namely to the modified unsteady 'q-based' GEM. Solutions that provide information on the evolution of the pressure and the flux over long time intervals are available by incorporating the additional dimension of time into steady problems. This approach is first tested by solving an example for which an analytical solution is available. The numerical results for this example is found to be in excellent agreement with the analytical solution. Several problems involving geological features, such as wells and faults, are then investigated, with different properties applying to the faults. A strong influence of the low permeability faults is in evidence in these problems.

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Green element simulations of multiaquifer flows with a time-dependent Green's function

Cited by 5 publications

References 24 publications

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Currect Awareness

Unsteady Flux-Vector-Based Green Element Method

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