Analytic element modelling for strip aquifers

Batista, José Anderson do Nascimento; Wendland, Edson; Schulz, Harry Edmar

doi:10.1002/hyp.8222

Cited by 5 publications

(3 citation statements)

References 17 publications

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“…In the AEM, groundwater flow is generally expressed with reference to complex potential (Ω) (Gaur et al, ):

normalΩ = normalΦ + i normalΨ,

where Φ is the discharge potential (L 3 T −1 ) and ψ is the stream function (L 3 T −1 ). In a combined confined and unconfined aquifer, the discharge potential Φ can be expressed as (Batista et al, ; Strack, )

normalΦ = italickH ((),, normalϕ - b) - \frac{1}{2} {kH}^{2} if normalϕ \geq H,

normalΦ = \frac{1}{2} k {(ϕ - b)}^{2} if normalϕ \leq H,

where H is the thickness of aquifer (L) and b is the elevation of aquifer base (L). In the AEM, pumping well is represented by a point sink, river is represented by a line sink, infiltration is represented by an areal sink, and no‐flow boundary or inhomogeneity domain is represented by line doublets.…”

Section: Methodsmentioning

confidence: 99%

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Vectorized simulation of groundwater flow and contaminant transport using analytic element method and random walk particle tracking

Majumder

Eldho

2017

Hydrological Processes

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Groundwater contaminant transport processes are usually simulated by the finite difference (FDM) or finite element methods (FEM). However, they are susceptible to numerical dispersion for advection‐dominated transport. In this study, a numerical dispersion‐free coupled flow and transport model is developed by combining the analytic element method (AEM) with random walk particle tracking (RWPT). As AEM produces continuous velocity distribution over the entire aquifer domain, it is more suitable for RWPT than FDM/finite element methods. Using the AEM solutions, RWPT tracks all the particles in a vectorized manner, thereby improving the computational efficiency. The present model performs a convolution integral of the response of an impulse contaminant injection to generate concentration distributions due to a permanent contaminant source. The RWPT model is validated with an available analytical solution and compared to an FDM solution, the RWPT model more accurately replicates the analytical solution. Further, the coupled AEM‐RWPT model has been applied to simulate the flow and transport in hypothetical and field aquifer problems. The results are compared with the FDM solutions and found to be satisfactory. The results demonstrate the efficacy of the proposed method.

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“…In the AEM, groundwater flow is generally expressed with reference to complex potential (Ω) (Gaur et al, ):

normalΩ = normalΦ + i normalΨ,

normalΦ = italickH ((),, normalϕ - b) - \frac{1}{2} {kH}^{2} if normalϕ \geq H,

normalΦ = \frac{1}{2} k {(ϕ - b)}^{2} if normalϕ \leq H,

Section: Methodsmentioning

confidence: 99%

“…where Φ is the discharge potential (L 3 T −1 ) and ψ is the stream function (L 3 T −1 ). In a combined confined and unconfined aquifer, the discharge potential Φ can be expressed as (Batista et al, 2012;Strack, 1989)…”

Section: Analytic Element Methodsmentioning

confidence: 99%

Vectorized simulation of groundwater flow and contaminant transport using analytic element method and random walk particle tracking

Majumder

Eldho

2017

Hydrological Processes

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“…The method is based on the linear superposition and states linear flow systems are solved by elementary flow responses (STRACK, 1989). Its implementation requires no domain discretization and is particularly useful for applications on a regional scale (BAKKER et al, 1999;BATISTA;SCHULZ, 2012;HAITJEMA, 1995). Furthermore, its use is practical for an accurate scientific investigation focused on physical phenomena (WENDLAND; ALENCAR; STRACK, 2009; ALENCAR; WENDLAND, 2013).…”

Section: Introductionmentioning

confidence: 99%

Assessment of the potentiometric drawdown in the Guarani Aquifer System in Bauru/SP by a model of analytical elements

Boico

Wendland

Batista

2018

RBRH

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The recent drought events and the population growth in São Paulo State (Brazil) have caused many municipalities to increase the groundwater exploitation of the Guarani Aquifer System (GAS) for the public water supply. In Bauru City/SP, the extraction of water from this Aquifer is expected to increase from 3699 m 3 /h (2014) to 4465 m 3 /h (2034). However, its long-term overexploitation may compromise the amount of available groundwater. The Analytic Element Method was used for groundwater flow modeling at steady-state, which includes the regional flow, the water withdrawal from wells and the main local geological conditions. The hydraulic gradient 0.82 m/km was estimated in the GAS in Bauru City. The potentiometric drawdown in the GAS in Bauru was estimated as 50 m since the beginning of the groundwater exploitation. The drawdown for the groundwater pumping scenario in 2014 is higher than 15 m in Piratininga and Agudos and lower than 10 m in further cities. The expected drawdown for the scenario of 2034 can reach 15 m in comparison with the scenario of 2014, in the North of Bauru City, where the future wells will be located.Keywords: Hydrogeology and groundwater; Analytic element method; Water resources management; Guarani Aquifer System. RESUMOOs eventos de escassez hídrica observados nos últimos anos e o aumento populacional no Estado de São Paulo têm conduzido à maior explotação de água subterrânea do Sistema Aquífero Guarani (SAG) para abastecimento público. Somente no município de Bauru/SP, está previsto um aumento da vazão de água extraída deste Aquífero de 3699 m Assessment of the potentiometric drawdown in the Guarani Aquifer System in Bauru/SP by a model of analytical elements

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Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited

Kacimov

Kayumov

Al‐Maktoumi

2016

Advances in Water Resources

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Analytic element modelling for strip aquifers

Cited by 5 publications

References 17 publications

Vectorized simulation of groundwater flow and contaminant transport using analytic element method and random walk particle tracking

Vectorized simulation of groundwater flow and contaminant transport using analytic element method and random walk particle tracking

Assessment of the potentiometric drawdown in the Guarani Aquifer System in Bauru/SP by a model of analytical elements

Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited

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