An efficient model for solving density driven groundwater flow problems based on the network simulation method

Meca, Antonio Soto; Alhama, F.; Fernández, C.F. González

doi:10.1016/j.jhydrol.2007.03.003

Cited by 40 publications

(28 citation statements)

References 27 publications

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“…The given or very similar descriptions are discussed in the literature under the terms 'density-driven flow' [10,11,14], 'variable density flow and transport' [12] or 'natural convection in porous media' [11,13]. In case of high Rayleigh numbers a very similar description is derived for 'density fingering' [14].…”

Section: Differential Equationsmentioning

confidence: 97%

“…We choose the Poisson equation as a classical differential equation for the flow equation (11), and the 'Convection-Diffusion' mode for the transport equation (7). The coupling variables from flow to transport are the velocity components.…”

Section: Numerical Modelmentioning

confidence: 99%

“…The coupling variables from flow to transport are the velocity components. The transport to flow coupling is given by the buoyancy term on the right hand side of equation (11).…”

Section: Numerical Modelmentioning

confidence: 99%

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“…To check the reliability of the proposed groups, a significant number of scenarios are numerically simulated by the network simulation method (González‐Fernández, ), a technique successfully applied to a variety of coupled nonlinear problems in other fields of engineering, including Castro et al (), Soto‐Meca et al (), Bég et al (), and Marín et al (). As expected, streamfunction and temperature patterns are visually identical for the scenarios in which the proposed discriminated dimensionless groups retain the same value.…”

Section: Introductionmentioning

confidence: 99%

A review of classical dimensionless numbers for the Yusa problem based on discriminated non‐dimensionalization of the governing equations

Cánovas

Alhama

Trigueros

et al. 2016

Hydrological Processes

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When the governing equations of a problem are known, the non‐dimensionalization of these equations (applied in their classical form) is a useful and widely used method that can be used to identify the dimensionless groups that rule the solution. However, neither this technique nor dimensional analysis necessarily provides the most precise solution in terms of the sought numbers. The use of discrimination, a qualitative rather than quantitative extension of the non‐dimensionalization method, has demonstrated notable advantages over the classical method because it invariably provides a more precise set of dimensionless groups. The basis for the correct application of discrimination depends on a deep understanding of the phenomena involved in the problem, particularly in complex (coupled) problems. In this paper, discriminated non‐dimensionalization is applied to investigate a mixed convection problem in porous media, the Yusa problem. The derived discriminate groups are compared with those already known in the literature and deduced by classical methods. A number of scenarios are numerically solved to check the reliability of the discriminated groups in contrast with classical groups. Copyright © 2016 John Wiley & Sons, Ltd.

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“…The use of these solutions in practical applications is quite limited, mainly because the effects of mechanical dispersion are neglected. A variety of numerical codes have been proposed to solve variable-density flow and transport equations (e.g., Voss and Provost, 2002;Ackerer et al, 2004;Soto Meca et al, 2007;Ackerer and Younes, 2008;Albets-Chico and Kassinos, 2013). Abarca et al (2007) introduced a modified Henry problem to account for 25 dispersive solute transport and anisotropy in hydraulic conductivity.…”

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confidence: 99%

Groundwater withdrawal in randomly heterogeneous coastal aquifers

Siena¹,

Riva²

2017

Preprint

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Abstract.We analyze the combined effects of aquifer heterogeneity and pumping operations on seawater intrusion (SWI) in coastal aquifers, a phenomenon which is threatening Mediterranean and worldwide regions. We conceptualize the aquifer as a three-dimensional randomly heterogeneous porous medium, where the spatial distribution of permeability is uncertain. The geological setting of our study is patterned after the coastal aquifer of the Argentona river basin, in the Maresme region of 10 Catalonia (Spain). Numerical simulations of transient, three-dimensional, variable-density flow and solute transport are performed within a stochastic Monte Carlo framework. We consider a variety of groundwater withdrawal schemes, designed by varying the screen location along the vertical direction and the distance of the wellbore from the coastline and from the freshwater-saltwater mixing zone, in order to assess the impact of the pumping scenario on the contamination of the freshwater pumping well for a prescribed production rate. SWI is analyzed by examining isoconcentration curves and global 15 dimensionless quantities characterizing (i) inland penetration of the saltwater wedge and (ii) width of the mixing zone. Our results indicate that heterogeneity affects the (three-dimensional) seawater wedge either in the presence or in the absence of pumping, by reducing toe penetration and enlarging the width of the mixing zone. Simultaneous extraction of fresh and saltwater from two screens along the same wellbore located within the transition zone is effective in limiting SWI during groundwater resources exploitation. 20

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An efficient model for solving density driven groundwater flow problems based on the network simulation method

Cited by 40 publications

References 27 publications

Modeling Pathways and Stages of CO2 Storage

Modeling Pathways and Stages of CO2 Storage

A review of classical dimensionless numbers for the Yusa problem based on discriminated non‐dimensionalization of the governing equations

Groundwater withdrawal in randomly heterogeneous coastal aquifers

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