Analytical single-potential, sharp-interface solutions for regional seawater intrusion in sloping unconfined coastal aquifers, with pumping and recharge

Koussis, Antonis D.; Mazi, Katerina; Destouni, Georgia

doi:10.1016/j.jhydrol.2011.11.012

Cited by 52 publications

(75 citation statements)

References 26 publications

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“…The Akrotiri Basin and aquifer geology, hydrological budget, and water management scenarios and conditions have been studied extensively by Mazi (2000), Koussis (2001), Mazi et al (2004a, b), and Koussis et al (2010bKoussis et al ( , 2012. The alluvial aquifer consists of river deposits, gravels with layers of marls, and sands with boulders interbedded with lenses of silts and clays.…”

Section: K Mazi Et Al: Intensively Exploited Mediterranean Aquifersmentioning

confidence: 99%

“…They are also useful for screening the impact of various groundwater pumping alternatives in management scenarios (Koussis et al, 2012;Mantoglou, 2003). After developing a sound conceptual model, properly schematizing aquifer geometry, and carefully estimating dominant hydraulic parameters and forcing quantities, analytical solutions can be used for systematic analyses, elucidating the way in which various physical and management parameters impact the seawater intrusion behavior of coastal aquifers, and determining likely intrusion responses to various forcing conditions (Werner and Simmons, 2009;Ferguson and Gleason, 2012;Mazi et al, 2013).…”

Section: Modeling Approachmentioning

confidence: 99%

“…From this perspective, we use here the generalized analytical model of Koussis et al (2012) (see Appendix A for the mathematical details) for steady interface flow in sloping phreatic aquifers, recently enhanced to allow for a gap in the sharp interface, through which submarine groundwater discharges (Koussis et al, 2014). That enhanced model retains the simplicity of classical Dupuit-type sharp-interface solutions, which however ignore that gap, assuming outflow through an idealized singular point.…”

Section: Modeling Approachmentioning

confidence: 99%

“…That enhanced model retains the simplicity of classical Dupuit-type sharp-interface solutions, which however ignore that gap, assuming outflow through an idealized singular point. The solution of Koussis et al (2012) accounts for the generally present and usually hydraulically significant aquifer slope that has previously been ignored in analytical sharp-interface solutions of seawater intrusion (e.g., Strack, 1976). This discharge-potential model approximates the gravity-driven flow component and represents the aquifer geometry in a schematized yet realistic manner.…”

Section: Modeling Approachmentioning

confidence: 99%

“…To compare our results to those obtained with variable-density models, we assigned to the sharp interface the 50 % salinity line (17 500 ppm) of the transition zone, as suggested by Reilly and Goodman (1987) and generally adopted. With the use of this generalized model and approach, Koussis et al (2012) have identified important criteria useful in the management of an aquifer, and Mazi et al (2013) have shown the aquifer's highly non-linear response to seawater intrusion and associated tipping points that should not be crossed in order to avoid rapid loss of control and complete seawater intrusion.…”

Section: Modeling Approachmentioning

confidence: 99%

See 4 more Smart Citations

Intensively exploited Mediterranean aquifers: resilience to seawater intrusion and proximity to critical thresholds

Mazi

Koussis

Destouni

2014

Hydrol. Earth Syst. Sci.

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Abstract. We investigate seawater intrusion in three prominent Mediterranean aquifers that are subject to intensive exploitation and modified hydrologic regimes by human activities: the Nile Delta, Israel Coastal and Cyprus Akrotiri aquifers. Using a generalized analytical sharp interface model, we review the salinization history and current status of these aquifers, and quantify their resilience/vulnerability to current and future seawater intrusion forcings. We identify two different critical limits of seawater intrusion under groundwater exploitation and/or climatic stress: a limit of well intrusion, at which intruded seawater reaches key locations of groundwater pumping, and a tipping point of complete seawater intrusion up to the prevailing groundwater divide of a coastal aquifer. Either limit can be reached, and ultimately crossed, under intensive aquifer exploitation and/or climate-driven change. We show that seawater intrusion vulnerability for different aquifer cases can be directly compared in terms of normalized intrusion performance curves. The site-specific assessments show that (a) the intruding seawater currently seriously threatens the Nile Delta aquifer, (b) in the Israel Coastal aquifer the sharp interface toe approaches the well location and (c) the Cyprus Akrotiri aquifer is currently somewhat less threatened by increased seawater intrusion.

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Section: K Mazi Et Al: Intensively Exploited Mediterranean Aquifersmentioning

confidence: 99%

Section: Modeling Approachmentioning

confidence: 99%

Section: Modeling Approachmentioning

confidence: 99%

Section: Modeling Approachmentioning

confidence: 99%

Section: Modeling Approachmentioning

confidence: 99%

See 3 more Smart Citations

Intensively exploited Mediterranean aquifers: resilience to seawater intrusion and proximity to critical thresholds

Mazi

Koussis

Destouni

2014

Hydrol. Earth Syst. Sci.

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Analytical solutions of seawater intrusion in sloping confined and unconfined coastal aquifers

Xin

Kong

et al. 2016

Water Resources Research

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Sloping coastal aquifers in reality are ubiquitous and well documented. Steady state sharp‐interface analytical solutions for describing seawater intrusion in sloping confined and unconfined coastal aquifers are developed based on the Dupuit‐Forchheimer approximation. Specifically, analytical solutions based on the constant‐flux inland boundary condition are derived by solving the discharge equation for the interface zone with the continuity conditions of the head and flux applied at the interface between the freshwater zone and the interface zone. Analytical solutions for the constant‐head inland boundary are then obtained by developing the relationship between the inland freshwater flux and hydraulic head and combining this relationship with the solutions of the constant‐flux inland boundary. It is found that for the constant‐flux inland boundary, the shape of the saltwater interface is independent of the geometry of the bottom confining layer for both aquifer types, despite that the geometry of the bottom confining layer determines the location of the interface tip. This is attributed to that the hydraulic head at the interface is identical to that of the coastal boundary, so the shape of the bed below the interface is irrelevant to the interface position. Moreover, developed analytical solutions with an empirical factor on the density factor are in good agreement with the results of variable‐density flow numerical modeling. Analytical solutions developed in this study provide a powerful tool for assessment of seawater intrusion in sloping coastal aquifers as well as in coastal aquifers with a known freshwater flux but an arbitrary geometry of the bottom confining layer.

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Ghijben–Herzberg Equilibrium

Holzbecher¹

2019

Encyclopedia of Water

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The Ghijben–Herzberg equilibrium concerning the relation between the elevation of the freshwater table and the depth of the fresh–salt–water interface in coastal aquifers was formulated at the turn between the nineteenth and twentieth century. It was independently stated by Ghijben in the Netherlands and Herzberg in Germany and provides a simple formula based on the densities of the two water bodies. In the time past since its origin, there have been lots of different studies in research and applications. Limitations have been formulated and discovered. Extensions have been proposed to overcome the limitations and improve the applicability. Analytical and numerical methods have been developed and can be used nowadays for more detailed computations. However, the Ghijben–Herzberg formula has proved to be an easy rule of a thumb and a valid approximation in laboratory experiments and in the field.

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Analytical single-potential, sharp-interface solutions for regional seawater intrusion in sloping unconfined coastal aquifers, with pumping and recharge

Cited by 52 publications

References 26 publications

Intensively exploited Mediterranean aquifers: resilience to seawater intrusion and proximity to critical thresholds

Intensively exploited Mediterranean aquifers: resilience to seawater intrusion and proximity to critical thresholds

Analytical solutions of seawater intrusion in sloping confined and unconfined coastal aquifers

Ghijben–Herzberg Equilibrium

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