Urban groundwater age modeling under unconfined condition – Impact of underground structures on groundwater age: Evidence of a piston effect
Introduction
Half of the world’s population now lives in cities. This phenomenon of urbanization is such that this proportion will reach 70% (Un-Habitat, 2008) from now to 2050. Despite this anthropic pressure, the protection of natural spaces remains a major challenge in the effort to limit horizontal urban sprawl. The influence of these two constraints, anthropic pressure and property economics, leads mechanically to the vertical development of urban areas, particularly due to the potential provided by the subsoil for urban growth. In parallel, the urban subsoil is now recognized as a space rich in resources: available water, available space, geomaterials and geothermal heat (Li et al., 2013b, Li et al., 2013a), which play a vital role in ensuring sustainable territorial development (Goel et al., 2012), but for which regulations remain wanting (Foster and Garduño, 2013). This results in a lack of coordination and planning in the exploitation of this space, illustrated by conflicts over use (Bobylev, 2009), detrimental to the different systems of the underground environment.
In particular, the resilience of groundwater resources appears to be a major issue. Although 40% of the water distributed in the water supply networks of Europe comes from urban aquifers (Eiswirth et al., 2004), urban densification is leading to the construction of ever-deeper structures (Bobylev, 2009): subways, building foundations, underground carparks, etc., that interact with this resource. The interaction between groundwater and these structures can generate risks and disturbances. The flow rates drained by underground structures can impact on groundwater quality (Chae et al., 2008). The flow rates drained generate piezometric depressions giving rise to compactions (Modoni et al., 2013). On the contrary, damage to buildings can be caused by rises in groundwater levels, resulting in the flooding of lower levels, excessive hydrostatic stress exerted on buildings, and the corrosion of foundations (Lerner and Barrett, 1996). In addition, the heat island effect on groundwater due to urbanization has been clearly observed in many cities around the world (Zhu et al., 2010, Taniguchi et al., 2009, Menberg et al., 2013). Considering geothermal heat as a strategic urban resource (Lund et al., 2011, Herbert et al., 2013), underground structures can significantly affect groundwater temperatures (Epting and Huggenberger, 2013).
A recent review focused on the impact of underground structures on the flow of urban groundwater (Attard et al., 2016). Underground structures were shown to have two types of impact on groundwater flow. They can (1) impede the natural flow of the groundwater. This is the case when an impervious underground structure is built. They can also (2) disturb the groundwater budget of the flow system. This is the case when a draining underground structure is built. These disturbances can extend over an area exceeding the scale of the structure and the timescale can cover more than several decades. All the literature studied in this review dealt with the impact of underground structures on advective flow. However, up to now, the impact of underground structures on dispersive flow has not been covered by the scientific literature.
According to Kazemi et al. (2006), groundwater age modeling has been demonstrated as relevant for assessing the renewability of groundwater reservoirs, recharge rates, groundwater flow velocities, the identification of groundwater mixing processes, and the vulnerability of the resource to pollution. In particular, the reservoir theory on hydrodispersive systems was generalized and investigated (Cornaton, 2004, Cornaton and Perrochet, 2006a, Cornaton and Perrochet, 2006b) and the computational efficiency of these works opened a range of new applications regarding the depiction of groundwater age distribution and residence time. Characterizing the influence of underground structures on groundwater age could allow understanding how they contribute to the evolution of the residence time of groundwater in urban areas, and the role they play in the dispersive spreading of pollutants. Finally, the influence of underground structures on groundwater age could provide complementary knowledge regarding the impact of underground structures on groundwater, which integrate dispersive processes in urban areas.
The aim of this paper is to present an application of the reservoir theory applied to hydrodispersive systems in order to assess the influence of underground structures on groundwater age distribution in urban aquifers. In particular, this paper will focus on the influence of two common underground structures, (1) impervious deep foundations, and (2) a structure with a drainage and reinjection system, on groundwater age under unconfined condition.
Section snippets
Definitions, system description and computational domain
The age of water is the time that elapsed since it entered the system considered (Etcheverry and Perrochet, 2000). At the macroscopic scale, the age of a water sample is a probability density function. Thus, a mean value of the probability density function of groundwater age can be defined at any point in a flow system. This paper focuses on the influence of underground structures on the spatial distribution of the mean value of groundwater age.
Fig. 1 illustrates the conceptual problem of
Impact of underground structures on the groundwater flow
Fig. 5, Fig. 6 present the difference of hydraulic head between scenarios 1 and 2 and between scenarios 1 and 3, respectively. Fig. 5a shows the natural state hydraulic head distribution in a cross-section profile. In the natural state, the hydraulic head ranges from −10 m at m to approximately −8.1 m at m. At m, where the underground structures were included in scenarios 2 and 3, the groundwater table depth was −8.55 m and the hydraulic gradient was lower than 0.1%.
The comparison
Discussion
The simulation results confirmed that, as shown by Deveughèle et al., 2010, Font-Capo et al., 2015, the impact caused by impervious structures on advective flow may not be perceptible if the groundwater gradient is small. However, by taking into account the dispersive part of the flow via a three dimensional age modeling approach, our results show that underground structures, particularly impervious structures, may contribute considerably to a mixing process between the shallow and deeper
Summary and conclusions
The aim of this paper was to apply groundwater age modeling to assess the influence of two design techniques of underground constructions on the mean age distribution of groundwater under unconfined condition. A three dimensional modeling approach was used. Several simulations were run: (1) natural state (i.e. without underground construction), (2) a scenario with an impervious structure, and (3) a scenario with a draining structure. The following conclusions may be drawn from this study:
- •
The
Acknowledgements
The authors thank the Ministère de l'Écologie, du Développement Durable et de l'Énergie (the French ministry of Ecology, Sustainable Development and Energy) for its financial support. They also thank Pierre Perrochet and Laurent Lassabatère for their relevent comments and suggestions.
References (31)
- et al.
Marker species for identifying urban groundwater recharge sources: a review and case study in Nottingham, UK
Water Res.
(1999) Mainstreaming sustainable development into a city’s master plan: a case of urban underground space use
Land Use Policy
(2009)- et al.
Hydrochemistry of urban groundwater, Seoul, Korea: the impact of subway tunnels on groundwater quality
J. Contaminant Hydrol.
(2008) - et al.
Groundwater age, life expectancy and transit time distributions in advective–dispersive systems: 1. Generalized reservoir theory
Adv. Water Resour.
(2006) - et al.
Groundwater age, life expectancy and transit time distributions in advective–dispersive systems; 2. Reservoir theory for sub-drainage basins
Adv. Water Resour.
(2006) - et al.
Unraveling the heat island effect observed in urban groundwater bodies–definition of a potential natural state
J. Hydrol.
(2013) - et al.
Assessment of the barrier effect caused by underground constructions on porous aquifers with low hydraulic gradient: a case study of the metro construction in Barcelona, Spain
Eng. Geol.
(2015) - et al.
Thermal modelling of large scale exploitation of ground source energy in urban aquifers as a resource management tool
Appl. Energy
(2013) - et al.
Occurrence of carbamazepine and five metabolites in an urban aquifer
Chemosphere
(2014) - et al.
An integrated planning concept for the emerging underground urbanism: deep city method part 2 case study for resource supply and project valuation
Tunnell. Underground Space Technol.
(2013)