Scale aspects of groundwater flow and transport systems

Zijl, Wouter

doi:10.1007/s100400050185

Cited by 83 publications

(69 citation statements)

References 26 publications

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“…Analytic and numerical solutions have been derived by assuming that the water table is equal to the topography [e.g., Cardenas, 2007;Craig, 2008;Dahl et al, 2007;Freeze and Witherspoon, 1967;Jiang et al, 2011;Winter, 1978;Zijl, 1999]. These studies have shown the complexity of the nested flow structures, the importance of location of the discharge zones, and the sensitivity of the deep flows given specific water table surfaces.…”

Section: Introductionmentioning

confidence: 99%

Partitioning a regional groundwater flow system into shallow local and deep regional flow compartments

Goderniaux

Davy

Bresciani

et al. 2013

Water Resources Research

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[1] The distribution of groundwater fluxes in aquifers is strongly influenced by topography, and organized between hillslope and regional scales. The objective of this study is to provide new insights regarding the compartmentalization of aquifers at the regional scale and the partitioning of recharge between shallow/local and deep/regional groundwater transfers. A finite-difference flow model was implemented, and the flow structure was analyzed as a function of recharge (from 20 to 500 mm/yr), at the regional-scale (1400 km 2 ), in three dimensions, and accounting for variable groundwater discharge zones; aspects which are usually not considered simultaneously in previous studies. The model allows visualizing 3-D circulations, as those provided by Tothian models in 2-D, and shows local and regional transfers, with 3-D effects. The probability density function of transit times clearly shows two different parts, interpreted using a two-compartment model, and related to regional groundwater transfers and local groundwater transfers. The role of recharge on the size and nature of the flow regimes, including groundwater pathways, transit time distributions, and volumes associated to the two compartments, have been investigated. Results show that topography control on the water table and groundwater compartmentalization varies with the recharge rate applied. When recharge decreases, the absolute value of flow associated to the regional compartment decreases, whereas its relative value increases. The volume associated to the regional compartment is calculated from the exponential part of the two-compartment model, and is nearly insensitive to the total recharge fluctuations.Citation: Goderniaux, P., P. Davy, E. Bresciani, J.-R. de Dreuzy, and T. Le Borgne (2013), Partitioning a regional groundwater flow system into shallow local and deep regional flow compartments, Water Resour.

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Section: Introductionmentioning

confidence: 99%

Partitioning a regional groundwater flow system into shallow local and deep regional flow compartments

Goderniaux

Davy

Bresciani

et al. 2013

Water Resources Research

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“…However, it has been observed that permeability, the anisotropy of the permeability, and the existence of an REV may change with spatial scales (Clauser, 1992, Zijl, 1999, Zhang et al, 2000. Also, the permeability tensor may not be inherently symmetric before averaging the off-diagonal terms during upscaling (e.g., Zijl, 1996).…”

Section: Modelmentioning

confidence: 97%

Modeling anisotropic flow and heat transport by using mimetic finite differences

Chen

Clauser

Marquart

et al. 2016

Advances in Water Resources

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“…The flow is horizontally limited by two no-flow boundaries at x = 0 and x = L, where L is the horizontal extend of the model. Here we assume that the basin has an infinite depth, which is similar to Zijl's [1999] approach.…”

Section: Model Descriptionmentioning

confidence: 99%

“…[4] To improve the integrity of the theory of regional groundwater flow, following previous works [Tóth, 1963;Zijl, 1999;Jiang et al, 2011;Zlotnik et al, 2011], a new analytical solution for topography-driven flow is developed by considering the systematic trend of permeability as well as the trend of anisotropy with depth. The depth-dependent anisotropy is highlighted in this study.…”

Section: Introductionmentioning

confidence: 99%

A new analytical solution of topography‐driven flow in a drainage basin with depth‐dependent anisotropy of permeability

Wang

Jiang

Wan

et al. 2011

Water Resources Research

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[1] Theoretical analysis and field observations suggest that the depth-dependent trend of permeability anisotropy is a nature of the geological media accompanying the depth-decaying permeability. However, the effect of depth-dependent anisotropy has not been investigated in previous studies of regional groundwater flow. A more general analytical solution of topography-driven flow in drainage basins is derived in this study. Exponential trend of permeability with depth is assumed, and different decay rates of horizontal permeability (k x ) and vertical permeability (k z ) are included to account for the depth-dependent anisotropy. It is found that the shape of the nested flow systems in a drainage basin depends on not only the depth-dependent permeability but also the depth-dependent anisotropy ratio (k x /k z ). For stagnation points between the flow systems, the number of stagnation points is not influenced by the depth-dependent permeability and anisotropy; however, an increase in k x /k z can lead to a decrease in the depth of their location. When k x is smaller than k z on the top boundary, this phenomenon is especially significant.

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Scale aspects of groundwater flow and transport systems

Cited by 83 publications

References 26 publications

Partitioning a regional groundwater flow system into shallow local and deep regional flow compartments

Partitioning a regional groundwater flow system into shallow local and deep regional flow compartments

Modeling anisotropic flow and heat transport by using mimetic finite differences

A new analytical solution of topography‐driven flow in a drainage basin with depth‐dependent anisotropy of permeability

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