On the calibration and validation of mathematical models for the interpretation of tracer experiments in groundwater
References (55)
Nouvelles equations de propagation d'un dand une nappe souteraine
Journal of Hydrology
(1988)- et al.
Migration of contaminants in groundwater at a landfill: a case study, 3. Tritium as an indicator of dispersion and recharge
Journal of Hydrology
(1983) - et al.
Traçage par 13C, 2H, I− et uranine dans la nappe de la craie sènonienne en écoulement radial convergent (Béthune, France)
Journal of Hydrology
(1985) - et al.
On the theory of tracer experiments in fissured rocks with a porous matrix
Journal of Hydrology
(1985) - et al.
Migration of contaminants in groundwater at a lanfill: a case study, 4. A natural gradient dispersion test
Journal of Hydrology
(1983) - et al.
A field study of scale-dependent dispersion in a sandy aquifer
Journal of Hydrology
(1987) - et al.
A linear graphical method for determining hydrodispersive characteristics in tracer experiments with instantaneous injection
Journal of Hydrology
(1987) Mass transport of solutes in dual-porosity media
Water Resources Research
(1981)- et al.
Matching a field tracer test with some simple models
Water Resources Research
(1989) - et al.
Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation, 1. The flow model
Water Resources Research
(1990)
Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation, 2. The transport model
Water Resources Research
Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 2. The solute transport
Water Resources Research
Solute transport in heterogeneous porous formations
Journal of Fluid Mechanics
A natural gradient experiment on solute transport in a sand aquifer, 2. Spatial moments and the advection and dispersion of nonreactive tracers
Water Resources Research
Three-dimensional stochastic analysis of macrodispersion in aquifers
Water Resources Research
An advection-diffusion concept for solute transport in heterogeneous unconsolidated geological deposits
Water Resources Research
Using the method of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspectives
Water Resources Research
Solute transport through fractured media, 2. Column study of fractured till
Water Resources Research
A field study of scale-dependent dispersion in a sandy aquifer — comment
Journal of Hydrology
Dispersion of tracer solutes in flowing groundwater
Water Resources Research
Stochastic description of typical inhomogeneities of hydraulic conductivity in fluvial gravel deposits
Twin Lake tracer tests: Setting, methodology, and hydraulic conductivity distribution
Water Resources Research
Mathematical modeling of radioactive tracer migration in water flowing through saturated porous media
Radiochimica Acta
Problems of Mathematical Modelling the Hydrodynamic Dispersion
Scientific Bulletin, Academy of Mining and Metallurgy
On the physical meaning of the dispersion equation and its solution for different initial and boundary conditions
Chemical Engineering Science
A natural gradient experiment on solute transport in a sand aquifer, 1. Approach and overview of plume movement
Water Resources Research
Mathematical modeling of tracer behavior in short-term experiments in fissured rocks
Water Resources Research
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Effect of underground structures on groundwater residence time distributions in confined aquifers
2023, Journal of HydrologySources and mean transit times of intermittent streamflow in semi-arid headwater catchments
2022, Journal of HydrologySubsurface hydrological processes and groundwater residence time in a coastal alluvium aquifer: Evidence from environmental tracers (δ<sup>18</sup>O, δ<sup>2</sup>H, CFCs, <sup>3</sup>H) combined with hydrochemistry
2020, Science of the Total EnvironmentCitation Excerpt :Conceptually, there are differences between the ideal groundwater age, the mean residence time (MRT), and the apparent age (Suckow, 2014; Clark, 2015; Cartwright et al., 2017). The ideal groundwater age, which is governed by the actual flow paths of varying length, cannot be measured directly; therefore, the MRT calculated by groundwater mass balances have been introduced (Eriksson, 1958; Małloszewski and Zuber, 1992; de Dreuzy and Ginn, 2016). Lumped parameter models refined the concept of residence time further and combined the methodology with measurable quantities (Amin and Campana, 1996; Maloszewski, 2000; Jurgens et al., 2012; Suckow, 2014).
The potential of groundwater as a geochemical archive of past environments
2020, Chemical GeologyCitation Excerpt :Understanding what environmental changes may be preserved in groundwater is important for linking changes in the hydrosphere with other climate and environmental records (e.g. Stute et al., 1995; Edmunds, 2001; Edmunds et al., 2001). For idealised aquifers with simple geometries, homogenous hydraulic conductivities, uniform recharge rates, and steady-state groundwater flow, mean residence times, residence time distributions, and solute concentrations may be calculated using lumped parameter models (Maloszewski and Zuber, 1992; Maloszewski, 2000; Jurgens et al., 2012). This study utilised the lumped parameter models implemented in the updated version (TracerLPM V2) of the TracerLPM Excel workbook (Jurgens et al., 2012) that includes the gamma model (Amin and Campana, 1996).
A review of the use of radiocarbon to estimate groundwater residence times in semi-arid and arid areas
2020, Journal of HydrologyCitation Excerpt :Lumped parameter models are valuable in exploring the range of residence times that may correspond to measured 14C activities (which is important for attempts to understand the behaviour of groundwater in the context of other palaeoclimate archives). While this is probably an improvement on calculating groundwater ages in radiocarbon years, lumped parameter models still make several major simplifying assumptions, namely uniform aquifer thickness, steady state flow, and homogenous aquifer properties (Maloszewski and Zuber, 1992; Cook and Bohlke, 2000; Jurgens et al., 2012). Additionally, most lumped parameter models use analytical solutions that assume a smooth distribution of residence times in the groundwater samples, which is very difficult to validate.
A review of radioactive isotopes and other residence time tracers in understanding groundwater recharge: Possibilities, challenges, and limitations
2017, Journal of HydrologyCitation Excerpt :Groundwater is more likely to follow flow paths of varying length (Fig. 2) such that the water captured by a well comprises numerous aliquots with a range of residence times governed by the distribution of flow paths in the flow system (Maloszewski and Zuber, 1982, 1992; Bethke and Johnson, 2008; Suckow, 2014; McCallum et al., 2015; Jasechko, 2016). The distribution of residence times and tracer concentrations in an idealised flow system may be described using lumped parameter models (Maloszewski and Zuber, 1982, 1992; Cook and Bohlke, 2000; Jurgens et al., 2012) or analytical solutions that apply to a specific range of aquifer geometries (Stauffer et al., 2011). A large proportion of studies that have utilised shorter residence time tracers, such as 3H and the CFCs have used this approach (Table S1).