On macrodispersion in uniform ? radial divergent flow through weakly heterogeneous aquifers

Indelman, Peter

doi:10.1007/s00477-003-0165-1

Cited by 9 publications

(13 citation statements)

References 22 publications

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“…Table 1 shows that for non-autocorrelated heterogeneity, 𝐴𝐴 𝐴𝐴𝐴𝐴 is larger under cylindrical flow than planar flow. This agrees with Indelman (2004), who showed that when 𝐴𝐴 𝐴𝐴 𝐴 𝐴𝐴 , as is the case for non-autocorrelated heterogeneity, the macrodispersion coefficient 𝐴𝐴 𝐴𝐴𝑘𝑘 grows slowly with distance for cylindrical flow but not for planar flow, although we found that 𝐴𝐴 𝐴𝐴 is small but not exactly zero under planar flow. In summary, for identical heterogeneous aquifers, imposing a different flow field results in different fitted macrodispersion parameters 𝐴𝐴 𝐴𝐴𝐴 𝐴𝐴 .…”

Section: Effects Of Heterogeneity Structure and Flow Field Geometry O...supporting

confidence: 92%

Macrodispersion and Recovery of Solutes and Heat in Heterogeneous Aquifers

Tang

Zee

2022

Water Resources Research

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Wells in groundwater aquifers are used in cyclic injection-extraction processes, otherwise named push-pull processes, in a variety of applications related to the storage of water of some particular quality (Dillon et al., 2019). Examples include fresh water supplies that are of drinking or irrigation quality, and hot or cold water to be used for indoor heating or cooling. Water that is stored in an open environment, such as within a dam or reservoir, will interact with the atmosphere and surface runoff, thereby gradually diminishing its thermal quality through heat exchange, and its chemical quality through contamination with environmental aerosols, soluble gases, and runoff of marginal quality. This has led to a pressing need for research into efficient means of large capacity seasonal thermal (Rad & Fung, 2016) and freshwater (Missimer et al., 1992) storage, amongst which geological storage exhibits the most immediate economic potential and technological feasibility (Missimer, 2012;Xu et al., 2014). Confined groundwater aquifers, which permit minimal interaction between groundwater and the external environment (e.g., the vadose zone and the atmosphere), are increasingly being used as geological storage vessels for water. Aquifer Thermal Energy Storage (ATES; Fleuchaus et al., 2018) and Aquifer Storage and Recovery (ASR; Pyne, 2017) are two aquifer storage technologies currently in widespread usage for the storage of heat and freshwater, respectively.A crucial performance metric of an aquifer storage system is the recovery efficiency of the injected solutes or thermal gradient, which is the fraction of injected solutes or heat that can be recovered at the end of a storage cycle. During the injection and extraction phases, solutes and/or heat spread around the injected water front due to hydrodynamic dispersion processes. Local hydrodynamic dispersion, which governs the rate of dispersive losses, comprises the flow velocity-dependent mechanical dispersion, and the flow velocity-independent molecular or thermal diffusion (for solutes and heat, respectively). For storage systems in homogeneous aquifers, Tang and van der Zee (2021) recently analyzed the dependence of the recovery efficiency on hydrodynamic dispersion parameters, well operational parameters, and flow field geometry. In heterogeneous aquifers, with a spatially

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Section: Effects Of Heterogeneity Structure and Flow Field Geometry O...supporting

confidence: 92%

Macrodispersion and Recovery of Solutes and Heat in Heterogeneous Aquifers

Tang

Zee

2022

Water Resources Research

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“…When the scales of velocity variability are smaller than the sizes of solute plumes, it was found that the macrodispersion performed better in describing the spreading of solute plumes than the pore‐scale dispersion, as the dispersion was correlated to the aquifer permeability. Indelman (2004) developed a model of scale‐dependent macrodispersivity for an aquifer around a recharging well, in which the scale effect referred to that the macrodispersivity increases with the spatial scales, a phenomenon widely observed in experimental data. For instance, the dispersivities obtained in the laboratory‐scale tests are often much smaller than the ones obtained in field‐scale tests.…”

Section: Problem Statement and Development Of New Modelmentioning

confidence: 99%

“…Such conclusions could also be observed in Figure 5 of Hansen et al (2016). As solute transport in a heterogeneous aquifer was commonly considered as dominated by large‐scale advection, the pore‐scale dispersion was sometimes neglected in calculation the plume spatial moments, as can be seen, for instance, in Indelman (2004) and Dagan and Indelman (1999). However, Fiori (1998) pointed out that the impact of the pore‐scale dispersion may be significant, and should not be ignored in general.…”

Section: Problem Statement and Development Of New Modelmentioning

confidence: 99%

New Simplified Models of Single‐Well Push‐Pull Tests With Mixing Effect

Shi

Wang

Zhan

2020

Water Resources Research

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When using single‐well push‐pull (SWPP) tests to characterize in situ aquifer related to reactive transport, approximate analytical solutions were preferred to determine the aquifer dispersivity and other parameters, due to its computational efficiency. Simplified models were proposed in this study to estimate the retardation factor for a SWPP test with a reactive tracer, where the dispersivity had to be determined firstly using a SWPP test with a conservative tracer. Here, we find that previous models associated with SWPP tests contain an untested assumption when dealing with solute transport in the wellbore, probably causing great errors when interpreting the test data. This assumption states that the wellbore mixing effect is negligible in both injection and extraction phases, where the mixing effect refers to the mixing process between the native wellbore water and solute introduced into the wellbore. In this study, new approximate analytical solutions of the SWPP test are proposed for a fully penetrating well and a point‐source well by specifically considering the wellbore mixing effect. The new models of this study are tested by semianalytical solutions in Laplace domain and finite difference solutions. Results indicate that the new models perform substantially better than previous models of ignoring the wellbore mixing effect, which should not be overlooked when interpreting SWPP test data.

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“…Such an approach facilitates the study of particular (i.e. local) phenomena, which often influence flow and transport at the larger (macro) scales (Indelman 2004;Severino 2011b;Severino et al 2011;Severino and De Bartolo 2015;Broyda et al 2010). This highlights the importance of the intermediate scale (Severino et al 2010;Fallico et al 2018).…”

Section: Introductionmentioning

confidence: 98%

Experimental investigation to characterize simple versus multi scaling analysis of hydraulic conductivity at a mesoscale

Brunetti

Bartolo

Fallico

et al. 2021

Stoch Environ Res Risk Assess

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The spatial variability of the aquifers' hydraulic properties can be satisfactorily described by means of scaling laws. The latter enable one to relate the small (typically laboratory) scale to the larger (typically formation/regional) ones, therefore leading de facto to an upscaling procedure. In the present study, we are concerned with the spatial variability of the hydraulic conductivity K into a strongly heterogeneous porous formation. A strategy, allowing one to identify correctly the single/multiple scaling of K, is applied for the first time to a large caisson, where the medium was packed. In particular, we show how to identify the various scaling ranges with special emphasis on the determination of the related cut-off limits. Finally, we illustrate how the heterogeneity enhances with the increasing scale of observation, by identifying the proper law accounting for the transition from the laboratory to the field scale. Results of the present study are of paramount utility for the proper design of pumping tests in formations where the degree of spatial variability of the hydraulic conductivity does not allow regarding them as “weakly heterogeneous”, as well as for the study of dispersion mechanisms.

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On macrodispersion in uniform ? radial divergent flow through weakly heterogeneous aquifers

Cited by 9 publications

References 22 publications

Macrodispersion and Recovery of Solutes and Heat in Heterogeneous Aquifers

Macrodispersion and Recovery of Solutes and Heat in Heterogeneous Aquifers

New Simplified Models of Single‐Well Push‐Pull Tests With Mixing Effect

Experimental investigation to characterize simple versus multi scaling analysis of hydraulic conductivity at a mesoscale

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