Solute transport in a filled single fracture under non-Darcian flow

Qian, Jiazhong; Chen, Z.; Zhan, Hongbin; Luo, Shaohe

doi:10.1016/j.ijrmms.2010.09.009

Cited by 64 publications

(40 citation statements)

References 41 publications

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“…The values of the dispersion coefficient are in orders of magnitude of decimeters, which are comparable with the values obtained for Darcian condition (Qian et al, 2011), and the dispersion values of MIM are much lower than those of ENM.…”

Section: Figure 10supporting

confidence: 84%

“…In the well-controlled laboratory tracer tests carried out by Qian et al (2011) a was MIM proven to fit both peak and tails of the observed BTCs better than the classical ADE model.…”

Section: Cherubini Et Al: On the Reliability Of Analytical Modelsmentioning

confidence: 99%

“…In contrast, the stratified model provides generally satisfactory matches to the data (even though it cannot explain the longtime tailing adequately), while the CTRW model captures the full evolution of the long tailing displayed by the BTCs. Qian et al (2011) experimentally studied solute transport in a single fracture (SF) under non-Darcian flow conditions which was found to closely follow the Forchheimer equation.…”

Section: Cherubini Et Al: On the Reliability Of Analytical Modelsmentioning

confidence: 99%

“…The dispersive effect is therefore partially taken into account by the mass transfer between the mobile zone and the immobile zone (Qian et al, 2011;Gao et al, 2009). …”

Section: Figure 10mentioning

confidence: 99%

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On the reliability of analytical models to predict solute transport in a fracture network

Cherubini

Giasi

Pastore

2014

Hydrol. Earth Syst. Sci.

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Abstract. In hydrogeology, the application of reliable tracer transport model approaches is a key issue to derive the hydrodynamic properties of aquifers.Laboratory-and field-scale tracer dispersion breakthrough curves (BTC) in fractured media are notorious for exhibiting early time arrivals and late time tailing that are not captured by the classical advection-dispersion equation (ADE). These "non-Fickian" features are proven to be better explained by a mobile-immobile (MIM) approach. In this conceptualization the fractured rock system is schematized as a continuous medium in which the liquid phase is separated into flowing and stagnant regions.The present study compares the performances and reliabilities of the classical MIM and the explicit network model (ENM), taking expressly into account the network geometry for describing tracer transport behavior in a fractured sample at bench scale. Though ENM shows better fitting results than MIM, the latter remains still valid as it proves to describe the observed curves quite well.The results show that the presence of nonlinear flow plays an important role in the behavior of solute transport. First, the distribution of solute according to different pathways is not constant, but it is related to the flow rate. Second, nonlinear flow influences advection in that it leads to a delay in solute transport respect to the linear flow assumption. However, nonlinear flow is not shown to be related with dispersion. The experimental results show that in the study case the geometrical dispersion dominates the Taylor dispersion. However, the interpretation with the ENM shows a weak transitional regime from geometrical dispersion to Taylor dispersion for high flow rates. Incorporating the description of the flow paths in the analytical modeling has proven to better fit the curves and to give a more robust interpretation of the solute transport.

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Section: Figure 10supporting

confidence: 84%

“…In the well-controlled laboratory tracer tests carried out by Qian et al (2011) a was MIM proven to fit both peak and tails of the observed BTCs better than the classical ADE model.…”

Section: Cherubini Et Al: On the Reliability Of Analytical Modelsmentioning

confidence: 99%

Section: Cherubini Et Al: On the Reliability Of Analytical Modelsmentioning

confidence: 99%

“…The dispersive effect is therefore partially taken into account by the mass transfer between the mobile zone and the immobile zone (Qian et al, 2011;Gao et al, 2009). …”

Section: Figure 10mentioning

confidence: 99%

See 2 more Smart Citations

On the reliability of analytical models to predict solute transport in a fracture network

Cherubini

Giasi

Pastore

2014

Hydrol. Earth Syst. Sci.

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“…Generally the model used to describe fluid flow in fractured media is LCL, which adapts Darcy's law [35]: When a nonlinear flow feature occurs, the flow models commonly used to represent non-Darcian flow behavior are the Forchheimer law and the Izbash law. The former includes a quadratic term of velocity to represent the inertial effect [36,37]:…”

Section: Flow Modelmentioning

confidence: 99%

Effect of Roughness on Conservative Solute Transport through Synthetic Rough Single Fractures

Chen

Zhan

Zhao

et al. 2017

Water

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Understanding solute transport in fractured rocks is of particular importance in many applications. Aperture values ranging from 4.7 to 8.7 mm and Reynolds number (R e ) values at 9.38~1743.8 were set for investigating fluid flow through synthetic horizontal single smooth and rough fractures. The Brilliant Blue FCF dye was chosen as the tracer to visualize the transport process. This paper focuses on the dispersion process in rough single fractures under non-Darcian flow conditions. Non-Darcian flow existed in both smooth and rough single fractures and the average flow velocity-hydraulic gradient (V-J) relationships were best described by the Forchheimer equation. The main objectives were to check the existing flow and transport models and to study possible correlations between fitting parameters and heterogeneities. The classical advection dispersion equation (ADE) model failed to capture the long-tailing of breakthrough curves (BTCs). Instead, the continuous time random walk (CTRW) model was better at explaining BTCs in both smooth and rough fractures, especially in capturing the long-tailing feature. The non-Darcian coefficient β c in the Forchheimer equation and the coefficient β in the CTRW model appeared to be most relevant for characterizing the heterogeneity of the rough single fractures.

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Non-Fickian transport through two-dimensional rough fractures: Assessment and prediction

Wang

Cardenas

2014

Water Resour. Res.

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Non-Fickian transport ubiquitously occurs across all scales within fractured geological media.Detailed characterization of non-Fickian transport through single fractures is thus critical for predicting the fate of solutes and other fluid-borne entities through fractured media. Our direct numerical simulations of solute transport through two-dimensional rough-walled fractures showed early arrival and heavy tailing in breakthrough curves (BTCs), which are salient characteristics of non-Fickian transport. Analyses for dispersion coefficients (D ADE ) using the standard advection-dispersion equation (ADE) led to errors which increased linearly with fracture heterogeneity. Estimated Taylor dispersion coefficients deviated from estimated D ADE even at higher Peclet numbers. Alternatively, we used continuous time random walk (CTRW) model with truncated power law transition rate probability to characterize the non-Fickian transport. CTRW modeling markedly and consistently improved fits to the BTCs relative to those fitted with ADE solutions. The degree of deviation of transport from Fickian to non-Fickian is captured by the parameter b of the truncated power law. We found that b is proportional to fracture heterogeneity. We also found that the CTRW transport velocity can be predicted based on the flow velocity. Along with the ability to predict b, this is a major step toward prediction of transport through CTRW using measurable physical properties.

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Solute transport in a filled single fracture under non-Darcian flow

Cited by 64 publications

References 41 publications

On the reliability of analytical models to predict solute transport in a fracture network

On the reliability of analytical models to predict solute transport in a fracture network

Effect of Roughness on Conservative Solute Transport through Synthetic Rough Single Fractures

Non-Fickian transport through two-dimensional rough fractures: Assessment and prediction

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