Unsaturated properties for non-Darcian water flow in clay

Liu, Hui‐Hai; Li, Lianchong; Birkhölzer, Jens

doi:10.1016/j.jhydrol.2012.02.017

Cited by 33 publications

(23 citation statements)

References 17 publications

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“…Cui et al (2008) reported non-Darcian behavior for a range of observed hydraulic gradients under unsaturated conditions. Liu et al (2012) developed a constitutive model for unsaturated flow when water can be considered as a power-law (non-Newtonian) fluid; the model is consistent with the data set of Cui et al (2008). Note that Liu et al (2012) probably were the first to report relative-permeability formulations for power-law fluids.…”

Section: Introductionmentioning

confidence: 74%

“…Liu et al (2012) developed a constitutive model for unsaturated flow when water can be considered as a power-law (non-Newtonian) fluid; the model is consistent with the data set of Cui et al (2008). Note that Liu et al (2012) probably were the first to report relative-permeability formulations for power-law fluids. Power-law fluids are common in the processes of enhanced oil recovery (EOR), such as chemical flooding.…”

Section: Introductionmentioning

confidence: 74%

“…Power-law fluids are common in the processes of enhanced oil recovery (EOR), such as chemical flooding. Thus, the work of Liu et al (2012) could be applicable to modeling related EOR processes as well. As an effort to develop a general framework for modeling non-Darcian flow in lowpermeability media, Liu and Birkholzer (2013) reported a new relationship between water flux and hydraulic gradient for both saturated and unsaturated water flow, and also developed an empirical formulation to relate permeability to a parameter characterizing non-Darcian flow behavior.…”

Section: Introductionmentioning

confidence: 99%

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Report on Hydrologic Flow in Low-Permeability Media

Liu¹,

Birkhölzer²

2013

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Section: Introductionmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

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Report on Hydrologic Flow in Low-Permeability Media

Liu¹,

Birkhölzer²

2013

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“…However, many evidences from the laboratory and field experiments show that this linear law may be invalid in some situations, especially when the groundwater flow velocity is sufficiently high or sufficiently low, where non-Darcian flow prevails (Basak, 1977;Bordier and Zimmer, 2000;Engelund, 1953;Forchheimer, 1901;Izbash, 1931;Liu et al, 2012;Soni et al, 1978).…”

Section: Introductionmentioning

confidence: 99%

Forchheimer flow to a well-considering time-dependent critical radius

Wang

Zhan

Tang

2014

Hydrol. Earth Syst. Sci.

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Abstract. Previous studies on the non-Darcian flow into a pumping well assumed that critical radius (R CD ) was a constant or infinity, where R CD represents the location of the interface between the non-Darcian flow region and Darcian flow region. In this study, a two-region model considering time-dependent R CD was established, where the non-Darcian flow was described by the Forchheimer equation. A new iteration method was proposed to estimate R CD based on the finite-difference method. The results showed that R CD increased with time until reaching the quasi steady-state flow, and the asymptotic value of R CD only depended on the critical specific discharge beyond which flow became nonDarcian. A larger inertial force would reduce the change rate of R CD with time, and resulted in a smaller R CD at a specific time during the transient flow. The difference between the new solution and previous solutions were obvious in the early pumping stage. The new solution agreed very well with the solution of the previous two-region model with a constant R CD under quasi steady flow. It agreed with the solution of the fully Darcian flow model in the Darcian flow region.

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“…Cui et al (2008) reported non-Darcian behavior for a range of observed hydraulic gradients under unsaturated conditions. Liu et al (2012) developed a constitutive model for unsaturated flow when water can be considered as a power-law (non-Newtonian) fluid. The model is consistent with the data set of Cui et al (2008).…”

Section: Introductionmentioning

confidence: 99%

On the relationship between water flux and hydraulic gradient for unsaturated and saturated clay

Liu

Birkhölzer

2012

Journal of Hydrology

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TitleOn the relationship between water-flux and hydraulic gradient for unsaturated and saturated clay AbstractExperimental results indicate that traditional form of Darcy's law is not adequate for describing water flow processes in clay media because the observed relationship between water flux and hydraulic gradient can be highly non-linear. To capture this non-Darcian flow behavior, we proposed a new relationship between water flux and hydraulic gradient by generalizing the currently existing relationships. The new relationship is shown to be consistent with experimental observations for both saturated and unsaturated conditions.In this paper, we also developed an empirical relationship between permeability and threshold hydraulic gradient, an important measure of non-Darcian behavior. The latter relationship is practically useful because it can reduce the number of parameters whose values need to be determined from experiment data in order to model non-Darcian behavior. However, how to incorporate impacts of temperature and electrolyte concentrations into the proposed relationships needs further research.3

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Unsaturated properties for non-Darcian water flow in clay

Abstract: Clay rock formations, and compacted clay (e.g., bentonite) used as backfill within disposal drifts, have been considered as natural and engineered barriers, respectively, for isolating high-level nuclear wastes in mined geologic repositories. Accurately modeling

Cited by 33 publications

References 17 publications

Report on Hydrologic Flow in Low-Permeability Media

Report on Hydrologic Flow in Low-Permeability Media

Forchheimer flow to a well-considering time-dependent critical radius

On the relationship between water flux and hydraulic gradient for unsaturated and saturated clay

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