Estimating of Non-Darcy Flow Coefficient in Artificial Porous Media

Elsanoose, Abadelhalim; Abobaker, Ekhwaiter; Khan, Faisal; Rahman, Mohammad Azizur; Aborig, Amer; Butt, Stephen

doi:10.3390/en15031197

Cited by 11 publications

(8 citation statements)

References 39 publications

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“…Darcy's law states that the pressure gradient is linearly proportional to the fluid velocity in porous media. However, previous research has revealed that Darcy's law is effective only within a certain range [2][3][4][5]. When the samples contain clay, their seepage behavior deviates from Darcy's law at low or high hydraulic gradients [6].…”

Section: Introductionmentioning

confidence: 93%

Effects of Clay Content on Non-Linear Seepage Behaviors in the Sand–Clay Porous Media Based on Low-Field Nuclear Magnetic Resonance

Yin,

Cui,

Zhang

et al. 2024

Water

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Clay is widely encountered in nature and directly influences seepage behaviors, exerting a crucial impact on engineering applications. Under low hydraulic gradients, seepage behaviors have been observed to deviate from Darcy’s law, displaying a non-linear trend. However, the impacts of clay content on non-linear seepage behavior and its pore-scale mechanisms to date remain unclear. In this study, constant-head seepage experiments were conducted in sand–clay porous media under various hydraulic gradients. Low-field nuclear magnetic resonance (LF-NMR) technology was utilized to monitor the bound-water and free-water contents of sand–clay porous media under different seepage states. The results show a threshold hydraulic gradient (i0) below which there is no flow, and a critical hydraulic gradient (icr) below which the relationship between the hydraulic gradient (i) and seepage velocity (v) is non-linear. Both hydraulic gradients increased with clay content. Moreover, the transformation between bound water and free water was observed during the seepage-state evolution (no flow to pre-Darcy or pre-Darcy to Darcy). As the hydraulic gradient reached the i0, the pore water pressure gradually overcame the adsorption force of the bound-water film, reducing the thickness of the bound-water film, and causing non-linear seepage behavior. When i0 < i < icr, the enlarging hydraulic gradient triggers the thinning of bound water and enhances the fluidity of pore water. Moreover, the increasing clay content augments the bound-water content required for the seepage state’s change.

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Section: Introductionmentioning

confidence: 93%

Effects of Clay Content on Non-Linear Seepage Behaviors in the Sand–Clay Porous Media Based on Low-Field Nuclear Magnetic Resonance

Yin,

Cui,

Zhang

et al. 2024

Water

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“…This paper used water as a working fluid, and non-Darcy's coefficient was calculated in the seven artificial samples. In a previous work, the air was used [41], and the non-Darcy flow was characterized, as well as the calculation of the non-Darcy coefficient. In general, the non-Darcy coefficient β is determined based on the following expression:…”

Section: Correlation Of Non-darcy Coefficientmentioning

confidence: 99%

Characterization of a Non-Darcy Flow and Development of New Correlation of NON-Darcy Coefficient

Elsanoose

Abobaker²,

Khan³

et al. 2022

Energies

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Darcy’s law has long been used to describe the flow in porous media. Despite the progress that took place in oil production industry research, it became clear that there is a loss of pressure, especially in the area near the wellbore region, where Darcy’s law is not applicable. For this reason, Forchheimer presented his equation in 1910, where he added a new term to Darcy’s law dealing with pressure loss due to inertial forces by introducing a new term, the coefficient, into the equation. This paper presents a study of fluid flow through porous media, where water was used as a working fluid. Furthermore, the characteristics of the non-Darcy flow were analyzed by presenting the corresponding pressure and velocity gradient curves for each pressure. Extensive analysis indicates that many of the correlations available in the literature either have defective units or are the product of a small number of experiments. In this study, we benefit from relatively large samples, the radial flow, and the perforation in the middle of the samples. The properties of the samples were measured using mercury intrusion porosimetry. It was found that there is a direct relationship between the porosity and the grain’s size; the greater the size of the grains, the greater the porosity, and vice versa. The non-Darcy coefficient term, β, is found to be inversely proportional to the porosity and permeability. In a previous study, the β was investigated for compressible flow scenarios; however, this study calculated it for an incompressible flow. Finally, by analyzing the β values of both studies, we could deduce new novelty correlations for the β coefficient term, where the permeability, porosity, and tortuosity are included.

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“…Phipps et al [27] proposed a new method to identify the inertial coefficient in terms of the Forchheimer equation. Elsanoose et al [28] used the Radial Flow Facility (RFC) to study Non-Darcy Flow and determined the inertial coefficient. However, above studies unexceptionally discuss the flow rate characteristics under positive pressure condition.…”

Section: Introductionmentioning

confidence: 99%

Determination of the Flow Rate Characteristics of Porous Media Under the Positive Pressure and Vacuum

Wang

et al. 2023

Preprint

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Estimating of Non-Darcy Flow Coefficient in Artificial Porous Media

Cited by 11 publications

References 39 publications

Effects of Clay Content on Non-Linear Seepage Behaviors in the Sand–Clay Porous Media Based on Low-Field Nuclear Magnetic Resonance

Effects of Clay Content on Non-Linear Seepage Behaviors in the Sand–Clay Porous Media Based on Low-Field Nuclear Magnetic Resonance

Characterization of a Non-Darcy Flow and Development of New Correlation of NON-Darcy Coefficient

Determination of the Flow Rate Characteristics of Porous Media Under the Positive Pressure and Vacuum

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