Yield stress fluids method to determine the pore size distribution of a porous medium

Oukhlef, Aimad; Champmartin, Stéphane; Ambari, Abdelhak

doi:10.1016/j.jnnfm.2013.12.004

Cited by 14 publications

(13 citation statements)

References 24 publications

(28 reference statements)

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“…One of these is the experimental work of Chase and Dachavijit (2005), which uses a packed column containing spherical glass beads, where it is found that a scaled Buckingham-Reiner equation may be used to model at least this type of particulate porous medium. A second is the analysis of Oukhlev et al (2014) which shows how a Bingham fluid may be used to determine the pore size distribution within a medium. Their method was tested successfully on a medium consisting of pores which satisfy a Gaussian distribution.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

Nash

Rees

2017

Transp Porous Med

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The Buckingham-Reiner models for the one-dimensional flow of a Bingham fluid along a uniform pipe or channel are well-known, but are modified here to cover much more general one-dimensional configurations. These include selections of channels with different widths, and five different probability density functions describing distributions of channel widths. It is found that the manner in which breakthrough occurs at the threshold pressure gradient depends very strongly on the type of distribution of pores and that a pseudo-threshold pressure gradient, which might be inferred from measurements of flow at relatively high pressure gradients, may be more than twice the magnitude of the true threshold gradient.

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Section: Introductionmentioning

confidence: 99%

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

Nash

Rees

2017

Transp Porous Med

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“…It has been shown that one can therefore obtain a representative pore radius distribution of a given porous medium from experimental data relating flow rate to pressure gradient Q(∇ P) (Ambari et al 1990). The experimental feasibility of this method (called yield stress method or YSM) was investigated by several authors using various YSF and porous media (Malvault 2013;Rodriguez de Castro et al 2014;Oukhlef et al 2014;Rodriguez de Castro et al 2016). Moreover, the bundle of capillaries model is often used to exploit data coming from capillary pressure measurements using mercury injection experiments.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Yield Stress Fluid Flow in Capillary Bundles: Influence of the Form and the Axial Variation in the Cross Section

Ahmadi

Omari

2017

Transp Porous Med

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In this paper, we investigate possible improvements that can be made to the bundle of capillaries model in order to better represent the flow of yield stress fluids through porous media. This was examined by performing extensive and progressive numerical simulations and by introducing the non-circularity of channels' cross section and/or its variability along the channels' axis. It is shown that if only the non-circularity of channels' cross section is taken into account, a moderate influence is observed on both critical pressure gradient for the flow onset and the flow rate/pressure gradient Q(∇ P) relationship. However, the axial variation in capillaries' cross section has proved to be more impacting the computed flow rate/pressure gradient data. We show hence that when available pore throat and pore body size distributions are used to construct the bundle of axially varying capillaries, the obtained Q(∇ P) data do fit well experimental results corresponding to the flow of a Bingham-like fluid through a bed of randomly packed mono-sized spheres.

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“…To study the nature of the airproofing pressure and pneumatically convert it to the effective stress in the mechanism, it should be considered from the surface tension of the water in the porous medium [15]. A capillary bundle model is very commonly used to study the movement of water in the porous medium [16,17]. Pore connectivity in the media is observed as a capillary in the model [18].…”

Section: Physical Meaning Of the Airproofing Pressure Of The Filtermentioning

confidence: 99%

Test Study on Airtight Capability of Filter Cakes for Slurry Shield and Its Application in a Case

Min

Zhu

Xia

et al. 2014

Advances in Materials Science and Engineering

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To learn the airproof capacity of filter cakes as opening chambers under air pressure, a series of tests were carried out. The variations of discharged water with air pressure and time were observed, and the relationship between airproof capacity of filter cakes and surrounding air pressure was analysed. The test results indicated that there were three stages as compressed air acting on filter cakes: completely not infiltration, a very small amount of infiltration, and penetration leakage. The certain air pressure between the first and second stages was called the airproofing value of filter cake. And a capillary bundle model was used to explain the mechanism of air tightness of filter cakes. In Nanjing Yangtze River Tunnel, a 5 cm thickness filter cake was formed in gravel sand, and its airproofing value was a little lower than 0.12 MPa. The air pressure used as opening chamber should be equal to the summation of water pressure in sand and airproofing value of filter cake. While the air pressure is larger than the summation, the filter cake would be gas permeable. The slurry formulation and airproofing value of filter cakes obtained in the tests were applied successfully in Nanjing Yangtze River Tunnel.

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Yield stress fluids method to determine the pore size distribution of a porous medium

Cited by 14 publications

References 24 publications

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

Numerical Simulation of Yield Stress Fluid Flow in Capillary Bundles: Influence of the Form and the Axial Variation in the Cross Section

Test Study on Airtight Capability of Filter Cakes for Slurry Shield and Its Application in a Case

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