Imbibition with swelling: Capillary rise in thin deformable porous media

Kvick, Mathias; Martinez, D. Mark; Hewitt, Duncan R.; Balmforth, N. J.

doi:10.1103/physrevfluids.2.074001

Cited by 26 publications

(26 citation statements)

References 23 publications

(47 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recent work has, however, shown that a viscous term is crucially important in rapid mechanical dewatering tests on cellulose fibre suspensions at relatively large solid fractions [16]. Similar conclusions have been drawn from experiments involving the deformation of hydrogel spheres suspended in water [17,18] or during capillary imbibition of water in paper sheets [19].…”

Section: Introductionsupporting

confidence: 54%

Flow-driven compaction of a fibrous porous medium

et al. 2019

Self Cite

View full text Add to dashboard Cite

A combined theoretical and experimental study is presented for the flow-induced compaction of a onedimensional fibrous porous medium near its gel point for deformation at low and high rates. The theory is based on a two-phase model in which the permeability is a function of local solid fraction, and the deformation of the solid is resisted by both a compressive yield stress and a rate-dependent bulk viscosity. All three material properties are parameterized and calibrated for cellulose fibres using sedimentation, permeation and filtration experiments. It is shown that the incorporation of rate-dependence in the solid stress significantly improves the agreement between theory and experiment when the drainage flow is relatively rapid. The model is extended to rates outside the range where it was calibrated to understand the dynamics of a standard test for pulp suspensions: the Canadian Standard Freeness test. The model adequately captures all of the experimental findings, including the score of the freeness test, which is found to be sensitively controlled by the bulk solid viscosity and to a lesser degree by the permeability law, but depends only weakly on the compressive yield stress.

show abstract

Section: Introductionsupporting

confidence: 54%

Flow-driven compaction of a fibrous porous medium

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…where P is the solid network's effective (compressive) stress. As suggested previously, 15,16,27,28,32 we take the latter to be given by the viscoplastic constitutive law,…”

Section: Two-phase Modelingmentioning

confidence: 99%

“…Moreover, a number of recent studies have suggested that the solid stress must be rate-dependent in order to reproduce the observed dewatering and flow-induced compaction of pulp suspensions and capillary rise through paper sheets. 15,27,28 These studies have accounted for this rate dependence by extending the description of the solid stress to include an effective bulk viscosity of the network, with some precedence existing in earlier work, 16,26,[29][30][31][32] or by analogy with the generic shear viscosity expected for a two-phase medium 33 (alternative perspectives and models also exist 34 ). Thus, pulp suspensions appear to require an unconventional viscoplastic solid stress.…”

Section: Introductionmentioning

confidence: 99%

On two‐phase modeling of dewatering pulp suspensions

et al. 2021

Self Cite

View full text Add to dashboard Cite

An experimental study of the dewatering of wood-pulp fiber suspensions by uniaxial compression is presented, to rationalize their dewatering dynamics within a twophase framework. Twenty-seven pulp suspensions are examined, encompassing materials with different origins, preparation methodologies, and secondary treatments. For each suspension in this library, the network permeability and compressive yield stress are calibrated at low rates of dewatering. Faster compressions are then used to verify that a solid bulk viscosity is essential to match two-phase model predictions with experimental observations, and to parameterize its magnitude. By comparing the results with a suspension of nylon fibers, we demonstrate that none of the wood-pulp suspensions behave like an idealized fibrous porous medium. Nevertheless, the properties of pulp fiber networks can be reconciled within a two-phase framework, and comparisons made between different wood-pulp suspensions and between wood-pulp and nylon fibers, by appealing to potential microstructural origins of their macroscopic behavior.

show abstract

“…The characterization of the matrix properties, in particular r 0 , relies on volumetric nitrogen sorption isotherms performed at 77 K. [48] The relatively low porosity along with the high elastic modulus of the silica glass renders any liquid-uptake-induced mechanical deformation negligible [66], in the sub-percent range. Any impact of swelling or contraction, which in principle could affect the imbibition process significantly [67] can thus be ignored.…”

Section: Porous Glass Substratesmentioning

confidence: 99%

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Gruener

Huber

2018

Transp Porous Med

View full text Add to dashboard Cite

We present gravimetrical and optical imaging experiments on the capillarity-driven imbibition of silicone oils in monolithic silica glasses traversed by 3D networks of pores (mesoporous Vycor glass with 6.5 nm or 10 nm pore diameters). As evidenced by a robust square-root-of-time Lucas-Washburn (L-W) filling kinetics, the capillary rise is governed by a balance of capillarity and viscous drag forces in the absence of inertia and gravitational effects over the entire experimental times studied, ranging from a few seconds up to 10 days. A video on the infiltration process corroborates a collective pore filling as well as pronounced imbibition front broadening resulting from the capillarity and permeability disorder, typical of Vycor glasses. The transport process is analyzed within a Darcy scale description, considering a generalized pre-factor of the L-W law, termed Lucas-Washburn-Darcy imbibition ability. It assumes a Hagen-Poiseuille velocity profile in the pores and depends on the porosity, the mean pore diameter, the tortuosity and the velocity slip length and thus on the effective hydraulic pore diameter. For both matrices a reduced imbibition speed and thus reduced imbibition ability, compared to the one assuming the nominal pore diameter, bulk fluidity and bulk capillarity, can be quantitatively traced to an immobile, pore-wall adsorbed boundary layer of 1.4 nm thickness. Presumably, it consists of a monolayer of water molecules adsorbed on the hydrophilic pore walls covered by a monolayer of flat-laying silicone oil molecules. Our study highlights the importance of immobile nanoscopic boundary layers on the flow in tight oil reservoirs as well as the validity of the Darcy scale description for transport in mesoporous media.

show abstract

Imbibition with swelling: Capillary rise in thin deformable porous media

Cited by 26 publications

References 23 publications

Flow-driven compaction of a fibrous porous medium

Flow-driven compaction of a fibrous porous medium

On two‐phase modeling of dewatering pulp suspensions

Capillarity-Driven Oil Flow in Nanopores: Darcy Scale Analysis of Lucas–Washburn Imbibition Dynamics

Contact Info

Product

Resources

About