Prediction of interfacial areas during imbibition in simple porous media

Gladkikh, Mikhail; Bryant, Steven L.

doi:10.1016/s0309-1708(03)00034-4

Cited by 41 publications

(32 citation statements)

References 29 publications

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“…Theoretical work Gray 1990, 1993a,b), numerical modeling (JoekarNiasar et al 2008(JoekarNiasar et al , 2009Niessner and Hassanizadeh 2008), and experiments (Culligan et al 2004;Chen et al 2007) have demonstrated that hysteresis (almost) disappears if the specific fluid-fluid interfacial area is introduced as a new parameter. This can be considered as an established view (Oostrom et al 2001;Dalla et al 2002;Gladkikh and Bryant 2003;Culligan et al 2006;Seth and Morrow 2007). …”

Section: Known Limitations Of the Two-phase Darcy Approachmentioning

confidence: 99%

Comparison of Two-Phase Darcy’s Law with a Thermodynamically Consistent Approach

2011

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The extended Darcy's law is a commonly used equation for the description of immiscible two-phase flow in porous media. It dates back to the 1940s and is essentially an empirical relationship. According to the extended Darcy's law, pressure gradient and gravity are the only driving forces for the flow of each fluid. Within the last two decades, more advanced and physically based descriptions for multiphase flow in porous media have been developed. In this work, the extended Darcy's law is compared to a thermodynamically consistent approach which explicitly takes the important role of phase interfaces into account, both as entities and as parameters. In this theoretically derived approach, forces related to capillarity and interfaces appear as driving/resisting forces, in addition to the traditional terms. It turns out that the extended Darcy's law and the thermodynamically based approach are compatible if either (i) relative permeabilities are a function of saturation only, but capillary pressure is a function of saturation and specific interfacial area or (ii) relative permeabilities are a function of saturation and saturation gradients. Theoretical considerations suggest that the former alternative is only valid in case of reversible displacement while in the general case (irreversible displacement), the latter alternative is relevant. Keywords

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Section: Known Limitations Of the Two-phase Darcy Approachmentioning

confidence: 99%

Comparison of Two-Phase Darcy’s Law with a Thermodynamically Consistent Approach

2011

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“…Prior to the development of voxel-based techniques, the Delaunay tessellation (Bryant et al 1993;Thompson and Fogler 1997) or a modified Delaunay tessellation (Al-Raoush and Willson 2005a,b) was used to define both pores and network interconnectivity. Delaunay-based techniques have been used to study packed beds and natural porous media, including phenomena such as dynamic and quasi-static imbibition (Gladkikh and Bryant 2003, 2007, interfacial area (Gladkikh and Bryant 2003), drainage (Thompson and Fogler 1997), and relative permeability (Bryant and Blunt 1992). Al-Raoush et al (2003) compared pore structural properties of networks using medial-axis-based transforms versus modified Delaunay tessellation schemes on computer-generated regular and random packing of spheres.…”

Section: Image-based Network Generationmentioning

confidence: 99%

Effect of Network Structure on Characterization and Flow Modeling Using X-ray Micro-Tomography Images of Granular and Fibrous Porous Media

2011

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Image-based network modeling has become a powerful tool for modeling transport in real materials that have been imaged using X-ray computed micro-tomography (XCT) or other three-dimensional imaging techniques. Network generation is an essential part of image-based network modeling, but little quantitative work has been done to understand the influence of different network structures on modeling. We use XCT images of three different porous materials (disordered packings of spheres, sand, and cylinders) to create a series of four networks for each material. Despite originating from the same data, the networks can be made to vary over two orders of magnitude in pore density, which in turn affects network properties such as pore-size distribution and pore connectivity. Despite the orders-of-magnitude difference in pore density, single-phase permeability predictions remain remarkably consistent for a given material, even for the simplest throat conductance formulas. Detailed explanations for this beneficial attribute are given in the article; in general, it is a consequence of using physically representative network models. The capillary pressure curve generated from quasi-static drainage is more sensitive to network structure than permeability. However, using the capillary pressure curve to extract pore-size distributions gives reasonably consistent results even though the networks vary significantly. These results provide encouraging evidence that robust network modeling algorithms are not overly sensitive to the specific structure of the underlying physically representative network, which is important given the variety image-based network-generation strategies that have been developed in recent years. 123 364 P. Bhattad et al.

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“…In fact, the two-fluid interfacial area is one of the fundamental quantities -it also partly defines the driving thermodynamic force in the case of spontaneous imbibition. Many authours have addressed this question by network models and experiments on one hand or by thermodynamical considerations [106,108,255,276,294]. Again the physics at pore level is complicated by the presence of precursor films and the question of how entrapped volumes of the nonwetting fluid behave.…”

Section: Dynamical Saturationmentioning

confidence: 99%

“…Thus it is a natural quantity to compute, and consider [108]. A related problem is the presence of initial saturations [141], and some network simulations have been done to address exactly this question [106,255,276].…”

Section: F Microscopic Simulationsmentioning

confidence: 99%

Imbibition in disordered media

Alava

Dubé

Rost

2004

Advances in Physics

282

333

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The physics of liquids in porous media gives rise to many interesting phenomena, including imbibition where a viscous fluid displaces a less viscous one. Here we discuss the theoretical and experimental progress made in recent years in this field. The emphasis is on an interfacial description, akin to the focus of a statistical physics approach. Coarse-grained equations of motion have been recently presented in the literature. These contain terms that take into account the pertinent features of imbibition: non-locality and the quenched noise that arises from the random environment, fluctuations of the fluid flow and capillary forces. The theoretical progress has highlighted the presence of intrinsic length-scales that invalidate scale invariance often assumed to be present in kinetic roughening processes such as that of a two-phase boundary in liquid penetration. Another important fact is that the macroscopic fluid flow, the kinetic roughening properties, and the effective noise in the problem are all coupled. Many possible deviations from simple scaling behaviour exist, and we outline the experimental evidence. Finally, prospects for further work, both theoretical and experimental, are discussed.

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Prediction of interfacial areas during imbibition in simple porous media

Cited by 41 publications

References 29 publications

Comparison of Two-Phase Darcy’s Law with a Thermodynamically Consistent Approach

Comparison of Two-Phase Darcy’s Law with a Thermodynamically Consistent Approach

Effect of Network Structure on Characterization and Flow Modeling Using X-ray Micro-Tomography Images of Granular and Fibrous Porous Media

Imbibition in disordered media

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