Pedotransfer functions for permeability: A computational study at pore scales

Hyman, Jeffrey D.; Smolarkiewicz, Piotr K.; Winter, Christian

doi:10.1002/wrcr.20170

Cited by 24 publications

(27 citation statements)

References 57 publications

(77 reference statements)

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“…However, the macroscopic uncertainty of microscopic pore structure greatly exceeds numerical inaccuracies in detailed representation of internal boundaries and therefore the first order approximation of a porous medium is adequate; cf. [42] for a quantitative substantiation and further discussion.…”

Section: B Computational Fluid Dynamicsmentioning

confidence: 99%

Heterogeneities of flow in stochastically generated porous media

2012

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Heterogeneous flows are observed to result from variations in the geometry and topology of pore structures within stochastically generated three dimensional porous media. A stochastic procedure generates media comprised of complex networks of connected pores. Inside each pore space, the Navier-Stokes equations are numerically integrated until steady state velocity and pressure fields are attained. The intricate pore structures exert spatially variable resistance on the fluid, and resulting velocity fields have a wide range of magnitudes and directions. Spatially non-uniform fluid fluxes are observed, resulting in principal pathways of flow through the media. In some realizations, up to 25% of the flux occurs in 5% of the pore space depending on porosity. The degree of heterogeneity in the flow is quantified over a range of porosities by tracking particle trajectories and calculating their attributes including tortuosity, length, and first passage time. A representative elementary volume is first computed so the dependence of particle based attributes on the size of the domain through which they are followed is minimal. High correlations between the dimensionless quantities of porosity and tortuosity are calculated and a logarithmic relationship is proposed. As the porosity of a medium increases the flow field becomes more uniform.

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Section: B Computational Fluid Dynamicsmentioning

confidence: 99%

Heterogeneities of flow in stochastically generated porous media

2012

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“…The synthetic generation approach employed has been shown to produce realistic pore spaces and pore space geometric observables such as porosity and SSA to be controlled through the appropriate tuning of generation parameters [30]. Virtual pore spaces generated using this method were used to investigate the influence of (a) porosity on transport properties [28]; (b) porosity and mean hydraulic radius on single-phase fluid flow permeability [31]; (c) pore wall geometry and network topology on local mixing [32]; and (d) pore size distributions on fluid velocity statistics [29], as well as to assess the way in which statistics of porosity and SSA are affected by scale [33,34].…”

Section: C)mentioning

confidence: 99%

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

Janetti

Riva

Guadagnini

2017

Water

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Abstract:We study the relative role of the complex pore space geometry and wettability of the solid matrix on the quantification of relative permeabilities of elementary cells of porous media. These constitute a key element upon which upscaling frameworks are typically grounded. In our study we focus on state immiscible two-phase flow taking place at the scale of elementary cells. Pressure-driven two-phase flow following simultaneous co-current injection of water and oil is numerically solved for a suite of regular and stochastically generated two-dimensional explicit elementary cells with fixed porosity and sharing main topological/morphological features. We show that the relative permeabilities of the randomly generated elementary cells are significantly influenced by the formation of preferential percolation paths, called principal pathways, giving rise to a strongly nonuniform distribution of fluid fluxes. These pathways are a result of the spatially variable resistance that the random pore structures exert on the fluid. The overall effect on relative permeabilities of the diverse organization of principal pathways, as driven by a given random realization at the scale of the elementary cell, is significantly larger than that of the wettability of the host rock. In contrast to what can be observed for the random cells analyzed, the relative permeabilities of regular cells display a clear trend with contact angle at the investigated scale.

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“…The options for the generation of asphalt domains 10 range from simple solutions based on 2D circumferences, to more complex models that imply the use of 3D rotated ellipsoids: the 2D option is clearly the less realistic, while the 3D one requires more powerful computers to be run, thus, the choice between them depends on the final use of the simulations. The existing methods used to generate asphalt models from a particles assemblage 15 usually rely on physical principles, such as inter-particle friction, contact forces, compaction energy, or drop and roll mechanisms [3,4]. Moreover, models based on statistical principles such as Monte Carlo methods can also be used [4].…”

Section: Introductionmentioning

confidence: 99%

“…This could be avoided by shaping directly the pore structure, as done in other studies [14,15]. However, the theoretical concepts used in [14] and [15] are more complex than those used in the algorithm developed here, which was studied to simplify the approach to the computational generation of porous media.…”

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confidence: 99%

Generation of virtual asphalt mixture porosity for computational modelling

2015

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. These elements are then grown by mimicking the biological mechanism called contact inhibition until a target air voids content (AVC), chosen by the user, is met. In addition, multiple 2D domains can be converted to 3D and combined to generate a multi-layered realistic representation of the porosity present in asphalt mixtures. In this paper, the working mechanism of the algorithm is described and its efficiency is assessed. Moreover, the validity of the results is discussed, and virtual domains, in both 2 and 3 dimensions, are compared with real CT scans in order to show the efficacy of this approach. It was found that the virtual representations of the asphalt mixture porosity show realistic characteristics in terms of air voids content and that the air voids size distribution is consistent with that of real specimens.

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Pedotransfer functions for permeability: A computational study at pore scales

Cited by 24 publications

References 57 publications

Heterogeneities of flow in stochastically generated porous media

Heterogeneities of flow in stochastically generated porous media

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

Generation of virtual asphalt mixture porosity for computational modelling

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