Effect of Network Topology on Relative Permeability

Arns, Ji‐Youn; Robins, Vanessa; Sheppard, Adrian; Sok, Robert; Pinczewski, W.V.; Knackstedt, Mark

doi:10.1023/b:tipm.0000007252.68488.43

Cited by 94 publications

(65 citation statements)

References 42 publications

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“…It is worth mentioning that, after elimination process, the connection matrix is no longer centrosymmetric and it is only a symmetric sparse matrix. There are many ways to eliminate some of bonds (see e.g., Arns et al 2004). In general, one may follow a random or a regular elimination procedure.…”

Section: Elimination Processmentioning

confidence: 99%

“…However, since the random network is a subset of a regular network (e.g., the cubic lattice network), sites are only connected to their nearest neighbors and the network contains no long bonds. Arns et al (2004) considered the effect of disordered topology on relative permeability. They generated diluted networks with a disordered topology and z = 4, where the positions of the pore centers of the sample were preserved during the network construction.…”

Section: Isolated Clusters and Dead-end Bondsmentioning

confidence: 99%

“…There are some studies showing the equivalence of regular and disordered systems (e.g., Arns et al 2004;Jerauld et al 1984) with same coordination number distribution. This formally justifies application of work on regular lattices to real porous media.…”

mentioning

confidence: 99%

“…Arns et al (2004) did comprehensive study of the effect of network topology on drainage relative permeability. They considered the topological properties of disordered lattice (rock network) derived from a suite of topological images of Fontainbleau sandstone (z = 3.3−3.8) which displayed a broad distribution of coordination number (Lindquist et al 2000).…”

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confidence: 99%

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A New Method for Generating Pore-Network Models of Porous Media

2009

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In this study, we have developed a new method to generate a multi-directional pore network for representing a porous medium. The method is based on a regular cubic lattice network, which has two elements: pore bodies located at the regular lattice points and pore throats connecting the pore bodies. One of the main features of our network is that pore throats can be oriented in 13 different directions, allowing a maximum coordination number of 26 that is possible in a regular lattice in 3D space. The coordination number of pore bodies ranges from 0 to 26, with a pre-specified average value for the whole network. We have applied this method to reconstruct real sandstone and granular sand samples through utilizing information on their coordination number distributions. Good agreement was found between simulation results and observation data on coordination number distribution and other network properties, such as number of pore bodies and pore throats and average coordination number. Our method can be especially useful in studying the effect of structure and coordination number distribution of pore networks on transport and multiphase flow in porous media systems.

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Section: Elimination Processmentioning

confidence: 99%

Section: Isolated Clusters and Dead-end Bondsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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A New Method for Generating Pore-Network Models of Porous Media

2009

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“…Blunt et al (2002) suggested that if complex pore geometries can be adequately represented, then pore scale models can be developed into predictive models. Arns et al (2004) who performed a comprehensive study of effect of network topology on relative permeability showed that matching the average coordination number of a network is not sufficient to predict relative permeability. However, reasonable relative permeability values can be obtain by matching coordination number distribution.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Dynamic Two-Phase Flow During Multistep Air Sparging

Gao

Meegoda

2012

Transp Porous Med

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Air sparging is an in situ soil/groundwater remediation technology, which involves the injection of pressurized air through air sparging well below the zone of contamination. To investigate the rate-dependent flow properties during multistep air sparging, a rule-based dynamic two-phase flow model was developed and applied to a 3D pore network which is employed to characterize the void structure of porous media. The simulated dynamic two-phase flow at the pore scale or microscale was translated into functional relationships at the continuum-scale of capillary pressure-saturation (P c -S) and relative permeabilitysaturation (K r -S) relationships. A significant contribution from the air injection pressure step and duration time of each air injection pressure on both of the above relationships was observed during the multistep air sparging tests. It is observed from the simulation that at a given matric potential, larger amount of water is retained during transient flow than that during steady flow. Shorter the duration of each air injection pressure step, there is higher fraction of retained water. The relative air/water permeability values are also greatly affected by the pressure step. With large air injection pressure step, the air/water relative permeability is much higher than that with a smaller air injection pressure step at the same water saturation level. However, the impact of pressure step on relative permeability is not consistent for flows with different capillary numbers (N ca ). When compared with relative air permeability, relative water permeability has a higher scatter. It was further observed that the dynamic effects on the relative permeability curve are more apparent for networks with larger pore sizes than that with smaller pore sizes. In addition, the effect of pore size on relative water permeability is higher than that on relative air permeability.

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Gas and solute diffusion in partially saturated porous media: Percolation theory and Effective Medium Approximation compared with lattice Boltzmann simulations

et al. 2015

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Understanding and accurate prediction of gas or liquid phase (solute) diffusion are essential to accurate prediction of contaminant transport in partially saturated porous media. In this study, we propose analytical equations, using concepts from percolation theory and the Effective Medium Approximation (EMA) to model the saturation dependence of both gas and solute diffusion in porous media. The predictions of our theoretical approach agree well with the results of nine lattice Boltzmann simulations. We find that the universal quadratic scaling predicted by percolation theory, combined with the universal linear scaling predicted by the EMA, describes diffusion in porous media with both relatively broad and extremely narrow pore size distributions.

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Effect of Network Topology on Relative Permeability

Cited by 94 publications

References 42 publications

A New Method for Generating Pore-Network Models of Porous Media

A New Method for Generating Pore-Network Models of Porous Media

Simulation of Dynamic Two-Phase Flow During Multistep Air Sparging

Gas and solute diffusion in partially saturated porous media: Percolation theory and Effective Medium Approximation compared with lattice Boltzmann simulations

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