A periodic grain consolidation model of porous media

Larson, R. E.; Higdon, J. J. L.

doi:10.1063/1.857545

Cited by 105 publications

(76 citation statements)

References 13 publications

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“…To validate computation method and the extrapolation permeability calculation, flow through BCC packing of spheres is considered [50][51][52]. Unit length of the BCC cell is set as 1 mm and the radius of the sphere is 0.35 mm.…”

Section: Validationmentioning

confidence: 99%

Critical Resolution and Sample Size of Digital Rock Analysis for Unconventional Reservoirs

Liu

Wang

2018

Energies

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Digital rock analysis (DRA) has exhibited strong ability and significant potential to help people to image geological microstructures and understand transport mechanisms in rocks underground, especially for unconventional reservoirs like tight sandstone and shale. More and more new technologies have been developed for higher resolutions, which always come with higher expense. However, the balance between cost (money and time) and benefit has never been figured out quantitatively for these studies. As the cost and benefit are directly related to image resolution and size, this work is focusing on whether there is a critical resolution and sample size when using DRA for accurate enough predictions of rock properties. By numerically changing the digital resolutions of the reconstructed structures from high-resolution micro-computed tomography (CT) scanned tight rock samples, it is found that the permeability predictions get stable when the resolution is higher than a cut-off resolution (COR). Different from physical rocks, the representative element volume (REV) of a digital rock is influenced by the digital resolution. The results of pore-scale modeling indicate that once sample size is larger than the critical sample size and the scan resolution higher than the critical resolution for a given rock, the predicted rock properties by DRA are accurate and representative.

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Section: Validationmentioning

confidence: 99%

Critical Resolution and Sample Size of Digital Rock Analysis for Unconventional Reservoirs

Liu

Wang

2018

Energies

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“…[41]. The radius R(φ, L) of the spheres depends on φ and L and is given implicitly by the expression The deviation for L = 89a is negative and varies between 3% and 6% depending on the method.This discrepancy might possibly result mainly from discretization errors as there is a similar oscillatory trend in the LB as well as the FD results.…”

Section: B Cubic Array Of Spheresmentioning

confidence: 99%

“…This problem has become a reference system for checking hydrodynamic algorithms because accurate reference values for the permeability, and the drag coefficient, are available over a wide range of porosities [41,42].…”

Section: B Cubic Array Of Spheresmentioning

confidence: 99%

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

et al. 2002

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Numerical micropermeametry is performed on three dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5 µm. One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth sample is a physical model which mimics the processes of sedimentation, compaction and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples. The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude. This finding confirms earlier qualitative predictions based on local porosity theory. Two numerical algorithms were used in these simulations.One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.

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“…C is the porosity dependent drag force coefficient as defined in Ref. [42]. Figure 2(a) shows the simulated and theoretical permeability as well as the relative error in permeability as a function of the size of the system.…”

Section: Validation Of the Algorithmmentioning

confidence: 99%

A 3D lattice Boltzmann effective media study: understanding the role of C-S-H and water saturation on the permeability of cement paste

Zalzale

McDonald

Scrivener

2013

Modelling Simul. Mater. Sci. Eng.

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A 3D lattice Boltzmann model is developed and used to calculate the water and gas permeabilities of model cement pastes at different degrees of water saturation. In addition to permeable micron-sized capillary pores and impermeable solid inclusions, the lattice Boltzmann model comprises weakly-permeable nano-porous calcium silicate hydrate (C-S-H).The multi-scale problem is addressed by using an effective media approach based on the idea of partial bounce-back. The model cement paste microstructures are generated with the platform µic. The critical parameters, C-S-H density and capillary porosity, are taken from 1 H nuclear magnetic resonance relaxation analysis. The distribution of water and air is defined according to the Kelvin-Laplace law. It is found that when the capillary porosity is completely saturated with a fluid (either water or gas), the calculated intrinsic permeability is in good agreement with measurements of gas permeability on dried samples (10 -17 -10 -16 m 2 ).However, as the water saturation is reduced, the calculated apparent water permeability decreases and spans the full range of experimentally measured values (10 -16 -10 -22 m 2 ). It is concluded that the degree of capillary water saturation is the major cause for variation in experimental permeability measurements. It is further concluded that the role of the weaklypermeable C-S-H, omitted in earlier modelling studies, is critical for determining the permeability at low capillary saturation. Keywords

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A periodic grain consolidation model of porous media

Cited by 105 publications

References 13 publications

Critical Resolution and Sample Size of Digital Rock Analysis for Unconventional Reservoirs

Critical Resolution and Sample Size of Digital Rock Analysis for Unconventional Reservoirs

Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media

A 3D lattice Boltzmann effective media study: understanding the role of C-S-H and water saturation on the permeability of cement paste

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