Determining the intrinsic permeability of tight porous media based on bivelocity hydrodynetics

Lv, Qifeng; Wang, Enzhi; Liu, Xiao Li; Wang, Sijing

doi:10.1007/s10404-014-1332-z

Cited by 30 publications

(21 citation statements)

References 31 publications

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“…To validate the proposed multi-flow regimes model, dimensionless apparent permeability values predicted by different models (Klinkenberg, 1941;Civan, 2010;Velasco et al, 2012;Lv et al, 2014) were compared with the experimental data given in Velasco et al (2012). Figure 4(a) shows that the dimensionless apparent permeability calculated from the proposed model matches quite well with the experimental data for the full flow range.…”

Section: Resultsmentioning

confidence: 77%

A multi-flow regimes model for simulating gas transport in shale matrix

Zhang¹,

Wen²

2015

Géotechnique Letters

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The gas transport in shale matrix is of great research interest for optimised shale gas recovery. Pores and pore-throats in the gas-bearing shale are nano-scale, and hence transport of gas is governed by the slippage effect and Knudsen diffusion rather than viscous flow. Hence a proper mathematical model is needed for full understanding of shale gas transport. In this paper, a mathematical model that considers multi-flow regimes is proposed based on gas molecular kinetics theory. The flow regimes transition from slip flow to Knudsen diffusion, and can be adequately described by introducing a corrected intermolecular collision frequency. The proposed mathematical model predictions are compared with experimental data and found to match very well. Furthermore, the gas mass flux contributed by different flow regimes with the variation of Knudsen number is analysed. The numerical simulation results indicate that with the increase in Knudsen number, viscous flow becomes weakened, and the slippage flow reaches a peak and then decreases gradually. The contribution to the gas mass flux due to Knudsen diffusion starts at the early stage of transition flow, and becomes dominant at the later stage of transition flow.

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Section: Resultsmentioning

confidence: 77%

A multi-flow regimes model for simulating gas transport in shale matrix

Zhang¹,

Wen²

2015

Géotechnique Letters

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“…Previous studies showed that the VHS model is comparable to the Maxwell model (Maxwell 1879). Even though these two equations are widely used, there are several others in the literature.…”

Section: Mean Free Path and Flow Regimesmentioning

confidence: 99%

“…The gas-surface interaction model that was used in our simulations was the Maxwell model (Maxwell 1879). The VHS collision model is used.…”

Section: Flow Properties and Boundary Conditionsmentioning

confidence: 99%

“…These phenomena are called wall-slip and temperature-jump effects. Maxwell (1879) first proposed the relation between gas and wall conditions. Klinkenberg (1941) noted the gas slip on the walls in micro-and nanopores.…”

Section: Introductionmentioning

confidence: 99%

“…Because, in the Klinkenberg equation, the permeability is inversely proportional to the pressure, the Klinkenberg effect can be found for a wider range of pore size with lower pressure. Several slip models (Maxwell 1879;Karniadakis et al 2005) were proposed to correct the NSF equations for a wide range of Kn number. However, these models are generally inadequate for Kn > 1, and flow rate at nanoscale is greater than that predicted by Darcy's equation (Song and Ehlig-Economides 2011;Swami et al 2012).…”

Section: Introductionmentioning

confidence: 99%

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Direct-Simulation Monte Carlo Investigation of a Berea Porous Structure

Christou

Dadzie

2016

SPE Journal

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Shale-gas and tight gas reservoirs consist of porous structures with pore diameter in the range of 1 to 200 nm. At these scales, the pore diameter becomes comparable to the gas mean free path. Flows in these structures fail often in the transition and slip flow regimes. Standard continuum fluid methods such as the Navier-Stokes-Fourier (NSF) set of equations fail to describe flows of these regimes. We present a direct-simulation monte carlo (DSMC) study of a 3D porous structure in an unlimited parallel simulation. The 3D geometry was obtained with microcomputedtomography (micro-CT). The gas considered is CH 4 (100%), and the gas intermolecular-collision model for the simulation is the variable hard sphere (VHS). Simulations were carried out for three different Knudsen (Kn) numbers within the transition and slip flow regimes. The results demonstrate some of the significant differences that appear in gas-flow properties depending on the Kn number and the flow regime. In addition, the velocity profile appears to depend on the Kn number. At the inlet of the porous structures, more-uniform velocity profile occurs for the three Kn numbers. At the outlet, the velocity profile varies depending on the Kn number. For Kn % 0.037, a parabolic shape is observed for the velocity profile, whereas a more-uniform shape is observed for Kn % 3.7.

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