An analytical model for shale gas permeability

Kazemi, Mohammad; Takbiri-Borujeni, Ali

doi:10.1016/j.coal.2015.05.010

Cited by 97 publications

(40 citation statements)

References 47 publications

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“…When the pore pressure increases from 10 to 50 MPa, rv shows a minor increase from 0.832 to 0.967, and rk decreases smoothly from 0.168 to 0.033. This is because that, according to (11), with increasing pore pressure rv gradually converges to 1. Thus, at high pore pressure (>30 MPa), rv is not sensitive to pore pressure.…”

Section: Gas Transport Dynamics In Shalementioning

confidence: 96%

“…Gas transport in shale involves different transport mechanisms, including viscous flow, slip flow, Knudsen diffusion, and surface diffusion [7][8][9]. A variety of studies have been done on studying these different mechanisms [10][11][12][13][14]. However, most of studies consider shale media as a bundle of uniform capillaries with an effective pore radius e .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Theoretical Analysis of Pore Size Distribution Effects on Shale Apparent Permeability

Tian

Ren

et al. 2017

Geofluids

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Apparent permeability is an important input parameter in the simulation of shale gas production. Most apparent permeability models assume a single pore size. In this study, we develop a theoretical model for quantifying the effect of pore size distribution on shale apparent permeability. The model accounts for the nonuniform distribution of pore sizes, the rarefaction effect, and gas characteristics. The model is validated against available experimental data. Theoretical calculations show that the larger the pore radius, the larger the apparent permeability. Moreover, the apparent permeability increases with an increase in the width of pore size distribution, with this effect being much more pronounced at low pressure than at high pressure.

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Section: Gas Transport Dynamics In Shalementioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

A Theoretical Analysis of Pore Size Distribution Effects on Shale Apparent Permeability

Tian

Ren

et al. 2017

Geofluids

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“…Therefore, the Darcy law reflecting continuum flow is no longer applicable for shale gas due to the significant influence of molecular diffusion and gas slippage. To date, it has been generally accepted that gas flow regimes can be subdivided into continuum flow (K n < 0.001), slip flow (0.001 < K n < 0.1), transition flow (0.1 < K n < 10) and free molecular flow (K n > 10) based on the Knudsen number (K n , i.e., the ratio of the mean free path of molecule to pore diameter) Kim et al, 2015;Kazemi and Takbiri-Borujeni, 2015), as shown in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

Insights on the gas permeability change in porous shale

Chen

Xu³

et al. 2017

Adv. Geo-Energ. Res.

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Due to abundant nanoscale pores developed in shale, gas flow in shale presents a complex dynamic process. This paper summarized the effects from effective stress increase, shale matrix shrinkage, gas slippage and Knudsen diffusion on the gas permeability change in shale during shale gas recovery. With the reduce in gas pressure, effective stress increase leads to the decline of the permeability in an exponential form; the permeability increases due to the shale matrix shrinkage induced by gas desorption; appearances of gas slippage and Knudsen diffusion cause an additional increase in the gas permeability particularly in small pores at low pressures. In addition, some reported models evaluating the shale permeability were reviewed preliminarily. Models considering these four effects may be potentially effective to evaluate the gas permeability change in shale.

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“…Sigal (2013) thought the adsorbed layer diffusional transport may be the second mechanism for methane transport, but it requires large values of the diffusion coefficient. However, some literature treats the adsorbed phase as immobile, such as Cui et al (2009), Sakhaee-Pour andBryant (2012), and Kazemi and Ali (2015). Based on these arguments, one of the objectives of this work is to focus on evaluating the contribution of surface diffusion to the apparent permeability.…”

Section: Accepted Manuscriptmentioning

confidence: 98%