A new boundary scheme for simulation of gas flow in kerogen pores with considering surface diffusion effect

Wang, Lingquan; Zeng, Zhong; Zhang, Liangqi; Liu, Qiao; Lu, Yiyu

doi:10.1016/j.physa.2017.12.028

Cited by 10 publications

(13 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They also used the Shan–Chen interaction potential to control the local density near the wall to consider the sorption process. The LBM-based modeling of multimechanism flow includes (i) the incorporation of the Langmuir slip model into LBM; − (ii) the introduction of the long-range force to address sorption; ,, (iii) incorporation of semianalytical or analytical models into REV-scale models; − (iv) consideration of the surface diffusion as a moving boundary; , and (v) the coupling of LBM and molecular dynamics (MD) models. , All of these works are subject to assumptions that require thorough justifications.…”

Section: Permeability Modelsmentioning

confidence: 99%

Gas Flow Models of Shale: A Review

et al. 2021

View full text Add to dashboard Cite

Conventional flow models based on Darcy's flow physics fail to model shale gas production data accurately. The failure to match field data and laboratory-scale evidence of non-Darcy flow has led researchers to propose various gas-flow models for the shale reservoirs. There is extensive evidence that suggests the size of the pores in shale is microscopic in the range of a few to hundreds of nanometers (also known as nanopores). These small pores are mostly associated with the shale's organic matter portion, resulting in a dual pore system that adds to the gas flow complexity. Unlike Darcy's law, which assumes that a dominant viscous flux determines a rock's permeability, shale's permeability leads to other flow processes besides viscous flow such as gas slippage and Knudsen diffusion. This work reviews the dominant gas-flow processes in a single nanopore on the basis of theoretical models and molecular dynamics simulations, and lattice Boltzmann modeling. We extend the review to pore network models used to study the gas permeability of shale.

show abstract

Section: Permeability Modelsmentioning

confidence: 99%

Gas Flow Models of Shale: A Review

et al. 2021

View full text Add to dashboard Cite

show abstract

“…An accurate description of the coupling process of micro-gaseous flow and surface diffusion induced by adsorbed gas is under development and still has a puzzle. The universally adopted Langmuir slip model [39][40][41]54,55] is introduced to obtain the resultant slip velocity 𝑢 s at wall. It can be expressed as…”

Section: Boundary Condition Considering Surface Diffusionmentioning

confidence: 99%

“…( 6)) to capture the coupled effect of multi-scale and multi-mechanism flow in porous medium. Inspired by previous research, [40,41,50,51] in which the surface diffusion was regarded as a moving wall, in this work we employ the nonequilibrium extrapolation scheme [42] to accurately impose the prescribed velocity 𝑢 w at the wall. The slip velocity 𝑢 g can be determined by some LBM-based kinetic boundaries, e.g., the discrete Maxwellian (DM), [35] the combined bounce-back scheme and specular reflection (BSR), [57] and DBB.…”

Section: Self-developed Boundary Scheme Considering Surface Diffusionmentioning

confidence: 99%

“…In the first category, the Langmuir slip model is incorporated into the LBM. [39][40][41] By using the nonequilibrium extrapolation scheme, [42] Fathi et al [39] first developed an LBM-based boundary scheme to capture the multimechanism flow. Wang et al [40] developed a similar boundary to account for the Langmuir slip model.…”

Section: Introductionmentioning

confidence: 99%

“…However, extending their boundary scheme into inclined wall or curved wall was difficult for several reasons. Wang et al [41] presented a new boundary scheme to take account of Langmuir slip boundary by utilizing the non-equilibrium extrapolation approach. [42] Again, only the cases with straight channels were validated and tested in their studies.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Boundary scheme for lattice Boltzmann modeling of micro-scale gas flow in organic-rich pores considering surface diffusion

Zuo

Deng

2019

Chinese Phys. B

View full text Add to dashboard Cite

We propose a boundary scheme for addressing multi-mechanism flow in a porous medium in slip and early transition flow regimes, which is frequently encountered in shale gas reservoirs. Micro-gaseous flow in organic-rich shale involves a complex flow mechanism. A self-developed boundary scheme that combines the non-equilibrium extrapolation scheme and the combined diffusive reflection and bounce-back scheme (half-way DBB) to embed the Langmuir slip boundary into the single-relaxation-time lattice Boltzmann method (SRT-LBM) enables us to describe this process, namely, the coupling effect of micro-gaseous flow and surface diffusion in organic-rich nanoscale pores. The present LBM model comes with the careful consideration of the local Knudsen number, local pressure gradient, viscosity correction model, and regularization procedure to account for the rarefied gas flows in irregular pores. Its validity and accuracy are verified by several benchmarking cases, and the calculated results by this boundary scheme accord well with our analytical solutions. This boundary scheme shows a higher accuracy than the existing studies. Additionally, a subiteration strategy is presented to tackle the coupled micro-gaseous flow and surface diffusion, which necessitates the iteration process matching of these two mechanisms. The multi-mechanism flow in the self-developed irregular pores is also numerically investigated and analyzed over a wide range of parameters. The results indicate that the present model can effectively capture the coupling effect of micro-gaseous flow and surface diffusion in a tree-like porous medium.

show abstract