Study of Gas Flow Characteristics in Tight Porous Media with a Microscale Lattice Boltzmann Model

Abstract

To investigate the gas flow characteristics in tight porous media, a microscale lattice Boltzmann (LB) model with the regularization procedure is firstly adopted to simulate gas flow in three-dimensional (3D) digital rocks. A shale digital rock and a sandstone digital rock are reconstructed to study the effects of pressure, temperature and pore size on microscale gas flow. The simulation results show that because of the microscale effect in tight porous media, the apparent permeability is always higher than the intrinsic permeability, and with the decrease of pressure or pore size, or with the increase of temperature, the difference between apparent permeability and intrinsic permeability increases. In addition, the Knudsen numbers under different conditions are calculated and the results show that gas flow characteristics in the digital rocks under different Knudsen numbers are quite different. With the increase of Knudsen number, gas flow in the digital rocks becomes more uniform and the effect of heterogeneity of the porous media on gas flow decreases. Finally, two commonly used apparent permeability calculation models are evaluated by the simulation results and the Klinkenberg model shows better accuracy. In addition, a better proportionality factor in Klinkenberg model is proposed according to the simulation results.

Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media

“…The Kn ‐related effective viscosity and slip boundary condition were introduced to account for the confinement effect (Guo et al, ; Q. Li et al, ). Later, by modifying the slip boundary condition and introducing the regularization procedure, it was also used to simulate gas flow in nanoporous media (Landry et al, ; Zhao et al, ; Zhao et al, ; Zhao et al, ). In this paper, the LB model is used to simulate gas flow in different nanoscale pore geometries to analyze the viscous dissipation and verify the accuracy of different apparent permeability calculation models.…”

Investigation of the Klinkenberg effect in a micro/nanoporous medium by direct simulation Monte Carlo method

“…Mohammadmoradi and Kantzas, 2016 [23] 1 + a Kn a = 9.62 Zhao et al, 2016 [8] 1 + 4c Kn c = 0.8 Florence et al, 2007 [38], Civan, 2010 [10] 1+ 4Kn 1+Kn…”

“…As DSMC replaces the deterministic motion by a stochastic approximation for the collision process, it is more efficient than the molecular dynamic (MD) method for certain problems. On the other hand, due to its high accuracy, the results simulated by DSMC have also been used frequently as benchmarks to validate other numerical methods, such as the Lattice Boltzmann method [8].…”

Modern system of multiphase flow in porous media and its development trend

“…[2] . 此外, 通过修正微尺度LB模型进行 了 二 维 及 三维 真 实 岩 心中 的 页 岩 气流 动 模 拟 [38,39] , Figure 8 (Color online) Schema of multiscale flow in shale gas reservoirs [47] 移机制不同 [55] . Whitaker [56,57] 和Quintard [58] 基于体积平均法在多 孔介质流动方面做了大量的工作: 由体积平均法理 论推导了达西方程 [56] 、多相流的传质方程 [57] 、多孔 介质中的传质传热 [58] 、多孔介质和流体间的界面条 件 [59] 等.…”