GSIS: An efficient and accurate numerical method to obtain the apparent gas permeability of porous media

Su，Wei1; Ho，Minh Tuan1; Zhang，Yonghao1; Wu，Lei2

2020-06-30

10.1016/j.compfluid.2020.104576

COMPUTERS & FLUIDS   影响因子和分区

0045-7930

1879-0747

The apparent gas permeability (AGP) of a porous medium is an important parameter to predict production of unconventional gas. The Klinkenberg correlation, which states that the ratio of the AGP to the intrinsic permeability is approximately a linear function of reciprocal mean gas pressure, is one of the most popular estimations to quantify AGP. However, due to the difficulty in defining the characteristic flow length in complex porous media where the rarefied gas flow is multiscale, the slope in the Klinkenberg correlation varies significantly for different geometries such that a universal expression seems impossible. In this paper, by solving the gas kinetic equation using the general synthetic iterative scheme (GSIS), we compute the AGP in porous media that are represented by Sierpinski fractals and pore body/throat systems. With the abilities of fast convergence to steady-state solution and asymptotic preserving of Navier-Stokes limit, it is shown that GSIS is a promising tool to simulate low-speed rarefied gas flow through complex multiscale geometries. A new definition of the characteristic flow length is proposed as a function of porosity, tortuosity and intrinsic permeability of porous media, which enables to find a unique slope in the Klinkenberg correlation for all the considered geometries. This research also shows that the lattice Boltzmann method using simple wall scaling for the effective shear viscosity is not able to predict the AGP of porous media.

Apparent gas permeability Discrete velocity method Gas kinetic equation General synthetic iterative scheme Klinkenberg correlation Multi-scale simulation

SCI ; EI

英语

通讯

Engineering and Physical Sciences Research Council (EPSRC) in the UK[EP/R041938/1]

Computer Science ; Mechanics

Computer Science, Interdisciplinary Applications ; Mechanics

WOS:000574655300003

PERGAMON-ELSEVIER SCIENCE LTD

20202308782868

Gas permeability ; Numerical methods ; Gases ; Flow of gases ; Iterative methods ; Kinetic theory of gases ; Navier Stokes equations ; Kinetics ; Integral equations ; Kinetic energy

Fluid Flow, General:631.1 ; Gas Dynamics:631.1.2 ; Calculus:921.2 ; Numerical Methods:921.6 ; Classical Physics; Quantum Theory; Relativity:931 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Materials Science:951

COMPUTER SCIENCE

2-s2.0-85085662854

Scopus

1.James Weir Fluids Laboratory,Department of Mechanical and Aerospace Engineering,University of Strathclyde,Glasgow,G1 1XJ,United Kingdom
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Su，Wei,Ho，Minh Tuan,Zhang，Yonghao,et al. GSIS: An efficient and accurate numerical method to obtain the apparent gas permeability of porous media[J]. COMPUTERS & FLUIDS,2020,206.

Su，Wei,Ho，Minh Tuan,Zhang，Yonghao,&Wu，Lei.(2020).GSIS: An efficient and accurate numerical method to obtain the apparent gas permeability of porous media.COMPUTERS & FLUIDS,206.

Su，Wei,et al."GSIS: An efficient and accurate numerical method to obtain the apparent gas permeability of porous media".COMPUTERS & FLUIDS 206(2020).