Generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg's effect

Chen, Li; Fang, Wenzhen; Kang, Qinjun; De’Haven Hyman, Jeffrey; Viswanathan, Hari S.; Tao, Wen-Quan

doi:10.1103/PhysRevE.91.033004

Generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg's effect

Journal Article · Mon Mar 02 23:00:00 EST 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.91.033004· OSTI ID:1471329

Chen, Li ^[1]; Fang, Wenzhen ^[2]; ^[3]; ^[3]; ^[3]; Tao, Wen-Quan ^[2]

Xi'an Jiaotong University (China); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Xi'an Jiaotong University (China)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We report that gas slippage occurs when the mean free path of the gas molecules is in the order of the characteristic pore size of a porous medium. This phenomenon leads to Klinkenberg's effect where the measured permeability of a gas (apparent permeability) is higher than that of the liquid (intrinsic permeability). A generalized lattice Boltzmann model is proposed for flow through porous media that includes Klinkenberg's effect, which is based on the model of Guo et al. [Phys. Rev. E 65, 046308 (2002)]. The second-order Beskok and Karniadakis-Civan's correlation [A. Beskok and G. Karniadakis, Microscale Thermophys. Eng. 3, 43 (1999) and F. Civan, Transp. Porous Med. 82, 375 (2010)] is adopted to calculate the apparent permeability based on intrinsic permeability and the Knudsen number. Fluid flow between two parallel plates filled with porous media is simulated to validate the model. Simulations performed in a heterogeneous porous medium with components of different porosity and permeability indicate that Klinkenberg's effect plays a significant role on fluid flow in low-permeability porous media, and it is more pronounced as the Knudsen number increases. Lastly, fluid flow in a shale matrix with and without fractures is also studied, and it is found that the fractures greatly enhance the fluid flow and Klinkenberg's effect leads to higher global permeability of the shale matrix.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; Laboratory Directed Research and Development (LDRD)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1471329

Report Number(s):: LA-UR--14-29162

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 3 Vol. 91; ISSN 1539-3755; ISSN PLEEE8

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Klinkenberg’s effect
apparent permeability
fracture
lattice Boltzmann method
shale gas
tight porous media

Generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg's effect

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