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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i12.10
pages 1059-1070

LATTICE BOLTZMANN SIMULATION OF APPARENT PERMEABILITY FOR GAS FLOW IN NANOCHANNELS

Kingsley I. Madiebo
Department of Petroleum Engineering, Texas A&M University, College Station, Texas 77843, USA
Hadi Nasrabadi
Department of Petroleum Engineering, Texas A&M University, College Station, Texas 77843, USA
Eduardo Gildin
Department of Petroleum Engineering, Texas A&M University, College Station, Texas 77843, USA

ABSTRAKT

In this work, an investigation of gas flow in nanochannels with the lattice Boltzmann method by employing appropriate boundary conditions to address flow in the slip regime was conducted. More importantly, a study of the phenomena defining the critical region beyond which indefinite slip motion occurs so as to understand its impact on apparent permeability in nanochannels found in pore distribution of shale reservoirs was done. Conformity was first achieved between this simulation and the analytical solution of the Hagen-Poiseuille equation. Then upon slip effect implementation, very good agreement was evinced between the lattice Boltzmann model and existent correlations predominantly reported in the literature. Further scrutiny of the slip motion region displayed that above a critical slip coefficient value, a sudden and significant rise in slip motion sets in indefinitely. The results here show that below the critical slip coefficient, the increase of the slip coefficient leads to the increase of the fluid velocity and subsequently the deduced permeability. This method can serve as a conformity check for proposed slip correlations of apparent permeability solely based on the Knudsen phenomena.


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