The classical Darcy’s law
cannot effectively describe the
microscopic flow rules of shale gas. In addition, conducting gas transport
experiments in nanopores is difficult, and the correctness of the
simulation results is not guaranteed. Studies on the flow and transmission
of shale gas in microscopic nanopores can effectively guide the macroscopic
numerical simulation of shale gas reservoirs, which is of great significance
to the economical and efficient development of such reservoirs. In
this work, the dimensionless relaxation time expression is modified,
and the Peng–Robinson equation of state (P–R EOS) is
introduced to the microscale gas flow lattice Boltzmann model. The
influences of viscous flow, slippage effect, boundary Knudsen layer,
adsorbed gas layer, and surface diffusion are considered, and the
results are combined with the real isothermal adsorption experimental
data of shale samples collected from the Longmaxi formation in Sichuan
Basin. Finally, the contributions of various transport mechanisms
to shale gas flow in nanopores and their influencing factors are studied.
Results show that the gas velocity and mass flux (Q) obtained using the ideal gas EOS are higher than those obtained
using P–R EOS under high pressure. When the effective pore
diameter (H
e) is less than 5 nm, surface
diffusion and its induced free flow are the main transport mechanisms
of shale gas flow in nanopores. Viscous flow becomes the main transport
mechanism when H
e exceeds 20 nm. H
e, pressure, and shale adsorption capacity significantly
affect the contribution rate of each transport mechanism to the total Q of shale gas. By comparison, the influence of temperature
on the Q of shale gas is relatively small and can
be neglected under high pressure.