To investigate the nonstationary diffusion and transport
law of
gas in coal, an innovative fractal diffusion model based on fractal
theory and a treelike bifurcation network under different diffusion
modes were built. In addition, the quantitative relationships among
the diffusion coefficient, temperature, pressure, and structural parameters
were determined. The model considers the effect of pore tortuosity
and connectivity on gas diffusion, which renders it more realistic
than the previously presented single-pore diffusion models. Moreover,
each parameter in the model has a definite physical meaning and does
not contain any empirical constants. The applicability of the new
model was verified by experimental data and other model. Subsequently,
a sensitivity analysis of the gas diffusion coefficient was performed
to study the effect of the microstructural parameters on gas diffusion.
Finally, the dispersion degree of the diffusion coefficients at different
temperatures and pressures was analyzed to determine the main influencing
factors of gas diffusion at different diffusion stages in coal and
study their evolution. The results show that the gas diffusion state
is more sensitive to pressure variations. The diffusion behavior of
gases in coal-based porous media is more influenced by the temperature
and pressure at the beginning of the diffusion process.