Carbon
isotope fractionation is a promising method to predict gas-in-place
content and evaluate the shale gas production stage. In this study,
molecular simulations are conducted to investigate fractionation characteristics
of 12CH4 and 13CH4 in
high-Kn (Knudsen number) flows (Kn > 0.1) within organic and inorganic pores under shale reservoir
conditions (353 K, 5–25 MPa). The results show that isotope
fractionation is more obvious (i.e., the difference in transport capacities
between 12CH4 and 13CH4 is larger) in organic pores than in inorganic pores. Methane adsorption
capacity and surface roughness of pore walls are two major reasons.
High-coverage adsorption in organic pores reduces the effective pore
size, and the Knudsen diffusion becomes significant. Moreover, the
specular reflection of molecules occurs frequently on the smooth surfaces
of organic pores, which enlarges the difference in isotope diffusion
capacity. Indeed, the difference in energy (specific enthalpy) transport
of methane isotopes in organic and inorganic pores is the intrinsic
reason for fractionation. Furthermore, the fractionation level is
positively correlated with Kn due to the enhanced
contribution of Knudsen diffusion and surface diffusion in high-Kn flows. In addition, the isotope fractionation level decreases
as pore size increases because Kn and the contribution
of the adsorbed phase to the total molar flux reduce in a large pore.
Our findings and related analyses may help us to understand isotope
fractionation in different pore types and sizes from the atomic level
and assist future applications in engineering.