The study of seepage
mechanism in shale gas reservoir has been
paid more and more attention. The shale gas reservoirs are rich in
nanosized pores. The pores in shale matrix can be divided into organic
nanopores and inorganic nanopores. At present, there are many literature
studies focusing on establishing a model to analyze the gas transport
mechanism in shale organic pores. Some researchers also considered
the difference of gas transport in organic and inorganic matrix pores,
and a mathematical model of inorganic nanopores has been established.
However, for inorganic nanopores, most of the models ignore the effect
of irreducible water distribution on gas transport, which leads to
overestimating of gas transport capability. In this paper, first,
based on the weighting coefficient proposed by Wu, the apparent permeability
models are established for inorganic nanopores with two different
cross-sectional shapes, which are known as cylindrical capillary and
slit nanopores. The influence of irreducible water distribution, real
gas effect, and stress dependence is also taken into account in the
models. Then, the proposed model is verified, and the results show
that the model and the experimental data can be well fitted. Finally,
the effect of each factor on apparent gas permeability is analyzed
and discussed. The results indicate that the apparent permeability
of nanopores with different cross-sectional shapes decreases with
the increase of relative humidity. When the relative humidity increases
to a critical value, the apparent permeability decreases sharply,
and the pores will be blocked with capillary water. The gas transport
capability in cylindrical capillaries and slit nanopores at the same
cross-sectional area is different, and the pore pressure, pore size,
effective stress, and aspect ratio of the slit nanopores are important
factors affecting the transport process. Under high-temperature and
low-pressure conditions, methane transport capacity is significantly
higher than those of ethane and carbon dioxide. The results of this
paper can provide a reference for researchers in the study of the
gas seepage mechanism in shale gas reservoirs.