Coal permeability is an important
influential factor in the efficient
development and utilization of coalbed methane (CBM); however, coal
is in an environment of combined gas and water and is exposed to continuous
reservoir pressure for considerable periods, which makes permeability
changes in its natural state extremely complicated and those changes
difficult to evaluate. In this study, we established a dual-porosity
permeability model suitable for wet coal that considered the influence
of stress and gas adsorption. In the process of modeling, the shapes
of the matrix pores and fractures were simplified into regular cylindrical
and slit; based on the generalized Hooke’s law, the effective
stress–strain relationship of the coal matrix and fracture
was represented; meanwhile, the adsorption capacity decay coefficient
λ was introduced to describe the influence of moisture on gas
adsorption; and then changes in the pore radius and fracture width
under the action of stress and gas adsorption were quantified. Moreover,
the interaction between the water film and the pore wall and the influence
of stress and gas adsorption in the natural reservoir environment
were considered, relating to the dynamic water film calculation formula
in matrix pores and fractures under the influence of stress and gas
adsorption that was derived, revealing the dynamic evolution law of
water film thickness under the action of stress and gas adsorption.
By combining the above influential factors and based on the relationship
between permeability–porosity–pore radius (fracture
width), a dual-porosity permeability model that considered the effects
of stress, gas adsorption, and dynamic water film combinations was
established. Further, we compared the predicted results of this model
with published experimental data and discuss the influence of stress
and gas adsorption on water film thickness and the contribution of
matrix permeability and fracture permeability to resultant permeability
under different water saturations. The complex variation of wet coal
permeability under stress and gas adsorption is revealed.