As a unique phenomenon of coalbeds, absolute permeability can change with time in a non-monotonic fashion during pressure drawdown. Despite numerous investigations, some aspects closely linked to this phenomenon have not been thoroughly addressed, such as the kinetic behavior of sorption-induced matrix swelling/shrinkage strain observed by laboratory tests and the deformation characteristics of highly fissured coalbeds with matrices completely separated by fracture networks. In view of those facts, a kinetic adsorption/desorption model is firstly proposed to characterize the kinetic behavior of sorption-induced strains with the aid of matrix shrinkage coefficient. Then, based on a cubic geometry representative of highly fissured rocks, the strains due to both sorption-induced deformation and pressure change are correlated to fracture permeability to construct a new kinetic permeability model for highly fissured coalbeds. Finally, in order to examine the transient pressure behavior of deformable coalbeds, permeability evolution is incorporated into an improved well-test model allowing for gas kinetic desorption, pseudo-steady diffusion and seepage flow. The effects of model parameters such as matrix shrinkage coefficient, fracture compressibility and geomechanics framework constrain on wellbore pressure are analyzed. This study indicates that sorption-induced strains affect coalbed permeability mainly by altering fracture space rather than fracture opening and thus the commonly used cubic relationship between fracture permeability and width is no longer appropriate when significant adsorption/desorption occurs. Besides, it is found that the non-monotonic variation of in-situ coalbed permeability during pressure drawdown is an inevitable result of the kinetic behavior of sorption-induced deformation, disregarding whether matrix shrinkage coefficient varies or not. © 2022 by Aussino Academic Publishing House.