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Based on the research of the deformable porous media, pressure sensitivity feature of the permeability exists in the deformable porous media. In this paper, the initial stage of permeability change in the deformation of the medium was a linear variation. Continuity equation, equations of motion and the permeability pressure sensitive equation of state were used, and then productivity equation was derived when the permeability changed linearly, finally dimensionless productivity formula was derived. Dimensionless productivity well test plates were drawn. On this basis, the impact of permeability stress sensitivity of gas well productivity was further analyzed. The research shows: 1) The permeability stress sensitivity on gas well productivity cannot be ignored; 2) Fitting instance of the use of the plates was accurate, convenient and fast; 3) The permeability stress sensitivity on gas well open flow capacity is much larger than that without considering the permeability stress sensitivity under the influence of the open flow.