In view of the anisotropy,heterogeneity and stress-sensitive permeability in low permeability reservoirs,an analytical well test model was established by introducing the concept of permeability modulus.This model considered the permeability stress-sensitivity,wellbore storage effect,and the skin effect.The perturbation technique and Laplace transformation were used to solve the mathematical model analytically in Laplace space,and the bottom-hole pressure type curves were plotted and analyzed in real space by using the Stehfest numerical inversion. In view of the anisotropy, heterogeneity and stress-sensitive permeability in low permeability reservoirs, an analytical well test model was established by introducing the concept of permeability stress-sensitivity. Wellbore storage effect, and the skin effect. The perturbation technique and Laplace transformation were used to solve the mathematical model analytically in Laplace space, and the bottom-hole pressure type curves were plotted and analyzed in real space by using the Stehfest numerical inversion.