This article presents a new well test model for stress-sensitive composite dual-porosity reservoirs based on the concept of permeability modulus,where the rock and fluid properties as well as the formation thickness vary in the radial direction.An analytical solution in the Laplace space for the pressure-transient behavior for a line-source,constant-rate well of this type of reservoir is obtained with the Laplace transformation and the perturbation technique.The pressure and its derivative in the reservoir and the effects of relevant parameters on the pressure-transient response are obtained.The model as well as the corresponding type curves may be used in predicting the production performance or analyzing the production data for this type of reservoir.