This paper presents a new set of type curves for pressure transient analysis of composite dual-porosity systems. The composite, double-porosity system studied in this paper represents shale gas reservoirs with multistage hydraulically fractured horizontal wells. Upon hydraulic fracturing of horizontal wells, it is critically important to determine the permeability and extent of artificially induced fractures. In this study, it is shown that these properties can be calculated by using the type curves presented in this study. In addition to the permeability and extent of hydraulic fractures, dual-porosity dimensionless parameters of the hydraulically fractured region can also be calculated using these type curves. It is shown that type curves developed in this study provide accurate results via analysis of the pressure transient drawdown data. A case study is presented to validate and show the application of the type curves.