The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs.We go beyond the existing method that uses planar or orthogonal conjugate fractures for representing the “complexity” of the network.Bifurcation of fractures is performed utilizing the Lindenmayer system based on fractal geometry to describe the fracture propagation pattern,density and network connectivity.Four controlling parameters are proposed to describe the details of complex fractures and stimulated reservoir volume (SRV).The results show that due to the multilevel feature of fractal fractures,the model could provide a simple method for contributing reservoir volume calibration.The primary-and second-stage fracture networks across the overall SRV are the main contributions to the production,while the induced fracture network just contributes another 20％ in the late producing period.We also conduct simulation with respect to different refracturing cases and find that increasing the complexity of the fracture network provides better performance than only enhancing the fracture conductivity.