Hydraulic fracturing network modeling based on peridynamics

•A coupled hydromechanmical hydraulic fracturing model based on the Perdidynamics is established, which can simulate the hydraulic fracturing problem with arbitrary fracture network.•The problem of tracing macro fractures in the PD model is solved.•Failure criterion of rock mass shear failure based on PD.•A method for calculating the contact, friction and cohesion force on the fracture surface in PD model is proposed.•A model for judging and recording the connectivity of fracture networks. A coupled hydromechanical model based on peridynamics is proposed to simulate the hydraulic fracturing in a complex fracture network. The proposed method is validated by comparing the numerical results with the analytical and experimental solution. Then, the influence of the crustal stress distribution, the friction force acting on the natural fracture (NF) surface and the NF network on hydraulic fracture (HF) propagation are investigated. The simulation results reveal that the crustal stress ratio mainly affects the HF propagation direction. When HFs and NFs are connected, the induced stress caused by the opening of NFs deflects the propagation direction of new fractures. The friction force on NF surface is an important factor affecting the interaction between HFs and NFs.