Abstract:In the actual hydraulic fracturing process, the fracture always extends along a direction perpendicular to the minimum stress. The distribution of the in-situ stress and the interaction between multiple fractures (stress shadow effect) play important roles in the formation of a complex fracture network. Based on the extended finite element method (XFEM), in this paper, we simulate the arbitrary propagation of fractures in porous media. Since we introduce the enriched degree of freedom based on the traditional finite element method (FEM), with which we can describe discontinuous displacement, the fracture can be propagated independent of the mesh. By introducing a one-dimensional flow assumption, we solve the lubrication equation, taking into account the flow of the fluid in the fracture. At the same time, we also consider the leak-off effect of the fracture on the matrix. We investigate the influence of the propagation pattern and stage distance on the fracture morphology under different perforation spacing in the actual construction. The results show the fracture in the middle is shielded when the stage spacing is too small. In addition, the fracture will turn due to the stress shadow effect.