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The fracture propagation in hydraulic fracturing is described as a nonlinear problem dynamic boundary. Due to the limitation of mesh refinement, it is difficult to obtain the real crack propagation path using conventional numerical methods. Meshless methods (MMs) are an effective method to eliminate the dependence on the computational grid in the simulation of fracture propagation. In this paper, a hydraulic fracture propagation model is established based on the element-free Galerkin (EFG) method by introducing jump and branch enrichment functions. Based on the proposed method, three types of fracturing technology are investigated. The results reveal that the stress interference between fractures has an important impact on the propagation path. For the codirectional fracturing simultaneously, fractures propagate in a repel direction. However, the new fracture is attracted and eventually trapped by the adjacent fracture in the sequential fracturing case. For the opposite simultaneous fracturing in multiwells, two fractures with a certain lateral spacing will deflect toward each other. The effect of stress shadow should be used rationally in the optimization of construction parameters; for the single well multistage fracturing, the stage spacing should be out of stress inversion area, while for the simultaneous fracturing of multiple wells, stress inversion zones should be used to maximize communication between natural fractures. Overall, this study establishes a novel and effective approach of using MM to simulate the propagation of hydraulic fractures, which can serve as a useful reference for understanding the mechanism of hydraulic fracture propagation under various conditions.

Refracturing, temporary plugging, and infilling well design play an important role in the development of reservoirs. The prediction of stress distribution can provide the basic guiding theory for the design and implementation of these techniques. In this paper, a fully-coupled three-dimensional production model based on the finite element method (FEM) and fracture continuum method (FCM) for naturally fractured reservoirs is presented to study the effects of fluid consumption on the reservoir stress. Furthermore, the effects of natural fractures on the stress re-distribution and stress re-orientation are also studied. The model also considers the influence of natural fractures on the permeability, and the effect of the effective stress on natural fracture openings, pore-elastic deformation, and fluid consumption. An analytical solution model and Eclipse were used for the comparison, which verifies the accuracy of the model results. Based on two cases of one cluster of fractures and three clusters of non-planar fractures, the research results revealed that natural fractures have a significant influence on the surrounding drainage, stress distribution, and stress re-orientation during the development. Under the influence of natural fractures, the production of the fluid along the direction of natural fractures is significantly easier, and it is highly probably that the insufficient consumption area is perpendicular to the direction of natural fractures. Compared with the conventional model, the stress distribution in the proposed model is deflected to a certain extent under the flow mode dominated by natural fractures, which is significantly prominent in the non-planar fracture model. Due to the effect of natural cracks, the absolute values of the stress, displacement, and stress difference in this model are relatively larger than those in the conventional model. Moreover, the re-orientation angles of the maximum principal stress are significantly different. After considering the natural cracks, there was an increase in the change in re-orientation and the re-orientation range. The research findings reported in this paper can be used to predict the initiation, extension, and steering process of temporary plugging fracturing fractures and refracturing fractures in fractured reservoirs.