The paper presents an embedded strong discontinuity approach to simulate single hydraulic fracture propagation in the poroelastic medium under plane‐strain conditions. The method enriches the strain field with the discontinuous deformation mode and allows the fracture to be modeled inside elements. The Mode‐I fracture initiation and propagation are described by the trilinear cohesive law, which is implemented by the penalty method. The enhanced permeability inside the fractured elements is dependent on the fracture aperture. Hydraulic fracture propagation is driven by the high pressure gradient near the fracture. Fluid transfer between the fracture and bulk rock is automatically captured within the poroelastic framework. The numerical framework is verified by the comparisons with the asymptotic analytical solutions for single hydraulic fracture propagation.

中文翻译：

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使用嵌入式强不连续方法模拟渗透性介质中的水力压裂扩展

本文提出了一种嵌入的强不连续性方法，以模拟平面应变条件下在多孔弹性介质中的单个水力压裂扩展。该方法通过不连续变形模式丰富了应变场，并允许在内部单元中模拟裂缝。I型裂缝的萌生和扩展由三线性内聚定律描述，该定律通过罚分法实现。裂缝单元内部渗透率的提高取决于裂缝的孔径。裂缝附近的高压梯度驱动水力裂缝的扩展。裂缝和大块岩石之间的流体传输自动捕获在孔隙弹性框架内。