This paper presents a hybrid modeling approach for simulating hydraulic fracture propagation in saturated porous media: ordinary state-based peridynamics is used to describe the behavior of the solid phase, including the deformation and crack propagation, while FEM is used to describe the fluid flow and to evaluate the pore pressure. Classical Biot poroelasticity theory is adopted. The proposed approach is first verified by comparing its results with the exact solutions of two examples. Subsequently, a series of pressure- and fluid-driven crack propagation examples are solved and presented. The phenomenon of fluid pressure oscillation is observed in the fluid-driven crack propagation examples, which is consistent with previous experimental and numerical evidences. All the presented examples demonstrate the capability of the proposed approach in solving problems of hydraulic fracture propagation in saturated porous media.

翻译：本文提出了一种模拟饱和多孔介质中水力裂缝扩展的混合建模方法：采用基于普通态的近场动力学描述固相行为，包括变形与裂缝扩展，而有限元法则用于描述流体流动及评估孔隙压力。采用经典Biot孔隙弹性理论。通过与两个算例的精确解对比，对所提方法进行了验证。随后，求解并展示了一系列压力驱动和流体驱动的裂缝扩展算例。在流体驱动裂缝扩展算例中观察到流体压力振荡现象，这与先前的实验和数值证据一致。所有算例均表明，所提方法能够解决饱和多孔介质中的水力裂缝扩展问题。