  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.
