In this work, an efficient hybrid model coupled the MINC and the EDFM is developed to simulate the coupled flow and geomechanics in fractured media with multi-scale fractures. The sugar-cube approximation for matrix and micro-fracture configuration is assumed and the matrix and micro-fracture are modeled by a poroelastic MINC model, which can simulate matrix-fracture fluid exchange in a fully transient way and consider the matrices and fracture deformation accurately. The macro-fractures are simulated explicitly based on the dimensionality reduction without requiring the simulation mesh to conform to the fracture geometry. The XFEM is used to address the displacement discontinuities at surfaces of macro-fractures. A linear-elastic filling model is proposed. Then, the PPP technique is employed to address the displacement oscillation on surfaces of macro-fractures considering fillings. Then, a modified fixed-stress split method is applied to solve the hybrid model iteratively, and the finite volume and XFEM methods are used for flow and geomechanics in space discretization, respectively, the time discretization for flow is fully-implicit. Lastly, several numerical examples are conducted to verify the accuracy and applicability of the proposed method.


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