Discontinuous and continuous Galerkin methods for compressible single-phase and two-phase flow in fractured porous media

Accurate simulation of flow behaviors in fractured porous media is challenging. We present a discontinuous Galerkin (DG) approximation and continuous (CG) for compressible single- two-phase with conducting (high permeable) blocking (low fractures using mixed-dimensional approach which the fracture described as reduced-dimensional interface coupled linear transmission conditions. The proposed DG/CG method was first verified single-phase benchmark cases then applied to time-dependent cases. simulated results demonstrate that capable capturing continuity well jump pressure between two sides matrix-fracture interface. For cases, we verify reference case involving complex configuration. Subsequently, analyze several study through single discrete network dimensions. Overall, show developed can reliably predict media.