Multicomponent fluid flow by discontinuous Galerkin and mixed methods in unfractured and fractured media

摘要: [1] A discrete fracture model for the flow of compressible, multicomponent fluids in homogeneous, heterogeneous, and fractured media is presented single phase. In numerical we combine mixed finite element (MFE) discontinuous Galerkin (DG) methods. We use cross-flow equilibrium concept to approximate matrix mass transfer. The numerically superior single-porosity overcomes limitations dual-porosity models including a shape factor. MFE method provides direct accurate approximation velocity field, which crucial convective terms equations. DG associated with slope limiter used species balance This can capture sharp moving fronts. calculation fracture-fracture flux across three higher intersecting branches challenge. this work, provide an these fluxes by using formulation. Numerical examples unfractured illustrate efficiency robustness proposed model.