Dynamic Multilevel Multiscale Simulation of Naturally Fractured Reservoirs with Generic Fracture-Matrix Conductivity Contrasts

摘要: An algebraic dynamic multilevel (ADM) method for multiphase flow in heterogeneous fractured porous media using the projection-based embedded discrete fracture model (pEDFM) is presented. The fine-scale system obtained independently matrix and each lower-dimensional fracture. On finescale high resolution computational grids, an independent gird (i.e., ADM grid) imposed. fully implicit mapped completely algebraically to this grid sequences of restriction prolongation operators. Multilevel multiscale basis functions are locally computed employed honor heterogeneity contrasts domain by interpolating solution accurately. These only at beginning simulation increase efficiency. Once solved all unknowns pressure saturation), prolonged back order obtain approximated solution. This employs cells sharp gradient (e.g., moving front). With two test-cases (homogeneous heterogeneous), performance assessed comparing it results as reference It will be shown that able reduce costs provide efficiency while maintaining desired accuracy.