Projection-based monotone embedded discrete fracture method for flow and transport in porous media

Abstract

The extension of the monotone embedded discrete fracture method (monotone EDFM) (Nikitin and Yanbarisov, 2020) is considered in this work. The new method is based on the two coupled discretization schemes: projection-based EDFM (pEDFM) (Tene et al., 2017) and nonlinear compact multi-point flux approximation scheme (Lipnikov et al., 2012). The main novelty of the extended method is the satisfaction of the discrete maximum principle and applicability to the anisotropic porous media with conductive and blocking fractures. The resulting projection-based monotone EDFM combines effectiveness and simplicity of pEDFM approach with accuracy and physical relevance of the nonlinear FV schemes on non-orthogonal grids and anisotropic media.