Comparison and application of non-conforming mesh models for flow in fractured porous media using dual Lagrange multipliers

Geological settings, such as reservoirs, include fractures with different material properties and geometric features. Hence, numerical simulations in applied geophysics demands for computational frameworks which efficiently allow us to integrate various fracture geometries a porous medium matrix. This study focuses on modeling approach single-phase flow fractured media its application types of non-conforming mesh models. We propose combination the Lagrange multiplier method variational transfer techniques simulating through by employing complex well hybrid- equi-dimensional models discretizations. The is based L2-projection enables an accurate highly efficient parallel projection fields between meshes (e.g., matrix domain). present unified mathematical framework practical perspective. By means examples we discuss both, performance applicability particular strategies. Comparisons finite element simulation results widely adopted 2D benchmark cases show good agreement dual spaces performance. In extension 3D network, first provide complementary recently developed case afterwards explore scenario leverages meshes. Complex conductive networks are found more suitable embedded hybrid-dimensional fractures. However, thick blocking better approximated mortar method, respectively.