Flow in Porous Media with Fractures of Varying Aperture

We study single-phase flow in a fractured porous medium at macroscopic scale that allows us to model fractures individually. The is governed by Darcy’s law both and matrix. derive new mixed-dimensional model, where are represented -dimensional interfaces between subdomains for . In particular, we suggest generalization of the [V. Martin, J. Jaffré, E. Roberts, SIAM Sci. Comput., 26 (2005), pp. 1667–1691] accounting asymmetric with spatially varying aperture. Thus, particularly convenient description surface roughness or modeling curvilinear winding fractures. wellposedness proven under appropriate conditions. Further, formulate discontinuous Galerkin discretization validate performing two- three-dimensional numerical experiments.