Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow

摘要

The Darcy flow problem in fractured porous media is considered. The fractures are treated as lower dimensional objects coupled with the surrounding continuum. Error estimates for the weak solution to such continuum-fracture model in comparison to the weak solution of the full model are derived. Validity of the estimates is inspected on one simple and one quasi-realistic case numerically.