A reduced model for Darcy’s problem in networks of fractures

• Published in: ESAIM. Mathematical modelling and numerical analysis Vol. 48; no. 4; pp. 1089 - 1116
• Main Authors: Formaggia, Luca, Fumagalli, Alessio, Scotti, Anna, Ruffo, Paolo
• Format: Journal Article
• Language: English
• Published: Les Ulis EDP Sciences 01.07.2014; Société de Mathématiques Appliquées et Industrielles (SMAI) / EDP
• Subjects: 65N30; 76S05; 86A60; Contamination; Fault lines; fractured porous media; Mathematical models; Mathematics; Numerical analysis; Partial differential equations; Permeability; Reduced models; Simulation; Studies; Theorems; XFEM; fractured porous media; reduce model; finite element method; XFEM
• ISSN: 0764-583X; 2822-7840; 1290-3841; 2804-7214
• DOI: 10.1051/m2an/2013132

Subsurface flows are influenced by the presence of faults and large fractures which act as preferential paths or barriers for the flow. In literature models were proposed to handle fractures in a porous medium as objects of codimension 1. In this work we consider the case of a network of intersectin...