Transverse and longitudinal fluid flow modelling in fractured porous media with non‐matching meshes

• DOI: 10.1002/nag.3147
• Publication Date: 2020-09-25T09:27:27Z
• Authors: Behnam V. Damirchi; Marcelo R. Carvalho; Luís A. G. Bitenc...; Osvaldo L. Manzoli; Daniel Dias‐da‐Costa
• Keywords: Classification of discontinuities; Discontinuity (linguistics)

Abstract A new discrete fracture model is introduced to simulate the steady‐state fluid flow in discontinuous porous media. The formulation uses a multi‐layered approach capture effect of both longitudinal and transverse permeability discontinuities pressure distribution. allows independent discretisation mesh discontinuities, which do not need conform. Given that developed at element level, no additional degrees freedom or special integration procedures are required for coupling non‐conforming meshes. proposed shown be reliable regardless discontinuity being higher lower than surrounding domain. Four numerical examples increasing complexity solved demonstrate efficiency accuracy technique when compared with results available literature. Results show method can distribution fractured Furthermore, sensitivity analysis demonstrated stability regarding condition number wide range values parameter.