Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational Physics Year : 2018

Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions

Abstract

In this work, we extend, to two-phase flow, the single-phase Darcy flow model proposed in [26], [12] in which the (d − 1)-dimensional flow in the fractures is coupled with the d-dimensional flow in the matrix. Three types of so called hybrid-dimensional two-phase Darcy flow models are proposed. They all account for fractures acting either as drains or as barriers, since they allow pressure jumps at the matrix-fracture interfaces. The models also permit to treat gravity dominated flow as well as discontinuous capillary pressure at the material interfaces. The three models differ by their transmission conditions at matrix fracture interfaces: while the first model accounts for the nonlinear two-phase Darcy flux conservations, the second and third ones are based on the linear single phase Darcy flux conservations combined with different approximations of the mobilities. We adapt the Vertex Approximate Gradient (VAG) scheme to this problem, in order to account for anisotropy and heterogeneity aspects as well as for applicability on general meshes. Several test cases are presented to compare our hybrid-dimensional models to the generic equi-dimensional model, in which fractures have the same dimension as the matrix, leading to deep insight about the quality of the proposed reduced models.
Fichier principal
Vignette du fichier
PUB-HAL-v2.pdf (22.87 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01518930 , version 1 (05-05-2017)
hal-01518930 , version 2 (09-11-2017)

Identifiers

Cite

Konstantin Brenner, Julian Hennicker, Roland Masson, Pierre Samier. Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions. Journal of Computational Physics, 2018, ⟨10.1016/j.jcp.2017.12.003⟩. ⟨hal-01518930v2⟩
585 View
309 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More