An extended finite element model for fluid flow in fractured porous media
type: Item
instance of: scholarly article
title: An extended finite element model for fluid flow in fractured porous media
zbMATH Open document ID: 1394.76126
DOI: 10.1155/2015/604212
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper proposes a numerical model for the fluid flow in fractured porous media with the extended finite element method. The governing equations account for the fluid flow in the porous medium and the discrete natural fractures, as well as the fluid exchange between the fracture and the porous medium surrounding the fracture. The pore fluid pressure is continuous, while its derivatives are discontinuous on both sides of these high conductivity fractures. The pressure field is enriched by the absolute signed distance and appropriate asymptotic functions to capture the discontinuities in derivatives. The most important advantage of this method is that the domain can be partitioned as nonmatching grid without considering the presence of fractures. Arbitrarily multiple, kinking, branching, and intersecting fractures can be treated with the new approach. In particular, for propagating fractures, such as hydraulic fracturing or network volume fracturing in fissured reservoirs, this method can process the complex fluid leak-off behavior without remeshing. Numerical examples are presented to demonstrate the capability of the proposed method in saturated fractured porous media.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 6926763
Wikidata QID: Q59119531
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/604212
OpenAlex ID: W1901054114
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description: scientific article; zbMATH DE number 6926763