NDLI: Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model

Content Provider	Springer Nature Link
Author	Maryška, Jiří Severýn, Otto Vohralík, Martin
Copyright Year	2004
Abstract	We introduce a discrete fracture network model of stationary Darcy flow in fractured rocks. We approximate the fractures by a network of planar circle disks, which is generated on the basis of statistical data obtained from field measurements. We then discretize this network into a mesh consisting of triangular elements placed in three-dimensional space. We use geometrical approximations in fracture planes, which allow for a significant simplification of the final triangular meshes. We consider two-dimensional Darcy flow in each fracture. In order to accurately simulate the channeling effect, we assign to each triangle an aperture defining its hydraulic permeability. For the discretization we use the lowest order Raviart-Thomas mixed finite element method. This method gives quite an accurate velocity field, which is computed directly and which satisfies the mass balance on each triangular element. We demonstrate the use of this method on a model problem with a known analytical solution and describe the generation and triangulation of the fracture network and the computation of fracture flow for a particular real situation.
Starting Page	217
Ending Page	234
Page Count	18
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	8
Issue Number	3
e-ISSN	15731499
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2004-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	fractured medium Darcy flow stochastic discrete fracture network model channeling effect mixed-hybrid finite element method Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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