Chapter

Transport in fracture Networks

Pierre M. Adler, Jean-François Thovert and Valeri V. Mourzenko

in Fractured Porous Media

Published in print October 2012 | ISBN: 9780199666515
Published online January 2013 | e-ISBN: 9780191748639 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199666515.003.0005
Transport in fracture Networks

Show Summary Details

Preview

This chapter is devoted to the permeability of fracture networks. The general equations and boundary conditions which apply to networks are given. The flow inside each fracture is described by a two dimensional Darcy equation. The Snow equation which is valid for infinite fractures is derived. Then, the meshing of one fracture is described when the intersections with the other fractures are taken into account. The discretization of the local equations and of the boundary conditions is made by the familiar finite volume technique. The numerical tools are first applied to isotropically and uniformly distributed networks of monodisperse fractures. The most important result is that when expressed in terms of the dimensionless density, permeability depends only very slightly on the fracture shape when it is convex. The chapter ends with a survey of the major extensions of this result to other kinds of fracture networks.

Keywords: fracture network; permeability; fracture meshing; Snow equation; dimensionless density

Chapter.  9272 words.  Illustrated.

Subjects: Condensed Matter Physics

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.