Chapter

Transport in a singal fracture

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/9780199666515.003.0004
Transport in a singal fracture

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This chapter determines the transport properties of a single fracture. Permeability is calculated by solving the Stokes equation numerically in random fractures generated, as indicated in Chapter 2. The Reynolds approximation is also detailed and its results are systematically compared with the former exact ones. Conductivity of fractures are obtained by solving the Laplace equation and basically the same developments are made as for permeability. Some indications are given on dispersion when diffusion and convection interact to disperse a solute. Master curves are provided which enable the reader to estimate the properties of a fracture with known properties. Attention is focused on Gaussian fractures, though most real fractures are self-affine, but since their properties are much more difficult to obtain, they are only addressed briefly in the last section devoted to the extensions.

Keywords: fracture; permeability; conductivity; dispersion; Reynolds approximation

Chapter.  7856 words.  Illustrated.

Subjects: Condensed Matter Physics

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