Transport in rough self-affine fractures

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dc.creatorDrazer, German
dc.creatorKoplik, Joel
dc.date2001-10-10
dc.date.accessioned2026-07-07T02:43:07Z
dc.date.available2026-07-07T02:43:07Z
dc.descriptionTransport properties of three-dimensional self-affine rough fractures are studied by means of an effective-medium analysis and numerical simulations using the Lattice-Boltzmann method. The numerical results show that the effective-medium approximation predicts the right scaling behavior of the permeability and of the velocity fluctuations, in terms of the aperture of the fracture, the roughness exponent and the characteristic length of the fracture surfaces, in the limit of small separation between surfaces. The permeability of the fractures is also investigated as a function of the normal and lateral relative displacements between surfaces, and is shown that it can be bounded by the permeability of two-dimensional fractures. The development of channel-like structures in the velocity field is also numerically investigated for different relative displacements between surfaces. Finally, the dispersion of tracer particles in the velocity field of the fractures is investigated by analytic and numerical methods. The asymptotic dominant role of the geometric dispersion, due to velocity fluctuations and their spatial correlations, is shown in the limit of very small separation between fracture surfaces.
dc.descriptionsubmitted to PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0110213
dc.identifierhttp://arxiv.org/abs/cond-mat/0110213
dc.identifierPhys. Rev. E 66, 026303 (2002)
dc.identifierdoi:10.1103/PhysRevE.66.026303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18370
dc.subjectStatistical Mechanics
dc.subjectFluid Dynamics
dc.subjectGeophysics
dc.titleTransport in rough self-affine fractures
dc.typetext

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