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Power-law velocity distributions in fracture networks: Numerical evidence and implications for tracer transport
Center for Nuclear Waste Regulatory Analyses, Southwest Research Institute, P.O. Drawer 28510, San Antonio, 78228-0510, TX, United States.
KTH, Superseded Departments (pre-2005), Land and Water Resources Engineering.ORCID iD: 0000-0002-5665-747x
Swedish Nuclear Fuel and Waste Management Company.ORCID iD: 0000-0001-9251-5367
2002 (English)In: Geophysical Research Letters, ISSN 0094-8276, E-ISSN 1944-8007, Vol. 29, no 14Article in journal (Refereed) Published
Abstract [en]

Velocity distributions in two- and three-dimensional networks of discrete fractures are studied through numerical simulations. The distribution of 1/v, where v is the velocity along particle trajectories, is closely approximated by a power law (Pareto) distribution over a wide range of velocities. For the conditions studied, the power law exponents are in the range 1.1-1.8, and generally increase with increasing fracture density. The same is true for the quantity 1/bv, which is related to retention properties of the rock; b is the fracture half-aperture. Using a stochastic Lagrangian methodology and statistical limit theorems applicable to power-law variables, it is shown that the distributions of residence times for conservative and reacting tracers are related to one-sided stable distributions. These results are incompatible with the classical advection dispersion equation and underscore the need for alternative modeling approaches.

Place, publisher, year, edition, pages
American Geophysical Union (AGU) , 2002. Vol. 29, no 14
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-22012DOI: 10.1029/2002gl014960ISI: 000178964600029Scopus ID: 2-s2.0-0346037238OAI: oai:DiVA.org:kth-22012DiVA, id: diva2:340710
Note

QC 20230630

Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2023-06-30Bibliographically approved

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Cvetkovic, VladimirSelroos, Jan-Olof

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