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Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections

AuthorsKang, Peter K.; Dentz, Marco ; Le Borgne, Tanguy; Juanes, Rubén
KeywordsLagrange multipliers
Fracture network
Lagrangian velocity
Non-fickian transports
Issue Date28-Aug-2015
PublisherAmerican Physical Society
CitationPhysical Review - Section E - Statistical Nonlinear and Soft Matter Physics 92(2): Article number 022148 (2015)
AbstractWe investigate transport on regular fracture networks that are characterized by heterogeneity in hydraulic conductivity. We discuss the impact of conductivity heterogeneity and mixing within fracture intersections on particle spreading. We show the emergence of non-Fickian transport due to the interplay between the network conductivity heterogeneity and the degree of mixing at nodes. Specifically, lack of mixing at fracture intersections leads to subdiffusive scaling of transverse spreading but has negligible impact on longitudinal spreading. An increase in network conductivity heterogeneity enhances both longitudinal and transverse spreading and leads to non-Fickian transport in longitudinal direction. Based on the observed Lagrangian velocity statistics, we develop an effective stochastic model that incorporates the interplay between Lagrangian velocity correlation and velocity distribution. The model is parameterized with a few physical parameters and is able to capture the full particle transition dynamics. © 2015 American Physical Society.
Publisher version (URL)10.1103/PhysRevE.92.022148
Appears in Collections:(IDAEA) Artículos
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