Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections - INSU - Institut national des sciences de l'Univers Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2015

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

Abstract

We 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.
Fichier principal
Vignette du fichier
PhysRevE.92.022148-accepted.pdf (4.52 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

insu-02442412 , version 1 (17-02-2021)

Identifiers

Cite

Peter K Kang, Marco Dentz, Tanguy Le Borgne, Ruben Juanes. Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 92 (2), pp.022148. ⟨10.1103/PhysRevE.92.022148⟩. ⟨insu-02442412⟩
52 View
21 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More