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

Kang, Peter K.; Dentz, Marco; Le Borgne, Tanguy; Juanes, Ruben

doi:10.1103/physreve.92.022148

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

Journal Article · Fri Aug 28 00:00:00 EDT 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/physreve.92.022148· OSTI ID:1505822

Kang, Peter K. ^[1]; Dentz, Marco ^[2]; Le Borgne, Tanguy ^[3]; Juanes, Ruben ^[4]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Korea Inst. of Science and Technology, Seoul (Korea, Republic of)
Spanish National Research Council (CSIC), Barcelona (Spain). Inst. of Environmental Assessment and Water Research (IDAEA)
Univ. of Rennes 1 (France). Geosciences Rennes
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We investigate here 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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Spanish National Research Council (CSIC), Barcelona (Spain)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); European Research Council (ERC)

Grant/Contract Number:: SC0003907; 617511

OSTI ID:: 1505822

Alternate ID(s):: OSTI ID: 1213280

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, Issue 2; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 78 works

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