Spatial Markov Model of Anomalous Transport Through Random Lattice Networks
Name
Kang-2011-Letters-Spatial Markov Model of Anomalous Transport Through.pdf
Size
636.9 KB
Format
Adobe PDF
Checksum (MD5)
09fc5a4470c1fc50da0361fcab30bdde
Author(s)
Kang, Peter Kyungchul
Juanes, Ruben
Dentz, Marco
Borgne, Tanguy Le
Date Issued
October 2011
Journal
Physical Review Letters
Publisher
American Physical Society (APS)
Citation
Kang, Peter et al. “Spatial Markov Model of Anomalous Transport Through Random Lattice Networks.” Physical Review Letters 107.18 (2011): n. pag. Web. 27 Jan. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
Flow through lattice networks with quenched disorder exhibits a strong correlation in the velocity field, even if the link transmissivities are uncorrelated. This feature, which is a consequence of the divergence-free constraint, induces anomalous transport of passive particles carried by the flow. We propose a Lagrangian statistical model that takes the form of a continuous time random walk with correlated velocities derived from a genuinely multidimensional Markov process in space. The model captures the anomalous (non-Fickian) longitudinal and transverse spreading, and the tail of the mean first-passage time observed in the Monte Carlo simulations of particle transport. We show that reproducing these fundamental aspects of transport in disordered systems requires honoring the correlation in the Lagrangian velocity.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.107.180602
