Spatial Markov Model of Anomalous Transport Through Random Lattice Networks - Archive ouverte HAL Access content directly
Journal Articles Physical Review Letters Year : 2011

Spatial Markov Model of Anomalous Transport Through Random Lattice Networks

(1) , , (2) , (1)
1
2

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 divergencefree 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.
Fichier principal
Vignette du fichier
PhysRevLett.107.180602-accepted.pdf (488.98 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

insu-00667680 , version 1 (10-08-2021)

Identifiers

Cite

Peter K. Kang, Marco Dentz, Tanguy Le Borgne, Ruben Juanes. Spatial Markov Model of Anomalous Transport Through Random Lattice Networks. Physical Review Letters, 2011, 107, pp.180602. ⟨10.1103/PhysRevLett.107.180602⟩. ⟨insu-00667680⟩
87 View
32 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More