Skip to Main content Skip to Navigation
Journal articles

Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields

Abstract : We define an effective Lagrangian statistical model in phase space (x, t, v) for describing transport inhighly heterogeneous velocity fields with complex spatial organizations. The spatial Markovian nature (and temporal non-Markovian nature) of Lagrangian velocities leads to an effective transport description that turns out to be a correlated continuous time random walk. This model correctly captures the Lagrangian velocity correlation properties and is demonstrated to represent a forward model for predicting transport in highly heterogeneous porous media for different types of velocity organizations.
Document type :
Journal articles
Complete list of metadata
Contributor : Isabelle Dubigeon Connect in order to contact the contributor
Submitted on : Thursday, January 13, 2022 - 10:27:42 AM
Last modification on : Friday, March 4, 2022 - 2:35:21 PM
Long-term archiving on: : Thursday, April 14, 2022 - 6:27:19 PM


Publisher files allowed on an open archive


Distributed under a Creative Commons Attribution 4.0 International License



Tanguy Le Borgne, Marco Dentz, Jesus Carrera. Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields. Physical Review Letters, American Physical Society, 2008, 101, pp.090601. ⟨10.1103/PhysRevLett.101.090601⟩. ⟨insu-00372030⟩



Record views


Files downloads