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.
https://hal-insu.archives-ouvertes.fr/insu-00372030 Contributor : Isabelle DubigeonConnect 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
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⟩