Scalar signatures of chaotic mixing in porous media - CLOSE Géosciences Rennes - Dynamique, Imagerie et Modélisation des Systèmes Environnementaux Accéder directement au contenu
Article Dans Une Revue ArXiv e-prints Année : 2020

Scalar signatures of chaotic mixing in porous media

J Heyman
  • Fonction : Auteur
T Le Borgne
  • Fonction : Auteur
D R Lester
  • Fonction : Auteur

Résumé

Steady laminar flows through porous media spontaneously generate Lagrangian chaos at pore scale, with qualitative implications for a range of transport, reactive and biological processes. The characterization and understanding of mixing dynamics in these opaque environments is an outstanding challenge. We address this issue by developing a novel technique based upon high-resolution imaging of the scalar signature produced by push-pull flows through porous media samples. Owing to the rapid decorrelation of particle trajectories in chaotic flows, the scalar image measured outside the porous material is representative of in-situ mixing dynamics. We present a theoretical framework for estimation of the Lypapunov exponent based on extension of Lagrangian stretching theories to correlated aggregation. This method provides a full characterization of chaotic mixing dynamics in a large class of porous materials.
Fichier principal
Vignette du fichier
2011.11283.pdf (6.91 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03450736 , version 1 (30-11-2020)
hal-03450736 , version 2 (26-11-2021)

Identifiants

  • HAL Id : hal-03450736 , version 1

Citer

J Heyman, T Le Borgne, D R Lester. Scalar signatures of chaotic mixing in porous media. ArXiv e-prints, 2020. ⟨hal-03450736v1⟩
60 Consultations
69 Téléchargements

Partager

Gmail Facebook X LinkedIn More