Reduced‐Order Models Unravel the Joint Impact of Aperture Heterogeneity and Shear‐Thinning Rheology on Fracture‐Scale Flow Metrics - INSU - Institut national des sciences de l'Univers Accéder directement au contenu
Article Dans Une Revue (Article De Synthèse) Water Resources Research Année : 2024

Reduced‐Order Models Unravel the Joint Impact of Aperture Heterogeneity and Shear‐Thinning Rheology on Fracture‐Scale Flow Metrics

A. Lenci
Yves Méheust
  • Fonction : Auteur
  • PersonId : 905962
V. Di Federico
V. Ciriello

Résumé

Subsurface industrial operations often make use of complex engineered fluids. In fractured media, the hydraulic behavior of a geological fracture is affected by the shear‐thinning (ST) rheology of such fluids, depending on the imposed pressure gradient. Besides, owing to the stochastic nature of heterogeneities in the fracture's local apertures, obtaining the generic behavior of a fracture under ST flow requires large statistics of fractures whose aperture fields have the same statistical properties, namely their mean value, standard deviation, correlation length L c , and Hurst exponent (which controls the scale invariances at scales smaller than L c ). The first such Monte Carlo study was recently proposed by Lenci, Putti, et al. (2022) using a new lubrication‐based model relying on a non‐linear Reynolds equation. This model describes the flow of an Ellis fluid, with both a low shear rate quasi‐Newtonian viscosity plateau and a large shear rate power law ST behavior, as measured for engineered fluids such as biopolymer solutions (e.g., xanthan gum). Here we aim to obtain the dependence of the fracture transmissivity and its dispersion over the statistics, as well as of the flow correlation length, on fracture closure, geometry correlation length, and applied pressure gradient, over a vast volume of the parameter space, and in a simple mathematical form. Employing reduced‐order models based on the polynomial chaos expansion theory to this aim, we discuss the properties of the obtained topographies of interest in the parameter space.
Fichier principal
Vignette du fichier
Water Resources Research - 2024 - Lenci - Reduced‐Order Models Unravel the Joint Impact of Aperture Heterogeneity and.pdf (1.6 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Licence : CC BY - Paternité

Dates et versions

insu-04431399 , version 1 (01-02-2024)

Licence

Paternité

Identifiants

Citer

A. Lenci, Yves Méheust, V. Di Federico, V. Ciriello. Reduced‐Order Models Unravel the Joint Impact of Aperture Heterogeneity and Shear‐Thinning Rheology on Fracture‐Scale Flow Metrics. Water Resources Research, 2024, 60 (1), pp.e2023WR036026. ⟨10.1029/2023WR036026⟩. ⟨insu-04431399⟩
29 Consultations
6 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More