Skip to Main content Skip to Navigation
New interface
Journal articles

Dilution of reactive plumes: evolution of concentration statistics under diffusion and nonlinear reaction

Tomás Aquino 1, * Camille Bouchez 1 Tanguy Le Borgne 1 
* Corresponding author
Abstract : Concentration fields of solutes in porous media often exhibit large fluctuations, driven by physical and chemical heterogeneity from the pore to the Darcy scale. For many applications, ranging from reactive transport modeling to toxicology, the knowledge of mean concentrations is not sufficient, and quantifying concentration variability is necessary. The probability density function Highlights • We introduce a general framework quantifying the link between concentration PDFs and spatial concentration profiles. • We derive a dynamical equation for the evolution of the concentration PDF under diffusion and nonlinear reaction in 1D. • We derive analytical predictions for the concentration PDF and its moments using a weakcoupling approximation.
Document type :
Journal articles
Complete list of metadata

https://hal-insu.archives-ouvertes.fr/insu-03616929
Contributor : Isabelle Dubigeon Connect in order to contact the contributor
Submitted on : Wednesday, March 23, 2022 - 9:35:54 AM
Last modification on : Thursday, June 2, 2022 - 2:48:17 PM
Long-term archiving on: : Friday, June 24, 2022 - 6:28:29 PM

File

ConcentrationPDF_hal.pdf
Files produced by the author(s)

Identifiers

Citation

Tomás Aquino, Camille Bouchez, Tanguy Le Borgne. Dilution of reactive plumes: evolution of concentration statistics under diffusion and nonlinear reaction. Transport in Porous Media, In press, ⟨10.1007/s11242-022-01762-y⟩. ⟨insu-03616929⟩

Share

Metrics

Record views

49

Files downloads

12