Redox front propagation and banding modalities
type: Item
instance of: scholarly article
title: Redox front propagation and banding modalities
zbMATH Open document ID: 0587.76156
DOI: 10.1016/0167-2789(86)90063-1
author: B. George
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: Oxygenated waters flowing through a reduced sandstone cause propagating redox fronts. Mathematical reaction-transport models of these fronts studied here show a number of nonlinear phenomena including one-parameter families of constant-velocity fronts, decelerating fronts and two types of front instabilities leading to pattern formation. These redox front phenomena are examples of nonlinear wave propagation and self- organization. Redox fronts in nature are economically important because they can trap accumulations of metallic ores. Furthermore, they are but one example of a wider class of water-rock interaction systems rich in nonlinear reaction-transport phenomena. Analytical results are presented on conservation law and free boundary methods to study the velocity and profiles of the waves. A new model of the Ostwald supersaturation- nucleation-depletion cycle is presented that incorporates features of Liesegang banding not predicted by other formulations: these include finite band widths and continuous undulatory as well as discrete banding.
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3943432
zbMATH Keywords: Oxygenated waters
zbMATH Keywords: reduced sandstone
zbMATH Keywords: propagating redox fronts
zbMATH Keywords: reaction- transport models
zbMATH Keywords: nonlinear phenomena
zbMATH Keywords: one-parameter families of constant-velocity fronts
zbMATH Keywords: decelerating fronts
zbMATH Keywords: types of front instabilities
zbMATH Keywords: pattern formation
zbMATH Keywords: nonlinear wave propagation
zbMATH Keywords: self- organization
zbMATH Keywords: accumulations of metallic ores
zbMATH Keywords: water-rock interaction
zbMATH Keywords: Analytical results
zbMATH Keywords: conservation law
zbMATH Keywords: free boundary methods
zbMATH Keywords: supersaturation-nucleation-depletion cycle
zbMATH Keywords: Liesegang banding
zbMATH Keywords: finite band widths
zbMATH Keywords: continuous undulatory
zbMATH Keywords: discrete banding
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90063-1
OpenAlex ID: W2049860765
cites work: Q4089232
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description: scientific article; zbMATH DE number 3943432