Physics
Headward growth and branching in subterranean channels
Document Type
Article
Abstract
We investigate the erosive growth of channels in a thin subsurface sedimentary layer driven by hydrodynamic drag toward understanding subterranean networks and their relation to river networks charged by ground water. Building on a model based on experimental observations of fluid-driven evolution of bed porosity, we focus on the characteristics of the channel growth and their bifurcations in a horizontal rectangular domain subject to various fluid source and sink distributions. We find that the erosion front between low- and high-porosity regions becomes unstable, giving rise to branched channel networks, depending on the spatial fluctuations of the fluid flow near the front and the degree to which the flow is above the erodibility threshold of the medium. Focusing on the growth of a network starting from a single channel, and by identifying the channel heads and their branch points, we find that the number of branches increases sublinearly and is affected by the source distribution. The mean angles between branches are found to be systematically lower than river networks in humid climates and depend on the domain geometry.
Publication Title
Physical Review E
Publication Date
11-17-2017
Volume
96
Issue
5
ISSN
2470-0045
DOI
10.1103/PhysRevE.96.052904
Keywords
flows in porous media, granular flows, sediment transport
Repository Citation
Kudrolli, Arshad; Ionkin, Nikolay; and Panaitescu, Andreea, "Headward growth and branching in subterranean channels" (2017). Physics. 97.
https://commons.clarku.edu/faculty_physics/97
Cross Post Location
Student Publications
