Striking shapes in nature have been documented to result from chemical precipitation — such as terraced hot springs and stromatolites — which often proceeds via surface-normal growth. Another studied class of objects is those whose shape evolves by physical abrasion — the primary example being river and beach pebbles — which results in shape-dependent surface erosion. While shapes may evolve in a self-similar manner, in neither growth nor erosion can a surface remain invariant. Here we investigate a rare and beautiful geophysical problem that combines both of these processes; the shape evolution of carbonate particles known as ooids. We hypothesize that mineral precipitation, and erosion due to wave-current transport, compete to give rise to novel and invariant geometric forms. We show that a planar (2D) mathematical model built on this premise predicts time-invariant (equilibrium) shapes that result from a balance between precipitation and abrasion. These model results produce nontrivial shapes that are consistent with mature ooids found in nature.
Shape evolution of ooids: a geometric model
A. Sipos,G. Domokos,D. Jerolmack
Published 2018 in Scientific Reports
ABSTRACT
PUBLICATION RECORD
- Publication year
2018
- Venue
Scientific Reports
- Publication date
2018-01-29
- Fields of study
Medicine, Physics, Geology
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
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