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Shape evolution of ooids: a geometric model.

András A Sipos1,2, Gábor Domokos3,4, Douglas J Jerolmack5

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This study models ooid shape evolution, revealing how mineral precipitation and wave-current abrasion create unique, invariant geometric forms. These findings explain the complex shapes of natural ooids through a balance of growth and erosion processes.

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Area of Science:

  • Geophysics
  • Geochemistry
  • Sedimentology

Background:

  • Natural shapes often form via surface-normal growth (e.g., hot springs) or shape-dependent erosion (e.g., pebbles).
  • Self-similar shape evolution does not allow for invariant surfaces during growth or erosion.

Purpose of the Study:

  • To investigate the combined processes of mineral precipitation and physical abrasion in shaping carbonate particles called ooids.
  • To hypothesize that competing growth and erosion mechanisms lead to novel, invariant geometric forms in ooids.

Main Methods:

  • Development of a planar (2D) mathematical model simulating ooid shape evolution.
  • Incorporation of mineral precipitation and erosion due to wave-current transport into the model.

Main Results:

  • The model predicts time-invariant (equilibrium) shapes resulting from a balance between precipitation and abrasion.
  • These predicted shapes are non-trivial and consistent with naturally occurring mature ooids.

Conclusions:

  • A balance between mineral precipitation and physical abrasion can lead to invariant geometric shapes in ooids.
  • The developed mathematical model successfully explains the formation of complex ooid morphologies observed in nature.