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Morphological Attractors in Natural Convective Dissolution.

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Soluble bodies in fluids form dissolution pinnacles, similar to karst formations. New exact solutions reveal these shapes form without regularization, matching experimental data and aiding geological age estimation.

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Area of Science:

  • Geophysics
  • Fluid Dynamics
  • Materials Science

Background:

  • Soluble bodies in fluids form dissolution pinnacles, resembling natural karst formations.
  • Pinnacle formation is driven by interface motion and convective flows from solute descent.
  • Previous models suggested shock formation and regularization for finite tip curvature.

Purpose of the Study:

  • Investigate the formation of dissolution pinnacles.
  • Identify exact solutions governing pinnacle shape dynamics.
  • Compare theoretical solutions with experimental data.

Main Methods:

  • Analysis of interface motion and convective flows.
  • Derivation of exact solutions for shape dynamics in 2D and 3D.
  • Comparison of theoretical predictions with experimental measurements.

Main Results:

  • A class of exact solutions acting as attractors for shape dynamics was identified.
  • Solutions exhibit large, finite tip curvature without regularization.
  • Theoretical results show remarkable agreement with experimental data.

Conclusions:

  • The derived exact solutions accurately describe dissolution pinnacle formation.
  • The findings challenge previous assumptions about regularization requirements.
  • The relationship between initial and final shapes may provide insights into geological structure dating.