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Invariant Forms of Dissolution Fingers.

Stanisław Żukowski1,2, Silvana Magni1, Florian Osselin3

  • 1University of Warsaw, Institute of Theoretical Physics, Faculty of Physics, Pasteura 5, 02-093 Warsaw, Poland.

Physical Review Letters
|March 25, 2025
PubMed
Summary
This summary is machine-generated.

Dissolution creates fingerlike channels due to feedback between flow and transport. Researchers derived invariant finger shapes using theory and experiments, linking them to karst landscapes and groundwater flow rates.

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Area of Science:

  • Geosciences
  • Fluid Dynamics
  • Chemical Engineering

Background:

  • Fractured and porous media dissolution involves a positive feedback loop.
  • This feedback enhances fluid flow and reactant transport, forming fingerlike channels.

Purpose of the Study:

  • Investigate the formation of dissolution fingers.
  • Derive the invariant shapes of these fingers.
  • Relate experimental findings to natural karst landscapes.

Main Methods:

  • Utilized a microfluidic Hele-Shaw cell with a soluble bottom.
  • Combined reactive-transport theory with conformal mapping techniques.
  • Analyzed experimental data to identify invariant finger shapes.

Main Results:

  • Observed that dissolution finger shapes are invariant over time.
  • Derived the mathematical forms of these invariant shapes.
  • Established a method to determine groundwater flow rate from finger shape.

Conclusions:

  • Dissolution finger formation is governed by invariant geometric properties.
  • The derived theory accurately predicts finger shapes.
  • Finger shape analysis can quantify groundwater flow in natural systems.