[Physics] Are bubbles in ice at a lower or higher pressure than atmospheric pressure

bubblesicepressure

When water phase-transitions into ice it expands. The water usually contains dissolved air. Freezing forces the air out of the solution into bubbles.

Are these bubbles at a lower or higher pressure than atmospheric pressure?

I can see arguments both ways: when a washer expands, both the outer and inner radius increase. This would imply bubbles are at a lower pressure, but perhaps the ice expands differently and squeezes the bubble and it is at a higher pressure. However, if they were squeezed I would expect them to try to expand, and propagate along weak fraction lines in the ice, and I do not see this – bubbles are usually round, suggesting low pressure environments.

Edit: Two papers on the subject, but neither sheds direct light on the answer:

  • "Bubbles and bubble pressures in Antarctic glacier ice" (A. J. Gow, J. Glaciol. 7 no. 50 (1968), pp. 167-182) shows that the bubbles shrink with increasing pressure. These are therefore presumably high-pressure bubbles. However, the internal bubble pressure is due to ice compressing as more ice forms on top, not just the freezing process.

  • "Air Bubbles in Ice" (A. E. Carte, Proc. Phys. Soc. 77 no. 3 (1961), p. 757) talks about bubble formation, but not internal bubble pressure.

Best Answer

Fluid inclusion analysis techniques are used by geologists to gather information on the pressure, volume, and temperature conditions during the crystallization of the mineral (here ice) containing the inclusion.

There are three assumptions that usually made in dealing with fluid inclusions:

• The composition of the trapped fluid has not changed since inclusion formation

• The density of the trapped fluid has not changed since inclusion formation

• The volume of the inclusion has not changed since inclusion formation

Natural fluid inclusions will contain multiple chemical components (impurities) and may contain multiple phases (gas, liquids, precipitated crystals).

The analysis of fluid inclusions (say to determine the pressure of formation) therefore involves measuring the composition and density and then applying the appropriate equation of state calculations to calculate unknowns.

Fluid inclusion measurements and analysis are not simple to perform. I would not think you can say whether the pressure is higher or lower than the formation pressure without doing a complete analysis.

The analysis of air bubbles in ice are important for the study of the past composition of the atmosphere and climate change.

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