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Haldane's Decompression Tables
Bob

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Bob

27. Kanama 2026BE
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Haldane's Decompression Tables

Caisson workers and divers had been crippled and killed for fifty years by something nobody could see. Men worked for hours under pressure, came up feeling fine, and collapsed an hour later with agonising joint pain, paralysis or death — and because the symptoms arrived AFTER the work, the cause was long misattributed to cold, exhaustion or bad air. In 1908 John Scott Haldane established what was actually happening: nitrogen dissolves into the body under pressure in proportion to that pressure, different tissues absorb and release it at very different rates, and if the ambient pressure drops faster than the gas can leave, it comes out of solution as bubbles inside the diver. His model treats the body as a set of theoretical compartments with different half-times, and his central practical finding was counter-intuitive — a staged ascent with stops is safer than a slow continuous one.
Hejuru
5 hours 30 minutes

Amabwiriza

1

See the bubbles come out of solution

The whole mechanism is visible in a bottle of fizzy water, and the analogy is exact rather than loose.

  1. Take a sealed carbonated bottle and look at it: clear liquid, no bubbles, gas held in solution by pressure.
  2. Open it slowly and watch bubbles form throughout the liquid.
  3. Reseal, shake, and open fast — note how much more violently it degasses.
  4. Now open a second bottle slowly, in stages, closing the cap between each release.

Gas stays dissolved while the pressure holds it there, and comes out of solution when the pressure drops — and how fast it comes out depends on how fast you drop it. The staged release produces far less foaming than the sudden one.

That last observation IS decompression practice. The diver is the bottle, nitrogen is the carbonation, and ascending is opening the cap.

The analogy has one limit worth stating: in the bottle the gas escapes at the surface, while in a diver bubbles form inside tissue and inside blood vessels, where they block circulation and press on nerves. The bends is not discomfort from gas — it is a mechanical injury caused by bubbles in places that have no room for them.

Ibikoresho by'iyi ntambwe:

Carbonated Water (Sealed Bottle)Carbonated Water (Sealed Bottle)2 amacupa

Ibikoresho bikenewe:

Smartphone with Slow-Motion VideoSmartphone with Slow-Motion Video
Clear Safety GlassesClear Safety Glasses
2

Model the tissue compartments and watch them load

Loading Jupyter Notebook...

Ibikoresho bikenewe:

Desktop ComputerDesktop Computer
3

The ascent decision path

Trace the loop. At every moment there is a depth you may not ascend above, set by whichever compartment is currently most loaded, and that compartment CHANGES during the ascent as the fast ones clear and the slow ones become dominant.

The final branch is the one that catches people. A diver who surfaces is not reset — the slow compartments are still carrying gas for many hours, so a second dive that day starts part-loaded. Repetitive dive tables exist entirely to account for that residual, and treating the second dive as if it were the first is a classic way to get bent.

Flying after diving is the same problem with the sign reversed: a cabin pressurised to 2400 m is a further ascent, applied to a body that has not finished off-gassing. The standard guidance is 12 to 24 hours on the ground, and it comes straight out of the slow compartments in the model above.

Flow

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Ibikoresho bikenewe:

Desktop ComputerDesktop Computer
4

Build a recompression demonstration

The treatment for the bends is the disease reversed, and it is worth seeing why.

  1. Take a clear rigid pressure vessel with a sealed carbonated liquid inside that has begun to bubble.
  2. Raise the external pressure with a compressor and watch the bubbles.
  3. Hold the pressure, then release it slowly in stages.

Raising the pressure makes the bubbles shrink and redissolve; releasing it slowly lets the gas leave without re-forming them. That is precisely what a recompression chamber does to a bent diver — push them back down, dissolve the bubbles, then bring them up on a schedule slow enough that the gas leaves through the lungs instead of forming bubbles again.

Oxygen is given during treatment because it does two jobs at once: it displaces nitrogen in the breathing mix so the gradient out of the tissue is steeper, and it perfuses tissue that bubbles have starved.

Haldane’s own contribution here was administrative as much as physiological. He produced TABLES — a schedule any dive supervisor could follow without understanding the mathematics. Converting a physiological model into a printed card that a working man could use is what actually stopped people dying, and it is a reminder that the deliverable is rarely the theory.

Ibikoresho by'iyi ntambwe:

Carbonated Water (Sealed Bottle)Carbonated Water (Sealed Bottle)1 icupa
Clear Pressure Vessel (Rated)Clear Pressure Vessel (Rated)1 igice

Ibikoresho bikenewe:

Air Compressor (30 Gallon)Air Compressor (30 Gallon)
Pressure GaugePressure Gauge
Smartphone with Slow-Motion VideoSmartphone with Slow-Motion Video
Face ShieldFace Shield
Clear Safety GlassesClear Safety Glasses
5

Narcosis and oxygen toxicity — the other two limits

Decompression is not the only thing depth does to a diver, and the other two arrive without warning.

  1. Compute the partial pressure of nitrogen at 30, 40 and 60 m.
  2. Compute the partial pressure of oxygen at the same depths on air.
  3. Mark where each crosses its accepted limit.

Nitrogen narcosis begins around 30 m and worsens steadily — it is an anaesthetic effect, and its danger is that impaired judgement cannot assess itself. Divers describe a false sense of wellbeing while doing something foolish.

Oxygen becomes toxic above roughly 1.4 bar partial pressure, which on air is about 57 m, and the first symptom can be a convulsion. A seizure underwater with a mouthpiece is usually fatal regardless of how much gas remains.

Both are solved by changing the mix rather than the schedule: helium replaces nitrogen to remove narcosis, and the oxygen fraction is REDUCED for deep work so its partial pressure stays tolerable. A deep trimix is deliberately hypoxic at the surface — it would not sustain you on the boat, and only becomes breathable at depth.

That is a genuinely strange design constraint and worth sitting with: the gas is safe only within a depth window, dangerous above it AND below it. Handling it correctly is why deep mixed-gas diving is a profession rather than a hobby.

Ibikoresho bikenewe:

Desktop ComputerDesktop Computer
Digital Caliper 6-InchDigital Caliper 6-Inch

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2

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7

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