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Rock Bottom Calculator: Minimum Gas by Depth, With the Formula

Rock bottom is the gas you keep in reserve so two divers sharing one supply can reach the surface, or the next gas source, from the worst point of the dive. UTD multiplies ascent time, stressed breathing rate, two divers and average depth in atmospheres: 800 psi at 60 feet and 1,600 psi at 100 feet in an aluminum 80.

Rock bottom is the foundation of a gas plan. Every UTD class uses it. For how to turn it into a turn pressure, see Gas Management for Recreational Divers.

Rock bottom calculator

Illustrates UTD’s reserve-gas formula with a simplified emergency profile: one minute at depth, travel to half maximum depth rounded to a deeper 10-foot stop, then one-minute stop intervals including travel, for two divers breathing 1.0 cubic foot per minute each. Salt water; pressure rounded up to the next 100 psi. This is not a Min Deco or decompression schedule.

Rock bottom: 1,600 psi / 110.3 bar

Salt-water segment breakdown
SegmentMinutesATASurface-equivalent minGas (cu ft)
Solve the problem at depth14.034.038.06
Ascend to 50 ft23.276.5513.09
Stop at 50 ft12.522.525.03
Stop at 40 ft12.212.214.42
Stop at 30 ft11.911.913.82
Stop at 20 ft11.611.613.21
Stop at 10 ft11.301.302.61

Ascent time: 8 min at an average of 2.52 ATA. Gas needed: 40.2 cu ft. Unrounded pressure: 1560 psi.

This is a planning aid, not a substitute for training. Review your gas plan with your instructor.

Rock bottom by depth

Max depthAscent timeAverage depthGas needed (cu ft)Aluminum 80 (77.4 cu ft at 3,000 psi)HP100 (100 cu ft at 3,442 psi)
40 ft4 min25 ft (1.76 ATA)14.1600 psi500 psi
60 ft5 min33 ft (2.00 ATA)20.0800 psi700 psi
80 ft7 min43 ft (2.30 ATA)32.21,300 psi1,200 psi
100 ft8 min50 ft (2.52 ATA)40.21,600 psi1,400 psi

These are calculated examples for the stated emergency profile, not a UTD-issued reserve table. Pressures are rounded up to the next 100 psi using salt-water pressure conversions. The 100-foot source example rounds average pressure to 2.5 ATA; the calculator integrates its segments to approximately 2.515 ATA.

The table stops at 100 feet on purpose. UTD keeps the equivalent narcotic depth at 100 feet or less and doesn't use air or nitrox deeper than that; beyond 100 feet, UTD divers breathe helium mixes, and gas planning is part of that training.

The assumptions

Every rock bottom number rests on assumptions. This calculator illustrates UTD's reserve-gas formula using the following simplified emergency profile:

  • Two divers breathing from one gas supply.
  • A stressed breathing rate of 1.0 cubic foot per minute per diver. UTD plans with 0.5 cubic feet per minute at rest, 0.75 while swimming and 1.0 under stress. Use the stressed planning rate even when the drill feels calm.
  • One minute at depth to recognize the problem and start sharing gas.
  • A simplified emergency profile based on maximum depth: travel to half depth, rounded to a deeper 10-foot stop, then one minute at each stop. Travel between these stops is included in the following minute. This model does not calculate a decompression obligation.
  • Time-weighted average depth of the modeled emergency profile, including the problem-solving minute, converted to atmospheres absolute (ATA).

If your team breathes more heavily, dives in colder water or plans longer stops, your rock bottom goes up.

The formula

UTD's rock bottom formula is:

Rock bottom = ascent time × stressed breathing rate × 2 divers × average depth (ATA)

  1. Ascent time. Add one minute for solving the problem at depth to the time it takes to ascend, including the stops.
  2. Average depth. Work out the average depth of that ascent and convert it to ATA: depth in feet ÷ 33 + 1.
  3. Gas needed. Multiply ascent time × 1.0 cubic foot per minute × 2 divers × ATA.
  4. Convert to psi. Divide the gas needed by your cylinder's rated volume, then multiply by its rated pressure.
  5. Round up to the next 100 psi.

A worked example: 100 feet on an aluminum 80

UTD's dive-planning material illustrates an eight-minute emergency profile and approximately 40 cubic feet of gas. Here, that gas requirement is converted to AL80 pressure using 77.4 cubic feet at 3,000 psi. Cylinder ratings matter: the same gas volume produces a different pressure in a different cylinder.

Ascent segmentMinutes
Solve the problem at 100 ft1
Ascend from 100 ft to 50 ft2
One-minute stops at 50, 40, 30, 20 and 10 ft5
Total ascent time8
  • Average depth of the ascent: 50 feet, about 2.5 ATA
  • Gas needed: 8 minutes × 1.0 cu ft/min × 2 divers × 2.5 ATA = 40 cubic feet
  • Aluminum 80: 40 ÷ 77.4 × 3,000 = 1,550 psi, rounded up to 1,600 psi

Start that dive with 3,000 psi and only 1,400 psi is usable. That's why a single aluminum 80 runs out of usable gas quickly at 100 feet.

How to adjust for your team

  • Different cylinder: divide the gas needed by that cylinder's rated volume, then multiply by its rated pressure.
  • Different depth: rebuild the ascent profile, add up the minutes and find the new average depth.
  • Mismatched tanks: plan around the diver whose cylinder reaches rock bottom first.
  • Technical dives: rock bottom gets you to the next available gas source, such as a decompression bottle, rather than to the surface. That planning is part of technical training.

Know your own breathing rate. Measure it on a few relaxed dives, and you'll see how much margin the stressed rate builds in.

Common rock bottom mistakes

  • Calculating for one diver. The whole point is to cover a teammate who has no gas.
  • Using relaxed breathing rates. A calm practice drill does not justify reducing the emergency planning rate.
  • Using one reserve at all depths. The table shows how fast it grows.
  • Rounding down. Always round up.
  • Not sharing numbers before the dive. Everyone on the team should know everyone's rock bottom, and the team ascends on or before it.

Learn to plan it in the water

Gas planning, rock bottom and gas sharing with a long hose are part of Essentials of Recreational Diving. For more advanced gas planning and ascent strategies, see Essentials of Tech.

Frequently asked questions

Is rock bottom the same as minimum gas?

Yes. Different agencies and instructors also call it minimum gas or minimum gas reserve.

Why is rock bottom lower in an HP100 than an aluminum 80?

The gas needed is the same. An HP100 holds more gas for each psi, so the same volume shows up as a lower number on the gauge.

Why does UTD plan with 1.0 cubic foot per minute?

Because that's a realistic breathing rate under stress. UTD's planning rates are 0.5 cubic feet per minute at rest, 0.75 while swimming and 1.0 in an emergency, and rock bottom plans for the emergency.

Does rock bottom include my ascent stops?

Yes. The ascent time includes the one-minute stops every 10 feet from half your maximum depth.

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