Rock Bottom Calculator: Minimum Gas by Depth, With the Formula
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
| Segment | Minutes | ATA | Surface-equivalent min | Gas (cu ft) |
|---|---|---|---|---|
| Solve the problem at depth | 1 | 4.03 | 4.03 | 8.06 |
| Ascend to 50 ft | 2 | 3.27 | 6.55 | 13.09 |
| Stop at 50 ft | 1 | 2.52 | 2.52 | 5.03 |
| Stop at 40 ft | 1 | 2.21 | 2.21 | 4.42 |
| Stop at 30 ft | 1 | 1.91 | 1.91 | 3.82 |
| Stop at 20 ft | 1 | 1.61 | 1.61 | 3.21 |
| Stop at 10 ft | 1 | 1.30 | 1.30 | 2.61 |
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 depth | Ascent time | Average depth | Gas needed (cu ft) | Aluminum 80 (77.4 cu ft at 3,000 psi) | HP100 (100 cu ft at 3,442 psi) |
|---|---|---|---|---|---|
| 40 ft | 4 min | 25 ft (1.76 ATA) | 14.1 | 600 psi | 500 psi |
| 60 ft | 5 min | 33 ft (2.00 ATA) | 20.0 | 800 psi | 700 psi |
| 80 ft | 7 min | 43 ft (2.30 ATA) | 32.2 | 1,300 psi | 1,200 psi |
| 100 ft | 8 min | 50 ft (2.52 ATA) | 40.2 | 1,600 psi | 1,400 psi |
Pressures are rounded up to the next 100 psi, in salt water. UTD's own 100-foot example rounds the average to 2.5 ATA; the calculator uses the exact figure, about 2.52.
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 uses UTD's rock bottom method:
- Two divers breathing from one gas supply.
- A stressed breathing rate of 1.0 cubic foot per minute per diver, UTD's emergency planning rate. If your team breathes harder than that, use the higher number.
- One minute at depth to recognize the problem and start sharing gas.
- An ascent from maximum depth to half that depth, rounded to a deeper 10-foot stop, then one minute at each stop to the surface, with the travel included in each minute.
- The average depth of that whole emergency, including the minute at depth, in 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)
- Ascent time. Add one minute for solving the problem at depth to the time it takes to ascend, including the stops.
- Average depth. Work out the average depth of that ascent and convert it to ATA: depth in feet ÷ 33 + 1.
- Gas needed. Multiply ascent time × 1.0 cubic foot per minute × 2 divers × ATA.
- Convert to psi. Divide the gas needed by your cylinder's rated volume, then multiply by its rated pressure.
- Round up to the next 100 psi.
A worked example: 100 feet on an aluminum 80
This is UTD's own dive-planning example: an eight-minute emergency and 40 cubic feet of gas. Here it's converted to pressure in an aluminum 80.
| Ascent segment | Minutes |
|---|---|
| Solve the problem at 100 ft | 1 |
| Ascend from 100 ft to 50 ft | 2 |
| One-minute stops at 50, 40, 30, 20 and 10 ft | 5 |
| Total ascent time | 8 |
- 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.
To plan the whole team at once, including mismatched cylinders, use the gas planner. It shows every step, so you can check your own math.
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 this calculator use 1.0 cubic foot per minute?
Because 1.0 cubic foot a minute is UTD's stressed, emergency planning rate. A diver in trouble breathes hard. If your team breathes harder than that, plan with the higher number.
Does rock bottom include my ascent stops?
Yes. The ascent time includes the one-minute stops every 10 feet from half your maximum depth.
Related reading
Gas Management for Recreational Divers: Rock Bottom, Turn Pressure and Thirds
Plan reserve gas for two divers to reach the next available gas source. Rock bottom, usable gas and turn pressure, with worked examples.
Read articleHow to Plan a Dive: Start With the Exit, Not the Dive
Why DIR divers plan every dive backward from the exit, for reef, wreck, cave and technical dives, and how rock bottom and ratio deco make that work.
Read articleScuba Tank Factors: How to Turn PSI Into Cubic Feet in Your Head
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