The Thousand-Year Rain

The original post

In the author’s words

Richard Raab

Written before any of the numbers on this site were worked out. The margin shows where the numbers landed. Notes marked in red are places where the thinking has changed since.

I did some nerding out on this once when I considered writing a Waterworld prequel fanfic for fun. Yes, I know how that sounds. This is the best I could come up with without turning Earth into a sterilized steam ball. The big constraint here is that we can’t simply smooth out the surface of the Earth because we know that Mount Everest still exists in the movie. There is enough water to cover the entire surface if land is smooth, but even if we went that route, it would be temporary unless we stop plate tectonics. And without plate tectonics, we have bigger problems.1

So the answer is to add water to the system. The pre-deluge civilization was advanced enough to mine and move material around the solar system. Asteroids, moons, maybe some of the dwarf planets. A project that large would mostly be automated. You cannot put enough people on every mining site, refinery, and cargo route to run it by hand and we know people don’t do well out in space for extended periods without some kind of artificial gravity.2

With all that going on, water would have been just one resource among many that they were gathering and processing. Since it is in space, the water would mostly be in the form of ice. The ice wasn’t meant to end up on Earth. To get to Waterworld sea levels, you need multiple oceans worth of water. That’s more than you could realistically get from the asteroid belt. So the ice would be coming from farther out, probably from icy moons like Europa, Ganymede and so on.3

Earth was the depot. Ice and other resources arrived close to Earth orbit, got processed and then was sent back out to wherever it was actually needed. Maybe Earth had the biggest processing facilities, the best orbital infrastructure or it was just centrally located for the civilization’s shipping routes.

The other important thing is that the ice cannot simply fall out of orbit. It doesn’t matter a whole lot whether it comes down as one large object or a lot of small ones. The orbital energy has to go somewhere. To deorbit enough ice to raise the oceans to the level of Waterworld would add enough energy to wipe out all life on Earth and vaporize enough water that we’d end up with a massive atmosphere.4

So the depot had equipment to catch incoming cargo, slow it down, and dump the heat back into space before doing anything with the resources. The resources could then be processed. With water, it would have to be purified to remove metals, other contaminants and all that, because if we don’t have that step then all the water that eventually ends up on Earth would be full of ammonia, methane, carbons and so on, which would create an unbreathable atmosphere. So once purified, the resources are stored in orbit, and then shipped out again.5

Then civilization collapses. A worldwide plague or something like that. Something that reduces civilization to a level where they no longer have the technology to manage the system.6

The mines are still running. The freight is still on its way. The depot is still able to receive and process it. But the shipping network is gone, and there is no one left to tell the system that it needs to stop accepting deliveries. Or maybe some of it keeps working for the non-water products.

At that point, the system has a problem. It can keep stacking up water in orbit until it becomes dangerous, or it can use its emergency overflow procedure and get rid of it safely. So it starts venting processed water into Earth’s atmosphere after it has already been slowed down.7

Nothing necessarily has to be broken. The system is doing what it was designed to do, following an emergency procedure that was never meant to run for centuries.8 It was supposed to be a temporary measure until human supervisors could fix the issue.9 So the rain keeps coming, sea levels keep rising and every generation loses more land than the one before it.

By the time of the movie, people might see the old orbital depot or the line of waiting cargo overhead, but have no idea what it is. It is just something the Ancients left in the sky.10

Eventually the system runs out of assigned mining targets, loses enough power or maintenance capability or starts missing enough incoming cargo that the backlog is depleted. Then the rain stops.11

The problem now is the timescale. This would take probably between 500 years to a couple thousand years. Too long for stuff like cigarettes, canned meat, oil and gasoline that the smokers used to have survived.12 And almost certainly too short to have the Mariner with his fully formed gills to have developed so quickly unless we assume that there was some pocket of technology left before the deluge who saw what was going to happen, and they were able to genetically engineer people that might be able to survive. It’s a stretch though.13

There are still other issues with this. For example, with the water levels in Waterworld, the ozone layer would be a lot thinner for close to a century after the flood stops, so surface radiation would be a lot worse. Most people would probably be blind by middle age, assuming they live that long. The high UV also means less phytoplankton, which is the base of the food chain, so there would be a lot less ocean life than we currently have. Luckily the ozone problem goes away fairly quickly, so maybe by the time of the movie, that’s resolved and is why people aren’t walking around with massive cataracts.14

Another big issue is that the worldwide ocean would be far less salty than current oceans but still not fresh water, which would be an extinction event. Anything that can’t move between fresh and salt water would likely die out.15 This almost works with the movie since the water is fairly empty of life. The giant water monster they show is probably not possible.16

Fast forward a million years and life will probably have started to adapt. Ten million years and the oceans might be full of life again. Plate tectonics is still a thing so we’d eventually see small volcanic islands but they would be rare.17

But given the world of the movie and what I’ve come up with so far, humanity is pretty much doomed. Even if the Mariner were not the only one of his kind, the odds of him and others like him being able to interbreed with the remaining humans to produce something that can live is pretty slim, though finding dry land at the end does improve their odds somewhat.18

A reader replied

That after paragraph after paragraph of careful physics, the monster got a single sentence of hand-waving, when it should have been the easiest thing in the film to explain: a fast-breeding fish, pushed to extremes by all the added water, grown enormous, able to live in fresh and salt water, and hunting people now and then.

The author’s answer

That’s fair. Just spit balling but originally my concern with the fish monster was size. When the oceans first rise up and engulf the continents, we’d have a massive pulse of nutrients into the oceans and would see a temporary explosion of life. Eventually they will subside, probably within a century. So by the time the fish monster could have evolved, the boom would be over and there would be far less food available to it. But after thinking about it, I think it’s still believable that it would find enough food to sustain itself.19

The actual problem with the fish monster is complexity, not size. It is too radically different to have evolved in the time available. And if you extend the timeline far enough for it to evolve, you have extended it far enough that humans would be something else too and in the movie, it’s clear that the Mariner is either unique or rare. Most humans are still human, so it hasn’t been long enough. So one solution is that it did not evolve. It relocated.

The ocean gained roughly eight kilometers of depth, and two things followed. Pressure made the bottom uninhabitable. Everything that lived on the seafloor was crushed in place. The middle depths also are uninhabitable because a warm stratified ocean loses oxygen at depth.20 The ocean’s volume quadrupled and its habitable volume collapsed into a relatively thin layer at the surface.21

We could assume the monster was always down there. Nobody had ever seen it because nobody went that deep and we know that we are discovering new species in the depths regularly enough that this could be feasible. The monster is at the surface now because the surface is the only place left with oxygen in it. This would also suggest that it is not the only thing that came up, so as long as things coming from the deep are able to adapt to the reduced pressure, we could possibly have krakens as well.22

The trigger

Why the valve opens

A depot that cannot ship has two choices. One of them is safe.

After the collapse, every part of the depot still works. It catches what the mines send, brakes it, throws the heat back to space and purifies the water. Only the last step is gone. Nothing ships out, so processed water piles up in orbit.

The system can keep stacking it there until the stockpile itself becomes dangerous, or it can run its emergency overflow procedure and get rid of it safely. It does the safe thing. It vents the water into the atmosphere below, already slowed and already cold.

The procedure is a temporary measure. It is meant to run until a human supervisor fixes the problem, and only a human can end it. There are none left.

The depot’s process line after the collapse Inbound ice and ore is caught, braked, its orbital energy sent to space, and purified. All of that still works. Processed water goes into storage in orbit, which is above its safe limit. The line out to shipping is dead: no carrier. From storage there are two options. Hold, keeping the water in orbit until it becomes dangerous, is shut. Emergency overflow is open: it vents the processed water, already slowed, into the atmosphere below. DEPOT · PROCESS LINE after the collapse INBOUND CATCHinbound iceand ore BRAKEslowed down,held in orbit REJECT HEATorbital energysent to space PURIFYmetals, ammonia,methane out LIMIT STORE IN ORBIT ABOVE SAFE LIMIT NO CARRIER SHIP OUTshippingnetwork gone SHUT OPEN OPTION A · NOT TAKEN HOLD stack it in orbit until it becomes dangerous OPTION B · RUNNING EMERGENCY OVERFLOW vent it, already slowed, into the air below THE ATMOSPHERE BELOW · RELEASED AT 76 KM KEY running dead valve open valve shut Nothing on this board has failed. DEPOT · PROCESS LINE after the collapse INBOUND CATCHinbound ice and ore BRAKEslowed, held in orbit REJECT HEATorbital energy to space PURIFYmetals, ammonia, methane out STORE IN ORBIT ABOVE SAFE LIMIT NO CARRIER SHIP OUT OPTION A · NOT TAKEN HOLD stack it in orbit until it becomes dangerous OPTION B · RUNNING EMERGENCY OVERFLOW vent it, already slowed, into the air below Nothing on this board has failed. THE ATMOSPHERE BELOW · 76 KM
  • Lit: Overflow active
  • Lit: Temporary measure
  • Lit: Storage above limit
  • Lit: No carrier
  • Dark: Supervisor response
  • Dark: Stop
  • Dark: Fault
The depot after the collapse, drawn as a plant’s mimic board, with its annunciator panel. Everything the machine can do is lit. What stays dark is the answer from a supervisor, the stop only a person can order, and a fault, because nothing has failed.

The long version

Six numbers that hold it up

Each step forces the next. Break any one of them and the world in the film cannot exist.

Constraint 1 of 6

How much water

5.7 × 1021 kg

Raising the sea 8,150 m, to within 700 m of Everest’s summit, takes about 5.7 × 1021 kg of water. That is about four times all the water on Earth today.

The figure includes a 43% upward correction, because the crust sinks under the added load. Pour water onto a planet and the floor it sits on goes down.

Earth, all of Earth’s water today, and the water the flood needs, as spheres to scale Earth is 12,742 km across. All of Earth’s water today would make a ball about 1,380 km across. The flood needs a ball about 2,220 km across, about four times the mass. EARTH 12,742 km across EARTH’S WATER TODAY 1.4 × 10²¹ kg · 1,380 km THE FLOOD 5.7 × 10²¹ kg · 2,220 km about four times as much 1,000 km EARTH · 12,742 KM ACROSS same scale, mostly off the top about four times as much EARTH’S WATER TODAY 1.4 × 10²¹ kg 1,380 km THE FLOOD 5.7 × 10²¹ kg 2,220 km 1,000 km
Spheres to scale. Each ball holds the stated mass of water. Earth is drawn at the same scale, most of it out of frame.

Constraint 2 of 6

Where it comes from

Not the asteroid belt

The asteroid belt cannot supply it. The entire main belt is about 2.4 × 1021 kg, and most of that is rock.

The water has to come from the outer solar system, from the ice moons. Europa holds about 2.6 × 1021 kg of water, less than half of what is needed. Ganymede holds about 7 × 1022 kg, about twelve times it.

Candidate sources compared with what the flood needs, as spheres to scale The whole main asteroid belt, even counted as if it were all water, is 42 percent of the flood. Europa’s ocean is about 46 percent. Ganymede’s water is about twelve times the flood. THE WHOLE MAIN BELT 2.4 × 10²¹ kg, mostly rock 42% of the flood if it were all water EUROPA’S OCEAN about 2.6 × 10²¹ kg 46% of the flood GANYMEDE’S WATER about 7 × 10²² kg about twelve times the flood the flood, for scale the flood, for scale GANYMEDE’S WATER about 7 × 10²² kg about twelve times the flood THE WHOLE MAIN BELT 2.4 × 10²¹ kg mostly rock 42% if all water EUROPA’S OCEAN about 2.6 × 10²¹ kg 46% of the flood
Same scale as above. The amber ring is the flood. Where the ring is larger than the ball, the source is too small.

Constraint 3 of 6

The energy floor

3.6 × 1029 J

Every kilogram delivered to Earth’s surface releases about 6.3 × 107 J of gravitational binding energy. That is a floor. It does not depend on whether the cargo arrives as a mountain or a mist, and breaking it into small pieces does not help.

For the whole flood that comes to about 3.6 × 1029 J, roughly twenty times the energy needed to boil the entire resulting ocean off the planet.

Earth as a magma world with a steam atmosphere

Delivered ballistically over 500 years

≈ 190× the sunlight Earth absorbs

≈ 940 K at the surface

Not a waterworld. A magma world with a steam atmosphere.

6.3 × 10⁷ J/kgreleased by every kilogram

× 5.7 × 10²¹ kgthe flood

= 3.6 × 10²⁹ Jabout 20 × what it takes to boil the ocean off

Absorbed by Earth, the flood would have to be spread over about ten million years to stay survivable.

Earth as an ocean world

Braked at the depot

Orbital energy radiated back to space before release

The ice comes down cold

A thousand-year flood the planet can survive.

Therefore

The depot brakes the incoming mass and radiates the recovered energy back out to space before it releases anything. This is the only reason a flood lasting centuries is possible.

It is not a background detail. It is the assumption everything else stands on. If the braking and heat-rejection machinery fails, the story ends in sterilization.

Constraint 4 of 6

How it comes down

Cold ice, not vapor

Once the orbital energy is rejected, what is left depends on the phase and the altitude of release.

Warm vapor released high gives up its latent heat when it condenses, about 2.5 × 106 J for every kilogram, which would force a flood lasting about a million years. Cold ice at 100 K does the opposite. It soaks up heat as it warms and melts, about 7.5 × 105 J per kilogram. Cold ice is a heat sink, not a source.

The only heating left is the fall after release. The two cancel.

Heat added to or taken from the planet per kilogram delivered, by delivery form Warm vapor condensing high adds 2.5 million joules per kilogram. Ice at 100 kelvin, warming and melting, takes away 750 thousand joules per kilogram. Falling 76 kilometers after release adds 750 thousand. Ice released at 76 kilometers nets about zero. Warm vapor, condensing high: +2.5 × 10⁶ J/kg Warm vapor, condensing high +2.5 × 10⁶ J/kg Ice at 100 K, warming and melting: −7.5 × 10⁵ J/kg Ice at 100 K, warming and melting −7.5 × 10⁵ J/kg Falling 76 km after release: +7.5 × 10⁵ J/kg Falling 76 km after release +7.5 × 10⁵ J/kg Ice released at 76 km, net: about zero Ice released at 76 km, net ≈ 0 cools the planet heats the planet Warm vapor, condensing high: +2.5 × 10⁶ J/kg Warm vapor, condensing high +2.5 × 10⁶ J/kg Ice at 100 K, warming and melting: −7.5 × 10⁵ J/kg Ice at 100 K, warming and melting −7.5 × 10⁵ J/kg Falling 76 km after release: +7.5 × 10⁵ J/kg Falling 76 km after release +7.5 × 10⁵ J/kg Ice released at 76 km, net: about zero Ice released at 76 km, net ≈ 0 cools the planet heats the planet
Show the numbers
Release formHeat to Earth, J/kgForces a timescale of
Warm vapor, high (condensation)+2.5 × 10⁶about 1 million years
Cold ice, 100 K (warming and melting)−7.5 × 10⁵essentially free
The fall from 76 km+7.5 × 10⁵—
Cold ice released at 76 km, net≈ 0—

Constraint 5 of 6

The setpoint

76 km

The heat of the fall and the cold of the ice cancel at a release altitude of about 76 km. Above that, the planet warms. Below it, the planet freezes.

g × 76 km ≈ 7.5 × 10⁵ J/kg= heat taken up by ice from 100 K

That altitude is a specification. Somebody chose it.

The overflow valve was engineered to dump into an inhabited atmosphere without cooking or freezing anyone underneath, and it held that setpoint faithfully for a thousand years while drowning everything.

Temperature of the atmosphere by altitude, with the 76 km release setpoint The standard temperature profile from the ground to 100 km. Ice is released at 76 km in the mesosphere, falls, and sublimates near the stratopause at about 50 km and 270 K, the band where HOx chemistry already dominates ozone loss. The tropical tropopause cold trap near 17 km only stops water rising from below. TROPOSPHERE STRATOSPHERE MESOSPHERE THERMOSPHERE HOx already dominates ozone loss here 0 km 20 km 40 km 60 km 80 km 100 km 150 K 200 K 250 K 300 K Cold trap, ~17 km tropical tropopause stops water rising from below RELEASE · 76 KM higher: the fall heats the planet lower: the ice cools it ice sublimates near the stratopause ~50 km · ~270 K
Standard temperature profile. The release line is the specification. The hatched band is where the ice turns to vapor, in the part of the sky where water already does the most damage to ozone.

Constraint 6 of 6

The ozone

Thinned, not gone

The stratosphere is normally bone dry, 3 to 5 parts per million, because the tropical tropopause freezes water out. That cold trap only works on water coming up from below. Ice released at 76 km comes down from above, and turns to vapor exactly where it does the most harm.

A wet stratosphere also forms ice clouds, globally and all year, and runs the chemistry behind the Antarctic ozone hole over the whole planet.

The HOx catalytic cycle Water and excited oxygen make two hydroxyl radicals. Hydroxyl plus ozone makes hydroperoxyl and oxygen. Hydroperoxyl plus atomic oxygen makes hydroxyl and oxygen again, so the hydroxyl comes back and the cycle repeats. H₂O + O(¹D) → 2 OH OH HO₂ + O₃ → + O₂ + O → + O₂ the OH comes back

H₂O + O(¹D) → 2 OHOH + O₃ → HO₂ + O₂HO₂ + O → OH + O₂

The OH regenerates, so one water molecule destroys ozone again and again.

Severely thinned, not eliminated. Ozone production from oxygen and sunlight never stops, so the layer settles at a much lower equilibrium. And it recovers. Once delivery stops, the stratosphere dries out within a decade and the ozone rebuilds over roughly a century. High UV is a flood-era condition only. The film takes place after the recovery.

Why the specification did not catch it

Rated
weeks
Run
1,000 years
Thermal neutrality is instantaneous. Ozone loss is cumulative, and its recovery takes years. A dump lasting weeks does nothing. The specification was correct for its rated duty cycle. Drawn to the same scale, four weeks would be about a tenth of a pixel wide. The rated bar is widened so it can be seen at all.

Next · Years 0–1200

The Thousand Years

What a thousand years of a correctly functioning emergency procedure does to a planet, era by era.