The effects of an underwater explosion depend on a number of things, including distance from the explosion, the energy of the explosion, the depth of the explosion, and the depth of the water.
Underwater explosions are categorized by the depth of the explosion. Shallow underwater explosions are those where a crater formed at the water's surface is large in comparison with the depth of the explosion. Deep underwater explosions are those where the crater is small in comparison with the depth of the explosion, or nonexistent.
The overall effect of an underwater explosion depends on depth, the size and nature of the explosive charge, and the presence, composition and distance of reflecting surfaces such as the seabed, surface, thermoclines, etc. This phenomenon has been extensively used in antiship warhead design since an underwater explosion (particularly one underneath a hull) can produce greater damage than an above-surface one of the same explosive size. Initial damage to a target will be caused by the first shockwave; this damage will be amplified by the subsequent physical movement of water and by the repeated secondary shockwaves or bubble pulse. Additionally, charge detonation away from the target can result in damage over a larger hull area.
Underwater nuclear tests close to the surface can disperse radioactive water and steam over a large area, with severe effects on marine life, nearby infrastructures and humans. The detonation of nuclear weapons underwater was banned by the 1963 Partial Nuclear Test Ban Treaty and it is also prohibited under the Comprehensive Nuclear-Test-Ban Treaty of 1996.
Shallow underwater explosion 
The Baker nuclear test at Bikini Atoll in July 1946 was a shallow underwater explosion, part of Operation Crossroads. A 20 kiloton warhead was detonated in a lagoon which was approximately 200 ft (61 m) deep. The first effect was illumination of the water because of the underwater fireball. A rapidly expanding gas bubble created a shock wave that caused an expanding ring of apparently dark water at the surface, called the slick, followed by an expanding ring of apparently white water, called the crack. A mound of water and spray, called the spray dome, formed at the water's surface which became more columnar as it rose. When the rising gas bubble broke the surface, it created a shock wave in the air as well. Water vapor in the air condensed as a result of a Prandtl-Glauert singularity, making a spherical cloud that marked the location of the shock wave. Water filling the cavity formed by the bubble caused a hollow column of water, called the chimney or plume, to rise 6,000 ft (1,800 m) in the air and break through the top of the cloud. A series of surface waves moved outwards from the center. The first wave was about 94 ft (29 m) high at 1,000 ft (300 m) from the center. Other waves followed, and at further distances some of these were higher than the first wave. For example, at 22,000 ft (6,700 m) from the center, the ninth wave was the highest at 6 ft (1.8 m). Gravity caused the column to fall to the surface and caused a cloud of mist to move outwards rapidly from the base of the column, called the base surge. The ultimate size of the base surge was 3.5 mi (5.6 km) in diameter and 1,800 ft (550 m) high. The base surge rose from the surface and merged with other products of the explosion, to form clouds which produced moderate to heavy rainfall for nearly one hour.
Deep underwater explosion 
An example of a deep underwater explosion is the Wahoo test, which was carried out in 1958 as part of Operation Hardtack I. The nuclear device was detonated at a depth of 500 ft (150 m) in deep water. There was little evidence of a fireball. The spray dome rose to a height of 900 ft (270 m). Gas from the bubble broke through the spray dome to form jets which shot out in all directions and reached heights of up to 1,700 ft (520 m). The base surge at its maximum size was 2.5 mi (4.0 km) in diameter and 1,000 ft (300 m) high.
The heights of surface waves generated by deep underwater explosions are greater because more energy is delivered to the water. During the Cold War, underwater explosions were thought to operate under the same principles as tsunamis, potentially increasing dramatically in height as they move over shallow water, and flooding the land beyond the shoreline. Later research and analysis suggested that water waves generated by explosions were different from those generated by tsunamis and landslides. Méhauté et al. conclude in their 1996 overview Water Waves Generated by Underwater Explosion that the surface waves from even a very large offshore undersea explosion would expend most of their energy on the continental shelf, resulting in coastal flooding no worse than that from a bad storm.
Unless it breaks the water surface while still a hot gas bubble, an underwater nuclear explosion leaves no trace at the surface but hot, radioactive water rising from below. This is always the case with explosions deeper than about 2,000 ft (610 m).
During such an explosion, the hot gas bubble quickly collapses because:
- The water pressure is enormous deeper than 2,000 feet.
- The expansion reduces gas pressure, which decreases temperature.
- Rayleigh–Taylor instability at the gas/water boundary causes "fingers" of water to extend into the bubble, increasing the boundary surface area.
- Water is incompressible.
- Vast amounts of energy are absorbed by phase change (water becomes steam at the boundary).
- Expansion quickly becomes unsustainable because the amount of water pushed outward increases with the cube of the blast-bubble radius.
Since water is not compressible, moving this much of it out of the way so quickly absorbs a massive amount of energy—all of which comes from the pressure inside the expanding bubble. Eventually, the water pressure outside the bubble causes it to collapse back into a small sphere and then rebound, expanding again. This is repeated several times, but each rebound contains only about 40% of the energy of the previous cycle. At its maximum diameter (during the first oscillation), a very large nuclear bomb exploded in very deep water creates a bubble about a half-mile wide in about one second, and then contracts (which also takes one second).
Blast bubbles from deep nuclear explosions become mere hot water in about six seconds and leave no "regular" bubbles to float up to the surface. This is sooner than blast bubbles from conventional explosives:
This drastic loss of energy between cycles is caused in part by the extreme force of a nuclear explosion pushing the bubble wall outward supersonically (faster than the speed of sound in saltwater). This causes Rayleigh–Taylor instability. That is, the smooth inner wall surface becomes turbulent and fractal, with fingers and branches of cold ocean water extending into the bubble. That cold water cools the hot gas inside and causes it to condense. The bubble becomes less of a sphere and looks more like the Crab Nebula, the deviation of which from a smooth surface is also due to Rayleigh–Taylor instability.
As one might expect, large, shallow explosions expand faster than deep, small ones:
Deep explosions have longer oscillations:
The water pressure just outside the bubble varies dramatically:
Note that despite being in direct contact with a nuclear explosion, the water of the expanding bubble wall does not boil. This is because the pressure inside the bubble exceeds (by far) the vapor pressure of ocean water. The water touching the blast can only boil during contraction. This boiling is like evaporation, cooling the bubble wall, and it is another reason that an oscillating blast bubble contains only 40% of the energy it had in the previous cycle.
During these hot gas oscillations, the bubble continually rises ("migrates") for the same reason a mushroom cloud rises: it is less dense. This causes the blast bubble never to be perfectly spherical. Instead, the bottom of the bubble is flatter, and during contraction, it even tends to "reach up" toward the blast center. In the last contraction cycle, the bottom of the bubble touches the top before the sides have fully collapsed, and the bubble becomes a torus in its last second of life. After that, all that remains of a large nuclear explosion is a mass of hot water, slowly rising from the cold depths of the ocean.
See also 
- Le Méhauté, Bernard; Wang, Shen (1995). Water waves generated by underwater explosion. World Scientific Publishing. ISBN 981-02-2083-9.
- RMCS Precis on Naval Ammunition, Jan 91
- "'Test Baker', Bikini Atoll". CTBTO Preparatory Commission. Retrieved 31 May 2012.
- "Is it possible to test a nuclear weapon without producing radioactive fallout?". How stuff works. Retrieved 31 May 2012.
- Glasstone, Samuel; Dolan, Philip (1977). "Descriptions of nuclear explosions". The effects of nuclear weapons (Third Edition ed.). Washington: U.S. Department of Defense; Energy Research and Development Administration.
- Glasstone, Samuel; Dolan, Philip (1977). "Shock effects of surface and subsurface bursts". The effects of nuclear weapons (Third Edition ed.). Washington: U.S. Department of Defense; Energy Research and Development Administration.
- Everything in the "dynamics" section is from Analysis of various models of underwater nuclear explosions (1971), U.S. Department of Defense
Further reading 
- Glasstone, Samuel; Dolan, Philip (1977). The effects of nuclear weapons (Third Edition ed.). Washington: U.S. Department of Defense; Energy Research and Development Administration.
- Le Méhauté, Bernard; Wang, Shen (1995). Water waves generated by underwater explosion. World Scientific Publishing. ISBN 981-02-2083-9.—Volume 10 of the Advanced Series on Ocean Engineering