I wish to apologize for the tone of my recent remarks on this thread. I was under the assumption that a particular post that I made some time ago was simply being ignored and I was irritated that the same issues were brought up over and over again with no acknowledgement of what I had written.
I just went through the thread and I couldn't find the post, although I know I made it. From time to time this site seizes up and posts I make never appear. It's probably happened a dozen times or so over the years and I suspect that it happened to my post.
Being now aware that nobody (e.g. Semo) could never have seen my post. I now can see that I must have been coming across as a loon, making references to a non existant post about vents. So I have constructed a post here than say what I had already thought I said.
*************************************
From Savage EarthFrom this I infer that the Earth generated 10^28 ergs (250,000 megatons) of energy annually.In a single year, earthquakes alone release 10^26 ergs of energy, or the energy of 100,000 Hiroshima-sized nuclear bombs. And that is just one percent of the total amount of energy that reaches the surface from Earth's innards.
This energy reaches the Earth’s surface through thermal conduction and radiative heat transfer through the crust and by convection (movement of hot fluids from the Earth’s interior to the surface). The third is most import and represents what most of us think of as volcanism. A lot of this energy is released at the oceanic ridges, where the crust is thinnest. Here I will assume ALL the energy is transmitted by convection and ALL of it comes up through the ridges. That is, 250,000 megatons of energy is released along the 80,000 km of oceanic ridge.
The length of the Gakkel ridge is 1800 km, so I allocate 2.25% (=1800/80000) of the annual total energy of 250,000 megatons to get a value of 5600 megatons annually for volcanic energy potentially available for Arctic warming.
I now apply this energy (from the bottom) to 500,000 square miles of ocean 4000 meters deep to see how much warming this energy will produce. The answer is 0.001 degrees C per year.
Now lets apply a 1 watt/sq meter greenhouse forcing (from the top) to the surface waters (10 m deep) over 500000 square miles of ocean plus the atmosphere above it. The heat capacity of the atmosphere is quite small, equivalent to a 2.6 meter depth of seawater. Thus, the thermal mass being warmed by the forcing is equivalent to a 12.6 m depth of water.
The amount of warming produced by this forcing is 0.6 degrees C per year, 600 times greater than the volcanic warming.
In other words, energy coming from the Earth’s interior exerts an impact 600 times smaller than greenhouse forcings. And this assumes all of the Earth's energy gets delivered out through the ridges, which is not the case. In other words I give every break to the idea that volcanic heat could play a signficant role in melting ice. It cannot.
The reason for this is because of where the energy is applied. The volcanic energy is applied at the bottom of the ocean. To have an effect on surface ice, it has to warm up an enormous mass of seawater having a very large heat capacity. Climate forcings like the greenhouse effect or aerosols are applied to the top of the ocean. The only thing between these forcings and and the surface is a rather tenuous atmosphere, which holds as much energy as 2.6 meter depth of ocean. The thermal inertia provided by the ocean is some 1500 times bigger than that provided by the atmosphere.
The SAME energy applied as a forcing is 1500 times more effective at warming the surface (or melting surface ice). This simply follows from the unalterable fact that the ocean is deep. You cannot get around the deep ocean compared to the shallow atmosphere. Volcanic phenomenon at the bottom of the ocean cannot have much effect on the surface, unless the amount of energy released is really really large, so large as to overcome the enormous thermal inertia of all that water.
But it so happens that there is a mechanism through which this energy can be saved up and then released all at once--a volcanic eruption. So while it is true that the ongoing thermal effects of volcanism at the bottom of the ocean are some 600 times weaker than the forcing effects at the ocean's surface, if you stored up the volcanic energy over 3000 years and then released it over a year, the volcanic effect would be five times bigger than the forcing.
Storing up this energy is what a volcano does. Such a volcano would indeed be a big ole volcano as the Rani suggested. And this is the only way volcanic energy could get around the thermal inertia of the ocean to actually affect the melting ice. Such an energy release would be enormous, however. It would kill lots of people. In other words it would have to be noticed. And since it has not been, it hasn't happened.
You cannot simply dismiss the thermal inertia of all that water with a wave of your hand by invoking unknowables. Doing so means one is not serious. But since I actually hadn't posted this, there was no way readers could have known that they were doing this.