RJ,
I did some searching for what we can find. As you asked about the science press, here is a very basic overview from NatGeo. Ice melt is not mentioned, but the effect of increased volume due to higher temperatures is (as well as the impacts of higher temperatures on marine life, weather systems and the stability of ecological niches).
http://ocean.nationalgeographic.com/oce ... ture-rise/Also, good old Wikipedia cites a study review that claims that 30% of sea level rise in the last 20 year is from thermal expansion, and 55% from continental ice melt.
http://en.wikipedia.org/wiki/Effects_of ... _on_oceansAnyway, to the mathematics. I do not where this leads yet, so it may give a result that suggests density is a minute factor, but let us try.
The density of water is measured in kg/m^3 (kilograms per cubic metre). Pure water has a density of about 1000 kg/m^3 at 4 Celcius (because the original SI units are largely based on using water). Sea water salinity is, on average 3.5%, which is 35000 parts per million (source
http://en.wikipedia.org/wiki/Seawater ).
Now, it turns out that the oceans are made up of different layers. 90% of the volume of sea water is below the ‘thermocline’, meaning that it stays at a fairly constant low temperature (between 0 and 3 Celcius). As water is a poor conductor of heat, this means that it is not likely to be affected (at least not in terms of the next century). But the temperature of the rest (10% by volume, or 130 million km^3) varies from -2 to 26 degrees, with an average of 17 Celcius (source
http://www.windows2universe.org/earth/Water/temp.html ). This water is more likely to warm up as temperatures rise as it is the water that moves around through currents, mixing and circulating, and is closer to the surface and so absorbs sunlight.
Now, I found a handy seawater density calculator here -
http://www.csgnetwork.com/h2odenscalc.htmlI will now list my assumptions and starting data. I will use metric units because they are a lot easier to convert without creating rounding errors. I assume no change in the mass of water (so no ice melt from land ice, no net transfer to/from the atmosphere & rivers etc). I assume no impact from atmospheric pressure. I assume no change in the salinity levels. I assume we start at the average temperature (17 celcius) and look at the effect in 1 degree intervals. Based on the initial figure, I will calculate the mass of water we are looking at, and then from that work out what the effect is on volume of an increase in temperature. So the starting volume is 130 million km^3. Salinity is 35000 ppm, temperature is 17 celcius.
The initial density calculation is 1025.543 kg/m^3. That equates to 1.025543 tonnes per m^3. Making each km^3 1.025543 billion tonnes. Giving the mass of water above the thermocline as 133,320,590 billion tonnes.
If we increase the temperature to 18 Celcius, the density becomes 1025.300. This makes our seawater take up 130.031 million km^3. An increase of 31,000 km^3
At 19 Celcius, the density is 1025.050, the volume would be 130.066 million km^3. An increase of 35,000 km^3
At 20 Celcius, the density is 1024.790, the volume would be 130.096 million km^3. An increase of 30,000 km^3
At 21 Celcius, the density is 1024.532, the volume would be 130.129 million km^3. An increase of 33,000 km^3
At 22 Celcius, the density is 1024.247, the volume would be 130.164 million km^3. An increase of 35,000 km^3
What I’m seeing is that the approximate increase in volume per degree Celsius in temperature is 30-35,000 km^3, with rounding errors probably causing the variation. The average is about 32,900 km^3
The email writer came up with a required increase of 80,000 miles^3 in volume. 1 mile^3 is 4.17km^3. So his target for a 3 foot sea level rise is 333,600 km^3. I have checked his maths and he’s about right - using a more accurate average radius of the Earth and staying in km, I get 326,441km^3 (78,283 miles^3) for a 3 foot expansion over 70% of the surface.
About 10% of that can be accounted for in a single degree Celcius of warming in the upper 10% layer of water in the oceans, based on my maths.