From Balmaseda et al.,2013 http://onlinelibrary.wiley.com/doi/10.1002/grl.50382/abstract

Fig. 14

Ocean heat content vs time

This graph shows the ocean heat content in upto different depths as a function of time.

I wanted to know how much went in different layers since 2000. So I differenced the graph, et viola (a large violin...)

Ocean heat content of different layers vs time

to get the heat into different layers. Looks like 0-300,300-700m warmed from 2000-2006 and 2006-2010 sees 700-2000m warming.

For comparison, I include Levitus(2012) OHC

Now I wonder whats going on below 2000m ...

So on to deeper(sorry) matters. Kouketsu(doi:10.1029/2010JC006464, 2011) give 1e22J/yr from 1990s to 2000s for full ocean, 0.8e21J/yr below 3000m, 0.4e21J/yr below 4000m .

ocean heat content and depth

Purkey(doi: 10.1175/JCLI-D-12-00834.1, 2013) say 14% (33Tw+/-14Tw) south of 30S latitude below 2000 m.

Antarctic Bottom Water Heat increase Deep ocean is a player, moves faster than we suppose, the Kraken stirs.

Some approximations:

Here's what Byron had to say

"Until the latter fire shall heat the deep..."

Below the thunders of the upper deep,
Far, far beneath in the abysmal sea,
His ancient, dreamless, uninvaded sleep
The Kraken sleepeth: faintest sunlights flee
About his shadowy sides; above him swell
Huge sponges of millennial growth and height;
And far away into the sickly light,
From many a wondrous and secret cell
Unnumber'd and enormous polypi
Winnow with giant arms the lumbering green.
There hath he lain for ages, and will lie
Battening upon huge sea-worms in his sleep,
Until the latter fire shall heat the deep;
Then once by man and angels to be seen,
In roaring he shall rise and on the surface die.