von Schuckmann has a review out on earth energy imbalance and accumulation of heat in the oceans:
"The study obtains a consistent long-term Earth system heat gain over the period 1971–2018, with a total heat gain of 358±37 ZJ, which is equivalent to a global heating rate of 0.47±0.1 W m−2. Over the period 1971–2018 (2010–2018), the majority of heat gain is reported for the global ocean with 89 % (90 %), with 52 % for both periods in the upper 700 m depth, 28 % (30 %) for the 700–2000 m depth layer and 9 % (8 %) below 2000 m depth. Heat gain over land amounts to 6 % (5 %) over these periods, 4 % (3 %) is available for the melting of grounded and floating ice, and 1 % (2 %) is available for atmospheric warming. Our results also show that EEI is not only continuing, but also increasing: the EEI amounts to 0.87±0.12 W m−2during 2010–2018. Stabilization of climate, the goal of the universally agreed United Nations Framework Convention on Climate Change (UNFCCC) in 1992 and the Paris Agreement in 2015, requires that EEI be reduced to approximately zero to achieve Earth’s system quasi-equilibrium. The amount of CO2 in theatmosphere would need to be reduced from 410 to 353 ppm to increase heat radiation to space by 0.87 W m−2, bringing Earth back towards energy balance."
"Our results show that EEIis not only continuing, but also increasing. Over the period 1971–2018 average EEI amounts to 0.47±0.1 W m−2, but it amounts to 0.87±0.12 W m−2 during 2010–2018 (Fig. 8).Concurrently, acceleration of sea-level rise (WCRP, 2018;Legelais et al., 2020), accelerated surface warming, record temperatures and sea ice loss in the Arctic (Richter-Mengeet al., 2019; WMO, 2020; Blunden and Arndt, 2020) and ice loss from the Greenland ice sheet (King et al., 2020), and intensification of atmospheric warming near the surface and in the troposphere (Steiner et al., 2020) have been – for example – recently reported. To what degree these changes are intrinsically linked needs further evaluations"
doi: 10.5194/essd-12-2013-2020
open access, read all about it. Worth it for the references alone. Earth energy imbalance and OHC continue increasing.
sidd