Abstract
Satellite altimetry observations, including the upcoming Surface Water and Ocean Topography mission, provide snapshots of the global sea surface high anomaly field. The common practice in analyzing these surface elevation data is to convert them into surface velocity based on the geostrophic approximation. With increasing horizontal resolution in satellite observations, sea surface elevation data will contain many dynamical signals other than the geostrophic velocity. A new physical quantity, the available surface potential energy, is conceptually introduced in this study defined as the density multiplied by half of the squared deviation from the local mean reference surface elevation. This gravitational potential energy is an intrinsic property of the sea surface height field and it is an important component of ocean circulation energetics, especially near the sea surface. In connection with other energetic terms, this new variable may help us better understand the dynamics of oceanic circulation, in particular the processes in connection with the free surface data collected through satellite altimetry. The preliminary application of this concept to the numerically generated monthly mean Global Ocean Data Assimilation System data and Archiving, Validation, and Interpretation of Satellite Oceanographic altimeter data shows that the available surface potential energy is potentially linked to other dynamic variables, such as the total kinetic energy, eddy kinetic energy and available potential energy.
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References
Apel J R. 1980. Satellite sensing of ocean surface dynamics. Annual Review of Earth and Planetary Sciences, 8: 303–342, doi: https://doi.org/10.1146/annurev.ea.08.050180.001511
Apel J R, Byrne H M, Proni J R, et al. 1975. Observations of oceanic internal and surface waves from the earth resources technology satellite. Journal of Geophysical Research, 80(6): 865–881, doi: https://doi.org/10.1029/JC080i006p00865
Apel J R, Byrne H M, Proni J R, et al. 1976. A study of oceanic internal waves using satellite imagery and ship data. Remote Sensing of Environment, 5: 125–135, doi: https://doi.org/10.1016/0034-4257(76)90043-2
Behringer D, Xue Yan. 2004. Evaluation of the global ocean data assimilation system at NCEP: The Pacific Ocean. In: Eighth Symposium on Integrated Observing and Assimilation Systems for Atmosphere, Oceans, and Land Surface, AMS 84th Annual Meeting. Washington: Washington State Convention and Trade Center, 11–15
Blumen W. 1972. Geostrophic adjustment. Reviews of Geophysics, 10(2): 485–528, doi: https://doi.org/10.1029/RG010i002p00485
Cao Haijin, Jing Zhiyou, Fox-Kemper B, et al. 2019. Scale transition from geostrophic motions to internal waves in the northern South China Sea. Journal of Geophysical Research: Oceans, 124(12): 9364–9383, doi: https://doi.org/10.1029/2019jc015575
Chavanne C P, Klein P. 2010. Can oceanic submesoscale processes be observed with satellite altimetry?. Geophysical Research Letters, 37(22): L22602, doi: https://doi.org/10.1029/2010gl045057
Chelton D B, Schlax M G, Samelson R M, et al. 2019. Prospects for future satellite estimation of small-scale variability of ocean surface velocity and vorticity. Progress in Oceanography, 173: 256–350, doi: https://doi.org/10.1016/j.pocean.2018.10.012
Ferrari R, Wunsch C. 2009. Ocean circulation kinetic energy: reservoirs, sources, and sinks. Annual Review of Fluid Mechanics, 41(1): 253–282, doi: https://doi.org/10.1146/annurev.fluid.40.111406.102139
Frederikse T, Landerer F, Caron L, et al. 2020. The causes of sea-level rise since 1900. Nature, 584(7821): 393–397, doi: https://doi.org/10.1038/s41586-020-2591-3
Gill A E. 1982. Atmosphere-Ocean Dynamics. New York: Academic Press, 30
Gula J, Molemaker M J, McWilliams J C. 2014. Submesoscale cold filaments in the gulf stream. Journal of Physical Oceanography, 44(10): 2617–2643, doi: https://doi.org/10.1175/jpo-d-14-0029.1
Huang Ruixin. 2005. Available potential energy in the world’s oceans. Journal of Marine Research, 63(1): 141–158, doi: https://doi.org/10.1357/0022240053693770
Huang Ruixin. 2010. Ocean Circulation: Wind-Driven and Thermohaline Processes. Cambridge: Cambridge University Press, 791
Huang Ruixin, Jin Xiangze. 2002. Sea surface elevation and bottom pressure anomalies due to thermohaline forcing. Part I: isolated perturbations. Journal of Physical Oceanography, 32(7): 2131–2150, doi: https://doi.org/10.1175/1520-0485(2002)032<2131:sseabp>2.0.co;2
Jing Zhiyou, Fox-Kemper B, Cao Haijin, et al. 2021. Submesoscale fronts and their dynamical processes associated with symmetric instability in the Northwest Pacific Subtropical Ocean. Journal of Physical Oceanography, 51(1): 83–100, doi: https://doi.org/10.1175/JPO-D-20-0076.1
Klymak J M, Shearman R K, Gula J, et al. 2016. Submesoscale streamers exchange water on the north wall of the Gulf Stream. Geophysical Research Letters, 43(3): 1226–1233, doi: https://doi.org/10.1002/2015gl067152
Lorenz E N. 1955. Available potential energy and the maintenance of the general circulation. Tellus, 7(2): 157–167, doi: https://doi.org/10.3402/tellusa.v7i2.8796
Mahadevan A. 2016. The impact of submesoscale physics on primary productivity of plankton. Annual Review of Marine Science, 8(1): 161–184, doi: https://doi.org/10.1146/annurev-marine-010814-015912
Margules M. 1905. Uber die energie der sturme. Wein K K. Hof-und. Stattsdruckerei: 26
Mei C C. 1983. The Applied Dynamics of Ocean Surface Waves. New York: Wiley, 740
Oort A H, Anderson L A, Peixoto J P. 1994. Estimates of the energy cycle of the oceans. Journal of Geophysical Research: Oceans, 99(C4): 7665–7688, doi: https://doi.org/10.1029/93jc03556
Oort A H, Ascher S C, Levitus S, et al. 1989. New estimates of the available potential energy in the world ocean. Journal of Geophysical Research: Oceans, 94(C3): 3187–3200, doi: https://doi.org/10.1029/JC094iC03p03187
Pedlosky J. 1987. Geophysical Fluid Dynamics. New York: Springer-Verlag, 710
Qiu Bo, Chen Shuiming, Klein P, et al. 2018. Seasonality in transition scale from balanced to unbalanced motions in the world ocean. Journal of Physical Oceanography, 48(3): 591–605, doi: https://doi.org/10.1175/jpo-d-17-0169.1
Qiu Bo, Nakano T, Chen Shuiming, et al. 2017. Submesoscale transition from geostrophic flows to internal waves in the northwestern Pacific upper ocean. Nature Communications, 8(1): 14055, doi: https://doi.org/10.1038/ncomms14055
Ray R D, Zaron E D. 2011. Non-stationary internal tides observed with satellite altimetry. Geophysical Research Letters, 38(17): L17609, doi: https://doi.org/10.1029/2011gl048617
Reid R O, Elliott B A, Olson D B. 1981. Available potential energy: a clarification. Journal of Physical Oceanography, 11(1): 15–29, doi: https://doi.org/10.1175/1520-0485(1981)011<0015:apeac>2.0.co;2
Su Zhan, Wang Jinbo, Klein P, et al. 2018. Ocean submesoscales as a key component of the global heat budget. Nature Communications, 9: 775, doi: https://doi.org/10.1038/s41467-018-02983-w
Sullivan P P, McWilliams J C. 2018. Frontogenesis and frontal arrest of a dense filament in the oceanic surface boundary layer. Journal of Fluid Mechanics, 837: 341–380, doi: https://doi.org/10.1017/jfm.2017.833
Taylor J R, Ferrari R. 2011. Ocean fronts trigger high latitude phytoplankton blooms. Geophysical Research Letters, 38(23): L23601, doi: https://doi.org/10.1029/2011gl049312
Thomas L N, Taylor J R, D’Asaro E A, et al. 2016. Symmetric instability, inertial oscillations, and turbulence at the Gulf Stream front. Journal of Physical Oceanography, 46(1): 197–217, doi: https://doi.org/10.1175/jpo-d-15-0008.1
Wang Wei, Huang Ruixin. 2004. Wind energy input to the surface waves. Journal of Physical Oceanography, 34(5): 1276–1280, doi: https://doi.org/10.1175/1520-0485(2004)034<1276:weitts>2.0.co;2
Wunsch C. 1998. The work done by the wind on the oceanic general circulation. Journal of Physical Oceanography, 28(11): 2332–2340, doi: https://doi.org/10.1175/1520-0485(1998)028<2332:twdbtw>2.0.co;2
Zhao Zhongxiang. 2017. The global mode-1 S2 internal tide. Journal of Geophysical Research: Oceans, 122(11): 8794–8812, doi: https://doi.org/10.1002/2017jc013112
Acknowledgements
Xiaolong Huang helped in processing the AVISO data. The authors would like to thank NCEP of NOAA (http://data.nodc.noaa.gov) and AVISO+ (https://www.aviso.altimetry.fr) for providing GODAS reanalysis data and gridded altimeter products.
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Foundation item: The National Natural Science Foundation of China under contract Nos 92058201 and 41776040; the Chinese Academy of Sciences under contract Nos ZDBS-LY-DQC011, XDA15020901 and ISEE2018PY05.
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Huang, R., Qiu, B. & Jing, Z. Surface available gravitational potential energy in the world oceans. Acta Oceanol. Sin. 41, 40–56 (2022). https://doi.org/10.1007/s13131-021-1852-9
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DOI: https://doi.org/10.1007/s13131-021-1852-9