Reconstructing the Ocean's Interior from Surface Data

A new method is proposed for extrapolating subsurface velocity and density fields from sea surface density and sea surface height (SSH). In this, the surface density is linked to the subsurface fields via the surface quasigeostrophic (SQG) formalism, as proposed in several recent papers. The subsurface field is augmented by the addition of the barotropic and first baroclinic modes, whose amplitudes are determined by matching to the sea surface height (pressure), after subtracting the SQG contribution. An additional constraint is that the bottom pressure anomaly vanishes. The method is tested for three regions in the North Atlantic using data from a high-resolution numericalsimulation. The decomposition yields strikinglyrealistic subsurfacefields. It is particularly successful in energetic regions like the Gulf Stream extension and at high latitudes where the mixed layer is deep, but it also works in less energetic eastern subtropics. The demonstration highlights the possibility of reconstructing three-dimensional oceanic flows using a combination of satellite fields, for example,seasurfacetemperature(SST)andSSH,andsparse(orclimatological)estimatesoftheregionaldepthresolveddensity.Themethodcouldbefurtherelaboratedtointegrateadditionalsubsurfaceinformation,such as mooring measurements.

[1]  Rudnick,et al.  Compensation of horizontal temperature and salinity gradients in the ocean mixed layer , 1999, Science.

[2]  R Tulloch,et al.  A theory for the atmospheric energy spectrum: Depth-limited temperature anomalies at the tropopause , 2006, Proceedings of the National Academy of Sciences.

[3]  J. Pedlosky Geophysical Fluid Dynamics , 1979 .

[4]  Joseph H. LaCasce,et al.  Estimating subsurface horizontal and vertical velocities from sea-surface temperature , 2006 .

[5]  G. Flierl,et al.  Nonlinear energy and enstrophy transfers in a realistically stratified ocean , 1980 .

[6]  M. Maltrud,et al.  Numerical simulation of the North Atlantic Ocean at 1/10 degrees , 2000 .

[7]  R. Spencer Global Oceanic Precipitation from the MSU during 1979—91 and Comparisons to Other Climatologies , 1993 .

[8]  B. Hoskins,et al.  On the use and significance of isentropic potential vorticity maps , 2007 .

[9]  K. Shafer A Surface-Aware Projection Basis for Quasigeostrophic Flow , 2013 .

[10]  Pijush K. Kundu,et al.  Modal Decomposition of the Velocity Field near the Oregon Coast , 1975 .

[11]  Geoffrey K. Vallis,et al.  The scales and equilibration of midocean eddies : Freely evolving flow , 2001 .

[12]  E. T. Eady,et al.  Long Waves and Cyclone Waves , 1949 .

[13]  W. Large,et al.  Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization , 1994 .

[14]  Mathew E. Maltrud,et al.  Eulerian and Lagrangian Statistics from Surface Drifters and a High-Resolution POP Simulation in the North Atlantic , 2002 .

[15]  W. Rossow,et al.  ISCCP Cloud Data Products , 1991 .

[16]  Brian J. Hoskins,et al.  The Geostrophic Momentum Approximation and the Semi-Geostrophic Equations. , 1975 .

[17]  D. Chelton,et al.  Global observations of nonlinear mesoscale eddies , 2011 .

[18]  R. Ferrari,et al.  The distribution of eddy kinetic and potential energies in the global ocean , 2010 .

[19]  G. Lapeyre What Vertical Mode Does the Altimeter Reflect? On the Decomposition in Baroclinic Modes and on a Surface-Trapped Mode , 2009 .

[20]  Norman A. Phillips,et al.  Energy Transformations and Meridional Circulations associated with simple Baroclinic Waves in a two-level, Quasi-geostrophic Model , 1954 .

[21]  P. Xie,et al.  Global Precipitation: A 17-Year Monthly Analysis Based on Gauge Observations, Satellite Estimates, and Numerical Model Outputs , 1997 .

[22]  F. Bretherton Critical layer instability in baroclinic flows , 1966 .

[23]  E. T. Eady,et al.  Long Waves and Cyclone Waves , 1949 .

[24]  G. Danabasoglu,et al.  Modeling global oceanic inter-annual variability (1958-1997): Simulation design and model-data evaluation , 2003 .

[25]  J. LaCasce Surface Quasigeostrophic Solutions and Baroclinic Modes with Exponential Stratification , 2012 .

[26]  K.,et al.  Quasigeostrophic turbulence with explicit surface dynamics: Application to the atmospheric energy spectrum , 2009 .

[27]  W. Blumen,et al.  Uniform Potential Vorticity Flow: Part I. Theory of Wave Interactions and Two-Dimensional Turbulence , 1978 .

[28]  Darran G. Furnival,et al.  Assessment of Traditional and New Eigenfunction Bases Applied to Extrapolation of Surface Geostrophic Current Time Series to Below the Surface in an Idealized Primitive Equation Simulation , 2012 .

[29]  Patrice Klein,et al.  Dynamics of the Upper Oceanic Layers in Terms of Surface Quasigeostrophy Theory , 2006 .

[30]  Bertrand Chapron,et al.  Three‐dimensional reconstruction of oceanic mesoscale currents from surface information , 2008 .

[31]  Ananda Pascual,et al.  Improved description of the ocean mesoscale variability by combining four satellite altimeters , 2006 .

[32]  Bertrand Chapron,et al.  Potential use of microwave sea surface temperatures for the estimation of ocean currents , 2006 .

[33]  Carl Wunsch,et al.  The Vertical Partition of Oceanic Horizontal Kinetic Energy , 1997 .

[34]  Thomas M. Smith,et al.  Daily High-Resolution-Blended Analyses for Sea Surface Temperature , 2007 .

[35]  J. Charney,et al.  Oceanic analogues of large-scale atmospheric mo-tions , 1981 .

[36]  D. Stammer Global Characteristics of Ocean Variability Estimated from Regional TOPEX/POSEIDON Altimeter Measurements , 1997 .

[37]  Bertrand Chapron,et al.  Diagnosis of vertical velocities in the upper ocean from high resolution sea surface height , 2009 .