On the Transfer Function between Surface Fields and the Geostrophic Stream Function in the Mediterranean Sea

AbstractThe real transfer function and the phase shift between sea surface height (SSH) and sea surface buoyancy (SSB) were estimated from the output of a realistic eddy-resolving model of the Mediterranean Sea circulation. The analysis of their temporal evolution unveiled the existence of a clear seasonal cycle closely related to that of the mixed layer depth. The phase shifts between SSH and SSB attain their minimum for deep mixed layers, which is different from zero. Besides, the spectral slope of the transfer function at scales shorter than 100 km fluctuates between k−1 and k−2. For deep mixed layers, it is close to k−1, as predicted by the surface quasigeostrophic (SQG) solution. At longer wavelengths, it is approximately constant under the different environmental conditions in all of the subbasins analyzed with the exception of the Gulf of Lions. The capability to observe sea surface temperature (SST) from satellites motivated the extension of this analysis to SST and SSH. Results showed a similar q...

[1]  P. Klein,et al.  Three-dimensional stirring of thermohaline fronts , 1998 .

[2]  Gilles Larnicol,et al.  Major changes in Mediterranean Sea level variability from 7 years of TOPEX/Poseidon and ERS-1/2 data , 2002 .

[3]  Jordi Font,et al.  Spatial structure of anticyclonic eddies in the Algerian basin (Mediterranean Sea) analyzed using the Okubo-Weiss parameter , 2004 .

[4]  M. Drévillon,et al.  The GODAE/Mercator-Ocean global ocean forecasting system: results, applications and prospects , 2008 .

[5]  I. Taupier-Letage,et al.  Circulation in the Mediterranean Sea , 2005 .

[6]  P. Flament,et al.  Cautionary remarks on the spectral interpretation of turbulent flows , 1985 .

[7]  Manuel Espino,et al.  A field study of the behaviour of an anticyclonic eddy on the Catalan continental shelf (NW Mediterranean) , 2005 .

[8]  Mark A. Moline,et al.  Mapping the U.S. West Coast surface circulation: A multiyear analysis of high‐frequency radar observations , 2011 .

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

[10]  I. Taupier-Letage,et al.  A new hypothesis about the surface circulation in the eastern basin of the mediterranean sea , 2005 .

[11]  Marco Zavatarelli,et al.  The physical, sedimentary and ecological structure and variability of shelf areas in the Mediterranean Sea , 2004 .

[12]  G. Dibarboure,et al.  Do Altimeter Wavenumber Spectra Agree with the Interior or Surface Quasigeostrophic Theory , 2008 .

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

[14]  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.

[15]  Yongsheng Xu,et al.  Global Variability of the Wavenumber Spectrum of Oceanic Mesoscale Turbulence , 2010 .

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

[17]  N. Pinardi,et al.  An oceanographic three-dimensional variational data assimilation scheme , 2008 .

[18]  P. Delecluse,et al.  OPA 8.1 Ocean General Circulation Model reference manual , 1998 .

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

[20]  J. Isern‐Fontanet,et al.  Diagnosis of high-resolution upper ocean dynamics from noisy sea surface temperatures , 2014 .

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

[22]  Wei Chen,et al.  Near-surface ocean velocity from infrared images: Global Optimal Solution to an inverse model , 2008 .

[23]  C. Fratianni,et al.  under a Creative Commons License. Ocean Science Daily oceanographic analyses by Mediterranean Forecasting System , 2007 .

[24]  Jean-Michel Brankart,et al.  On the inversion of submesoscale tracer fields to estimate the surface ocean circulation , 2013 .

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

[26]  W. Emery,et al.  An objective method for computing advective surface velocities from sequential infrared satellite images , 1986 .

[27]  Philippe Courtier,et al.  Sea surface velocities from sea surface temperature image sequences: 1. Method and validation using primitive equation model output , 2000 .

[28]  H. Sasaki,et al.  SSH Wavenumber Spectra in the North Pacific from a High-Resolution Realistic Simulation , 2012 .

[29]  F. Raicich On the fresh balance of the Adriatic Sea , 1996 .

[30]  Antonio Turiel,et al.  Microcanonical multifractal formalism: Application to the estimation of ocean surface velocities , 2007 .

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

[32]  C. Boissier,et al.  Spatial scales of mesoscale variability in the North Atlantic as deduced from Geosat data , 1990 .

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

[34]  勇 広田 An Introduction to Geophysical Fluid Dynamics , 1970 .

[35]  Glenn R. Flierl,et al.  Reconstructing the Ocean's Interior from Surface Data , 2013 .

[36]  Raffaele Ferrari,et al.  Interpreting Energy and Tracer Spectra of Upper-Ocean Turbulence in the Submesoscale Range (1–200 km) , 2013 .

[37]  A. Czaja,et al.  The observed signature of mesoscale eddies in sea surface temperature and the associated heat transport , 2012 .

[38]  Marilaure Grégoire,et al.  Continuity preserving modified maximum cross‐correlation technique , 2002 .

[39]  Pierre-Marie Poulain,et al.  Surface Geostrophic Circulation of the Mediterranean Sea Derived from Drifter and Satellite Altimeter Data , 2012 .

[40]  Leonid I. Piterbarg,et al.  Inversion for heat anomaly transport from sea surface temperature time series in the northwest Pacific , 1995 .

[41]  R. Ferrari,et al.  Compensation and Alignment of Thermohaline Gradients in the Ocean Mixed Layer , 2003 .

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

[43]  Kathryn A. Kelly,et al.  An Inverse Model for Near-Surface Velocity from Infrared Images , 1989 .

[44]  P. Poulain,et al.  Estimation of Surface Currents in the Adriatic Sea from Sequential Infrared Satellite Images , 2008 .

[45]  A. Kostianoy,et al.  Analysis of velocity field in the eastern Black Sea from satellite data during the Black Sea '99 experiment , 2002 .

[46]  Jordi Font,et al.  Vortices of the Mediterranean Sea: An Altimetric Perspective , 2006 .

[47]  Giorgio Budillon,et al.  The Eastern Mediterranean in the 80s and in the 90s: the big transition in the intermediate and deep circulations , 1999 .

[48]  Jordi Font,et al.  Non-Gaussian Velocity Probability Density Functions: An Altimetric Perspective of the Mediterranean Sea , 2006 .

[49]  C. Fratianni,et al.  A nested Atlantic-Mediterranean Sea general circulation model for operational forecasting , 2009 .

[50]  Antonio Turiel,et al.  Multifractal method for the instantaneous evaluation of the stream function in geophysical flows. , 2005, Physical review letters.

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

[52]  Marina Tonani,et al.  under a Creative Commons License. Ocean Science A high-resolution free-surface model of the Mediterranean Sea , 2007 .

[53]  P. Klein,et al.  The mesoscale variability of the sea surface temperature: An analytical and numerical model , 1990 .

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

[55]  W. Emery,et al.  Extracting Multiyear Surface Currents from Sequential Thermal Imagery Using the Maximum Cross-Correlation Technique , 2002 .

[56]  Ingrid Puillat,et al.  Biological response to mesoscale eddies in the Algerian Basin , 2003 .

[57]  Ian J. Barton,et al.  Ocean Currents from Successive Satellite Images: The Reciprocal Filtering Technique , 2002 .

[58]  S. Dobricic New mean dynamic topography of the Mediterranean calculated from assimilation system diagnostics , 2005 .

[59]  C. Millot Circulation in the Western Mediterranean Sea , 1999 .

[60]  Daniele Iudicone,et al.  Mixed layer depth over the global ocean: An examination of profile data and a profile-based climatology , 2004 .

[61]  K. Swanson,et al.  Spectra of local and nonlocal two-dimensional turbulence , 1994 .

[62]  H. Sasaki,et al.  Ocean turbulence at meso and submesoscales: connection between surface and interior dynamics , 2011 .

[63]  V. Kourafalou,et al.  High resolution simulations on the North Aegean Sea seasonal circulation , 2003 .

[64]  I. Taupier-Letage,et al.  Algerian Eddies lifetime can near 3 years , 2002 .

[65]  Cristóbal López,et al.  Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin , 2008, 0807.3848.

[66]  William J. Emery,et al.  Mapping mesoscale currents by optimal interpolation of satellite radiometer and altimeter data , 2002 .

[67]  P. Klein,et al.  Mesoscale heterogeneity of the wind-driven mixed layer: Influence of a quasigeostrophic flow , 1988 .

[68]  G. Larnicol,et al.  Mediterranean sea eddy kinetic energy variability from 11 years of altimetric data , 2005 .

[69]  I. Taupier-Letage On the Use of Thermal Images for Circulation Studies: Applications to the Eastern Mediterranean Basin , 2008 .

[70]  Raymond T. Pierrehumbert,et al.  Surface quasi-geostrophic dynamics , 1995, Journal of Fluid Mechanics.

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