Relative dispersion in the Liguro-Provençal basin: From sub-mesoscale to mesoscale

Abstract Relative dispersion in the Liguro-Provencal basin (a subregion of the Mediterranean Sea) is investigated using clusters of surface drifters deployed during two Marine Rapid Environment Assessment (MREA) experiments covering different months in 2007 and 2008, respectively. The clusters have initial radii of less than 1 km, or an order of magnitude below a typical deformation radius (approximately 10–20 km). The data set consists of 45 original pairs and more than 50 total pairs (including chance ones) in the spatial range between 1 and 200 km. Relative dispersion is estimated using the mean square separation of particle pairs and the Finite Scale Lyapunov Exponents (FSLEs). The two metrics show broadly consistent results, indicating in particular a clear exponential behaviour with an e-folding time scale between 0.5 and 1 days, or Lyapunov exponent λ in the range of 0.7–1 days−1. The exponential phase extends for 4–7 days in time and between 1 and 10–20 km in separation space. To our knowledge, this is only the third time that an exponential regime is observed in the world ocean from drifter data. This result suggests that relative dispersion in the Liguro-Provencal basin is nonlocal, namely controlled mainly by mesoscale dynamics, and that the effects of the sub-mesoscale motions are negligible in comparison. NCOM model results are used to complement the data and to quantify errors arising from the sparse sampling in the observations.

[1]  E. Aurell,et al.  Evidence for a k(-5/3) spectrum from the EOLE Lagrangian balloons in the low stratosphere , 2003, physics/0312077.

[2]  N. Fabbroni Numerical simulations of passive tracers dispersion in the sea , 2009 .

[3]  Pair dispersion and doubling time statistics in two-dimensional turbulence. , 2005, Physical review letters.

[4]  Paul J. Martin,et al.  Description of the Navy Coastal Ocean Model Version 1.0 , 2000 .

[5]  Andrew C. Poje,et al.  Nonlinear Processes in Geophysics Lagrangian Velocity Statistics of Directed Launch Strategies in a Gulf of Mexico Model , 2022 .

[6]  A. Griffa,et al.  Cyclonic and anticyclonic motion in the upper ocean , 2008 .

[7]  Michel Rixen,et al.  Operational surface drift prediction using linear and non-linear hyper-ensemble statistics on atmospheric and ocean models , 2007 .

[8]  G. Gasparini,et al.  The seasonal characteristics of the circulation in the north Mediterranean basin and their relationship with the atmospheric‐climatic conditions , 1992 .

[9]  Antonello Provenzale,et al.  Elementary topology of two-dimensional turbulence from a Lagrangian viewpoint and single-particle dispersion , 1993, Journal of Fluid Mechanics.

[10]  P. Poulain Adriatic Sea surface circulation as derived from drifter data between 1990 and 1999 , 2001 .

[11]  G. Haller Distinguished material surfaces and coherent structures in three-dimensional fluid flows , 2001 .

[12]  Germana Peggion,et al.  Transport properties in small-scale coastal flows: relative dispersion from VHF radar measurements in the Gulf of La Spezia , 2010 .

[13]  E. Aurell,et al.  Drifter dispersion in the Adriatic Sea: Lagrangian data and chaotic model , 1999, chao-dyn/9902014.

[14]  K. A. Orvik,et al.  Relative dispersion in the Nordic Seas , 2009 .

[15]  Patrice Klein,et al.  Upper Ocean Turbulence from High-Resolution 3D Simulations , 2008 .

[16]  A. Bennett Relative Dispersion: Local and Nonlocal Dynamics , 1984 .

[17]  G. Gasparini,et al.  Comparison between XBT data and TOPEX/Poseidon satellite altimetry in the Ligurian-Tyrrhenian area , 2003 .

[18]  J. Beckers,et al.  Two-way nested model of mesoscale circulation features in the Ligurian Sea , 2005 .

[19]  R. Lumpkin,et al.  Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results , 2007 .

[20]  G. Gasparini,et al.  The Seasonal and Interannual Variability in the Ligurian‐Provençal Basin , 2013 .

[21]  Patrice Klein,et al.  Upper ocean turbulence from high 3-D resolution simulations , 2007 .

[22]  R. Kraichnan Inertial Ranges in Two‐Dimensional Turbulence , 1967 .

[23]  R. Salmon,et al.  Baroclinic instability and geostrophic turbulence , 1980 .

[24]  M. Rixen,et al.  Surface circulation in the Liguro-Provençal basin as measured by satellite-tracked drifters (2007-2009) , 2010 .

[25]  Russ E. Davis,et al.  Drifter observations of coastal surface currents during CODE: The method and descriptive view , 1985 .

[26]  George Haller,et al.  Finite time transport in aperiodic flows , 1998 .

[27]  Pierre-Marie Poulain,et al.  Drifter observations of surface circulation in the Adriatic Sea between December 1994 and March 1996 , 1999 .

[28]  Paul J. Martin,et al.  Relative dispersion from a high-resolution coastal model of the Adriatic Sea , 2008 .

[29]  William J. Emery,et al.  Data Analysis Methods in Physical Oceanography , 1998 .

[30]  M G Brown,et al.  Persistent transport barrier on the West Florida Shelf , 2006, Geophysical research letters.

[31]  M. Crépon,et al.  Low-frequency waves in the Ligurian Sea during December 1977 , 1982 .

[32]  F. d’Ovidio,et al.  Mixing structures in the Mediterranean Sea from finite‐size Lyapunov exponents , 2004, nlin/0404041.

[33]  J. Ottino The Kinematics of Mixing: Stretching, Chaos, and Transport , 1989 .

[34]  Akira Okubo,et al.  Oceanic diffusion diagrams , 1971 .

[35]  A. Ōkubo Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences , 1970 .

[36]  R. Lumpkin,et al.  Measuring surface currents with Surface Velocity Program drifters : the instrument , its data , and some recent results , 2022 .

[37]  A. Vulpiani,et al.  Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient , 1997, chao-dyn/9701013.

[38]  T. Özgökmen,et al.  Resolution dependent relative dispersion statistics in a hierarchy of ocean models , 2010 .

[39]  James C. McWilliams,et al.  Mesoscale to Submesoscale Transition in the California Current System. Part II: Frontal Processes , 2008 .

[40]  J. Tait,et al.  Deep-Sea Research , 1954, Nature.

[41]  M. Crépon,et al.  A Sensitivity Study of the General Circulation of the Western Mediterranean Sea. Part II: The Response to Atmospheric Forcing , 1997 .

[42]  M. Ollitrault,et al.  Open ocean regimes of relative dispersion , 2005, Journal of Fluid Mechanics.

[43]  C. Fratianni,et al.  Super-Ensemble Techniques: Application to Surface Drift Prediction During the DART06 and MREA07 Campaigns , 2009 .

[44]  L. Prieur,et al.  Aspects of the seasonal and mesoscale variabilities of the Northern Current in the western Mediterranean Sea inferred from the PROLIG-2 and PROS-6 experiments , 1995 .

[45]  Michel Rixen,et al.  Model‐based directed drifter launches in the Adriatic Sea: Results from the DART experiment , 2007 .

[46]  S. Bauer Eddy-mean flow decomposition and eddy-diffusivity estimates in the tropical Pacific Ocean , 1998 .

[47]  M. Crépon,et al.  Analysis of the mesoscale circulation in the occidental Mediterranean Sea during winter 1999-2000 given by a regional circulation model , 2005 .

[48]  A. Crisanti,et al.  Predictability in the large: an extension of the concept of Lyapunov exponent , 1996, chao-dyn/9606014.

[49]  A. D. Kirwan,et al.  Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics: List of contributors , 2007 .

[50]  Michel Rixen,et al.  Surface drift prediction in the Adriatic Sea using hyper-ensemble statistics on atmospheric, ocean and wave models : uncertainties and probability distribution areas , 2008 .

[51]  P. Poulain,et al.  Quality Control and Interpolations of WOCE-TOGA Drifter Data , 1996 .

[52]  C. Ohlmann,et al.  Relative dispersion at the surface of the Gulf of Mexico , 2003 .

[53]  Stephen Wiggins,et al.  The dynamical systems approach to lagrangian transport in oceanic flows , 2005 .

[54]  Jerrold E. Marsden,et al.  The correlation between surface drifters and coherent structures based on high-frequency radar data in Monterey Bay , 2009 .

[55]  C. Millot Mesoscale and seasonal variabilities of the circulation in the western Mediterranean , 1991 .

[56]  R. Salmon Two-layer quasi-geostrophic turbulence in a simple special case , 1978 .

[57]  Tamay M. Özgökmen,et al.  Directed drifter launch strategies for Lagrangian data assimilation using hyperbolic trajectories , 2006 .

[58]  M. Astraldi,et al.  Temporal variability of currents in the eastern Ligurian Sea , 1990 .

[59]  Christopher K. R. T. Jones,et al.  Chaotic Transport of Mass and Potential Vorticity for an Island Recirculation , 2002 .

[60]  B. Sawford,et al.  Turbulent relative dispersion , 2001 .

[61]  A. Bower,et al.  Relative dispersion in the subsurface North Atlantic , 2000 .

[62]  J. Weiss The dynamics of entropy transfer in two-dimensional hydrodynamics , 1991 .

[63]  R. Lumpkin,et al.  Surface drifter pair spreading in the North Atlantic , 2010 .

[64]  Stephen Wiggins,et al.  Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics , 2000 .

[65]  Salvatore Marullo,et al.  Observations of a small-scale baroclinic eddy in the Ligurian Sea , 1985 .

[66]  George Haller,et al.  Geometry of Cross-Stream Mixing in a Double-Gyre Ocean Model , 1999 .