Optimal pollution mitigation in Monterey Bay based on coastal radar data and nonlinear dynamics.

High-frequency (HF) radar technology produces detailed velocity maps near the surface of estuaries and bays. The use of velocity data in environmental prediction, nonetheless, remains unexplored. In this paper, we uncover a striking flow structure in coastal radar observations of Monterey Bay, along the California coastline. This complex structure governs the spread of organic contaminants, such as agricultural runoff which is a typical source of pollution in the bay. We show that a HF radar-based pollution release scheme using this flow structure reduces the impact of pollution on the coastal environment in the bay. We predict the motion of the Lagrangian flow structures from finite-time Lyapunov exponents of the coastal HF velocity data. From this prediction, we obtain optimal release times, at which pollution leaves the bay most efficiently.

[1]  J. Marsden,et al.  Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows , 2005 .

[2]  D. Rice,et al.  Seasonal and annual distribution of organic contaminants in marine sediments from Elkhorn slough, moss landing harbor and nearshore Monterey Bay, California. , 1993, Environmental pollution.

[3]  J. Zimmerman,et al.  The tidal whirlpool: a review of horizontal dispersion by tidal and residual currents , 1986 .

[4]  George Haller,et al.  Pollution release tied to invariant manifolds: A case study for the coast of Florida , 2005 .

[5]  Jerrold E. Marsden,et al.  Lagrangian coherent structures in n-dimensional systems , 2007 .

[6]  Pierre F. J. Lermusiaux,et al.  On the mapping of multivariate geophysical fields: Error and variability subspace estimates , 2000 .

[7]  H. Aref Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[8]  R. Goldstein,et al.  Interferometric radar measurement of ocean surface currents , 1987, Nature.

[9]  G. Haller Lagrangian coherent structures from approximate velocity data , 2002 .

[10]  Jerrold E. Marsden,et al.  Open-boundary modal analysis: Interpolation, extrapolation, and filtering , 2004 .

[11]  B. Legras,et al.  Relation between kinematic boundaries, stirring, and barriers for the Antarctic polar vortex , 2002 .

[12]  G. Haller Finding finite-time invariant manifolds in two-dimensional velocity fields. , 2000, Chaos.

[13]  Comment on "Finding finite-time invariant manifolds in two-dimensional velocity fields" [Chaos 10, 99 (2000)]. , 2001, Chaos.

[14]  John C. Kindle,et al.  High resolution modeling and data assimilation in the Monterey Bay area , 2002 .

[15]  E. Guilyardi,et al.  Mixing and convection in the Greenland Sea from a tracer-release experiment , 1999, Nature.

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

[17]  T. M. Georges,et al.  Large-scale mapping of ocean surface currents with dual over-the-horizon radars , 1996, Nature.

[18]  George Haller,et al.  Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence , 2001 .

[19]  G. Haller,et al.  Unsteady flow separation on slip boundaries , 2008 .

[20]  Using Small Holding Tanks to Reduce Pollution in Narrow Estuaries , 1998 .

[21]  Optimal strategies for discharging pollutants into narrow estuaries , 1995 .

[22]  J. Stirling Transport and bifurcation in a non-area-preserving two-dimensional map with applications to the discharge of pollution in an estuarine flow , 2000 .

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

[24]  J. Marsden,et al.  Tricubic interpolation in three dimensions , 2005 .

[25]  P. Young,et al.  Longitudinal Dispersion in Natural Streams , 1983 .

[26]  Hartmut Peters,et al.  VHF Radar Detects Oceanic Submesoscale Vortex Along Florida Coast , 2000 .

[27]  V. Nassehi,et al.  Application of computer modelling techniques to the determination of optimum effluent discharge policies in tidal water systems , 1995 .

[28]  R. Tomlinson,et al.  Design Procedures for Effluent Discharge to Estuaries during Ebb Tide , 1992 .

[29]  O. V. Fuentes Chaotic advection by two interacting finite-area vortices , 2001 .

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

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

[32]  F. Prahl,et al.  Polycyclic aromatic hydrocarbons in Washington coastal sediments: an evaluation of atmospheric and riverine routes of introduction , 1984 .

[33]  Pierre F. J. Lermusiaux,et al.  Quantifying Uncertainties in Ocean Predictions , 2006 .

[34]  Christopher K. R. T. Jones,et al.  Quantifying transport in numerically generated velocity fields , 1997 .

[35]  Jeffrey D. Paduan,et al.  Remotely sensed surface currents in Monterey Bay from shore-based HF radar (Coastal Ocean Dynamics Application Radar) , 1996 .