Abstract

Shelf break flows are often characterized by along-isobath jets with cross-shelf currents associated with tides and waves guided by variable topography. Here, we address the question: Can a superposition of such flows produce significant aperiodic cross-shelf transport? To answer this question, we use a barotropic analytic model for the jet based on a similarity solution of the shallow water equations over variable topography, a wave disturbance determined by the topography, and a diurnal tidal disturbance. We use standard Lagrangian methods to assess the cross-shelf transport, presenting the results, however, in a Eulerian frame, so as to be amenable to oceanographic observations. The relative roles of the different flow components in cross-shelf transport are assessed through an extensive parameter study. We find that a superposition of all three flow components can indeed produce consequential background aperiodic transport. An application of the model using recent observations from the Texas Shelf demonstrates that a combination of these background mechanisms can produce significant transport under realistic conditions.

Highlights

  • The outer shelf and shelf break constitute some of the most important and challenging regions of the world oceans

  • In order to analyze the transport associated with tidal oscillations in the presence of a classic coastal jet with a topographic Rossby wave disturbance, we turn to the theoretical framework developed by

  • One tool to map out the transport properties of a complex flow is the field of finite-time Lyapunov exponents (FTLEs) [21]

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Summary

Introduction

The outer shelf and shelf break constitute some of the most important and challenging regions of the world oceans. Atmospheric processes and the interactions of this flow with deep-ocean eddies may produce intense, yet brief cross-shelf exchange and significant upwelling and vertical transport [3]. These mechanisms combine to produce significant inhomogeneity in the spatial structure of fields, such as temperature, salinity, and other tracers, and of the currents themselves. As demonstrated by the application to transport of oil into near-shore waters during the Deepwater Horizon oil spill [6], such data do not adequately account for the transport across the shelf even in relatively quiescent periods This suggests that there may be important but heretofore overlooked background cross-shelf transport processes.

Model and Methods
The Model
Lagrangian Structures
Transport Quantification
The Flow Field and Its Lagrangian Structures
Transport Properties
Parameter Space Exploration
Application to the Texas Shelf
Discussion and Conclusions
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