# Extracting quasi-steady Lagrangian transport patterns from the ocean circulation: An application to the Gulf of Mexico

## TL;DR

This study constructs a climatology of Lagrangian coherent structures in the Gulf of Mexico using a twelve-year simulation, revealing persistent transport patterns that align with observed oil spill and pollution dynamics.

## Contribution

It introduces a climatological LCS approach that captures recurrent transport patterns, providing a new tool for understanding ocean circulation and pollution risk areas.

## Key findings

- cLCSs identify persistent isolation regions.
- cLCSs match observed oil spill transport patterns.
- Climatological velocity preserves meaningful transport information.

## Abstract

We construct a climatology of Lagrangian coherent structures (LCSs), the concealed skeleton that shapes transport, with a twelve-year-long data-assimilative simulation of the sea-surface circulation in the Gulf of Mexico (GoM). Computed as time-mean Cauchy-Green strain tensorlines of the climatological velocity, the climatological LCSs (cLCSs) unveil recurrent Lagrangian circulation patterns. cLCSs strongly constrain the ensemble-mean Lagrangian circulation of the instantaneous model velocity, thus we show that a climatological velocity may preserve meaningful transport information. Also, the climatological transport patterns we report agree well with GoM kinematics and dynamics, as described in several previous observational and numerical studies. For example, cLCSs identify regions of persistent isolation, and suggest that coastal regions previously identified as high-risk for pollution impact, are regions of maximal attraction. Also, we show examples where cLCSs are remarkably similar to transport patterns observed during the Deepwater Horizon and Ixtoc oil spills, and during the Grand LAgrangian Deployment (GLAD) experiment. Thus, it is shown that cLCSs are an efficient way of synthesizing vast amounts of Lagrangian information. The cLCS method confirms previous GoM studies, and contributes to our understanding by revealing the persistent nature of the dynamics and kinematics treated therein.