Velocity-based parametric models are often used in the oceanographic literature either in theoretical studies that involves linear stability properties or as boundary-initial conditions for regional implementations of numerical models. However, most of these models were developed for the Gulf Stream (Western Boundary Current (IWBC) System is unique in terms of its vertical structure as it flows off SE Brazil, an original parametric model has been developed and is presented in this paper. The

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... el parameterizes both the surface-core structure of the BC as well as the intermediate level-core of the IWBC, keeping their basic features such as the asymmetric configuration due to their interaction with the topography. In the BC case, the model allows for the current shape to be deformed if it is close to the shelf break or to acquire a hyperbolic-like shape when it is positioned far away from the continental margin. In the IWBC parameterization, the main characteristic of the model is to reproduce a core placed at 800-900 m depth, adjacent to the intermediate portion of the continental slope. Additionally, under the assumption that the currents are in geostrophic balance, a sectional model of the density structure was obtained from the velocity model. This density model was constructed based on the integration of the thermal wind equation. Finally, the parametric model has been successfully tested, it reproduced with great accuracy the structure of three velocity sections obtained from observations within the boundaries of the so-called Campos Bight: 21 • S, 22 • S e 23 • S.