Inherent to this kind of activity there is the possibility of accidents occurring in spite of the complex safety systems installed on offshore facilities, such as equipment to prevent blowouts, bursting of pipes, structural defects in the platforms, as well as ship collisions.

If the oil spill reaches the coastline, damages would be catastrophic. This would be so not only because this area is home to major ecological systems but also due to the fact that a significant part of the population lives along the coastline, which is used for such activities as fishing, leisure and port installations.

Being thus, this research has the objective of making available information that contributes to elaboration of a contingency plan for the activities of exploration offshore of the ES, esteeming the time response for a possible accident happening in the Capixaba coast, originating from the facilities offshore, considering the force of the wind as the only force acting on the oil spot. This estimate was accomplished through a model of trajectory of oil spill.