Abstract:In order to obtain the temperature, salinity and specific volume anomalies of seawater in the Gulf of Mexico region, the gravest empirical mode GEM method is used to establish an empirical relationship between the propagation time and the temperature, salinity and specific volume anomalies by integrating all the historical measured temperature and salinity data in the Gulf of Mexico region, building a scattering Lagrangian matrix, and projecting the existing temperature and salinity data onto this two-dimensional space. The temperature, salinity and specific volume anomalies are then inverted by combining with the IES measured propagation times to obtain the flow profiles. Finally, based on the empirical modes of geostrophic rotation in the Gulf of Mexico, the relationship between the propagation time and the temperature, salinity and specific volume anomalies can be deduced, which enables a better study of the area and provides an effective basis for the inversion of deep-sea thermohaline currents.