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 a scattering Lagrangian matrix by integrating all the historical measured temperature and salinity data in the Gulf of Mexico region. And then an empirical relationship between the propagation time and the temperature,salinity and specific volume anomalies is established by 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 propagation time measured by IES to obtain the flow profiles. Finally,based on the geostrophic empirical mode 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.