Related Experiment Video
Updated: Dec 29, 2025

Investigating the Relationship between Sea Surface Chlorophyll and Major Features of the South China Sea with Satellite Information
Published on: June 13, 2020
A Complete Formula of Ocean Surface Absolute Geostrophic Current.
1Naval Ocean Analysis and Prediction Laboratory, Department of Oceanography, Naval Postgraduate School, Monterey, USA. pcchu@nps.edu.
The absolute geostrophic current at the ocean surface is not solely determined by the dynamic ocean topography gradient. Current oceanography practices are inaccurate, requiring a reevaluation of surface current calculations.
Area of Science:
- Physical Oceanography
- Satellite Geodesy
- Geophysics
Background:
- The absolute geostrophic current at the ocean surface (S) is conventionally represented by a single component.
- This component is often simplified to the geostrophic shear derived from the horizontal gradient of dynamic ocean topography.
- This simplification overlooks other contributing factors to the surface current.
Purpose of the Study:
- To investigate the accuracy of using only the dynamic ocean topography gradient to represent the absolute geostrophic current at the ocean surface.
- To quantify the difference between the complete absolute geostrophic current and its commonly used approximation.
- To highlight the necessity of considering all components for precise ocean current estimation.
Main Methods:
- Utilized four publicly available datasets to compute the individual components of the absolute geostrophic current.
- Calculated the absolute geostrophic current at the geoid undulation (N).
- Determined the geostrophic shear components arising from dynamic ocean topography and density gradients.
Main Results:
- A significant discrepancy was observed between the calculated absolute geostrophic current (S) and the geostrophic shear due to dynamic ocean topography.
- Statistical analysis revealed a relative root mean square difference of 0.605 between these two measures.
- This indicates that the commonly used approximation is not representative of the true surface current.
Conclusions:
- The common practice in physical oceanography and satellite geodesy of equating the surface absolute geostrophic current with the horizontal gradient of dynamic ocean topography is incorrect.
- The horizontal gradient of dynamic ocean topography alone is insufficient to accurately represent the absolute geostrophic current at the ocean surface.
- Accurate ocean current modeling requires the incorporation of all contributing factors, including density gradients.
Related Concept Videos
Surface Tension of Fluid
Surface tension varies...
Basic Equation for Pressure Field
Hydrostatic Pressure Force on a Curved Surface
Clausius-Clapeyron Equation
Continuity Equation
Continuity Equation
The mass flow rate is expressed as:

