Goals
1. To analyze efficiency Copper Haines algorithm to retrieve temperature/salinity distribution from SSH
anomaly and climatte T/S distributions
Final results
The Cooper-Haines algorithm proved to be efficient way to retrive background fields
from climatological temperature/salinity data and sea surface height anomaly data.
Results of the application this algorith for the reconstreuction of the circulation
and analysis of the transports through the major Aleutian Passes can be downloaded here:
The manuscript was accepted for publication in Journal Oceanography.
Cooper-Haines algorithm (1996)
To obtain a realistic velocity field with the diagnostic method, one has to
account for the density variations $\rho'$ associated with the mesoscale eddies
which are absent in the seasonal climatologies, but are implicitly present
in Aviso SSH anomalies $\zeta'$. In this study, $\zeta'$ was projected on
$\rho'$ by the means of the Cooper-Haines (1996)
technique, widely used in sequential data assimilation schemes: the
density profiles $\rho(z) + \rho'(z)$ were obtained by vertical displacement
of $\rho(z)$ to cancel bottom pressure anomalies induced by $\zeta'$.
The pressure field $p$ was computed by
\be
p=g\rho_0(\zeta+\zeta')+g\int\limits^0_{-h}(\rho+\rho')dz,\label{geostr}\ee
\noi where $h$ is the local depth, $g$ is the gravitational acceleration,
$\rho_0$ is the water density at the surface, and $\rho'(z)$ is the Cooper-Haines
correction to the background climatological density profile $\rho(z)$.
Cooper, M. and K. Haines, 1996: Altimetric assimilation with water property
conservation. {\it J. Geophys. Res.}, {\bf 101}, 1059-1077.
Preliminary results
Figure 1. Scatter plot of the diagnosed Coopper-Haines density field against {\it in situ} observations in the Bering Sea during 2002. Slanted bars show observed rms variations of the BS density field at selected depths.
Figure 1. Black thin arrows: velocity distribution at 1000m, diagnosed using the Coopper-Haines density fields and gridded absolute SSH fields. Black thick arrows: velocities derived from ARGO drifters trajectoris parkerd at 1000m.
Preliminary conclusions from this test
Coopper-Haines algorithm, combined with satellite observation will be useful for obtaining reliable estimates of the velocities at 1000m. This information will be used in future reconstructions.