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General description of Satellite Altimetry
The radar altimeters on board of the satellites
TOPEX/POSEIDON (T/P),
ERS-1 and
ERS-2 measure the topography of the sea surface and its variations in space and time. The Sea Surface Height changes are caused by multiple external forces (e.g., tides, atmospheric pressure effects, wind forcing on the ocean), and internal processes (e.g., oceanic waves, water masses salinity and heat content... ). The data are processed in order to provide the sea level variations associated with the ocean dynamical processes. The Sea Level Anomalies (SLA) obtained along the satellite passes correspond mainly to the ocean geostrophic circulation. Note that the non-variable part of this circulation has been subtracted with the geoid height removal. A complete description of how and why
satellite altimetry has been developped is presented in the
AVISO web site.
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The orbital characteristics of
T/P and
ERS satellites are different. The high repetitivity (~10 days) of T/P allow a good monitoring of the ocean sea level changes. But its rather low spatial sampling (~270 km at 32°N, the black ground tracks on the right figure) does not allow a complete description of the ocean mesoscale circulation. At the opposite, ERS-1 and ERS-2 have a finer spatial sampling (~80 km at 32°N), as it is shown by the figure, where ERS and T/P ground tracks have been plotted between Madeira and the Canary Islands. But ERS repetitivity (35 days) is fairly low and the aliasing of the ocean temporal spectrum is larger |
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At a specific date, two-dimension, synoptic views of the ocean surface circulation can be obtained on a regular grid by mapping the SLA measured by altimeters along the satellite ground tracks. On the right figure, altimetric data measured at a 5-day lag from the 12th of July 1993 have been plotted in dashed blue along the satellite tracks (the corresponding cross-track geostrophic velocities are plotted in red). From this data, a map have been calculated by estimating on a regular grid, revealing highs (green) and lows (blue) of the geostrophic circulation (in cm). This estimation technique is based on an improved optimal interpolation method (
Hernandez et al., 1995 ; Le Traon et al., 1997) of the altimetric SLA. Such a technique allows to combine data from several satellites, taking into account the accuracy of each dataset. |
Comparing T/P-only and combined T/P + ERS results
Because T/P and the ERS satellites do not have the same orbit, they are going to sample differently the space and time characteristics -the spectrum- of the ocean circulation variability.
 Courtesy of N. Ducet |
The right figure illustrates how the ocean variability is sampled by the satellites. First, along track data are filtered to remove the high frequency noise. A 70-km cutoff filtering is applied to the SLA. In practice, energy is removed in the 10-120 km band, and the filtered spectrum is slightly lowered between 120 and 250 km.
From the Maps of Sea Level Anomalies, longitude sections have been extracted, then a longitude spectrum has been calculated. Although they show similar pattern, the spectrum corresponding to the TP-only maps (dot line) is weaker than the one corresponding to the combined TP+ERS maps (dashed line). Thus, ERS-1 or ERS-2 data provide complementary information at all wavelengths to the T/P mapping. Note that in the 250-450 km band, the combined T/P+ERS maps have level of energy comparable to along track data. At lower wavelength, the optimal interpolation tends to smooth the sea surface topography |
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The sea level variability has been calculated from the 4-years of T/P Maps of SLA. But we can observe a regular pattern of weak variability, corresponding to the T/P intertrack areas. |
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Now if we calculate the sea level variability over the same period, using combined maps T/P+ERS of SLA, the T/P ground tracks patchwork desappears. |
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Thus, the spatial contribution of ERS satellites for analyzing the ocean surface variability is far to be negligeable ! We have mapped the difference "Combined map T/P+ERS variability" minus "T/P-only map of variability". It demonstrates that T/P alone can not be used to describe the mesoscale circulation of the ocean. Differences in the highest energetic areas can reach 100 cm2, and the overall differences in the CANIGO region is of about 1 cm rms. |
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