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Deviation of Long-Period Tides from Equilibrium: Kinematics and Geostrophy

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Field Value
Title Deviation of Long-Period Tides from Equilibrium: Kinematics and Geostrophy
Names Egbert, Gary D. (creator)
Ray, Richard D. (creator)
Date Issued 2003-04 (iso8601)
Abstract New empirical estimates of the long-period fortnightly (Mf) tide obtained from TOPEX/Poseidon (T/P) altimeter
data confirm significant basin-scale deviations from equilibrium. Elevations in the low-latitude Pacific
have reduced amplitude and lag those in the Atlantic by 308 or more. These interbasin amplitude and phase
variations are robust features that are reproduced by numerical solutions of the shallow-water equations, even
for a constant-depth ocean with schematic interconnected rectangular basins. A simplified analytical model for
cooscillating connected basins also reproduces the principal features observed in the empirical solutions. This
simple model is largely kinematic. Zonally averaged elevations within a simple closed basin would be nearly
in equilibrium with the gravitational potential, except for a constant offset required to conserve mass. With
connected basins these offsets are mostly eliminated by interbasin mass flux. Because of rotation, this flux occurs
mostly in a narrow boundary layer across the mouth and at the western edge of each basin, and geostrophic
balance in this zone supports small residual offsets (and phase shifts) between basins. The simple model predicts
that this effect should decrease roughly linearly with frequency, a result that is confirmed by numerical modeling
and empirical T/P estimates of the monthly (Mm) tidal constituent. This model also explains some aspects of
the anomalous nonisostatic response of the ocean to atmospheric pressure forcing at periods of around 5 days.
Genre Article
Identifier Egbert, Gary D., Richard D. Ray, 2003: Deviation of Long-Period Tides from Equilibrium: Kinematics and Geostrophy. J. Phys. Oceanogr., 33, 822–839.

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