NATIONAL REPORT OF THE FEDERAL REPUBLIC OF ... - IAG Office
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M. Thomas, M. Soffel, H. Drewes: Earth Rotation – Theory and Analysis 91<br />
and KUTTERER (2005) performed a sensitivity study revealing<br />
that the pole tide Love number k 2 is the most critical<br />
parameter, while the dependence on other parameters is<br />
marginal.<br />
2.2 Excitation of earth rotation by geophysical fluids<br />
ENDLER (2007) investigated the relationship between<br />
interannual variations in Length of Day (LOD) and selected<br />
El Nino/Southern Oscillation (ENSO) events. The study<br />
confirms that changes in the atmospheric angular momentum<br />
due to zonal winds are well correlated with LOD<br />
variability on timescales varying between several days and<br />
years. Strong correlations (at the 99% significance level)<br />
between the interannual amplitudes of LOD and the atmospheric<br />
wind term with sea-surface temperatures and<br />
selected ENSO indices clearly demonstrate a significant<br />
relation between interannual LOD variability, zonal atmospheric<br />
wind anomalies and the ENSO phenomenon.<br />
Although the overall correlation between LOD and ENSO<br />
is significantly varying in time depending on specific<br />
characteristics of the individual ENSO event, there is<br />
evidence that observed variations in the amplitude of LOD<br />
can be used as an indication for changes in the low and high<br />
frequency spectrum of hemispheric circulation systems led<br />
off by warm ENSO events. (LEHMANN et al., 2007).<br />
SEITZ et al. (2005) and STUCK et al. (2005) investigated the<br />
role of atmospheric and oceanic dynamics in exciting polar<br />
motion in the annual and Chandler wobble frequency band<br />
by means of simulations with the gyroscopic model<br />
DyMEG consistently forced with output from the atmospheric<br />
climate model ECHAM and the ocean model<br />
OMCT. According to STUCK et al. (2005), the annual<br />
oscillation of polar motion is predominantly due to atmospheric<br />
pressure forcing, while the motion component is<br />
less important. A regional statistical analysis of AAM<br />
turned out that strong annual pressure variations over Asia,<br />
in particular at the Himalayas, is the primary component<br />
responsible for accelerating forced polar motion. Both<br />
STUCK et al. (2005) as well as SEITZ et al. (2005) came to<br />
the conclusion that stochastic processes in atmosphere and<br />
ocean are sufficient to excite the Chandler wobble. Neither<br />
a significant nor at least an increased signal in the frequency<br />
domain of 14 to 16 months was found and regional statistical<br />
analysis of angular momentum gave no hint for an<br />
oscillation with a typical timescale of 14 to 16 months. This<br />
is in agreement with the findings of THOMAS et al. (2005)<br />
who calculated power spectral densities from effective<br />
angular momentum functions deduced from various<br />
consistent model combinations (NCEP/MIT, NCEP/ECCO,<br />
ECHAM/OMCT). The investigated model combinations<br />
led to similar excitation power in the Chandler frequency<br />
band always exceeding the observed power.<br />
The impact of oceanic mass redistributions due to pressure<br />
loading of atmospheric tides and gravitational tides at<br />
frequencies S1 and S2 was estimated by THOMAS et al.<br />
(2007) by means of simulations with OMCT driven by<br />
operational atmospheric data provided by ECMWF. The<br />
study demonstrates that ECMWF's 3-hourly forecasts can<br />
be used to represent atmospheric mass redistributions and<br />
corresponding oceanic responses down to semidiurnal<br />
timescales and, consequently, to determine short-term<br />
effects of the atmosphere-ocean system on earth's rotation.<br />
In contrast to, e.g., altimetry observations, the applied<br />
method principally allows a separation of effects due to<br />
gravitational and pressure tides.<br />
From simulations with the Hydrological Discharge Model<br />
(HDM) WALTER (2005) deduced hydrologically induced<br />
excitations of earth rotation on seasonal to decadal timescales.<br />
Although the model simulations were higly sensitive<br />
to applied atmospheric forcing conditions, the results<br />
generally agreed with respect to the annual excitation of<br />
LOD, suggesting that about 25 :s of the annual amplitude<br />
have to be attributed to hydrological mass redistributions.<br />
Applying the high-resolving unconstrained ocean model<br />
TiME forced by the complete lunisolar tidal potential<br />
derived from ephemerides, WEIS (2006) estimated the effect<br />
of several partial tides and shallow-water tides on earth<br />
rotation. Although the unconstrained model generally<br />
overestimates tidal amplitudes, the high-resolving real-time<br />
model agreed better with data assimilation models than<br />
partial tide model approaches. The total energy dissipated<br />
by the complete tidal oscillation system was estimated by<br />
WEIS (2006) to be 4.8 TW; the contribution of ocean tides<br />
to tidal friction was calculated to be 4.1 TW, while other<br />
recent studies agree on a lower value of 3.0 TW. However,<br />
some less significant partial tides, which had not been<br />
included in any modelling study, so far, were in excellent<br />
correspondence with results from both VLBI and GPS<br />
measurements with correlations of 90-96%. The effects of<br />
shallow-water tides on UT1 and polar motion turned out<br />
to be about three orders of magnitude lower than major<br />
astronomical partial tides, but should be above the detection<br />
limit of modern observation techniques within the near<br />
future.<br />
2.3 Internal processes<br />
One part of the earth rotation theory concerns the modelling<br />
of the influence of core processes (e.g. fluid motions,<br />
electromagnetic forces) on the earth’s rotation. To this<br />
regard, GREINER-MAI et al. (2003) gave an outline about<br />
appropriate methods, results and unsolved problems.<br />
To determine core motions and coupling torques from the<br />
geomagnetic field, it is necessary to extend the geomagnetic<br />
field from the earth’s surface to the core-mantle boundary<br />
through an electrically conducting mantle. To solve this<br />
problem, a new inversion method for the induction equation<br />
of the mantle was developed until 2002. GREINER-MAI et<br />
al. (2004) have extended this method for determining the<br />
geomagnetic field in a differentially rotating upper core<br />
layer.<br />
GREINER-MAI et al. (2003) discussed a kinematical model<br />
of forced inner-core wobble (ICW) by which the decadal<br />
variations of polar motion may be explained. Complementary,<br />
GUO et al. (2005a) checked the detectability of a free<br />
ICW with a period of about 6 years in the measured variations<br />
of the gravity field and polar motion. They found no<br />
firm evidence of the ICW in polar motion data used, which<br />
have an accuracy of few milliarc seconds.