Parametric modelling of the geometrical ice-ocean interaction in the Ekstroemisen grounding zone based on short time-series

Astronomy and Astrophysics – Astronomy

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Fourier Transform, Geodesy, Global Positioning System (Gps), Gravity, Spectral Analysis, Tides

Scientific paper

Due to the impact of ocean tide the Ekstroemisen (Ekstroem Ice Shelf, Antarctica) still shows vertical displacements at its assumed grounding line. These can reach amplitudes of 5 cm. The low tide amplitudes are smaller than the corresponding high tide amplitudes. This indicates that the ice body touches the bedrock during the low tides. An elastic feedback of the ice body can be observed as little as 1 km behind the assumed grounding line. The maximum vertical displacements can still reach 1 cm.
These results are based on data collected in the grounding zone of the Ekstroemisen during the austral summer of 1997. This region has been studied by using a combined sensor field that makes continuous records using Global Positioning System (GPS), gravimeter and tiltmeter instruments to derive the elastic response of the ice body to the ocean tides. The resulting time-series which has to be analysed is biased by outliers, incomplete data or complex trend functions. It is nearly impossible to analyse the very short time periods without assuming hypotheses.
It turns out that standard algorithms like correlation functions, various Fourier transforms or functional regressions are not suitable to solve the parametrization of time-series in the region of the grounding zone, where several kinematic and gravimetric processes overlap. After a thorough analysis of these time-series with an average length of 8 d we managed to homogenize the results of the hybrid and non-simultaneous observations. We were able to create a set of robust parameters to describe the ice shelf motion in the grounding zone, based on non-linear programming.

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