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Spectral Analysis of Geoidal Signals at Points of Geodynamical Interest Used in the Investigation of the Depth of Mass-Density Causal “Sources” of Ground Deformations

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Geodetic Deformation Monitoring: From Geophysical to Engineering Roles

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 131))

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Abstract

Geoid undulations produced as the difference between ellipsoidal heights h and leveled or trigonometric heights H are observed point signals that bear information about the interior of the Earth. Exploring this information in a lateral sense is possible by the use of statistical methods which do not involve geophysical inversion and are capable of pre-evaluating regions of geodynamical interest. Such investigations may be carried out by means of test computations of the depth of possible sources in the Earth’s interior that might cause deformations on its surface.

In this paper, eight data series are built from point observed geoid undulations at eight different points. At these points, we gradually subtract from the observed undulations the variable-truncated contribution of CHAMP and GRACE based Gravity Field Models at lag n = 2. Each data series then represents a point signal gradually filtered numerically at varying frequencies as these are being revealed in the two models. The 16 series are then analyzed spectrally by using the Fast Fourier Transform (FFT) and the Maximum Entropy (MEM) methods with the objectives: (1) to investigate the performance of the CHAMP and GRACE models in an area with strong varying observed signals; (2) to detect whether there are dominant frequencies in terms of the degree of expansion n and, if so, to associate the dominating range of degrees with the depth of mass-density causal “source” which, in the case of the test points, is known to be in the vicinity of 40 km and less; and (3) to compare the observed undulation differences δN between test points with the differences of computed undulations with the aim of drawing conclusions on the use of these models in the process of height reference.

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Doufexopoulou, M.G., Massinas, B.A., Bartha, G. (2006). Spectral Analysis of Geoidal Signals at Points of Geodynamical Interest Used in the Investigation of the Depth of Mass-Density Causal “Sources” of Ground Deformations. In: Sansò, F., Gil, A.J. (eds) Geodetic Deformation Monitoring: From Geophysical to Engineering Roles. International Association of Geodesy Symposia, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38596-7_5

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