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Downward Continuation near the Sources of Gravity Anomalies using the Padé Series Expansion and its Application in Nechako Basin

Authors

Zhang,  Chong
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Lü,  Qingtian
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Yan,  Jiayong
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Zhou,  Wenna
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Song,  Haiming
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Ravat,  Dhananjay
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

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Citation

Zhang, C., Lü, Q., Yan, J., Zhou, W., Song, H., Ravat, D. (2023): Downward Continuation near the Sources of Gravity Anomalies using the Padé Series Expansion and its Application in Nechako Basin, XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG) (Berlin 2023).
https://doi.org/10.57757/IUGG23-5005


Cite as: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5021404
Abstract
Classical methods for downward continuations of gravity anomalies such as the Taylor expansion are not stable near sources of the anomalous data because of the limitation of convergence. We adopt a rational polynomial of the Padé expansion to tackle the issue of downward continuation near sources, as the Padé expansion mathematically has the power of analytical continuation in multiply connected regions and can be used to determine the locations of poles. We first clarify that the convergence of the Padé expansion for downward continuation is considerably more stable than that of the Taylor expansion. These favorable characteristics result into a powerful numerical method based on Padé expansion in the Cartesian coordinate that can downward continue discrete gravity data even in the region of sources. After testing on synthetic examples to demonstrate its viability via the similarity between downward continuation results and forward gravity anomalies in the region of sources. For further use, we apply the method on real airborne gravity data over the Nechako basin, Canada. Stable downward continued gravity anomalies comparable to the gravity inversion are obtained by our method in subsurface regions.This work was supported by the National Natural Science Foundation (41904122 and 92062108), the China Geological Survey Project (DD20190012, DD20211341 and DD20191007), a grant from the “Macau Young Scholars Program” (AM2020001), and a grant from the “China Scholarship Council”.