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Regional recovery of gravity anomaly from the inversion of diagonal components of GOCE gravitational tensor: A Case Study in Ethiopia, Artificial Satellites
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering.ORCID iD: 0000-0003-0067-8631
2018 (English)In: Artificial Satellites : he Journal of Space Research Centre of Polish Academy of Sciences, E-ISSN 2083-6104, Vol. 53, no 2, p. 55-74Article in journal (Refereed) Published
Abstract [en]

The tensor of gravitation is traceless as the gravitational field of the Earth is harmonic outside the Earth's surface. Therefore, summation of the 2nd-order horizontal derivatives on its diagonal components should be equal to the radial one but with the opposite sign. The gravity field can be recovered locally from either of them, or even their combination. Here, we use the in-orbit diagonal components of the gravitational tensor measured by the gravity field and steady stateocean circulation explorer (GOCE) mission for recovering gravity anomaly with a resolution of 1°×1° at sea level in Ethiopia. In order to solve the system of equations, derived after discretisation of integral equations, the Tikhonov regularisation is applied and the bias of thi sregularisation is estimated and removed from the estimated gravity anomalies. The errors of the anomalies are estimated and their significance of recovery from these diagonal components is investigated. Statistically, the difference between the recovered anomalies from each scenario isnot significant comparing to their errors. However, their joint inversion of the diagonal components improved the solution by about 1 mGal. Furthermore, the inversion processes arebetter stabilised when using errors of the input data compared with its exclusion, but at the penalty of degradation in accuracy of the estimates.

Place, publisher, year, edition, pages
De Gruyter Open, 2018. Vol. 53, no 2, p. 55-74
Keywords [en]
Gravitational field, Laplace condition, Regularisation, error estimation
National Category
Earth and Related Environmental Sciences
Research subject
ENGINEERING
Identifiers
URN: urn:nbn:se:hv:diva-12230DOI: 10.2478/arsa-2018-0006OAI: oai:DiVA.org:hv-12230DiVA, id: diva2:1194174
Available from: 2018-03-29 Created: 2018-03-29 Last updated: 2019-03-12Bibliographically approved

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Eshagh, Mehdi

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