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The effect of spatial truncation error on the variance of gravity anomalies derived from inversion of satellite orbital and gradiometric data
University West, Department of Engineering Science, Division of Natural Sciences and Electrical and Surveying Engineering.ORCID iD: 0000-0003-0067-8631
K.N. Toosi University of Technology, Department of Geodesy, Tehran.
2014 (English)In: Advances in Space Research, ISSN 0273-1177, E-ISSN 1879-1948, Vol. 54, no 2, 261-271 p.Article in journal (Refereed) Published
Abstract [en]

The spatial truncation error (STE) is a significant systematic error in the integral inversion of satellite gradiometric and orbital data to gravity anomalies at sea level. In order to reduce the effect of STE, a larger area than the desired one is considered in the inversion process, but the anomalies located in its central part are selected as the final results. The STE influences the variance of the results as well because the residual vector, which is contaminated with STE, is used for its estimation. The situation is even more complicated in variance component estimation because of its iterative nature. In this paper, we present a strategy to reduce the effect of STE on the a posteriori variance factor and the variance components for inversion of satellite orbital and gradiometric data to gravity anomalies at sea level. The idea is to define two windowing matrices for reducing this error from the estimated residuals and anomalies. Our simulation studies over Fennoscandia show that the differences between the 0.5°×0.5°0.5°×0.5° gravity anomalies obtained from orbital data and an existing gravity model have standard deviation (STD) and root mean squared error (RMSE) of 10.9 and 12.1 mGal, respectively, and those obtained from gradiometric data have 7.9 and 10.1 in the same units. In the case that they are combined using windowed variance components the STD and RMSE become 6.1 and 8.4 mGal. Also, the mean value of the estimated RMSE after using the windowed variances is in agreement with the RMSE of the differences between the estimated anomalies and those obtained from the gravity model.

Place, publisher, year, edition, pages
2014. Vol. 54, no 2, 261-271 p.
Keyword [en]
A posteriori variance factor, windowing, variance component estimation, inversion, orbital data, gradiometric data
National Category
Geophysics
Research subject
ENGINEERING
Identifiers
URN: urn:nbn:se:hv:diva-6154DOI: 10.1016/j.asr.2014.03.025ISI: 000338825400011Scopus ID: 2-s2.0-84902158135OAI: oai:DiVA.org:hv-6154DiVA: diva2:712911
Note

Available online 3 April 2014

Available from: 2014-04-17 Created: 2014-04-17 Last updated: 2016-11-21Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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