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The Necessity of Applying Analytical Downward Continuation Bias as a Correction in Restore Step of the One-Step Inversion Method
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A. Ebadi *   , A. A. Ardalan , R. Karimi |
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Abstract: (6683 Views) |
| One of the geoid determination methods is solving earth gravity boundary value problems based on the first derivative of the ellipsoidal Poisson’s integral, for gravity values transformation from the Earth’s surface to the gravity potential on the reference ellipsoid. This method is identified by transforming differential gravity observation on the earth’s surface through using a reference gravity field, to the gravity potential on the reference ellipsoid. Reference gravity fields are valid to use in non-topography areas, but applying them in the inner zone, where we have topography mass, would be associated with some error. In this paper, mathematical formula for estimating this error and the necessity of applying that in restore step of one-step inversion method has been evaluated. For the accuracy assessments, an area with real gravity data in the west of Iran has been considered. The results confirmed the accuracy of this correction term in computing reference field effect on potential space in restore step of one-step inversion method. |
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| Keywords: Analytical Downward Continuation bias, One-step inversion method, Geoid determination, Earth gravity field boundary value problems |
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Full-Text [PDF 395 kb]
(1759 Downloads)
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Type of Study: Research |
Subject:
Geo&Hydro
Received: 2015/01/21
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